Highly durable and chemically prestressable glasses

0001The invention relates to glasses and glass products which combine chemical temperability with very good resistance to alkali and acid, hydrolytic resistance and a desired coefficient of thermal expansion. Manufacturing methods of such glasses and their uses are also according to the invention.

<u>State of the art</u>

0002Chemically toughened glasses are required for many applications, in particular for applications in the areas of pharmaceutical packaging or touch-sensitive displays (“touch panel”). In general, a certain coefficient of thermal expansion is still required, and despite the sodium ions, which are generally present in large numbers due to their prestressability, no compromise can be made with regard to alkali, hydrolytic and acid resistance. There is a wealth of regulations and standards for the characterization of chemical resistance, in particular ISO 695 for alkali resistance, ISO 719/720 for hydrolytic as well as ISO 1776 and DIN 12116 for acid resistance.

0003<patcit id="pcit0001" dnum="DE102015116097A1"><text>DE 10 2015 116 097 A1</text></patcit>, <patcit id="pcit0002" dnum="US9783453B2"><text>US 9,783,453 B2</text></patcit>, <patcit id="pcit0003" dnum="US2015030827A1"><text>US 2015/030827 A1</text></patcit>, <patcit id="pcit0004" dnum="US9701580B2"><text>US 9,701,580 B2</text></patcit>, <patcit id="pcit0005" dnum="US9156725B2"><text>US 9,156,725 B2</text></patcit>, <patcit id="pcit0006" dnum="US9517967B2"><text>US 9,517,967 B2</text></patcit>, <patcit id="pcit0007" dnum="US2014050911A1"><text>US 2014/050911 A1</text></patcit>, <patcit id="pcit0008" dnum="US9822032B2"><text>US 9,822,032 B2</text></patcit>, <patcit id="pcit0009" dnum="US2015147575A1"><text>US 2015/147575 A1</text></patcit>, <patcit id="pcit0010" dnum="US2015140299A1"><text>US 2015/140299 A1</text></patcit>, <patcit id="pcit0011" dnum="WO15031427A2"><text>WO 15/031427 A2</text></patcit>, <patcit id="pcit0012" dnum="US2017320769A1"><text>US 2017/320769 A1</text></patcit>, <patcit id="pcit0013" dnum="WO17151771A1"><text>WO 17/151771 A1</text></patcit>, <patcit id="pcit0014" dnum="US2016251255A1"><text>US 2016/251255 A1</text></patcit>, <patcit id="pcit0015" dnum="DE102013114225A1"><text>DE 10 2013 114 225 A1</text></patcit> teach glasses that are intended for use in the "touch panel" area. However, the glasses described there mainly raise a large proportion of glassy albite (12.5 mol% Na₂O, 12.5 mol% Al₂O₃, 75 mol% SiO₂) as a constituent phase and leave little room for other phases that can have a favorable influence on the chemical prestressability.

0004The choice of glassy albite as the main component was made due to the high mobility of sodium ions in this glass system, which allows a great exchange depth (typically 30-50µm) to be achieved with the chemical prestressing by exchanging sodium for potassium. (Incidentally, the mineral albite also shows a high mobility of the sodium ions.) The level of the prestress in the layer near the surface does not depend on this mobility, but on the sodium concentration in the starting glass.

0005Since the great mobility of the sodium ions in the albite glass is linked to the high proportion of aluminum and a high proportion of aluminum dramatically lowers the acid resistance, it makes sense to use other sodium sources besides albite glass that promise great sodium mobility, e.g. disodium zinc silicate.

<u>task</u>

0006The prior art lacks glasses which combine chemical toughness with good chemical resistance. In addition, these glasses should have the desired thermal expansion properties. The glasses should also be able to be manufactured using modern tube drawing processes or flat glass drawing processes.

0007The object is solved by the subject matter of the claims.

<u>Description of the invention</u>

0008The task is accomplished by a specific combination of stoichiometric glasses, i.e. glasses that also exist as crystals in the same stoichiometry and whose properties are due to the fact that - as in the literature - with many examples by NMR measurements or the like. checked - identical topology of the assemblies for glass and crystal can be assumed to be very similar, solved. For this purpose, such stoichiometric glasses are selected, the mixture of which makes it possible to achieve behavior in the sense of solving the problem according to the invention. In this application, these stoichiometric glasses are also referred to as "constituent phases".

0009It is not a new concept to describe glasses based on their constituent phases. By specifying the basic glasses, conclusions can be drawn about the chemical structure of a glass (cf.<nplcit id="ncit0001" npl-type="s"><text>Conradt R: "Chemical structure, medium range order, and crystalline reference state of multicomponent oxide liquids and glasses", in Journal of Non-Crystalline Solids, Volumes 345-346, October 15, 2004, pages 16-23</text></nplcit>).

0010In a first embodiment, the present invention relates to a glass with a composition which is characterized by the following phases constituting the glass, this basic system defined by the constituent phases being limited according to the invention by the specified composition ranges:<tables id="tabl0001" num="0001"><table frame="all"><title><b>Table 1</b></title><tgroup cols="3"><colspec colnum="1" colname="col1" colwidth="38mm" /><colspec colnum="2" colname="col2" colwidth="21mm" /><colspec colnum="3" colname="col3" colwidth="23mm" /><thead><row><entry valign="top"><b>constituent phase</b></entry><entry valign="top"><b>Min (mol%)</b></entry><entry valign="top"><b>Max (mol%)</b></entry></row></thead><tbody><row><entry>albite</entry><entry>20</entry><entry>60</entry></row><row><entry>silica</entry><entry>0</entry><entry>40</entry></row><row><entry>orthoclase</entry><entry>0</entry><entry>20</entry></row><row><entry>wollastonite</entry><entry>0</entry><entry>10</entry></row><row><entry>enstatite</entry><entry>0</entry><entry>20</entry></row><row><entry>Parakeldyshit</entry><entry>0</entry><entry>20</entry></row><row><entry>Narsarsukit</entry><entry>0</entry><entry>20</entry></row><row><entry>Dinatriumzinksilicat</entry><entry>0</entry><entry>40</entry></row><row><entry>cordierite</entry><entry>0</entry><entry>20</entry></row><row><entry>strontium</entry><entry>0</entry><entry>10</entry></row><row><entry>barium</entry><entry>0</entry><entry>10</entry></row></tbody></tgroup></table></tables>

0011The basic systems expressly refer to the constituent phases mentioned and not to the simple oxides. However, it follows from the task and the choice of the constituent phases that the glasses preferably have a maximum of 12.5 mol% Al₂O₃ included to allow an advantageous solution in the space of these constituent phases. Glasses which, after conversion into the oxide composition, have more than 12.5 mol% of aluminum oxide are therefore preferably not part of this invention.

0012Furthermore, the glass according to the invention is intended to meet further conditions which are in the form of relationships with the composition of constituent phases or the composition of simple oxides, which are shown below.

0013Since both types of correlations - those relating to the composition specified in the constituent phases and those relating to the composition specified in simple oxides - are used side by side, we first provide conversion matrices for the mutual conversion of both composition data.

Conversion from the composition of constituent phases to the composition of simple oxides and vice versa

0014For the purpose of conversion, the composition of constituent phases is given in a standardized form, which reads:<tables id="tabl0002" num="0002"><table frame="all"><title><b>Table 2</b></title><tgroup cols="2"><colspec colnum="1" colname="col1" colwidth="36mm" /><colspec colnum="2" colname="col2" colwidth="61mm" /><thead><row><entry valign="top">constituent phase</entry><entry valign="top">Formula (standardized to a simple oxide)</entry></row></thead><tbody><row><entry>albite</entry><entry>(N / A₂O. Al₂O₃· 6SiO₂)/8</entry></row><row><entry>silica</entry><entry>SiO₂</entry></row><row><entry>orthoclase</entry><entry>(K₂O. Al₂O₃· 6SiO₂)/8</entry></row><row><entry>wollastonite</entry><entry>(CaO-SiO₂)/2</entry></row><row><entry>enstatite</entry><entry>(MgO · SiO₂)/2</entry></row><row><entry>Parakeldyshit</entry><entry>(N / A₂O .ZrO₂2SiO₂)/4</entry></row><row><entry>Narsarsukit</entry><entry>(N / A₂O · TiO₂· 4SiO₂)/6</entry></row><row><entry>Dinatriumzinksilicat</entry><entry>(N / A₂O · ZnO · 3 SiO₂)/5</entry></row><row><entry>cordierite</entry><entry>(2MgO 2Al₂O₃.5SiO₂)/9</entry></row><row><entry>strontium</entry><entry>(SrO-SiO₂)/2</entry></row><row><entry>barium</entry><entry>(BaO · SiO₂)/2</entry></row></tbody></tgroup></table></tables>

0015The conversion of these compositions into a composition in mol% with respect to the following simple oxides ...<tables id="tabl0003" num="0003"><table frame="all"><title><b>Table 3</b></title><tgroup cols="2"><colspec colnum="1" colname="col1" colwidth="21mm" /><colspec colnum="2" colname="col2" colwidth="23mm" /><thead><row><entry valign="top">#</entry><entry valign="top">oxide</entry></row></thead><tbody><row><entry>1.</entry><entry>SiO₂</entry></row><row><entry>2.</entry><entry>TiO₂</entry></row><row><entry>3.</entry><entry>ZrO₂</entry></row><row><entry>4.</entry><entry>al₂O₃</entry></row><row><entry>5.</entry><entry>ZnO</entry></row><row><entry>6.</entry><entry>MgO</entry></row><row><entry>7.</entry><entry>CaO</entry></row><row><entry>8.</entry><entry>SrO</entry></row><row><entry>9.</entry><entry>BaO</entry></row><row><entry>10.</entry><entry>N / A₂O</entry></row><row><entry>11.</entry><entry>K₂O</entry></row></tbody></tgroup></table></tables>... takes place with the help of the matrix given here. The composition in mol% with respect to the basic glasses is multiplied as a column vector from the right to the matrix:<tables id="tabl0004" num="0004"><img file="EP3590902A1_D0001.tif" /></tables>

0016The result of the multiplication of the column vector on the matrix is ​​the composition of the glass in mole percent.

0017Conversely, a composition in molar percentages can easily be converted into a base glass composition via the respective inverse matrix. Of course, only those base glass compositions which do not result in negative values ​​for the base glasses when converted are considered to be according to the invention.

Importance of the constituent phases and their selection with regard to the object of the invention

0018The composition is chosen with regard to the phases constituting the glass within the limits described herein. As such, the phases constituting the glass are of course not crystalline, but amorphous in the glass product. However, this does not mean that the constituent phases in the amorphous state have completely different assemblies than in the crystalline state. As mentioned above, the topology of the modules is comparable, e.g. the coordination of the cations involved with surrounding oxygen atoms or the interatomic distance resulting from the coordination and the strength of the bond between these cations and surrounding oxygen atoms. Therefore, many properties of the glass of the invention can be described well on the basis of the constituent phases, in particular in order to illustrate the inventive performance and the problems overcome with the invention (cf. Conradt R., loc. Cit.). The glass can of course not only be produced using the appropriate crystals, but also using the customary glass raw materials, as long as only the stoichiometric conditions allow the formation of the corresponding assemblies of the basic glasses.

0019The phases are selected with a view to suitability for ion transport or a beneficial influence on ion transport and their influence on hydrolytic stability and thermal expansion. In the following, calculation methods are given as to how these variables can be calculated from a given composition of constituent phases. These calculation methods are decisive both in the selection of the constituent phases and in the very composition of a glass according to the invention from these constituent phases.

0020Both the hydrolytic resistance according to ISO 719/720 and the alkali resistance according to ISO 695 essentially include a resistance of the glass to attack by hydroxyl ions. In the case of ISO 695, the concentration of the hydroxyl ions in the lye is determined by using a buffer solution with 0.5 mol / l sodium hydroxide and 0.25 mol / l sodium carbonate. In the case of ISO 719/720, the glass is placed in neutral water, the pH value of which is initially set to 5.5 (check using a methyl red indicator solution), but moves very quickly into the alkaline range due to the dissolution of the glass. A buffer solution is created from the weak acids (or acid anhydrides) contained in the glass, especially silica, and strong alkalis (such as sodium hydroxide), whose pH is in the range 9 to 10, see<nplcit id="ncit0002" npl-type="s"><text>Susanne Fagerlund, Paul Ek, Mikko Hupa and Leena Hupa: On determining chemical durability of glasses, Glass Technol .: Eur. J. Glass Sci. Technol. A, December 2010, 51 (6), 235-240</text></nplcit>, The pKs values ​​of the weak acid (s) are decisive for the pH of a buffer solution. The concentration of the hydroxyl ions is determined by the pH of the resulting buffer solution, which depends both on the type of glass and increases with the progress of dissolution. The dissolution by these hydroxyl ions then takes place according to the same mechanism as in the alkali resistance measurement.

0021In order to make a glass both alkali and hydrolytically resistant, the removal rate during the test according to ISO 695 must first be set to a low value. Secondly, the pH value that results during a test according to ISO 719/720 and the resulting dissolution of a certain amount of glass in the aqueous test solution must be limited. The higher this pH value increases in the course of the test, the greater the risk of a positive feedback effect: with increasing pH, the removal rate increases, with increasing amount of removal in the aqueous solution, its pH value increases, etc.

0022Chemically resistant glasses (hydrolytic class HGB I according to ISO 719 or hydrolytic class HGA I according to ISO 720) typically experience an erosion during the test, which leads to 100 µmol glass or less in the aqueous solution, the erosion generally being less congruent is, the lower it is.

0023Since a comparison of glasses must refer to fixed ratios, we now define the relevant pH as the pH which results from a congruent resolution of 50 µmol glass in neutral water.

0024Glasses in which this pH is less than 9.1 or preferably less than 9.05 or particularly preferably less than 9.0 are preferred according to the invention.

0025According to the invention, the removal rate according to ISO 695 is preferably at most 105 mg / (dm²3h), preferably at most 100 mg / (dm²3h), particularly preferably at most 95 mg / (dm²3h), very particularly preferably a maximum of 90 mg / (dm²3h), most preferably a maximum of 85 mg / (dm²3h). What is meant is the removal rate, which can be calculated using the formulas (2) and (3) for glasses of this invention.

0026The first value mentioned above is more than half a class width below the boundary between alkali classes 2 and 3 in accordance with ISO 695. This distance is deliberately chosen to be large enough to also accommodate possible tolerances in the prediction accuracy of formulas (2) and ( 3) still have a large safety distance from class 3.

0027According to the invention, the coefficient of thermal expansion is preferably between 4 and 8 ppm / K, preferably between 4.5 and 7ppm / K, particularly preferably between 4.8 and 6.5ppm / K. What is meant is the value CTE, which can be calculated using the formula (8) for glasses of this invention.

0028Regarding the removal rate in acid according to DIN12116, it can be said that this corresponds to an index class <200 of an acid class 3 and less in the glasses according to the invention and that it increases rapidly with an index> 215, sometimes by several orders of magnitude above the limit between Class 3 and 4 removal values. In between is a transition area. Glasses with a characteristic number <200, preferably <199, particularly preferably <198, very particularly preferably <197, even more preferably <196, most preferably <195 are preferred according to the invention.

Calculation of the pH value in the aqueous solution when testing the hydrolytic resistance

0029The calculation of the pH value in aqueous solution is based on the composition information in simple oxides. In the diluted solution of the glass components, the corresponding cations pass into the highly oxidized hydroxides, see Table 5. The release of an H⁺ or OH^- each of these hydroxides is described by a corresponding pKs or pKb value.

0030For pH, we refer to the value that is present in one liter of the aqueous solution after cooling to 50 µmol after cooling to room temperature (25 ° C).<tables id="tabl0005" num="0005"><table frame="all"><title><b>Table 5</b></title><tgroup cols="5"><colspec colnum="1" colname="col1" colwidth="13mm" /><colspec colnum="2" colname="col2" colwidth="36mm" /><colspec colnum="3" colname="col3" colwidth="38mm" /><colspec colnum="4" colname="col4" colwidth="52mm" /><colspec colnum="5" colname="col5" colwidth="28mm" /><thead><row><entry valign="top"><b>#</b></entry><entry valign="top"><b>Oxide or anhydride</b></entry><entry valign="top"><b>Acid or hydroxide</b></entry><entry valign="top" /><entry valign="top" /></row></thead><tbody><row><entry>1.</entry><entry>SiO₂</entry><entry>H₄SiO₄</entry><entry>H₄SiO₄→ H₃SiO₄^- + H⁺</entry><entry>pKs = 9.7 ¹)</entry></row><row><entry /><entry /><entry /><entry>H₃SiO₄^- → H₂SiO₄^-2 + H⁺</entry><entry>pKs = 11.9 ¹)</entry></row><row><entry>2.</entry><entry>ZrO₂</entry><entry>Zr (OH)₄</entry><entry>Zr (OH)₄ + H₂O → Zr (OH)₅^- + H⁺</entry><entry>pKs = 5.99 ²)</entry></row><row><entry /><entry /><entry /><entry>Zr (OH)₃⁺ + H₂O → Zr (OH)₄ + H⁺</entry><entry>pKs = 4.6 ²)</entry></row><row><entry>3.</entry><entry>Al2O₃</entry><entry>Al (OH)₃</entry><entry>Al (OH)₃ + H₂O → Al (OH)₄^- + H⁺</entry><entry>pKs = 12.3 ³)</entry></row><row><entry /><entry /><entry /><entry>Al (OH)₂⁺+ H₂O → Al (OH)₃ + H⁺</entry><entry>pKs = 5.7 ³)</entry></row><row><entry>4.</entry><entry>ZnO</entry><entry>Zn (OH)₂</entry><entry>Zn⁺²+ H₂O → ZnOH⁺ + H⁺</entry><entry>pKs = 9.05 ⁴)</entry></row><row><entry /><entry /><entry /><entry>ZnOH⁺+ H₂O → Zn (OH)₂ + H⁺</entry><entry>pKs = 9.75 ⁴)</entry></row><row><entry /><entry /><entry /><entry>Zn (OH)₂ + H₂O → Zn (OH)₃^- + H⁺</entry><entry>pKs = 10.1 ⁴)</entry></row><row><entry /><entry /><entry /><entry>Zn (OH)₃^- + H₂O → Zn (OH)₄^- + H⁺</entry><entry>pKs = 10.05 ⁴)</entry></row><row><entry>5.</entry><entry>MgO</entry><entry>Mg (OH)₂</entry><entry>Mg (OH)₂→ Mg (OH)⁺ + OH^-</entry><entry>pKb = -2 ⁵)</entry></row><row><entry /><entry /><entry /><entry>Mg (OH)⁺ → Mg⁺⁺ + OH^-</entry><entry>pKb = 2.58 ⁶)</entry></row><row><entry>6.</entry><entry>CaO</entry><entry>Ca (OH)₂</entry><entry>Ca (OH)₂→ Ca (OH)⁺ + OH^-</entry><entry>pKb = -2 ⁵)</entry></row><row><entry /><entry /><entry /><entry>Ca (OH)⁺ → approx⁺⁺ + OH^-</entry><entry>pKb = 1.3 ⁷)</entry></row><row><entry>7.</entry><entry>N / A₂O</entry><entry>NaOH</entry><entry>NaOH → Na⁺ + OH^-</entry><entry>pKb = -0.77 ¹⁰)</entry></row><row><entry>8.</entry><entry>K₂O</entry><entry>KOH</entry><entry>KOH → K⁺ + OH^-</entry><entry>pKb = -2 ¹¹)</entry></row><row><entry>10.</entry><entry>SrO</entry><entry>Sr (OH)₂</entry><entry>Sr (OH)₂→ Sr (OH)⁺ + OH^-</entry><entry>pKb = -2 ⁵)</entry></row><row><entry /><entry /><entry /><entry>Sr (OH)⁺ → Sr⁺⁺ + OH^-</entry><entry>pKb = 0.82 ¹²)</entry></row><row><entry>11.</entry><entry>BaO</entry><entry>Ba (OH)₂</entry><entry>Ba (OH)₂→ Ba (OH)⁺ + OH^-</entry><entry>pKb = -2 ⁵)</entry></row><row><entry /><entry /><entry /><entry>Ba (OH)⁺ → Ba⁺⁺ + OH^-</entry><entry>pKb = 0.64 ¹³)</entry></row></tbody></tgroup><tgroup cols="5" rowsep="0"><colspec colnum="1" colname="col1" colwidth="13mm" /><colspec colnum="2" colname="col2" colwidth="36mm" /><colspec colnum="3" colname="col3" colwidth="38mm" /><colspec colnum="4" colname="col4" colwidth="52mm" /><colspec colnum="5" colname="col5" colwidth="28mm" /><tbody><row><entry namest="col1" nameend="col5" align="justify">¹) <nplcit id="ncit0003" npl-type="s"><text>Pure appl. Chem., 1969, Vol. 20, No. 2, pp. 133-236</text></nplcit>, Paragraph 176; Value from the source labeled "G40" there.²) <nplcit id="ncit0004" npl-type="s"><text>RH Byrne, Inorganic speciation of dissolved elements in seawater: the influence of pH on concentration ratios, Geochem. Trans. 3 (2) (2002) 11-16</text></nplcit>. ³) <nplcit id="ncit0005" npl-type="b"><text>David W. Hendricks, Water Treatment Unit Processes: Physical and Chemical, CRC Taylor and Francis, Boca Raton, London, New York, 2006, p. 307</text></nplcit>; Values ​​from the sources labeled "4", "5", "11", "12".⁴) <nplcit id="ncit0006" npl-type="s"><text>Artur Krezel, Wolfgang Maret, The biological inorganic chemistry of zinc ions, Archives of Biochemistry and Biophysics (2016), pp. 1-17 </text></nplcit>⁵) <nplcit id="ncit0007" npl-type="s"><text>As with barium hydroxide, see Pure Appl. Chem., 1969, Vol. 20, No. 2, pp. 133-236</text></nplcit>, Paragraph 12, we assume that the M (OH)₂→ M (OH)⁺ + OH^- for all alkaline earths M is completely drained; for this first dissociation we use the highest pKb value in this table, namely that of potassium hydroxide, as the pKb value.⁶) <nplcit id="ncit0008" npl-type="s"><text>Pure appl. Chem., 1969, Vol. 20, No. 2, pp. 133-236</text></nplcit>, Paragraph 115; Value from the source labeled "S74" there.⁷) <nplcit id="ncit0009" npl-type="s"><text>Pure appl. Chem., 1969, Vol. 20, No. 2, pp. 133-236</text></nplcit>, Paragraph 18; Value from the source labeled "D9" there.¹⁰)<nplcit id="ncit0010" npl-type="s"><text> Pure appl. Chem., 1969, Vol. 20, No. 2, pp. 133-236</text></nplcit>, Paragraph 178; Value from the source labeled "G26" there.¹¹) <nplcit id="ncit0011" npl-type="s"><text>Pure appl. Chem., 1969, Vol. 20, No. 2, pp. 133-236</text></nplcit>, Paragraph 164; Value from the source labeled "K2" there.¹²) <nplcit id="ncit0012" npl-type="s"><text>Pure appl. Chem., 1969, Vol. 20, No. 2, pp. 133-236</text></nplcit>, Paragraph 180; Value from the source labeled "G26" there.¹³)<nplcit id="ncit0013" npl-type="s"><text> Pure appl. Chem., 1969, Vol. 20, No. 2, pp. 133-236</text></nplcit>, Paragraph 12; Value from the source labeled "D7" there.</entry></row></tbody></tgroup></table></tables>

0031For a given composition, the pH value follows by solving the system of equations for the different concentrations [...] (the values ​​listed above must be used for pKs and pKb):

System of equations (1)

0032<ol id="ol0001" ol-style=""><li>1. [H₂SiO₄^--] [H⁺] / [H₃SiO₄^-] = 10^PKS,</li><li>Second [H₃SiO₄^-] [H⁺] / [H₄SiO₄] = 10^PKS,</li><li>Third [H₂SiO₄^--] + [H₃SiO₄^-] + [H₄SiO₄] = 50 (µmol / l) ^∗ c_SiO2,</li><li>4th [Zr (OH)₅^-] [H⁺] / [Zr (OH)₄] = 10^PKS,</li><li>5th [Zr (OH)₄] [H⁺] / [Zr (OH)₃⁺] = 10^PKS,</li><li>6th [Zr (OH)₅^-] + [Zr (OH)₄] + [Zr (OH)₃⁺] = 50 (µmol / l) ^∗ c_ZrO2,</li><li>7th [Al (OH)₄^-] [H⁺] / [Al (OH)₃] = 10^PKS</li><li>8th. [Al (OH)₃] [H⁺] / [Al (OH)₂⁺] = 10^PKS,</li><li>9th [Al (OH)₄^-] + [Al (OH)₃] + [Al (OH)₂⁺] = 50 (µmol / l) ^∗ 2 ^∗ c_Al2O3,</li><li>10th [ZnOH⁺] [H⁺] / [Zn⁺⁺] = 10^PKS,</li><li>11th [Zn (OH)₂] [H⁺] / [ZnOH⁺] = 10^PKS,</li><li>12th [Zn (OH)₃] [H⁺] / [Zn (OH)₂] = 10^PKS,</li><li>13th [Zn (OH)₄^--] [H⁺] / [Zn (OH)₃^-] = 10^PKS,</li><li>14th [ZnOH⁺] + [Zn⁺⁺] + [Zn (OH)₂] + [Zn (OH)₃^-] + [Zn (OH)₄^--] = 50 (µmol / l) ^∗ c_ZnO,</li><li>15th [MgOH⁺] [OH^-] / [Mg (OH)₂] = 10^-pkb</li><li>16th [Mg⁺⁺] [OH^-] / [MgOH⁺] = 10^-pkb,</li><li>17th [MgOH⁺] + [Mg (OH)₂] + [Mg⁺⁺] = 50 (µmol / l) ^∗ c_MgO,</li><li>18th [CaOH⁺] [OH^-] / [Ca (OH)₂] = 10^-pkb</li><li>19th [Ca⁺⁺][OH^-] / [CaOH⁺] = 10^-pkb,</li><li>20th [CaOH⁺] + [Ca (OH)₂] + [Approx⁺⁺] = 50 (µmol / l) ^∗ c_CaO,</li><li>21st [SrOH⁺] [OH^-] / [Sr (OH)₂] = 10^-pkb</li><li>22nd [Sr⁺⁺][OH^-] / [SrOH⁺] = 10^-pkb,</li><li>23rd [SrOH⁺] + [Sr (OH)₂] + [Sr⁺⁺] = 50 (µmol / l) ^∗ c_SrO,</li><li>24th [BaOH⁺] [OH^-] / [Ba (OH)₂] = 10^-pkb</li><li>25th [Ba⁺⁺][OH^-] / [BaOH⁺] = 10^-pkb,</li><li>26th [BaOH⁺] + [Ba (OH)₂] + [Ba⁺⁺] = 50 (µmol / l) ^∗ c_BaO,</li><li>27th [N / A⁺][OH^-] / [NaOH] = 10^-pkb,</li><li>28th [N / A⁺] + [NaOH] = 50 (µmol / l) ^∗ 2 ^∗ C_Na2O,</li><li>29th [K⁺][OH^-] / [KOH] = 10^-pkb,</li><li>30th [K⁺] + [KOH] = 50 (µmol / l) ^∗ 2 ^∗ c_K2O,</li><li>31st [OH^-] [H⁺] = 10^-14,</li><li>32. 2^∗[H₂SiO₄^--] + [H₃SiO₄^-] + [Zr (OH)₅^-] + [Al (OH)₄^-] + 2^∗[Zn (OH)₄^--] + [Zn (OH)₃^-] + [OH^-] = [Zr (OH)₃⁺] + [Al (OH)₂⁺] + 2^∗[Zn⁺⁺] + [ZnOH⁺] + 2^∗[Ba⁺⁺] + [BaOH⁺] + 2^∗[Sr⁺⁺] + [SrOH⁺] + 2^∗[Ca⁺⁺] + [CaOH⁺] + 2^∗[Mg⁺⁺] + [MgOH⁺] + [Well⁺] + [K⁺] + [H⁺]</li></ol>

0033Equations 1-31 are equilibrium conditions, and equation 32 is the electroneutrality condition.

0034The system of equations can be clearly solved with one of the common mathematical codes such as MATHEMATICA from Wolfram Research Inc. MATHEMATICA provides a list of solutions, only one of which fulfills the additional condition that all concentrations must have positive values.

0035By definition, the pH value follows as a negative decimal logarithm of [H⁺]. We also note that pks + pkb = 14 applies at room temperature.

Calculation of the alkali resistance according to ISO 695

0036At this point, the invention is based on a surprisingly found connection between a quantity constructed with the aid of topological considerations and the removal rate measured during the test according to ISO 695.

0037Is the nature of topological considerations, such as in <patcit id="pcit0016" dnum="DE102014119594A1"><text>DE 10 2014 119 594 A1</text></patcit> detailed, to count the constraints imposed on the atoms by the bond to the neighboring atoms. On the one hand, these constraints relate to the interatomic distance ("distance conditions"), on the other hand, the bond angle ("angle conditions"). If an atom has r neighbors (r = coordination number), then the distance conditions to these neighbors r / 2 result in distance conditions to be assigned to this atom if the distance conditions are distributed equally between the two binding partners. From the bond angles between these neighbors, with the atom under consideration at the top of the respective angle, there follow further 2r-3 angular conditions that are to be assigned to this atom.

0038In <patcit id="pcit0017" dnum="DE102014119594A1"><text>DE 10 2014 119 594 A1</text></patcit> A method is described which, when calculating the distance and angular conditions, weighs all conditions with the individual bond strength and again an additional weighting of the angular conditions (only those resulting from the oxygen-cation-oxygen angles; those relating to the cation-oxygen Conditions belonging to cation angles are neglected) with the degree of covalence of the respective bond. The weighting factors are standardized by dividing by the individual bond strength or the degree of covalence of the silicon-oxygen bond, so that for quartz glass there is a number of (rounded) 1.333333333 (ie 4/3) spacing conditions and (rounded) 1.666666667 (ie 5/3) gives angular conditions per atom. This corresponds to how in<patcit id="pcit0018" dnum="DE102014119594A1"><text>DE 10 2014 119 594 A1</text></patcit> explained, the direct analysis of the topology of quartz glass, if one simply counts all distance and angle conditions and neglects the angle conditions of the silicon-oxygen-silicon angles.

0039Quartz glass therefore has a number of "3" constraints per atom, which exactly corresponds to the number of degrees of freedom per atom. Quartz glass should therefore have no (or more real: a very small) number of degrees of freedom per atom, which is the low c_pJump of quartz glass corresponds to the glass transition measured by differential calorimetry, see<nplcit id="ncit0014" npl-type="s"><text> R. Brüning, "On the glass transition in vitreous silica by differential thermal analysis measurements", Journal of Non-Crystalline Solids 330 (2003) 13-22</text></nplcit>.

0040For other oxidic glasses, the values ​​for the numbers of the distance and angle conditions per atom are generally lower than (rounded) 1.333333333 (4/3) and 1.666666667 (5/3). The differences are the numbers of degrees of freedom or angular degrees of freedom per atom. With the degrees of angular freedom, one can still differentiate whether the associated angular conditions relate to angles that are all in one plane (trigonal coordination) or not (tetrahedral or higher coordination). The latter are referred to here as 3D angle conditions; the difference to (rounded) 1.666666667 (4/3) accordingly as 3D degrees of freedom.

0041Surprisingly, there is a relationship between the number of 3D degrees of freedom of freedom per atom and the removal rate r in the ISO 695 test, which can be used to estimate the position of a glass in relation to the alkali resistance classes. This connection, which has been specially optimized for use on high-alkali glasses and tested on a large number of glasses, is given by:<maths id="math0001" num="(2)"><math display="block"><mrow><mi>r</mi><mo>=</mo><mi>c</mi><mo>⋅</mo><mfenced separators=""><mfrac><mi>M</mi><mrow><msub><mi>M</mi><mrow><msub><mi mathvariant="italic">SiO</mi><mn>2</mn></msub></mrow></msub></mrow></mfrac><mo>⋅</mo><mfrac><mi>N</mi><mrow><msub><mi>N</mi><mrow><msub><mi mathvariant="italic">SiO</mi><mn>2</mn></msub></mrow></msub></mrow></mfrac></mfenced><mo>⋅</mo><mfenced separators=""><msup><mrow><mfenced separators=""><mn>1</mn><mo>+</mo><mi>f</mi></mfenced></mrow><mn>6</mn></msup><mo>+</mo><mi mathvariant="italic">c '</mi></mfenced><mo>⋅</mo><mfenced separators=""><mn>0</mn><mo>,</mo><mn>9483333</mn><mo>−</mo><mi mathvariant="normal">Λ</mi></mfenced></mrow></math><img file="EP3590902A1_D0002.tif" /></maths> "c" is a constant with dimension mg / (dm²3h); the numerical value is 163.9. "f" is the number of 3D angular degrees of freedom per atom. "c" 'is a dimensionless constant with a value of 1.8. The exponent "6" has been found empirically. A is the optical basicity.

0042The factor N / N_{SiO<sub2>2</sub2>} is used to convert from a group of atoms on which the above probability has been made to a mole. N is the number of atoms per mole_SiO2 is the number of atoms per mole of quartz glass (namely 3N_A, N_A Avogadro number) and serves to standardize this expression. You can set this factor equal to a constant without a big error and pull this constant into the pre-factor "c" if you only move within a narrowly defined glass family. The factor M / M_SiO2 is used to convert the above atomic view to a mass view. M is the mass of a mole. M_SiO2 is the mass of a mole of quartz glass (namely 60.08g) and is used to standardize this expression. You can also set this factor equal to a constant without a major error and drag this constant into the pre-factor "c" if you only move within a narrowly defined glass family.

0043The relationship between the removal rate and the number of 3D angular degrees of freedom has been found empirically, as I said, but appears in view of the fact that the kinetics of the penetration of OH^--Ions in the glass depends on the entropy of the glass, plausible. The factor (0.9483333-A) is not associated with the kinetics of the process, but with the driving force of the acid-base reaction taking place in the lye as the glass dissolves.

0044Since the glasses according to the invention have a combination of the constituent phases specified above, it is expedient for the calculation of the number of 3D angular degrees of freedom per atom to first numerically state these for each constituent phase. The following applies:<tables id="tabl0006" num="0006"><table frame="all"><title><b>Table 6</b></title><tgroup cols="5"><colspec colnum="1" colname="col1" colwidth="33mm" /><colspec colnum="2" colname="col2" colwidth="37mm" /><colspec colnum="3" colname="col3" colwidth="21mm" /><colspec colnum="4" colname="col4" colwidth="33mm" /><colspec colnum="5" colname="col5" colwidth="43mm" /><thead><row><entry valign="top">Constituent phase</entry><entry valign="top">stoichiometry</entry><entry valign="top">Molar mass / g</entry><entry valign="top">Number of atoms per unit</entry><entry valign="top">Number of 3D angular degrees of freedom per atom</entry></row></thead><tbody><row><entry>albite</entry><entry>(N / A₂O. Al₂O₃· 6SiO₂)/8</entry><entry>65,5558</entry><entry>3,2500</entry><entry>0,318898019</entry></row><row><entry>silica</entry><entry>SiO₂</entry><entry>60,08</entry><entry>3,0000</entry><entry>0</entry></row><row><entry>orthoclase</entry><entry>(K₂O. Al₂O₃· 6SiO₂)/8</entry><entry>69,5829</entry><entry>3,2500</entry><entry>0,322595955</entry></row><row><entry>wollastonite</entry><entry>(CaO-SiO₂)/2</entry><entry>58,08</entry><entry>2,5000</entry><entry>0,573505131</entry></row><row><entry>enstatite</entry><entry>(MgO · SiO₂)/2</entry><entry>50,19</entry><entry>2,5000</entry><entry>0,541903867</entry></row><row><entry>Parakeldyshit</entry><entry>(N / A₂O .ZrO₂2SiO₂)/4</entry><entry>76,3416</entry><entry>3,0000</entry><entry>0,5871628</entry></row><row><entry>Narsarsukit</entry><entry>(N / A₂O · TiO₂· 4SiO₂)/6</entry><entry>63,7025</entry><entry>3,0000</entry><entry>0,379385407</entry></row><row><entry>Dinatriumzinksilicat</entry><entry>(N / A₂O · ZnO · 3 SiO₂)/5</entry><entry>64,7222</entry><entry>2,8000</entry><entry>0,52778666</entry></row><row><entry>cordierite</entry><entry>(2MgO 2Al₂O₃.5SiO₂)/9</entry><entry>64,9948</entry><entry>3,2222</entry><entry>0,427525472</entry></row><row><entry>strontium</entry><entry>(SrO-SiO₂)/2</entry><entry>81,437</entry><entry>2,5000</entry><entry>0,599379939</entry></row><row><entry>barium</entry><entry>(BaO · SiO₂)/2</entry><entry>106,7065</entry><entry>2,5000</entry><entry>0,60607952</entry></row></tbody></tgroup></table></tables>

0045The numerical values ​​are after the in <patcit id="pcit0019" dnum="DE102014119594A1"><text>DE 10 2014 119 594 A1</text></patcit> specified method have been calculated, here the number of degrees of freedom for all cations has been calculated as in <patcit id="pcit0020" dnum="DE102014119594A1"><text>DE 10 2014 119 594 A1</text></patcit> (but only for boron and aluminum there); in addition, the degree of ionization of a cation-oxygen compound is not from the formula (8)<patcit id="pcit0021" dnum="DE102014119594A1"><text>DE 10 2014 119 594 A1</text></patcit>, but from the formula (3) <nplcit id="ncit0015" npl-type="s"><text>Alberto Garcia, Marvon Cohen, First Principles Lonicity Scales, Phys. Rev. B 1993</text></nplcit> been calculated. You also need information about the coordination number of the respective cation, for which, according to Conradt, loc.cit., The coordination number in the respective constituent phase is used (if a cation occurs in several coordination numbers, the various coordination numbers are averaged according to the proportions ). The coordination numbers mentioned can be found in the literature for<nplcit id="ncit0016" npl-type="s"><text>Albit: American Mineralogist, Volume 61, pages 1213-1225, 1976</text></nplcit>, <nplcit id="ncit0017" npl-type="s"><text>American Mineralogist, Volume 62, pages 921-931, 1977</text></nplcit>, <nplcit id="ncit0018" npl-type="s"><text>American Mineralogist, Volume 64, pages 409-423, I979</text></nplcit>, <nplcit id="ncit0019" npl-type="s"><text>American Mineralogist, Volume 81, pages 1344-1349, 1996</text></nplcit>with regard to which sources Si and Al are assumed to be 4-fold and Na to be coordinated 5-fold; for SiO2 the 4-fold coordination of silicon is assumed to be generally known; For<nplcit id="ncit0020" npl-type="s"><text>Orthoclase: Canadian Mineralogist, Volume 17 pages 515-525, 1979</text></nplcit>regarding which source aluminum is coordinated as 4-fold, potassium as 9-fold and silicon as 4-fold; For<nplcit id="ncit0021" npl-type="b"><text>Wollastonite: Mineralogical Society of America, Special Paper 1, pages 293 - 302, 1963</text></nplcit>with regard to which source silicon is assumed to be 4-fold and calcium to be 6-fold coordinated; For<nplcit id="ncit0022" npl-type="s"><text>Enstatite: Canadian Mineralogist Vol. 37, pp 199-206, 1999</text></nplcit>with regard to which source silicon is assumed to be 4-fold and magnesium to be 6-fold coordinated; For<nplcit id="ncit0023" npl-type="s"><text>Paracel dyshit: Acta Chemica Scandinavia, 1997, 51, 259-263</text></nplcit>with regard to which source silicon is assumed to be 4-fold, zirconium as 6-fold and sodium as 8-fold coordinated; For<nplcit id="ncit0024" npl-type="s"><text> Narsarsukit: American Mineralogist 47 (1962), 539</text></nplcit>with regard to which source silicon is assumed to be 4-fold, titanium to be 6-fold and sodium to be 7-fold coordinated; <nplcit id="ncit0025" npl-type="s"><text>Disodium zinc silicate: Acta Cryst. (1977), B33, 1333-1337</text></nplcit>regarding which source silicon and zinc are assumed to be 4-fold and sodium to be 7-fold coordinated; For<nplcit id="ncit0026" npl-type="s"><text>Cordierite: American Mineralogist, Volume 77, pages 407-411, 1992</text></nplcit>with regard to which source silicon and aluminum are assumed to be 4-fold and magnesium to be 6-fold coordinated; For<nplcit id="ncit0027" npl-type="s"><text>Strontium silicate: Acta Cryst. C53, pages 534-536, 1997</text></nplcit>with regard to which source silicon is assumed to be 4-fold and strontium to be 8-fold coordinated; For<nplcit id="ncit0028" npl-type="b"><text> Barium silicate: Wolfram Hempel: structural property relationships in alkaline earth silicate-based phosphors, dissertation, physics, University of Augsburg, 2007</text></nplcit>, with regard to which source silicon is assumed to be 4-fold and barium to be 8-fold coordinated.

0046The calculation rule for determining the 3D angular degrees of freedom f per atom on the finished glass is: <maths id="math0002" num="(3)"><math display="block"><mrow><mi>f</mi><mo>=</mo><mfrac><mrow><mrow><mstyle displaystyle="false"><mrow><munderover><mo>∑</mo><mrow><mi>i</mi><mo>=</mo><mn>1</mn></mrow><mi>n</mi></munderover></mrow></mstyle><mrow><msub><mi>c</mi><mi>i</mi></msub><mo>⋅</mo><msub><mi>z</mi><mi>i</mi></msub><mo>⋅</mo><msub><mi>f</mi><mi>i</mi></msub></mrow></mrow></mrow><mrow><mrow><mstyle displaystyle="false"><mrow><munderover><mo>∑</mo><mrow><mi>i</mi><mo>=</mo><mn>1</mn></mrow><mi>n</mi></munderover></mrow></mstyle><mrow><msub><mi>c</mi><mi>i</mi></msub><mo>⋅</mo><msub><mi>z</mi><mi>i</mi></msub></mrow></mrow></mrow></mfrac><mo>,</mo></mrow></math><img file="EP3590902A1_D0003.tif" /></maths> where c_i is the molar fraction of the ith constituent phase in the glass composition under consideration, e.g._i the number of atoms per unit in the i-th constituent phase (or number of atoms per mole in the i-th constituent phase; then in units of N_A, N_A Avogadro number) and f_i the number of degrees of angular freedom per atom in the ith constituent phase. "n" is the number of constituent phases.

0047The calculation rule for determining M / M_SiO2 is: <maths id="math0003" num="(4)"><math display="block"><mrow><mfrac><mi>M</mi><mrow><msub><mi>M</mi><mrow><msub><mi mathvariant="italic">SiO</mi><mn>2</mn></msub></mrow></msub></mrow></mfrac><mo>=</mo><mfrac><mrow><mstyle displaystyle="false"><mrow><munderover><mrow><mo>∑</mo></mrow><mrow><mi>i</mi><mo>=</mo><mn>1</mn></mrow><mi>n</mi></munderover></mrow></mstyle><mrow><msub><mi>c</mi><mi>i</mi></msub><mo>⋅</mo><msub><mi>M</mi><mi>i</mi></msub></mrow></mrow><mrow><msub><mi>M</mi><mrow><msub><mi mathvariant="italic">SiO</mi><mn>2</mn></msub></mrow></msub><mo>⋅</mo><mrow><mstyle displaystyle="false"><mrow><munderover><mrow><mo>∑</mo></mrow><mrow><mi>i</mi><mo>=</mo><mn>1</mn></mrow><mi>n</mi></munderover></mrow></mstyle><mrow><msub><mi>c</mi><mi>i</mi></msub></mrow></mrow></mrow></mfrac><mo>,</mo></mrow></math><img file="EP3590902A1_D0004.tif" /></maths> where c_i is the molar fraction of the ith constituent phase in the glass composition under consideration and M_i the corresponding molar mass, "n" is the number of constituent phases.

0048The calculation rule for determining N / N_SiO2 is: <maths id="math0004" num="(5)"><math display="block"><mrow><mfrac><mi>N</mi><mrow><msub><mi>N</mi><mrow><msub><mi mathvariant="italic">SiO</mi><mn>2</mn></msub></mrow></msub></mrow></mfrac><mo>=</mo><mfrac><mrow><mstyle displaystyle="false"><mrow><munderover><mrow><mo>∑</mo></mrow><mrow><mi>i</mi><mo>=</mo><mn>1</mn></mrow><mi>n</mi></munderover></mrow></mstyle><mrow><msub><mi>c</mi><mi>i</mi></msub><mo>⋅</mo><msub><mi>z</mi><mi>i</mi></msub></mrow></mrow><mrow><mn>3</mn><mo>⋅</mo><mrow><mstyle displaystyle="false"><mrow><munderover><mrow><mo>∑</mo></mrow><mrow><mi>i</mi><mo>=</mo><mn>1</mn></mrow><mi>n</mi></munderover></mrow></mstyle><mrow><msub><mi>c</mi><mi>i</mi></msub></mrow></mrow></mrow></mfrac><mo>,</mo></mrow></math><img file="EP3590902A1_D0005.tif" /></maths> where c_i is the molar fraction of the ith constituent phase in the glass composition under consideration and z_i the number of atoms per unit in the i-th constituent phase (or number of atoms per mole in the i-th constituent phase; then in units of N_A, N_A Avogadro number), "n" is the number of constituent phases.

0049The factor (0.9483333-Λ) is associated with the driving force of the resolution by the following consideration. This driving force is higher the more "acidic" the glass is, ie the higher the proportion of acid anhydrides and the lower the proportion of base anhydrides. A quantitative measure of this is the optical basicity, see<nplcit id="ncit0029" npl-type="b"><text> CP Rodriguez, JS McCloy, MJ Schweiger, JV Crum, A, Winschell, Optical Basicity and Nepheline Crystallization in High Alumina Glasses, Pacific Northwest National Laboratories, PNNL 20184, EMSP-RPT 003</text></nplcit>, prepared for the US Department of Energy under contract DE-AC05-76RL01830. The lower the optical basicity, the higher the driving force. The case "driving force equals zero" exists if it is a material in which the acid-base reaction has gone through completely. We accept the latter case in particular if the glass has the stoichiometry of sodium metasilicate, that is, of all sodium silicates that occur as a solid, the one that has the highest sodium content. (Sodium orthosilicate only occurs in aqueous solution.) Its optical basicity according to the method described below for calculating it is 0.9483333, ie the value at which the above-mentioned factor (0.9483333-A) becomes zero by construction.

0050We calculate the optical basicity A according to formula B.1 with the coefficients Λ_χav (optical basicity according to Li and Xue) according to Section B.1.6 and Table B.1<nplcit id="ncit0030" npl-type="b"><text> CP Rodriguez, JS McCloy, MJ Schweiger, JV Crum, A, Winschell, Optical Basicity and Nepheline Crystallization in High Alumina Glasses, Pacific Northwest National Laboratories, PNNL 20184, EMSP-RPT 003</text></nplcit>, prepared for the US Department of Energy under contract DE-AC05-76RL01830. Where only one coefficient is given in the table for a simple oxide, this is used. Where several coefficients are given in the table for a simple oxide, the one that matches the coordination numbers of the respective cations in the constituent phases is used. For the basic system described above, this is only necessary for aluminum oxide and magnesium oxide. Since aluminum is available in a 4-way coordinated manner in all the constituent phases of the basic system and we do this in accordance with Conradt, loc. cit., also assume, the value given in Table B.1 for aluminum oxide for the coordination number 4 for the coefficient Λ_ICP used. Since magnesium is 6-coordinate in the only constituent phase of the basic system containing magnesium, the value given in Table B.1 for magnesium oxide for the coordination number 6 for the coefficient Λ_χav used.

acid resistance

0051Surprisingly, the acid resistance can also be estimated with the help of an easily calculable indicator. The starting point for the considerations behind this is the theory by Anderson and Stuart on ion mobility in silicate glasses, see<nplcit id="ncit0031" npl-type="s"><text>OL Anderson, DA Stuart, Calculation of Activation Energy of lonic Conductivity in Silica Glasses by Classical Methods, Journal of the American Ceramic Society, Vol. 37, No. 12 (1954), 573-580</text></nplcit>, According to this, the activation energy of the movement of a cation in a silicate and thus oxidic glass depends on the one hand on the electrostatic interaction with the surrounding oxygen ions to be overcome and on the other hand on the mechanical resistance to be overcome when changing from one mesh of the silicate network to the next. According to Coulomb's law, the first-mentioned contribution is proportional to the charge number of the cation in question and inversely proportional to the dielectric constant, the second-mentioned contribution is proportional to the shear modulus and the square of the amount by which the diameter of the cation under consideration exceeds the mesh size of the network. Because of the first-mentioned contribution, only single-charged cations are generally mobile and multiply-charged cations such as aluminum are stationary.

0052In contact with a highly concentrated acid, according to ISO 1776 or DIN 12116, that's 6N hydrochloric acid, that's different. In this case, protons or hydronium ions diffuse into the glass and form an electrical double layer on the surface with the choride ions remaining in the acid bath. Analysis of the eluate from measurements carried out in accordance with ISO 1776 has shown that this electrical double layer is formed to such an extent that the electrical field which is caused by it is able to compensate for the electrostatic interaction of the respective cation with the surrounding oxygen ions, so that ions with a high charge number can also become mobile. (Like the electrostatic interaction of the cation under consideration, the force effect of the electric field of the double layer mentioned depends on its charge number; the former can therefore be able to compensate for the latter.)

0053This can go so far that under the same test conditions (those of ISO 1776) considerably more aluminum ions leave an alkali-free display glass than sodium ions leave a soda-lime glass. On the other hand, fewer boron atoms leave a borosilicate glass than aluminum atoms leave an aluminosilicate glass under the same experimental conditions. This can be understood if one takes into account the significantly lower tendency of boron or silicon, according to the other electronegativity values, to react with hydrochloric acid than is the case with aluminum or sodium. The reaction of sodium oxide with hydrochloric acid is that of a strong base or a strong base anhydride with a strong acid, aluminum is in the middle as an amphoter and boron oxide or silicon oxide are the anhydrides of weak acids.

0054The tendency of a cation to leave the glass composite can be determined by the degree of ionization of the corresponding cation-oxygen compound, which is determined according to formula (3) <nplcit id="ncit0032" npl-type="s"><text>Alberto Garcia, Marvon Cohen, First Principles Lonicity Scales, Phys. Rev. B 1993</text></nplcit> calculated.

0055You also need information about the coordination number of the respective cation, for which, according to Conradt, loc.cit., The coordination number in the respective constituent phase is used (if a cation occurs in several coordination numbers, the various coordination numbers are averaged according to the proportions ). The coordination numbers mentioned can be found in the literature for<nplcit id="ncit0033" npl-type="s"><text> Albit: American Mineralogist, Volume 61, pages 1213-1225, 1976</text></nplcit>, <nplcit id="ncit0034" npl-type="s"><text>American Mineralogist, Volume 62, pages 921-931, 1977</text></nplcit>, <nplcit id="ncit0035" npl-type="s"><text>American Mineralogist, Volume 64, pages 409-423, I979</text></nplcit>, <nplcit id="ncit0036" npl-type="s"><text>American Mineralogist, Volume 81, pages 1344-1349, 1996</text></nplcit>with regard to which sources Si and Al are assumed to be 4-fold and Na to be coordinated 5-fold; for SiO2 the 4-fold coordination of silicon is assumed to be generally known; For<nplcit id="ncit0037" npl-type="s"><text>Orthoclase: Canadian Mineralogist, Volume 17 pages 515-525, 1979</text></nplcit>regarding which source aluminum is coordinated as 4-fold, potassium as 9-fold and silicon as 4-fold; For<nplcit id="ncit0038" npl-type="b"><text>Wollastonite: Mineralogical Society of America, Special Paper 1, pages 293 - 302, 1963</text></nplcit>with regard to which source silicon is assumed to be 4-fold and calcium to be 6-fold coordinated; For<nplcit id="ncit0039" npl-type="s"><text>Enstatite: Canadian Mineralogist Vol. 37, pp 199-206, 1999</text></nplcit>with regard to which source silicon is assumed to be 4-fold and magnesium to be 6-fold coordinated; For<nplcit id="ncit0040" npl-type="s"><text>Paracel dyshit: Acta Chemica Scandinavia, 1997, 51, 259-263</text></nplcit>with regard to which source silicon is assumed to be 4-fold, zirconium as 6-fold and sodium as 8-fold coordinated; For<nplcit id="ncit0041" npl-type="s"><text>Narsarsukit: American Mineralogist 47 (1962), 539</text></nplcit>with regard to which source silicon is assumed to be 4-fold, titanium to be 6-fold and sodium to be 7-fold coordinated; <nplcit id="ncit0042" npl-type="s"><text>Disodium zinc silicate: Acta Cryst. (1977), B33, 1333-1337</text></nplcit>regarding which source silicon and zinc are assumed to be 4-fold and sodium to be 7-fold coordinated; For<nplcit id="ncit0043" npl-type="s"><text>Cordierite: American Mineralogist, Volume 77, pages 407-411, 1992</text></nplcit>with regard to which source silicon and aluminum are assumed to be 4-fold and magnesium to be 6-fold coordinated; For<nplcit id="ncit0044" npl-type="s"><text>Strontium silicate: Acta Cryst. C53, pages 534-536, 1997</text></nplcit>with regard to which source silicon is assumed to be 4-fold and strontium to be 8-fold coordinated; For<nplcit id="ncit0045" npl-type="b"><text>Barium silicate: Wolfram Hempel: structural property relationships in alkaline earth silicate-based phosphors, dissertation, physics, University of Augsburg, 2007</text></nplcit>, with regard to which source silicon is assumed to be 4-fold and barium to be 8-fold coordinated.

0056Multiplying the degree of ionization of the compound (degree of ionization according to Pauling, according to formula (3))<nplcit id="ncit0046" npl-type="s"><text> Alberto Garcia, Marvon Cohen, First Principles Lonicity Scales, Phys. Rev. B 1993</text></nplcit> calculated, see above) with the valence number or valence of the cation, a key figure is obtained which describes the network destruction caused by the cation leaving the network. The valence of the cation indicates the number of hydronium ions that have to replace the cation for reasons of electroneutrality. Each hydronium ion destroys one and a half oxygen bridges in the glass, which then leads to the observed gel formation in the case of an acid attack, see for example<nplcit id="ncit0047" npl-type="s"><text>T. Geisler, A. Janssen, D. Scheiter, T. Stephan, J. Berndt, A. Putnis, Aqueous corrosion of borosilicate glass under acidic conditions: A new corrosion mechanism, Journal of Non-Crystalline Solids 356 (2010) 1458- 1465</text></nplcit>.

0057Multiplication of the respective key figure by the number of moles of the cations in question in a mole of glass and summation over all cations leads to a key figure of the degree of network destruction which an acid attack on the glass initially causes. In particular, key figures for the glasses are determined, which are produced from a constituent phase. If the glass is broken down into constituent phases, the proportion of the respective constituent phase given in mole percent is multiplied by the last-mentioned key figure phase and it is then summed up over all constituent phases)

0058Remarkably, as already explained above, there is a clear connection to the acid classes according to DIN 12116; in the key figure range 190-210, the acid class increases rapidly from 1 to 4. Therefore, the smallest possible key figure is desirable.

0059The key figures k are for the constituent phases of the basic glass system according to the invention_i tabulated below so that the characteristic number of a glass according to the invention can be calculated using the following formula: <maths id="math0005" num="(6)"><math display="block"><mrow><mi>k</mi><mo>=</mo><mfrac><mrow><mstyle displaystyle="false"><mrow><munderover><mrow><mo>∑</mo></mrow><mrow><mi>i</mi><mo>=</mo><mn>1</mn></mrow><mi>n</mi></munderover></mrow></mstyle><mrow><msub><mi>c</mi><mi>i</mi></msub><mo>⋅</mo><msub><mi>k</mi><mi>i</mi></msub></mrow></mrow><mrow><mrow><mstyle displaystyle="false"><mrow><munderover><mrow><mo>∑</mo></mrow><mrow><mi>i</mi><mo>=</mo><mn>1</mn></mrow><mi>n</mi></munderover></mrow></mstyle><mrow><msub><mi>c</mi><mi>i</mi></msub></mrow></mrow></mrow></mfrac></mrow></math><img file="EP3590902A1_D0006.tif" /></maths>

0060N is the number of constituent phases, c_i the respective molar fraction (mole percent / 100).<tables id="tabl0007" num="0007"><table frame="all"><title><b>Table 7</b></title><tgroup cols="3"><colspec colnum="1" colname="col1" colwidth="33mm" /><colspec colnum="2" colname="col2" colwidth="38mm" /><colspec colnum="3" colname="col3" colwidth="24mm" /><tbody><row><entry>albite</entry><entry>(N / A₂O. Al₂O₃· 6SiO₂)/8</entry><entry>208,797171</entry></row><row><entry>silica</entry><entry>SiO₂</entry><entry>178,9111743</entry></row><row><entry>orthoclase</entry><entry>(K₂O. Al₂O₃· 6SiO₂)/8</entry><entry>209,3328332</entry></row><row><entry>wollastonite</entry><entry>(CaO-SiO₂)/2</entry><entry>181,9311358</entry></row><row><entry>enstatite</entry><entry>(MgO · SiO₂)/2</entry><entry>178,7332098</entry></row><row><entry>Parakeldyshit</entry><entry>(N / A₂O .ZrO₂2SiO₂)/4</entry><entry>220,9573858</entry></row><row><entry>Narsarsukit</entry><entry>(N / A₂O · TiO₂· 4SiO₂)/6</entry><entry>200,2637459</entry></row><row><entry>Dinatriumzinksilicat</entry><entry>(N / A₂O · ZnO · 3 SiO₂)/5</entry><entry>176,7133128</entry></row><row><entry>cordierite</entry><entry>(2MgO 2Al₂O₃.5SiO₂)/9</entry><entry>229,1163552</entry></row><row><entry>strontium</entry><entry>(SrO-SiO₂)/2</entry><entry>184,1495204</entry></row><row><entry>barium</entry><entry>(BaO · SiO₂)/2</entry><entry>184,535871</entry></row></tbody></tgroup></table></tables>

Thermal expansion coefficient

0061Surprisingly, the position of the coefficient of thermal expansion in the desired range can also be represented using a very simple calculation rule. This results from the average bond strength.

0062It is known from the literature that the coefficient of thermal expansion, for example for metals, is inversely proportional to the binding energy (or to the "depth of the interatomic potential wells"), see for example <nplcit id="ncit0048" npl-type="b"><text>H. Föll, script for the lecture "Introduction to Materials Science I", Christian Albrechts University Kiel, pp. 79 - 83</text></nplcit>.

0063In a simple picture of oxidic glasses, the cations are placed in a potential well formed by the surrounding oxygen atoms and the depth is taken to be the sum of the bond strengths of the various single bonds to the surrounding oxygen atoms, i.e. the entire interaction energy is concentrated in potential wells with the cations in the center and the oxygen atoms in the periphery. The reverse case no longer needs to be considered; it would also be more difficult to analyze, since an oxygen atom can be located between several different types of cations, which, conversely, cannot occur in purely oxidic glasses. These values ​​are tabulated, e.g. in<patcit id="pcit0022" dnum="DE102014119594A1"><text>DE 10 2014 119 594 A1</text></patcit>: <tables id="tabl0008" num="0008"><table frame="all"><title><b>Table 8</b></title><tgroup cols="2"><colspec colnum="1" colname="col1" colwidth="16mm" /><colspec colnum="2" colname="col2" colwidth="46mm" /><thead><row><entry valign="top"><b>cation</b></entry><entry valign="top"><b>Potential pot depth / (kJ / mol)</b></entry></row></thead><tbody><row><entry>Si</entry><entry>1864</entry></row><row><entry>Ti</entry><entry>1913</entry></row><row><entry>Zr</entry><entry>2204</entry></row><row><entry>al</entry><entry>1537</entry></row><row><entry>Zn</entry><entry>728</entry></row><row><entry>mg</entry><entry>999</entry></row><row><entry>Ca</entry><entry>1063</entry></row><row><entry>Sr</entry><entry>1005</entry></row><row><entry>Ba</entry><entry>976</entry></row><row><entry>N / A</entry><entry>440,5</entry></row><row><entry>K</entry><entry>395</entry></row></tbody></tgroup></table></tables>

0064The values ​​for Ti, Zr, Sr, Ba and Zn do not come from <patcit id="pcit0023" dnum="DE102014119594A1"><text>DE 10 2014 119 594 A1</text></patcit>, but were calculated using the exact same method described there with the sources cited there.

0065An average potential pot depth can be calculated from the composition of a glass from the constituent phases specified above, the number of different cations contained in the respective phases and the potential pot depths per cation tabulated above: <maths id="math0006" num="(7)"><math display="block"><mrow><mover><mrow><msub><mi>e</mi><mi mathvariant="italic">pot</mi></msub></mrow><mrow><mo>‾</mo></mrow></mover><mo>=</mo><mfrac><mrow><mrow><mstyle displaystyle="false"><mrow><munderover><mo>∑</mo><mrow><mi>i</mi><mo>=</mo><mn>1</mn></mrow><mi>n</mi></munderover></mrow></mstyle><msub><mi>c</mi><mi>i</mi></msub></mrow><mo>⋅</mo><mrow><mstyle displaystyle="false"><mrow><munderover><mo>∑</mo><mrow><mi>j</mi><mo>=</mo><mn>1</mn></mrow><mi>m</mi></munderover></mrow></mstyle><mrow><msub><mi>z</mi><mrow><mi>i</mi><mo>,</mo><mi>j</mi></mrow></msub></mrow><mo>⋅</mo><msub><mi>e</mi><mrow><mi mathvariant="italic">pot</mi><mo>,</mo><mi>j</mi></mrow></msub></mrow></mrow><mrow><mrow><mstyle displaystyle="false"><mrow><munderover><mo>∑</mo><mrow><mi>i</mi><mo>=</mo><mn>1</mn></mrow><mi>n</mi></munderover></mrow></mstyle><mrow><msub><mi>c</mi><mi>i</mi></msub></mrow><mo>⋅</mo><mrow><mstyle displaystyle="false"><mrow><munderover><mo>∑</mo><mrow><mi>j</mi><mo>=</mo><mn>1</mn></mrow><mi>m</mi></munderover></mrow></mstyle><msub><mi>z</mi><mrow><mi>i</mi><mo>,</mo><mi>j</mi></mrow></msub></mrow></mrow></mrow></mfrac><mo>,</mo></mrow></math><img file="EP3590902A1_D0007.tif" /></maths>

0066M is the number of cation types occurring, E_{pot, j} the potential well depth tabulated above for the jth cation type and z_{j, i} the number of cations of the j-th type in the i-th constituent phase. The sums over j are tabulated below:<tables id="tabl0009" num="0009"><table frame="all"><title><b>Table 9</b></title><tgroup cols="4"><colspec colnum="1" colname="col1" colwidth="40mm" /><colspec colnum="2" colname="col2" colwidth="64mm" /><colspec colnum="3" colname="col3" colwidth="24mm" /><colspec colnum="4" colname="col4" colwidth="37mm" /><thead><row><entry valign="top"><b>constituent phase</b></entry><entry valign="top"><b>Formula (standardized to a simple oxide)</b></entry><entry align="center" valign="top"><maths id="math0007" num=""><math display="block"><mrow><mstyle displaystyle="true"><mrow><munderover><mrow><mo>∑</mo></mrow><mrow><mi>j</mi><mo>=</mo><mn>1</mn></mrow><mi>m</mi></munderover></mrow></mstyle><mrow><msub><mi>z</mi><mrow><mi>i</mi><mo>,</mo><mi>j</mi></mrow></msub></mrow></mrow></math><img file="EP3590902A1_D0008.tif" /></maths></entry><entry valign="top"><maths id="math0008" num=""><math display="block"><mrow><mstyle displaystyle="false"><mrow><munderover><mrow><mo>∑</mo></mrow><mrow><mi>j</mi><mo>=</mo><mn>1</mn></mrow><mi>m</mi></munderover></mrow></mstyle><mrow><msub><mi>z</mi><mrow><mi>i</mi><mo>,</mo><mi>j</mi></mrow></msub></mrow><mo>⋅</mo><msub><mi>e</mi><mrow><mi mathvariant="italic">pot</mi><mo>,</mo><mi>j</mi></mrow></msub><mo>/</mo><mfenced separators=""><mi>kJ</mi><mo>/</mo><mi>mol</mi></mfenced></mrow></math><img file="EP3590902A1_D0009.tif" /></maths></entry></row></thead><tbody><row><entry>albite</entry><entry>(N / A₂O. Al₂O₃· 6SiO₂)/8</entry><entry align="center">1,25</entry><entry align="center">1892,375</entry></row><row><entry>silica</entry><entry>SiO₂</entry><entry align="center">1</entry><entry align="center">1864</entry></row><row><entry>orthoclase</entry><entry>(K₂O. Al₂O₃· 6SiO₂)/8</entry><entry align="center">1,25</entry><entry align="center">1881</entry></row><row><entry>wollastonite</entry><entry>(CaO-SiO₂)/2</entry><entry align="center">1</entry><entry align="center">1463,5</entry></row><row><entry>enstatite</entry><entry>(MgO · SiO₂)/2</entry><entry align="center">1</entry><entry align="center">1431,5</entry></row><row><entry>Parakeldyshit</entry><entry>(N / A₂O .ZrO₂2SiO₂)/4</entry><entry align="center">1,25</entry><entry align="center">1703</entry></row><row><entry>Narsarsukit</entry><entry>(N / A₂O · TiO₂· 4SiO₂)/6</entry><entry align="center">1,166666667</entry><entry align="center">1708,33</entry></row><row><entry>Dinatriumzinksilicat</entry><entry>(N / A₂O · ZnO · 3 SiO₂)/5</entry><entry align="center">1,2</entry><entry align="center">1440,2</entry></row><row><entry>cordierite</entry><entry>(2MgO 2Al₂O₃.5SiO₂)/9</entry><entry align="center">1,222222222</entry><entry align="center">1940,666667</entry></row><row><entry>strontium</entry><entry>(SrO-SiO₂)/2</entry><entry align="center">1</entry><entry align="center">1434,5</entry></row><row><entry>barium</entry><entry>(BaO · SiO₂)/2</entry><entry align="center">1</entry><entry align="center">1420</entry></row></tbody></tgroup></table></tables>

0067This average bond strength depends, as for example also with metals, see H. Föll, loc. cit., inversely proportional to the coefficient of thermal expansion. The evaluation of a number of relevant glasses leads to the following formula:<maths id="math0009" num="(8)"><math display="block"><mrow><mi mathvariant="italic">CTE</mi><mo>=</mo><mfenced separators=""><mfrac><mrow><mn>50082</mn><mo>,</mo><mn>42827</mn><mfenced><mfrac><mi mathvariant="italic">kJ</mi><mi mathvariant="italic">mol</mi></mfrac></mfenced></mrow><mrow><mover><mrow><msub><mi>e</mi><mi mathvariant="italic">pot</mi></msub></mrow><mrow><mo>‾</mo></mrow></mover></mrow></mfrac><mo>−</mo><mo>−</mo><mn>26</mn><mo>,</mo><mn>14910156</mn></mfenced><mi mathvariant="italic">ppm</mi><mo>/</mo><mi>K</mi><mo>,</mo></mrow></math><img file="EP3590902A1_D0010.tif" /></maths>

0068Since the bond strength is inversely proportional to the melting point, an inverse proportionality also applies between the melting point and the coefficient of expansion, see again H. Föll, loc. cit. Since the melting point of non-stoichiometric glasses is not precisely defined, there is only a tendency relationship between the temperature, generally referred to as the melting point, at which the viscosity is 100 dPas, and the coefficient of expansion. However, this ensures that the glasses according to the invention can be melted.

0069While the requirement for good meltability suggests the largest possible coefficient of thermal expansion, conversely, the requirement for the lowest possible thermal stresses in the event of thermal postprocessing suggests the lowest possible coefficient of thermal expansion. The combination of both requirements leads to the preferred middle range for the expansion coefficient or the average potential well depth.

Chemical preload

0070In order to ensure optimum interchangeability, the sodium oxide content of the glasses according to the invention is preferably 3 mol% to 12 mol%. What is meant is the molar proportion of this oxide after converting the composition into the corresponding oxide composition.

0071Furthermore, in order to ensure a high degree of interchangeability, a high value of the same is sought because of the relationship to the coefficient of thermal expansion, see <nplcit id="ncit0049" npl-type="s"><text>Journal of Non-Crystalline Solids 455 (2017) 70-74</text></nplcit>, As can be seen from the above explanations regarding the coefficient of thermal expansion, this is increased in particular by adding alkali or alkaline earth ions. As can be seen from the above explanations on alkali resistance, this also leads to a high alkali resistance due to the connection with the driving force when dissolving in the alkaline medium. However, this also leads to an increase in the above Regulate certain pH, which in turn lowers the hydrolytic resistance.

0072Glasses in which the quotient of the thermal expansion coefficient multiplied by 1000 (in ppm / K) on the one hand and the product of the pH value and the calculated removal rate in an alkaline medium (in mg / (dm²3h)) according to ISO 695, on the other hand, at least 7.75, preferably at least 8, preferably at least 8.25, particularly preferably at least 8.5, very particularly preferably at least 8.75, even more preferably at least 9, most preferably at least 9.25 is. This means the calculated values ​​for the thermal expansion coefficient, the pH value and the removal rate according to ISO 695.

Selection of suitable constituent phases

albite

0073A basic glass represented as the constituent phase in the glass of this invention is albite glass. From the ideal albite (NaAlSi₃O₈) is known to be built from a SiO framework₄- and AlO₄Tetrahedra with high sodium ions movable in the framework <nplcit id="ncit0050" npl-type="s"><text>Sodium diffusivity, see Geochimica et Cosmochimica Acta, 1963, Vol. 27, pages 107-120</text></nplcit>, A proportion of albite glass therefore contributes to high sodium mobility, which has a beneficial effect on the ion exchange and thus the chemical temperability of the glasses. Compared to nepheline, which has an even higher sodium diffusivity (artificial variant without potassium: NaAlSiO₄) the albite has the advantage of a significantly lower melting point (1100-1120 ° C), which improves the meltability of the glass.

0074An insufficient amount of albite impairs the ion exchangeability or chemical prestressability with regard to the exchange of sodium for potassium. Pure albite glass would have an optimal chemical temperability, but would not be useful in terms of the required chemical resistance, especially the acid resistance. According to the invention, one mole (Na₂O. Al₂O₃· 6SiO₂) / 8 understood.

0075The proportion of albite in the glass according to the invention is at least 20 mol% and at most 60 mol%. Preferred proportions in the glass according to the invention are at least 25 mol%, at least 30 mol%, at least 35 mol% or particularly preferably at least 40 mol%. The albite content is preferably at most 56 mol% or up to 50 mol%.

0076As hydroxides, all components have an influence on the pH when measuring the hydrolytic stability. Aluminum hydroxide is sparingly soluble in neutral aqueous solution and weak alkalis; however, the solubility limit is significantly higher than the concentrations that occur in the measurements of the hydrolytic stability.

orthoclase

0077To suppress a possible tendency to segregate, the potassium analog of the albite, the orthoclase, is added as a second phase. One mole (K₂O. Al₂O₃· 6SiO₂) / 8 understood.

0078The proportion of orthoclase in the glass according to the invention is from 0 mol% to at most 20 mol%. Preferred proportions in the glass according to the invention are at most 15 mol%, at most 10 mol% or preferably at most 5 mol%. In certain embodiments, the proportion of orthoclase is at least 1 mol%, preferably at least 2 mol%. In other preferred embodiments, the glass is free of orthoclase. In particular, the orthoclase content in some preferred embodiments does not exceed the entatite content.

0079As hydroxides, all components have an influence on the pH when measuring the hydrolytic stability.

Parakeldvshit

0080Parakeldyshite is added as a further sodium-conducting phase. As a crystal, paracel dyshite is a three-dimensional network of silicon tetrahedra and zirconium octahedra, with 8-coordinate sodium atoms in the cavities in between. This zeolite-like, loose (very high coordination number for sodium) structure supports ion mobility. There is a structurally related potassium analogue, the Khibinskit, so that an exchange of sodium for potassium is also possible. Please refer<nplcit id="ncit0051" npl-type="s"><text>G. Raabe, MH Mladeck, Parakeldyshit from Norway, Canadian Mineralogist Vol. 15, pp. tO2-IO7 (1977</text></nplcit>).

0081This is advantageous in order to enable the sodium and potassium ions to move rapidly when exchanging ions. The tension build-up when exchanging sodium for potassium is rather low due to the loose network; however, it is more important for the above-mentioned applications to achieve a large exchange depth than a high preload (the preload only serves its purpose if the exchange depth during ion exchange is greater than the depth of possible surface damage such as scratches).

0082The zirconium contained is important for the measurement of hydrolytic resistance. Zirconium hydroxide precipitates in aqueous solution and weak alkalis, but only from a certain concentration that cannot be achieved with hydrolytic resistance measurements. Because of its pks values, it has a pH-lowering effect.

0083One mole (Na₂O .ZrO₂2SiO₂) / 4 understood. The proportion of paracel dyshite in the glass according to the invention is 0 to 20 mol%; the upper limit is chosen with regard to the devitrification problem associated with zirconium. The proportion of paraceldyshite in the glass according to the invention is preferably at most 15 mol%, at most 10 mol% or particularly preferably at most 5 mol%. In certain embodiments, the proportion of paracel dyshite is at least 1 mol%, preferably at least 2 mol%. In other preferred embodiments, the glass is free of paracel dyshite. In particular, the paracel dyshite content in some preferred embodiments does not exceed the entatite content.

Narsarsukit

0084As a crystal, narsarsukite is a three-dimensional network of silicon tetrahedra and titanium octahedra, with 7-coordinate sodium atoms in the cavities in between. This structure supports ion mobility. Please refer<nplcit id="ncit0052" npl-type="s"><text>DRPeacor, MJ Buerger, The Determination and Refinement of the Structure of Narsarsukite, Na2TiOSi4O10, American Mineralogist Vol. 67, 5-6 pp. 539-556 (1962</text></nplcit>). There is a potassium analogue, see<nplcit id="ncit0053" npl-type="s"><text>K. Abraham, OW Flörke, and K. Krumbholz, hydrothermal imaging and crystal data of K2TiSi3O9, K2TiSi4O11, K2TiSi6O15, K2ZrSi3O9 and K2O · 4SiO2 · H2O, progress. Mineral 49 (1971), 5-7</text></nplcit>, so that an exchange of sodium for potassium is also possible.

0085The titanium contained precipitates as titanium dioxide in aqueous solution and bases and has no influence on the measurement of the hydrolytic resistance.

0086One mole (Na₂O · TiO₂· 4SiO₂) / 6 understood. The nasar succit content in the glass according to the invention is 0 to 20 mol%. Preferred proportions in the glass according to the invention are at most 10 mol%, at most 5 mol%, at most 3 mol%, at most 2 mol% or at most 1 mol%. In certain embodiments, the glass may be free of narsarsukite, in particular the narsarsukite content may be less than the wollastonite and / or entatitol content.

Dinatriumzinksilicat

0087As a crystal, disodium zinc silicate is a three-dimensional network of silicon and zinc tetrahedra, with at least 7-coordinate sodium atoms in the cavities in between. This structure supports ion mobility. Please refer<nplcit id="ncit0054" npl-type="s"><text>K.-F. Hesse, F. Liebau, H. Böhm, Disodiumzincosilicate, Na2ZnSi3O8, Acta. Cryst. B33 (1977), 1333-1337</text></nplcit>, There is a potassium analogue, see<nplcit id="ncit0055" npl-type="s"><text> WA Dollase, CR Ross II, Crystal Structure, of K2ZnSi3O8, Journal of Crystallography 206 (1993), 25-32</text></nplcit>, so that an exchange of sodium for potassium is readily possible, however, the large cavities do not lead to a large "swelling" of the structure when ion exchange is to be expected, so that the proportion of disodium zinc silicate must be limited if a high prestress on the surface is desired.

0088The zinc contained as amphoteric zinc hydride has hardly any influence on the pH when measuring the hydrolytic stability. It is sparingly soluble in neutral aqueous solution; however, the solubility limit is significantly higher than the concentrations that occur in the measurements of the hydrolytic stability.

0089Under one mole of disodium zinc silicate, one mole (Na₂O · ZnO · 3 SiO₂) / 5 understood. The content of disodium zinc silicate in the glass according to the invention is 0% to 40%.

0090Preferred proportions in the glass according to the invention are at least 0.1 mol%, at least 1 mol%, at least 2 mol%, at least 5 mol% or particularly preferably at least 10 mol%. In preferred embodiments, the content is at most 19 mol%, at most 18 mol%, at most 17 mol% or at most 15 mol%.

cordierite

0091Cordierite is alkaline-free in and of itself, but nevertheless has a high sodium mobility due to its structure and low packing density, which is known from the degradation of cordierite glass ceramics, see<nplcit id="ncit0056" npl-type="s"><text> Ceramics International 22 (1996) 73-77</text></nplcit>.

0092Precisely because of the absence of alkali, cordierite - in contrast to the previous phases - does not contribute to a large expansion coefficient, which is not desirable due to the associated reduced thermal load capacity.

0093Because of these advantageous properties, cordierite is also taken up in the constituent phases, one mole of (2MgO.2Al₂O₃.5SiO₂) / 9 is understood. The cordierite content in the glass according to the invention is 0% to 20%.

0094Preferred proportions in the glass according to the invention are at most 15 mol% or preferably at most 10 mol%. In certain embodiments, the proportion of cordierite is at least 1 mol%, preferably at least 2 mol%. In other preferred embodiments, the glass is cordierite free. In particular, the cordierite content in some preferred embodiments does not exceed the disodium zinc silicate content.

Entatite, wollastonite, strontium silicate, barium silicate

0095The aluminum contained in cordierite has the advantage of promoting sodium mobility, but at the same time has the disadvantage of increasing acid sensitivity. For this reason, phases are also added, the contribution of which shifts the coefficient of expansion to medium values, but which do not contain aluminum. For this purpose, alkaline earth silicates are selected, namely enstatite, with one mole (MgO · SiO₂) / 2 is understood, wollastonite, one mol of wollastonite being one mole (CaO · SiO₂) / 2 is understood, strontium silicate, with one mole of strontium silicate being one mole (SrO · SiO₂) / 2 is understood, and barium silicate, with one mole of barium silicate being one mole (BaO · SiO₂) / 2 is understood.

0096The proportions in the glass according to the invention are 0% to 20% for entstatite and 0% to 10% for strontium silicate, barium silicate and wollastonite.

0097Preferred proportions of enstatite are 1 to 15 mol%, 2 to 10 mol% or particularly preferably 4 to 8 mol%. The proportion of entstatite is preferably at least as high as the proportion of wollastonite and / or at least as high as the proportion of paracel dyshite.

0098Preferred proportions of wollastonite are at most 8 mol%, at most 6 mol%, at most 5 mol% or particularly preferably at most 4 mol%. In certain embodiments, the proportion of wollastonite is at least 1 mol%, preferably at least 2 mol%. In other embodiments, the glass is free of wollastonite. In particular, in some preferred embodiments, the wollastonite content does not exceed the entatite content. The sum of the proportions of wollastonite and cordierite is preferably in a range from 1 to 20 mol%, 2 to 15 mol% or particularly preferably 3 to 12 mol%. The ratio of the proportion of albite to the sum of the proportions of wollastonite and cordierite is preferably in a range from 1 to 30, 2 to 20 or particularly preferably 3 to 16.

0099Preferred proportions of strontium silicate are at most 8 mol%, at most 5 mol% or preferably at most 2 mol%. In certain embodiments, the proportion of strontium silicate is at least 1 mol%, preferably at least 1.5 mol%. In other embodiments, the glass is free of strontium silicate. In particular, the strontium silicate content does not exceed the wollastonite content in some preferred embodiments.

0100Preferred proportions of barium silicate are at most 5 mol%, at most 2 mol% or particularly preferably at most 1 mol%. In certain embodiments, the glass can be free of barium silicate, in particular the barium silicate content can be lower than the wollastonite and / or entatite content.

0101The glass is particularly preferably free of narsarsucite and / or barium silicate.

silica

0102Pure silicon dioxide is added with a view to lowering the coefficient of expansion and the advantageous effect with regard to all three types of chemical resistance. The proportions in the glass according to the invention are 0% to 40%.

0103Preferred proportions of silicon dioxide are 10 to 35 mol% or particularly preferably 15 to 30 mol%.

0104The sum of the proportions of albite, silicon dioxide and disodium zinc silicate is preferably at least 50 mol%, at least 60 mol% or at least 70 mol%.

0105The ratio of the proportion of disodium zinc silicate to the proportion of silicon dioxide is in a range from 0.1 to 2.0 or from 0.2 to 1.5 or preferably from 0.3 to 1.0.

Other components

0106In addition to the components already mentioned, the glass can contain further constituents, which are referred to herein as the “rest”. The proportion of the rest of the glass according to the invention is preferably at most 3 mol%, so as not to disturb the glass properties set by careful selection of suitable basic glasses. In particular, the content of individual oxides, in particular lithium dioxide, is preferably limited to &lt;1 mol%. In particularly preferred embodiments, the proportion of residue in the glass is at most 2 mol%, more preferably at most 1 mol% or at most 0.5 mol%. The rest contains in particular oxides that are not contained in the basic glasses mentioned here. Thus, the rest contains no SiO in particular₂, Al₂O₃, ZrO₂, TiO₂, ZnO, MgO, CaO, SrO, BaO, Na₂O or K₂O.

0107When it is stated in this description that the glasses are free of a component or a constituent phase or do not contain a certain component or constituent phase, this means that this component or constituent phase may at best be present as an impurity in the glasses , This means that it is not added in significant quantities. Not essential amounts according to the invention are amounts of less than 300 ppm (molar), preferably less than 100 ppm (molar), particularly preferably less than 50 ppm (molar) and most preferably less than 10 ppm (molar). The glasses of this invention are especially free of lead, arsenic, antimony, bismuth and / or cadmium.

0108The rest does not appear in the formulas. Except for the formulas for the pH value, all formulas are designed as if the portion consisting of the constituent phases would make up 100%. The rest are neglected in the formulas for pH.

0109After conversion to the oxide composition, the proportion of B is₂O₃ in the glasses of the invention preferably less than 4 mol%, more preferably less than 3 mol%, more preferably less than 2 mol%, more preferably less than 1 mol%, more preferably less than 0.5 mol%. The glasses are particularly preferably free of B.₂O₃.

0110After conversion to the oxide composition, the proportion of P is₂O₅ in the glasses of the invention preferably less than 4 mol%, more preferably less than 3 mol%, more preferably less than 2 mol%, more preferably less than 1 mol%, more preferably less than 0.5 mol%. The glasses are particularly preferably free of P.₂O₅.

0111After conversion to the oxide composition, the ratio of the molar fraction of Al is₂O₃ to the molar proportion of K₂O in the glasses of the invention preferably at least 1, more preferably at least 1.1.

0112After conversion to the oxide composition, the proportion of Li₂O in the glasses of the invention preferably at most 4 mol%, more preferably at most 3 mol%, more preferably at most 2 mol%, more preferably at most 1 mol%, more preferably at most 0.5 mol%. The glasses are particularly preferably free of Li₂O.

0113After conversion into the oxide composition, the proportion of fluorine in the glasses of the invention is preferably at most 4 mol%, more preferably at most 3 mol%, more preferably at most 2 mol%, more preferably at most 1 mol%, more preferably at most 0.5 mol% , The glasses are particularly preferably free of fluorine.

<u>Preferred glass compositions</u>

0114In the context of the above-mentioned basic system, the preferred embodiments result from the specification of a desired thermal expansion and a desired sodium concentration.

0115The solution to the problem according to the invention then consists in achieving a combination of a low removal rate in an alkaline environment (cf. ISO 695 above), a low pH value and high acid resistance, while observing the specifications. This is done with the help of the above formulas (1) - (6). If reference is made in this description to the key figure for the acid resistance, the removal rate according to ISO 695, the CTE and / or the pH value, this means the calculated value, unless otherwise stated.

0116A preferred composition is characterized by the following phases constituting the glass:<tables id="tabl0010" num="0010"><table frame="all"><title><b>Table 10</b></title><tgroup cols="3"><colspec colnum="1" colname="col1" colwidth="38mm" /><colspec colnum="2" colname="col2" colwidth="21mm" /><colspec colnum="3" colname="col3" colwidth="23mm" /><thead><row><entry valign="top"><b>constituent phase</b></entry><entry valign="top"><b>Min (mol%)</b></entry><entry valign="top"><b>Max (mol%)</b></entry></row></thead><tbody><row><entry>albite</entry><entry>30</entry><entry>60</entry></row><row><entry>silica</entry><entry>10</entry><entry>30</entry></row><row><entry>orthoclase</entry><entry>0</entry><entry>5</entry></row><row><entry>wollastonite</entry><entry>0</entry><entry>5</entry></row><row><entry>enstatite</entry><entry>1</entry><entry>10</entry></row><row><entry>Parakeldyshit</entry><entry>0</entry><entry>5</entry></row><row><entry>Narsarsukit</entry><entry>0</entry><entry>1</entry></row><row><entry>Dinatriumzinksilicat</entry><entry>5</entry><entry>20</entry></row><row><entry>cordierite</entry><entry>0</entry><entry>10</entry></row><row><entry>strontium</entry><entry>0</entry><entry>5</entry></row></tbody></tgroup></table></tables>

<u>manufacturing</u>

0117According to the invention is also a method for producing a glass of this invention, with the steps:<ul id="ul0001" list-style="dash"><li>Melting the glass raw materials,</li><li>optionally forming a glass article, in particular a glass tube, from the glass melt</li><li>Cooling the glass.</li></ul>

0118The shaping of the glass can include a drawing process, in particular a pipe drawing process or a drawing process for flat glass. The cooling can be carried out actively using a coolant, for example a cooling fluid, or by passive cooling.

<u>Uses and glass articles</u>

0119In addition to the glass, glass articles, such as glass tubes and containers (such as bottles, ampoules, cartridges, syringes), as well as the use of the glass for chemical tempering and the use for the production of glass tubes and pharmaceutical containers, in particular primary packaging, are also according to the invention. The glass articles are preferably intended for use as packaging for pharmaceutical products, in particular as containers for liquids. In the context of these uses, the hydrolytic and alkali resistance are of particular interest.

Comparative examples from the prior art

Comparative Examples 1-31

0120Comparative Examples 1-31 are the examples of Glass A - EE <patcit id="pcit0024" dnum="US9718721B2"><text>US 9,718,721 B2</text></patcit>. <patcit id="pcit0025" dnum="US9718721B2"><text>US 9,718,721 B2</text></patcit> teaches alkaline earth aluminum silicate glasses with improved chemical and mechanical resistance. Of these, G, I, J, Q - V, X, DD, EE contain ≥1% Li₂O and are not according to the invention. The other examples have the composition:<tables id="tabl0011" num="0011"><table frame="all"><title><b>Table 11</b></title><tgroup cols="18"><colspec colnum="1" colname="col1" colwidth="10mm" /><colspec colnum="2" colname="col2" colwidth="14mm" /><colspec colnum="3" colname="col3" colwidth="21mm" /><colspec colnum="4" colname="col4" colwidth="12mm" /><colspec colnum="5" colname="col5" colwidth="12mm" /><colspec colnum="6" colname="col6" colwidth="12mm" /><colspec colnum="7" colname="col7" colwidth="12mm" /><colspec colnum="8" colname="col8" colwidth="12mm" /><colspec colnum="9" colname="col9" colwidth="12mm" /><colspec colnum="10" colname="col10" colwidth="12mm" /><colspec colnum="11" colname="col11" colwidth="12mm" /><colspec colnum="12" colname="col12" colwidth="12mm" /><colspec colnum="13" colname="col13" colwidth="12mm" /><colspec colnum="14" colname="col14" colwidth="12mm" /><colspec colnum="15" colname="col15" colwidth="12mm" /><colspec colnum="16" colname="col16" colwidth="12mm" /><colspec colnum="17" colname="col17" colwidth="12mm" /><colspec colnum="18" colname="col18" colwidth="12mm" /><thead><row><entry valign="top" /><entry valign="top" /><entry valign="top"><b>A</b></entry><entry valign="top"><b>B</b></entry><entry valign="top"><b>C</b></entry><entry valign="top"><b>D</b></entry><entry valign="top"><b>F</b></entry><entry valign="top"><b>H</b></entry><entry valign="top"><b>K</b></entry><entry valign="top"><b>L</b></entry><entry valign="top"><b>M</b></entry><entry valign="top"><b>N</b></entry><entry valign="top"><b>O</b></entry><entry valign="top"><b>P</b></entry><entry valign="top"><b>W</b></entry><entry valign="top"><b>AA</b></entry><entry valign="top"><b>BB</b></entry><entry valign="top"><b>CC</b></entry></row><row><entry valign="top"><b>#</b></entry><entry valign="top"><b>oxide</b></entry><entry valign="top"><b>mol%</b></entry><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /></row></thead><tbody><row><entry>1.</entry><entry>SiO₂</entry><entry>68,3</entry><entry>68,6</entry><entry>67,7</entry><entry>70,8</entry><entry>71,7</entry><entry>71,7</entry><entry>72,3</entry><entry>72,3</entry><entry>72,3</entry><entry>72,3</entry><entry>71,7</entry><entry>72,2</entry><entry>72,4</entry><entry>72,4</entry><entry>72,4</entry><entry>72,5</entry></row><row><entry>2.</entry><entry>TiO₂</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry></row><row><entry>3.</entry><entry>ZrO₂</entry><entry>1,5</entry><entry>1,5</entry><entry>1,5</entry><entry>1,5</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry></row><row><entry>4.</entry><entry>al₂O₃</entry><entry>9</entry><entry>9,3</entry><entry>10,2</entry><entry>7,1</entry><entry>7,4</entry><entry>7,4</entry><entry>7,1</entry><entry>7,1</entry><entry>7,1</entry><entry>7,4</entry><entry>7,4</entry><entry>7,4</entry><entry>7,4</entry><entry>7,4</entry><entry>7,4</entry><entry>7,6</entry></row><row><entry>5.</entry><entry>ZnO</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>1,5</entry></row><row><entry>6.</entry><entry>MgO</entry><entry>5,1</entry><entry>5,1</entry><entry>5,1</entry><entry>5,1</entry><entry>5,1</entry><entry>5,1</entry><entry>5,1</entry><entry>5,1</entry><entry>5,1</entry><entry>6,8</entry><entry>6,5</entry><entry>5,1</entry><entry>2,6</entry><entry>2,6</entry><entry>2,6</entry><entry>2,6</entry></row><row><entry>7.</entry><entry>CaO</entry><entry>5,3</entry><entry>5,3</entry><entry>5,3</entry><entry>5,3</entry><entry>5,3</entry><entry>4,3</entry><entry>5,3</entry><entry>5,3</entry><entry>5,3</entry><entry>4,3</entry><entry>5,5</entry><entry>4,3</entry><entry>5,3</entry><entry>4,3</entry><entry>3,3</entry><entry>2,5</entry></row><row><entry>8.</entry><entry>SrO</entry><entry>3,8</entry><entry>3,8</entry><entry>3,8</entry><entry>3,8</entry><entry>3,8</entry><entry>0,5</entry><entry>3,8</entry><entry>3,8</entry><entry>3,8</entry><entry>0,5</entry><entry>1</entry><entry>0,5</entry><entry>3,8</entry><entry>4,8</entry><entry>5,8</entry><entry>3,8</entry></row><row><entry>9.</entry><entry>BaO</entry><entry>1,4</entry><entry>1,4</entry><entry>1,4</entry><entry>1,4</entry><entry>1,4</entry><entry>0,5</entry><entry>1,4</entry><entry>1,4</entry><entry>0</entry><entry>0,5</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry></row><row><entry>10.</entry><entry>N / A₂O</entry><entry>2,5</entry><entry>2,5</entry><entry>2,5</entry><entry>2,5</entry><entry>2,5</entry><entry>10</entry><entry>2,5</entry><entry>4,5</entry><entry>5,9</entry><entry>7,7</entry><entry>7,4</entry><entry>10</entry><entry>8</entry><entry>8</entry><entry>8</entry><entry>9</entry></row><row><entry>11.</entry><entry>K₂O</entry><entry>2,5</entry><entry>2,5</entry><entry>2,5</entry><entry>2,5</entry><entry>2,5</entry><entry>0,5</entry><entry>2,5</entry><entry>0,5</entry><entry>0,5</entry><entry>0,5</entry><entry>0,5</entry><entry>0,5</entry><entry>0,5</entry><entry>0,5</entry><entry>0,5</entry><entry>0,5</entry></row><row><entry>12.</entry><entry>rest</entry><entry>0.6 (B₂O₃)</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0,3</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry></row></tbody></tgroup></table></tables>

0121The conversion into constituent phases shows that none of the compositions AC, H, N-P, W, AA-CC belongs to the basic system according to the invention. The conversion into constituent phases further shows that the in<patcit id="pcit0026" dnum="US9718721B2"><text>US 9,718,721 B2</text></patcit> Examples denoted by D, F, K - M belong to the basic system according to the invention, but do not fall within the composition range according to the invention, since the proportion of wollastonite is too high. E is identical to D.<tables id="tabl0012" num="0012"><table frame="all"><title><b>Table 12</b></title><tgroup cols="6"><colspec colnum="1" colname="col1" colwidth="38mm" /><colspec colnum="2" colname="col2" colwidth="14mm" /><colspec colnum="3" colname="col3" colwidth="14mm" /><colspec colnum="4" colname="col4" colwidth="14mm" /><colspec colnum="5" colname="col5" colwidth="14mm" /><colspec colnum="6" colname="col6" colwidth="14mm" /><thead><row><entry valign="top" /><entry valign="top"><b>D</b></entry><entry valign="top"><b>F</b></entry><entry valign="top"><b>K</b></entry><entry valign="top"><b>L</b></entry><entry valign="top"><b>M</b></entry></row><row><entry valign="top"><b>constituent phase</b></entry><entry valign="top"><b>mol%</b></entry><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /></row></thead><tbody><row><entry>albite</entry><entry>8,00</entry><entry>20,00</entry><entry>20,00</entry><entry>36,00</entry><entry>47,20</entry></row><row><entry>silica</entry><entry>25,80</entry><entry>22,50</entry><entry>23,55</entry><entry>23,55</entry><entry>18,65</entry></row><row><entry>orthoclase</entry><entry>20,00</entry><entry>20,00</entry><entry>20,00</entry><entry>4,00</entry><entry>4,00</entry></row><row><entry>wollastonite</entry><entry>10,60</entry><entry>10,60</entry><entry>10,60</entry><entry>10,60</entry><entry>10,60</entry></row><row><entry>enstatite</entry><entry>3,00</entry><entry>5,40</entry><entry>6,00</entry><entry>6,00</entry><entry>8,80</entry></row><row><entry>Parakeldyshit</entry><entry>6,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry></row><row><entry>Narsarsukit</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry></row><row><entry>Dinatriumzinksilicat</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry></row><row><entry>cordierite</entry><entry>16,20</entry><entry>10,80</entry><entry>9,45</entry><entry>9,45</entry><entry>3,15</entry></row><row><entry>strontium</entry><entry>7,60</entry><entry>7,60</entry><entry>7,60</entry><entry>7,60</entry><entry>7,60</entry></row><row><entry>barium</entry><entry>2,80</entry><entry>2,80</entry><entry>2,80</entry><entry>2,80</entry><entry>0,00</entry></row></tbody></tgroup></table></tables>

0122The calculated properties are:<tables id="tabl0013" num="0013"><table frame="all"><title><b>Table 13</b></title><tgroup cols="5"><colspec colnum="1" colname="col1" colwidth="13mm" /><colspec colnum="2" colname="col2" colwidth="66mm" /><colspec colnum="3" colname="col3" colwidth="50mm" /><colspec colnum="4" colname="col4" colwidth="27mm" /><colspec colnum="5" colname="col5" colwidth="10mm" /><thead><row><entry valign="top">Ser. No.</entry><entry valign="top">ISO 695: calculated removal rate / mg / (dm²3h)</entry><entry valign="top">Key figure for acid resistance:</entry><entry valign="top">Calculated CTE</entry><entry valign="top">pH</entry></row></thead><tbody><row><entry>D</entry><entry>96,34</entry><entry>198,90</entry><entry>6,26</entry><entry>9,10</entry></row><row><entry>F</entry><entry>93,06</entry><entry>197,30</entry><entry>6,39</entry><entry>9,11</entry></row><row><entry>K</entry><entry>92,15</entry><entry>196,56</entry><entry>6,35</entry><entry>9,11</entry></row><row><entry>L</entry><entry>88,28</entry><entry>196,49</entry><entry>6,32</entry><entry>9,11</entry></row><row><entry>M</entry><entry>87,24</entry><entry>196,51</entry><entry>6,01</entry><entry>9,11</entry></row></tbody></tgroup></table></tables>

Comparative Examples 32-55

0123Comparative Examples 32-55 are the examples of Glasses A-O, 1-9 designated there <patcit id="pcit0027" dnum="US8753994B2"><text>US 8,753,994 B2</text></patcit>. <patcit id="pcit0028" dnum="US8753994B2"><text>US 8,753,994 B2</text></patcit> teaches glasses with good chemical and mechanical resistance. Examples 7-9 contain ≥1% B₂O₃ and are not according to the invention. The other examples have the composition:<tables id="tabl0014" num="0014"><table frame="all"><title><b>Table 14</b></title><tgroup cols="14"><colspec colnum="1" colname="col1" colwidth="8mm" /><colspec colnum="2" colname="col2" colwidth="12mm" /><colspec colnum="3" colname="col3" colwidth="19mm" /><colspec colnum="4" colname="col4" colwidth="10mm" /><colspec colnum="5" colname="col5" colwidth="10mm" /><colspec colnum="6" colname="col6" colwidth="10mm" /><colspec colnum="7" colname="col7" colwidth="10mm" /><colspec colnum="8" colname="col8" colwidth="10mm" /><colspec colnum="9" colname="col9" colwidth="14mm" /><colspec colnum="10" colname="col10" colwidth="14mm" /><colspec colnum="11" colname="col11" colwidth="14mm" /><colspec colnum="12" colname="col12" colwidth="14mm" /><colspec colnum="13" colname="col13" colwidth="14mm" /><colspec colnum="14" colname="col14" colwidth="14mm" /><thead><row><entry valign="top" /><entry valign="top" /><entry valign="top"><b>A</b></entry><entry valign="top"><b>B</b></entry><entry valign="top"><b>C</b></entry><entry valign="top"><b>D</b></entry><entry valign="top"><b>e</b></entry><entry valign="top"><b>F</b></entry><entry valign="top"><b>G</b></entry><entry valign="top"><b>H</b></entry><entry valign="top"><b>I</b></entry><entry valign="top"><b>1</b></entry><entry valign="top"><b>2</b></entry><entry valign="top"><b>3</b></entry></row><row><entry valign="top"><b>#</b></entry><entry valign="top"><b>oxide</b></entry><entry valign="top"><b>mol%</b></entry><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /></row></thead><tbody><row><entry>1.</entry><entry>SiO₂</entry><entry>70,8</entry><entry>72,8</entry><entry>74,8</entry><entry>76,8</entry><entry>76,8</entry><entry>77,4</entry><entry>76,965</entry><entry>76,852</entry><entry>76,962</entry><entry>76,919</entry><entry>76,96</entry><entry>77,156</entry></row><row><entry>2.</entry><entry>TiO₂</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry></row><row><entry>3.</entry><entry>ZrO₂</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry></row><row><entry>4.</entry><entry>al₂O₃</entry><entry>7,5</entry><entry>7</entry><entry>6,5</entry><entry>6</entry><entry>6</entry><entry>7</entry><entry>5,943</entry><entry>6,974</entry><entry>7,958</entry><entry>8,95</entry><entry>4,977</entry><entry>3,997</entry></row><row><entry>5.</entry><entry>ZnO</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry></row><row><entry>6.</entry><entry>MgO</entry><entry>6,3</entry><entry>5,8</entry><entry>5,3</entry><entry>4,8</entry><entry>4,8</entry><entry>4,8</entry><entry>4,842</entry><entry>4,878</entry><entry>4,802</entry><entry>4,836</entry><entry>4,852</entry><entry>4,757</entry></row><row><entry>7.</entry><entry>CaO</entry><entry>0,5</entry><entry>0,5</entry><entry>0,5</entry><entry>0,5</entry><entry>0,5</entry><entry>0,5</entry><entry>0,474</entry><entry>0,478</entry><entry>0,481</entry><entry>0,48</entry><entry>0,468</entry><entry>0,462</entry></row><row><entry>8.</entry><entry>SrO</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry></row><row><entry>9.</entry><entry>BaO</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry></row><row><entry>10.</entry><entry>N / A₂O</entry><entry>13,7</entry><entry>12,7</entry><entry>11,7</entry><entry>10,7</entry><entry>11,6</entry><entry>10</entry><entry>11,427</entry><entry>10,473</entry><entry>9,451</entry><entry>8,468</entry><entry>12,393</entry><entry>13,277</entry></row><row><entry>11.</entry><entry>K₂O</entry><entry>1</entry><entry>1</entry><entry>1</entry><entry>1</entry><entry>0,1</entry><entry>0,1</entry><entry>0,101</entry><entry>0,1</entry><entry>0,102</entry><entry>0,105</entry><entry>0,1</entry><entry>0,1</entry></row><row><entry>12.</entry><entry>rest</entry><entry>0.2 (SnO₂)</entry><entry>0,2</entry><entry>0,2</entry><entry>0,2</entry><entry>0,2</entry><entry>0,2</entry><entry>0,248</entry><entry>0,245</entry><entry>0,244</entry><entry>0,242</entry><entry>0,25</entry><entry>0,251</entry></row></tbody></tgroup></table></tables><tables id="tabl0015" num="0015"><table frame="all"><title><b>Table 15</b></title><tgroup cols="11"><colspec colnum="1" colname="col1" colwidth="9mm" /><colspec colnum="2" colname="col2" colwidth="13mm" /><colspec colnum="3" colname="col3" colwidth="22mm" /><colspec colnum="4" colname="col4" colwidth="13mm" /><colspec colnum="5" colname="col5" colwidth="13mm" /><colspec colnum="6" colname="col6" colwidth="13mm" /><colspec colnum="7" colname="col7" colwidth="13mm" /><colspec colnum="8" colname="col8" colwidth="13mm" /><colspec colnum="9" colname="col9" colwidth="15mm" /><colspec colnum="10" colname="col10" colwidth="33mm" /><colspec colnum="11" colname="col11" colwidth="15mm" /><thead><row><entry valign="top" /><entry valign="top" /><entry valign="top"><b>J</b></entry><entry valign="top"><b>K</b></entry><entry valign="top"><b>L</b></entry><entry valign="top"><b>4</b></entry><entry valign="top"><b>5</b></entry><entry valign="top"><b>6</b></entry><entry valign="top"><b>M</b></entry><entry valign="top"><b>N</b></entry><entry valign="top"><b>O</b></entry></row><row><entry valign="top"><b>#</b></entry><entry valign="top"><b>oxide</b></entry><entry valign="top"><b>mol%</b></entry><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /></row></thead><tbody><row><entry>1.</entry><entry>SiO₂</entry><entry>76,99</entry><entry>77,1</entry><entry>77,1</entry><entry>77,1</entry><entry>76,97</entry><entry>77,12</entry><entry>76,86</entry><entry>76,778</entry><entry>76,396</entry></row><row><entry>2.</entry><entry>TiO₂</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry></row><row><entry>3.</entry><entry>ZrO₂</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry></row><row><entry>4.</entry><entry>al₂O₃</entry><entry>5,98</entry><entry>5,97</entry><entry>5,96</entry><entry>5,96</entry><entry>5,97</entry><entry>5,98</entry><entry>5,964</entry><entry>5,948</entry><entry>5,919</entry></row><row><entry>5.</entry><entry>ZnO</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry></row><row><entry>6.</entry><entry>MgO</entry><entry>5,23</entry><entry>4,79</entry><entry>3,78</entry><entry>2,83</entry><entry>1,84</entry><entry>0,09</entry><entry>4,849</entry><entry>4,827</entry><entry>4,754</entry></row><row><entry>7.</entry><entry>CaO</entry><entry>0,07</entry><entry>0,45</entry><entry>1,45</entry><entry>2,46</entry><entry>3,47</entry><entry>5,12</entry><entry>0,492</entry><entry>0,48</entry><entry>0,475</entry></row><row><entry>8.</entry><entry>SrO</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry></row><row><entry>9.</entry><entry>BaO</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry></row><row><entry>10.</entry><entry>N / A₂O</entry><entry>11,38</entry><entry>11,33</entry><entry>11,37</entry><entry>11,38</entry><entry>11,4</entry><entry>11,34</entry><entry>11,486</entry><entry>11,408</entry><entry>11,294</entry></row><row><entry>11.</entry><entry>K₂O</entry><entry>0,1</entry><entry>0,1</entry><entry>0,1</entry><entry>0,1</entry><entry>0,1</entry><entry>0,1</entry><entry>0,101</entry><entry>0,1</entry><entry>0,1</entry></row><row><entry>12.</entry><entry>rest</entry><entry>0.25 (SnO₂)</entry><entry>0,26</entry><entry>0,24</entry><entry>0,25</entry><entry>0,25</entry><entry>0,25</entry><entry>0,25</entry><entry>0.449 (SnO₂B +₂O₃)</entry><entry>0,062</entry></row></tbody></tgroup></table></tables>

0124Conversion into constituent phases shows that none of the compositions AO, 2-6 belongs to the basic system according to the invention. The conversion into constituent phases further shows that the in<patcit id="pcit0029" dnum="US8753994B2"><text>US 8,753,994 B2</text></patcit> Example designated by 1 belongs to the basic system according to the invention, but does not fall within the composition range according to the invention, since the proportion of albite is too high.<tables id="tabl0016" num="0016"><table frame="all"><title><b>Table 16</b></title><tgroup cols="2"><colspec colnum="1" colname="col1" colwidth="38mm" /><colspec colnum="2" colname="col2" colwidth="14mm" /><thead><row><entry valign="top" /><entry valign="top"><b>1</b></entry></row><row><entry valign="top"><b>constituent phase</b></entry><entry valign="top"><b>mol%</b></entry></row></thead><tbody><row><entry>albite</entry><entry>67,74</entry></row><row><entry>silica</entry><entry>19,60</entry></row><row><entry>orthoclase</entry><entry>0,84</entry></row><row><entry>wollastonite</entry><entry>0,96</entry></row><row><entry>enstatite</entry><entry>8,92</entry></row><row><entry>Parakeldyshit</entry><entry>0,00</entry></row><row><entry>Narsarsukit</entry><entry>0,00</entry></row><row><entry>Dinatriumzinksilicat</entry><entry>0,00</entry></row><row><entry>cordierite</entry><entry>1,70</entry></row><row><entry>strontium</entry><entry>0,00</entry></row><row><entry>barium</entry><entry>0,00</entry></row></tbody></tgroup></table></tables>

0125The calculated properties are:<tables id="tabl0017" num="0017"><table frame="all"><title><b>Table 17</b></title><tgroup cols="5"><colspec colnum="1" colname="col1" colwidth="13mm" /><colspec colnum="2" colname="col2" colwidth="66mm" /><colspec colnum="3" colname="col3" colwidth="50mm" /><colspec colnum="4" colname="col4" colwidth="27mm" /><colspec colnum="5" colname="col5" colwidth="10mm" /><thead><row><entry valign="top">Ser. No.</entry><entry valign="top">ISO 695: calculated removal rate / mg / (dm²3h)</entry><entry valign="top">Key figure for acid resistance:</entry><entry valign="top">Calculated CTE</entry><entry valign="top">pH</entry></row></thead><tbody><row><entry>1</entry><entry>82,84</entry><entry>200,32</entry><entry>5,81</entry><entry>8,92</entry></row></tbody></tgroup></table></tables>

Comparative Examples 56-95

0126The comparative examples 56-95 are the examples of FIGS <patcit id="pcit0030" dnum="EP2876092A1"><text>EP 2 876 092 A1</text></patcit>, Examples 1-30, 32, 35-40 contain ≥1% B₂O₃ and are not according to the invention. The other examples have the composition:<tables id="tabl0018" num="0018"><table frame="all"><title><b>Table 18</b></title><tgroup cols="5"><colspec colnum="1" colname="col1" colwidth="10mm" /><colspec colnum="2" colname="col2" colwidth="14mm" /><colspec colnum="3" colname="col3" colwidth="14mm" /><colspec colnum="4" colname="col4" colwidth="12mm" /><colspec colnum="5" colname="col5" colwidth="12mm" /><thead><row><entry valign="top" /><entry valign="top" /><entry valign="top"><b>31</b></entry><entry valign="top"><b>33</b></entry><entry valign="top"><b>34</b></entry></row><row><entry valign="top"><b>#</b></entry><entry valign="top"><b>oxide</b></entry><entry valign="top"><b>mol%</b></entry><entry valign="top" /><entry valign="top" /></row></thead><tbody><row><entry>1.</entry><entry>SiO₂</entry><entry>73,6</entry><entry>74,7</entry><entry>68,2</entry></row><row><entry>2.</entry><entry>TiO₂</entry><entry>0</entry><entry>0</entry><entry>0</entry></row><row><entry>3.</entry><entry>ZrO₂</entry><entry>0</entry><entry>0</entry><entry>0</entry></row><row><entry>4.</entry><entry>al₂O₃</entry><entry>6,8</entry><entry>6,8</entry><entry>10,9</entry></row><row><entry>5.</entry><entry>ZnO</entry><entry>0</entry><entry>0</entry><entry>0</entry></row><row><entry>6.</entry><entry>MgO</entry><entry>4,9</entry><entry>4,9</entry><entry>0</entry></row><row><entry>7.</entry><entry>CaO</entry><entry>0</entry><entry>0</entry><entry>1,2</entry></row><row><entry>8.</entry><entry>SrO</entry><entry>0</entry><entry>0</entry><entry>0</entry></row><row><entry>9.</entry><entry>BaO</entry><entry>0</entry><entry>0</entry><entry>0</entry></row><row><entry>10.</entry><entry>N / A₂O</entry><entry>12,8</entry><entry>12,2</entry><entry>12,8</entry></row><row><entry>11.</entry><entry>K₂O</entry><entry>0,7</entry><entry>0,7</entry><entry>2</entry></row><row><entry>12.</entry><entry>rest</entry><entry>1,2</entry><entry>0,7</entry><entry>4,9</entry></row></tbody></tgroup></table></tables>

0127The conversion into constituent phases shows that none of the compositions 31, 33 belongs to the basic system according to the invention. The composition 34 is stated only to 95.1%; the remaining 4.9% are not specified.

Comparative Examples 96-137

0128The comparative examples 96-137 are the examples of FIGS <patcit id="pcit0031" dnum="WO2014196655A1"><text>WO 2014/196655 A1</text></patcit>, Examples 1-34, 38-42 contain ≥1% Li₂O and are not according to the invention. Example 35 contains ≥1% B₂O₃ and is not according to the invention. The other examples have the composition:<tables id="tabl0019" num="0019"><table frame="all"><title><b>Table 19</b></title><tgroup cols="4"><colspec colnum="1" colname="col1" colwidth="10mm" /><colspec colnum="2" colname="col2" colwidth="14mm" /><colspec colnum="3" colname="col3" colwidth="14mm" /><colspec colnum="4" colname="col4" colwidth="12mm" /><thead><row><entry valign="top" /><entry valign="top" /><entry valign="top"><b>36</b></entry><entry valign="top"><b>37</b></entry></row><row><entry valign="top"><b>#</b></entry><entry valign="top"><b>oxide</b></entry><entry valign="top"><b>mol%</b></entry><entry valign="top" /></row></thead><tbody><row><entry>1.</entry><entry>SiO₂</entry><entry>76,3</entry><entry>77,9</entry></row><row><entry>2.</entry><entry>TiO₂</entry><entry>0</entry><entry>0</entry></row><row><entry>3.</entry><entry>ZrO₂</entry><entry>0</entry><entry>0</entry></row><row><entry>4.</entry><entry>al₂O₃</entry><entry>6</entry><entry>6,1</entry></row><row><entry>5.</entry><entry>ZnO</entry><entry>0</entry><entry>0</entry></row><row><entry>6.</entry><entry>MgO</entry><entry>5</entry><entry>5,1</entry></row><row><entry>7.</entry><entry>CaO</entry><entry>0,6</entry><entry>0,6</entry></row><row><entry>8.</entry><entry>SrO</entry><entry>0</entry><entry>0</entry></row><row><entry>9.</entry><entry>BaO</entry><entry>0</entry><entry>0</entry></row><row><entry>10.</entry><entry>N / A₂O</entry><entry>11,8</entry><entry>6,1</entry></row><row><entry>11.</entry><entry>K₂O</entry><entry>0,1</entry><entry>4</entry></row><row><entry>12.</entry><entry>rest</entry><entry>0,2</entry><entry>0,2</entry></row></tbody></tgroup></table></tables>

0129The conversion into constituent phases shows that none of the compositions 36, 37 belongs to the basic system according to the invention.

Comparative Examples 138-141

0130Comparative examples 138-141 are the exemplary embodiments of FIG <patcit id="pcit0032" dnum="DE102013114225A1"><text>DE 10 2013 114 225 A1</text></patcit>, A2 - A3 contain ≥1% F and are not according to the invention. The other examples have the composition:<tables id="tabl0020" num="0020"><table frame="all"><title><b>Table 20</b></title><tgroup cols="4"><colspec colnum="1" colname="col1" colwidth="10mm" /><colspec colnum="2" colname="col2" colwidth="14mm" /><colspec colnum="3" colname="col3" colwidth="14mm" /><colspec colnum="4" colname="col4" colwidth="27mm" /><thead><row><entry valign="top" /><entry valign="top" /><entry valign="top"><b>A1</b></entry><entry valign="top"><b>A4</b></entry></row><row><entry valign="top"><b>#</b></entry><entry valign="top"><b>oxide</b></entry><entry valign="top"><b>mol%</b></entry><entry valign="top" /></row></thead><tbody><row><entry>1.</entry><entry>SiO₂</entry><entry>69,5</entry><entry>68,86</entry></row><row><entry>2.</entry><entry>TiO₂</entry><entry>0</entry><entry>0</entry></row><row><entry>3.</entry><entry>ZrO₂</entry><entry>0</entry><entry>0</entry></row><row><entry>4.</entry><entry>al₂O₃</entry><entry>10,5</entry><entry>12</entry></row><row><entry>5.</entry><entry>ZnO</entry><entry>0</entry><entry>0</entry></row><row><entry>6.</entry><entry>MgO</entry><entry>3</entry><entry>2,58</entry></row><row><entry>7.</entry><entry>CaO</entry><entry>0</entry><entry>0</entry></row><row><entry>8.</entry><entry>SrO</entry><entry>0</entry><entry>0</entry></row><row><entry>9.</entry><entry>BaO</entry><entry>0</entry><entry>0</entry></row><row><entry>10.</entry><entry>N / A₂O</entry><entry>15</entry><entry>14,6</entry></row><row><entry>11.</entry><entry>K₂O</entry><entry>2</entry><entry>1,05</entry></row><row><entry>12.</entry><entry>rest</entry><entry>0</entry><entry>0.912 (F, B₂O₃)</entry></row></tbody></tgroup></table></tables>

0131The conversion into constituent phases shows that none of the compositions A1, A4 belongs to the basic system according to the invention.

Comparative Examples 142-167

0132The comparative examples 142-167 are the examples of those shown there as glass B1-B5, V1-V4, G1-G17 <patcit id="pcit0033" dnum="DE102009051852A1"><text>DE 10 2009 051 852 A1</text></patcit>, B4 contains> 1% F and is not according to the invention. V1-V4, G1, G3, G6, G7, G9, G12, G14 contain no sodium and are not according to the invention. The other examples have the composition:<tables id="tabl0021" num="0021"><table frame="all"><title><b>Table 21</b></title><tgroup cols="16"><colspec colnum="1" colname="col1" colwidth="10mm" /><colspec colnum="2" colname="col2" colwidth="14mm" /><colspec colnum="3" colname="col3" colwidth="21mm" /><colspec colnum="4" colname="col4" colwidth="12mm" /><colspec colnum="5" colname="col5" colwidth="12mm" /><colspec colnum="6" colname="col6" colwidth="12mm" /><colspec colnum="7" colname="col7" colwidth="14mm" /><colspec colnum="8" colname="col8" colwidth="14mm" /><colspec colnum="9" colname="col9" colwidth="14mm" /><colspec colnum="10" colname="col10" colwidth="14mm" /><colspec colnum="11" colname="col11" colwidth="14mm" /><colspec colnum="12" colname="col12" colwidth="14mm" /><colspec colnum="13" colname="col13" colwidth="14mm" /><colspec colnum="14" colname="col14" colwidth="14mm" /><colspec colnum="15" colname="col15" colwidth="14mm" /><colspec colnum="16" colname="col16" colwidth="14mm" /><thead><row><entry valign="top" /><entry valign="top" /><entry valign="top"><b>B1</b></entry><entry valign="top"><b>B2</b></entry><entry valign="top"><b>B3</b></entry><entry valign="top"><b>B5</b></entry><entry valign="top"><b>G2</b></entry><entry valign="top"><b>G4</b></entry><entry valign="top"><b>G5</b></entry><entry valign="top"><b>G8</b></entry><entry valign="top"><b>G10</b></entry><entry valign="top"><b>G11</b></entry><entry valign="top"><b>G13</b></entry><entry valign="top"><b>G15</b></entry><entry valign="top"><b>G16</b></entry><entry valign="top"><b>G17</b></entry></row><row><entry valign="top"><b>#</b></entry><entry valign="top"><b>oxide</b></entry><entry valign="top"><b>mol%</b></entry><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /></row></thead><tbody><row><entry>1.</entry><entry>SiO₂</entry><entry>67,5</entry><entry>72,5</entry><entry>74,3</entry><entry>67,5</entry><entry>63,42</entry><entry>64,15</entry><entry>63,17</entry><entry>67,54</entry><entry>67,9</entry><entry>67,96</entry><entry>64,47</entry><entry>63,02</entry><entry>73,93</entry><entry>65,9</entry></row><row><entry>2.</entry><entry>TiO₂</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>3,22</entry><entry>0</entry><entry>0</entry><entry>1,51</entry><entry>0</entry><entry>1,52</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry></row><row><entry>3.</entry><entry>ZrO₂</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>2,11</entry><entry>2,08</entry><entry>0,98</entry><entry>1,97</entry><entry>0,98</entry><entry>3,56</entry><entry>4,66</entry><entry>0</entry><entry>0</entry></row><row><entry>4.</entry><entry>al₂O₃</entry><entry>8,7</entry><entry>9,9</entry><entry>7,4</entry><entry>8,7</entry><entry>11,99</entry><entry>12,13</entry><entry>11,95</entry><entry>10,88</entry><entry>10,94</entry><entry>10,95</entry><entry>10,45</entry><entry>10,56</entry><entry>3,03</entry><entry>11,71</entry></row><row><entry>5.</entry><entry>ZnO</entry><entry>0</entry><entry>0</entry><entry>3,1</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry></row><row><entry>6.</entry><entry>MgO</entry><entry>9,9</entry><entry>5</entry><entry>5</entry><entry>9,9</entry><entry>4,47</entry><entry>4,52</entry><entry>9,86</entry><entry>9,91</entry><entry>9,96</entry><entry>7,76</entry><entry>10,09</entry><entry>10,2</entry><entry>5,66</entry><entry>10,14</entry></row><row><entry>7.</entry><entry>CaO</entry><entry>9,9</entry><entry>5,2</entry><entry>5,1</entry><entry>9,9</entry><entry>13,77</entry><entry>13,93</entry><entry>9,83</entry><entry>6,11</entry><entry>6,14</entry><entry>7,74</entry><entry>6,22</entry><entry>6,29</entry><entry>5,83</entry><entry>6,16</entry></row><row><entry>8.</entry><entry>SrO</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry></row><row><entry>9.</entry><entry>BaO</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry></row><row><entry>10.</entry><entry>N / A₂O</entry><entry>4</entry><entry>7,3</entry><entry>5,1</entry><entry>4</entry><entry>3,12</entry><entry>3,15</entry><entry>3,1</entry><entry>3,07</entry><entry>3,09</entry><entry>3,09</entry><entry>5,21</entry><entry>5,27</entry><entry>6,97</entry><entry>6,08</entry></row><row><entry>11.</entry><entry>K₂O</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>4,58</entry><entry>0</entry></row><row><entry>12.</entry><entry>rest</entry><entry>0.6 (B₂O₃)</entry><entry>0,1</entry><entry>0</entry><entry>0</entry><entry>0,01</entry><entry>0,01</entry><entry>0,01</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0,01</entry></row></tbody></tgroup></table></tables>

0133The conversion into constituent phases shows that none of the compositions B3, G2, G4, G5, G11, G17 belongs to the basic system according to the invention. The conversion into constituent phases further shows that the in<patcit id="pcit0034" dnum="DE102009051852A1"><text>DE 10 2009 051 852 A1</text></patcit> Examples designated B1, B2, B5, G10, G13, G15, G17 belong to the basic system according to the invention, but do not fall within the composition range according to the invention since the proportion of wollastonite is too high.<tables id="tabl0022" num="0022"><table frame="all"><title><b>Table 22</b></title><tgroup cols="8"><colspec colnum="1" colname="col1" colwidth="38mm" /><colspec colnum="2" colname="col2" colwidth="14mm" /><colspec colnum="3" colname="col3" colwidth="14mm" /><colspec colnum="4" colname="col4" colwidth="14mm" /><colspec colnum="5" colname="col5" colwidth="14mm" /><colspec colnum="6" colname="col6" colwidth="14mm" /><colspec colnum="7" colname="col7" colwidth="14mm" /><colspec colnum="8" colname="col8" colwidth="14mm" /><thead><row><entry valign="top" /><entry valign="top"><b>B1</b></entry><entry valign="top"><b>B2</b></entry><entry valign="top"><b>B5</b></entry><entry valign="top"><b>G10</b></entry><entry valign="top"><b>G13</b></entry><entry valign="top"><b>G15</b></entry><entry valign="top"><b>G17</b></entry></row><row><entry valign="top"><b>constituent phase</b></entry><entry valign="top"><b>mol%</b></entry><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /></row></thead><tbody><row><entry>albite</entry><entry>32,00</entry><entry>58,40</entry><entry>32,00</entry><entry>8,96</entry><entry>13,20</entry><entry>4,88</entry><entry>48,64</entry></row><row><entry>silica</entry><entry>16,65</entry><entry>14,60</entry><entry>16,65</entry><entry>26,41</entry><entry>17,94</entry><entry>18,63</entry><entry>4,68</entry></row><row><entry>orthoclase</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry></row><row><entry>wollastonite</entry><entry>19,80</entry><entry>10,40</entry><entry>19,80</entry><entry>12,28</entry><entry>12,44</entry><entry>12,58</entry><entry>12,32</entry></row><row><entry>enstatite</entry><entry>10,40</entry><entry>4,80</entry><entry>10,40</entry><entry>0,28</entry><entry>2,58</entry><entry>0,50</entry><entry>9,02</entry></row><row><entry>Parakeldyshit</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>7,88</entry><entry>14,24</entry><entry>18,64</entry><entry>0,00</entry></row><row><entry>Narsarsukit</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry></row><row><entry>Dinatriumzinksilicat</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry></row><row><entry>cordierite</entry><entry>21,15</entry><entry>11,70</entry><entry>21,15</entry><entry>44,19</entry><entry>39,60</entry><entry>44,78</entry><entry>25,34</entry></row><row><entry>strontium</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry></row><row><entry>barium</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry></row></tbody></tgroup></table></tables>

0134The calculated properties are:<tables id="tabl0023" num="0023"><table frame="all"><title><b>Table 23</b></title><tgroup cols="5"><colspec colnum="1" colname="col1" colwidth="14mm" /><colspec colnum="2" colname="col2" colwidth="66mm" /><colspec colnum="3" colname="col3" colwidth="50mm" /><colspec colnum="4" colname="col4" colwidth="27mm" /><colspec colnum="5" colname="col5" colwidth="10mm" /><thead><row><entry valign="top">Ser. No.</entry><entry valign="top">ISO 695: calculated removal rate / mg / (dm²3h)</entry><entry valign="top">Key figure for acid resistance:</entry><entry valign="top">Calculated CTE</entry><entry valign="top">pH</entry></row></thead><tbody><row><entry>B1</entry><entry>87,60</entry><entry>199,67</entry><entry>5,82</entry><entry>9,19</entry></row><row><entry>B2</entry><entry>87,28</entry><entry>202,56</entry><entry>5,98</entry><entry>9,04</entry></row><row><entry>B5</entry><entry>87,60</entry><entry>199,67</entry><entry>5,82</entry><entry>9,19</entry></row><row><entry>G10</entry><entry>92,71</entry><entry>207,45</entry><entry>4,93</entry><entry>9,06</entry></row><row><entry>G13</entry><entry>99,91</entry><entry>209,09</entry><entry>5,77</entry><entry>9,11</entry></row><row><entry>G15</entry><entry>103,70</entry><entry>211,06</entry><entry>5,77</entry><entry>9,11</entry></row><row><entry>G17</entry><entry>94,12</entry><entry>206,52</entry><entry>6,46</entry><entry>9,11</entry></row></tbody></tgroup></table></tables>

Comparative Examples 168-183

0135The comparative examples 168-183 are the examples of the <patcit id="pcit0035" dnum="DE102015116097A1"><text>DE 10 2015 116 097 A1</text></patcit>, The examples given have the following composition:<tables id="tabl0024" num="0024"><table frame="all"><title><b>Table 24</b></title><tgroup cols="18"><colspec colnum="1" colname="col1" colwidth="9mm" /><colspec colnum="2" colname="col2" colwidth="12mm" /><colspec colnum="3" colname="col3" colwidth="12mm" /><colspec colnum="4" colname="col4" colwidth="10mm" /><colspec colnum="5" colname="col5" colwidth="10mm" /><colspec colnum="6" colname="col6" colwidth="10mm" /><colspec colnum="7" colname="col7" colwidth="10mm" /><colspec colnum="8" colname="col8" colwidth="9mm" /><colspec colnum="9" colname="col9" colwidth="10mm" /><colspec colnum="10" colname="col10" colwidth="8mm" /><colspec colnum="11" colname="col11" colwidth="8mm" /><colspec colnum="12" colname="col12" colwidth="8mm" /><colspec colnum="13" colname="col13" colwidth="10mm" /><colspec colnum="14" colname="col14" colwidth="10mm" /><colspec colnum="15" colname="col15" colwidth="8mm" /><colspec colnum="16" colname="col16" colwidth="8mm" /><colspec colnum="17" colname="col17" colwidth="10mm" /><colspec colnum="18" colname="col18" colwidth="10mm" /><thead><row><entry valign="top" /><entry valign="top" /><entry valign="top"><b>1</b></entry><entry valign="top"><b>2</b></entry><entry valign="top"><b>3</b></entry><entry valign="top"><b>4</b></entry><entry valign="top"><b>5</b></entry><entry valign="top"><b>6</b></entry><entry valign="top"><b>7</b></entry><entry valign="top"><b>8</b></entry><entry valign="top"><b>V1</b></entry><entry valign="top"><b>V2</b></entry><entry valign="top"><b>V3</b></entry><entry valign="top"><b>V4</b></entry><entry valign="top"><b>V5</b></entry><entry valign="top"><b>V6</b></entry><entry valign="top"><b>V7</b></entry><entry valign="top"><b>V8</b></entry></row><row><entry valign="top"><b>#</b></entry><entry valign="top"><b>oxide</b></entry><entry valign="top"><b>mol%</b></entry><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /></row></thead><tbody><row><entry>1.</entry><entry>SiO₂</entry><entry>65,9</entry><entry>70,2</entry><entry>68,8</entry><entry>72,5</entry><entry>68,2</entry><entry>68</entry><entry>68,2</entry><entry>64</entry><entry>71</entry><entry>76</entry><entry>60,9</entry><entry>75,6</entry><entry>70</entry><entry>71</entry><entry>74,1</entry><entry>67,5</entry></row><row><entry>2.</entry><entry>TiO₂</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>1,5</entry><entry>3,1</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry></row><row><entry>3.</entry><entry>ZrO₂</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>1,1</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry><b>1</b></entry><entry>1</entry><entry>3,7</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry></row><row><entry>4.</entry><entry>al₂O₃</entry><entry>11,7</entry><entry>10,4</entry><entry>11,3</entry><entry>9,1</entry><entry>11,8</entry><entry>12</entry><entry>11,8</entry><entry>12</entry><entry>11</entry><entry>7</entry><entry>16,5</entry><entry>6</entry><entry>6</entry><entry>5</entry><entry>10,5</entry><entry>8,7</entry></row><row><entry>5.</entry><entry>ZnO</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry></row><row><entry>6.</entry><entry>MgO</entry><entry>10,1</entry><entry>8</entry><entry>7</entry><entry>7</entry><entry>3,2</entry><entry>0</entry><entry>1,2</entry><entry>12</entry><entry>5</entry><entry>4</entry><entry>2,1</entry><entry>6,8</entry><entry>8</entry><entry>10</entry><entry>7,8</entry><entry>9,9</entry></row><row><entry>7.</entry><entry>CaO</entry><entry>6,2</entry><entry>2</entry><entry>3</entry><entry>3</entry><entry>5,2</entry><entry>5</entry><entry>5,2</entry><entry>8</entry><entry>1</entry><entry>1</entry><entry>1,7</entry><entry>0,4</entry><entry>8</entry><entry>10</entry><entry>5,6</entry><entry>9,9</entry></row><row><entry>8.</entry><entry>SrO</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry></row><row><entry>9.</entry><entry>BaO</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry></row><row><entry>10.</entry><entry>N / A₂O</entry><entry>6,1</entry><entry>9</entry><entry>10</entry><entry>8,5</entry><entry>10,5</entry><entry>12</entry><entry>10,5</entry><entry>4</entry><entry>10</entry><entry>10</entry><entry>12,2</entry><entry>11,2</entry><entry>8</entry><entry>4</entry><entry>2</entry><entry>4</entry></row><row><entry>11.</entry><entry>K₂O</entry><entry>0</entry><entry>0,5</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0,5</entry><entry>0</entry><entry>0</entry><entry>1</entry><entry>1</entry><entry>2,9</entry><entry>0,1</entry><entry>0</entry><entry>0</entry><entry>0</entry><entry>0</entry></row><row><entry>12.</entry><entry>rest</entry><entry /><entry /><entry /><entry /><entry /><entry /><entry /><entry /><entry /><entry /><entry /><entry /><entry /><entry /><entry /><entry /></row></tbody></tgroup></table></tables>

0136The conversion into constituent phases shows that none of the compositions 3, 5 - 7, V2 - V5, V7 belongs to the basic system according to the invention. The conversion into constituent phases further shows that the in<patcit id="pcit0036" dnum="DE102015116097A1"><text>DE 10 2015 116 097 A1</text></patcit> Examples designated B1, 2, 4, 8, V1, V6, V8 belong to the basic system according to the invention, but do not fall within the composition range according to the invention, since the proportion of albite or wollastonite is too high.<tables id="tabl0025" num="0025"><table frame="all"><title><b>Table 25</b></title><tgroup cols="8"><colspec colnum="1" colname="col1" colwidth="38mm" /><colspec colnum="2" colname="col2" colwidth="14mm" /><colspec colnum="3" colname="col3" colwidth="14mm" /><colspec colnum="4" colname="col4" colwidth="14mm" /><colspec colnum="5" colname="col5" colwidth="14mm" /><colspec colnum="6" colname="col6" colwidth="14mm" /><colspec colnum="7" colname="col7" colwidth="14mm" /><colspec colnum="8" colname="col8" colwidth="14mm" /><thead><row><entry valign="top" /><entry valign="top"><b>1</b></entry><entry valign="top"><b>2</b></entry><entry valign="top"><b>4</b></entry><entry valign="top"><b>8</b></entry><entry valign="top"><b>V1</b></entry><entry valign="top"><b>V6</b></entry><entry valign="top"><b>V8</b></entry></row><row><entry valign="top"><b>constituent phase</b></entry><entry valign="top"><b>mol%</b></entry><entry /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /></row></thead><tbody><row><entry>albite</entry><entry>48,80</entry><entry>72,00</entry><entry>68,00</entry><entry>32,00</entry><entry>72,00</entry><entry>32,00</entry><entry>32,00</entry></row><row><entry>silica</entry><entry>4,60</entry><entry>1,85</entry><entry>10,60</entry><entry>8,00</entry><entry>1,50</entry><entry>25,50</entry><entry>16,65</entry></row><row><entry>orthoclase</entry><entry>0,00</entry><entry>4,00</entry><entry>0,00</entry><entry>0,00</entry><entry>8,00</entry><entry>0,00</entry><entry>0,00</entry></row><row><entry>wollastonite</entry><entry>12,40</entry><entry>4,00</entry><entry>6,00</entry><entry>16,00</entry><entry>2,00</entry><entry>20,00</entry><entry>19,80</entry></row><row><entry>enstatite</entry><entry>9,00</entry><entry>14,20</entry><entry>12,80</entry><entry>8,00</entry><entry>8,00</entry><entry>18,00</entry><entry>10,40</entry></row><row><entry>Parakeldyshit</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>4,00</entry><entry>0,00</entry><entry>0,00</entry></row><row><entry>Narsarsukit</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry></row><row><entry>Dinatriumzinksilicat</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry></row><row><entry>cordierite</entry><entry>25,20</entry><entry>4,05</entry><entry>2,70</entry><entry>36,00</entry><entry>4,50</entry><entry>4,50</entry><entry>21,15</entry></row><row><entry>strontium</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry></row><row><entry>barium</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry></row></tbody></tgroup></table></tables>

0137The calculated properties are:<tables id="tabl0026" num="0026"><table frame="all"><title><b>Table 26</b></title><tgroup cols="5"><colspec colnum="1" colname="col1" colwidth="13mm" /><colspec colnum="2" colname="col2" colwidth="66mm" /><colspec colnum="3" colname="col3" colwidth="50mm" /><colspec colnum="4" colname="col4" colwidth="27mm" /><colspec colnum="5" colname="col5" colwidth="10mm" /><thead><row><entry valign="top">Ser. No.</entry><entry valign="top">ISO 695: calculated removal rate / mg / (dm²3h)</entry><entry valign="top">Key figure for acid resistance:</entry><entry valign="top">Calculated CTE</entry><entry valign="top">pH</entry></row></thead><tbody><row><entry>1</entry><entry>94,14</entry><entry>206,50</entry><entry>6,47</entry><entry>9,17</entry></row><row><entry>2</entry><entry>91,86</entry><entry>203,74</entry><entry>7,00</entry><entry>9,09</entry></row><row><entry>4</entry><entry>86,67</entry><entry>200,72</entry><entry>6,45</entry><entry>9,06</entry></row><row><entry>8</entry><entry>94,76</entry><entry>207,01</entry><entry>6,09</entry><entry>9,20</entry></row><row><entry>V1</entry><entry>96,19</entry><entry>206,84</entry><entry>7,05</entry><entry>9,01</entry></row><row><entry>V6</entry><entry>79,63</entry><entry>191,30</entry><entry>5,61</entry><entry>9,19</entry></row><row><entry>V8</entry><entry>87,60</entry><entry>199,67</entry><entry>5,82</entry><entry>9,19</entry></row></tbody></tgroup></table></tables>

Embodiments of the invention

0138<tables id="tabl0027" num="0027"><table frame="all"><title><b>Table 27</b></title><tgroup cols="10"><colspec colnum="1" colname="col1" colwidth="38mm" /><colspec colnum="2" colname="col2" colwidth="14mm" /><colspec colnum="3" colname="col3" colwidth="14mm" /><colspec colnum="4" colname="col4" colwidth="14mm" /><colspec colnum="5" colname="col5" colwidth="14mm" /><colspec colnum="6" colname="col6" colwidth="14mm" /><colspec colnum="7" colname="col7" colwidth="14mm" /><colspec colnum="8" colname="col8" colwidth="14mm" /><colspec colnum="9" colname="col9" colwidth="14mm" /><colspec colnum="10" colname="col10" colwidth="14mm" /><thead><row><entry valign="top" /><entry valign="top"><b>A1</b></entry><entry valign="top"><b>A2</b></entry><entry valign="top"><b>A3</b></entry><entry valign="top"><b>A4</b></entry><entry valign="top"><b>A5</b></entry><entry valign="top"><b>A6</b></entry><entry valign="top"><b>A7</b></entry><entry valign="top"><b>A8</b></entry><entry valign="top"><b>A9</b></entry></row><row><entry valign="top"><b>constituent phase</b></entry><entry valign="top"><b>mol%</b></entry><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /><entry valign="top" /></row></thead><tbody><row><entry>albite</entry><entry>56,00</entry><entry>56,00</entry><entry>48,00</entry><entry>48,00</entry><entry>48,00</entry><entry>40,00</entry><entry>40,00</entry><entry>56,00</entry><entry>40,00</entry></row><row><entry>silica</entry><entry>20,00</entry><entry>16,50</entry><entry>15,50</entry><entry>20,00</entry><entry>20,50</entry><entry>24,00</entry><entry>28,00</entry><entry>17,50</entry><entry>29,50</entry></row><row><entry>orthoclase</entry><entry>0,00</entry><entry>0,00</entry><entry>4,00</entry><entry>4,00</entry><entry>4,00</entry><entry>4,00</entry><entry>4,00</entry><entry>4,00</entry><entry>4,00</entry></row><row><entry>wollastonite</entry><entry>4,00</entry><entry>3,00</entry><entry>3,00</entry><entry>3,00</entry><entry>3,00</entry><entry>3,00</entry><entry>0,00</entry><entry>2,00</entry><entry>2,00</entry></row><row><entry>enstatite</entry><entry>4,00</entry><entry>4,00</entry><entry>4,00</entry><entry>4,00</entry><entry>4,00</entry><entry>4,00</entry><entry>4,00</entry><entry>4,00</entry><entry>8,00</entry></row><row><entry>Parakeldyshit</entry><entry>4,00</entry><entry>4,00</entry><entry>4,00</entry><entry>4,00</entry><entry>4,00</entry><entry>4,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry></row><row><entry>Narsarsukit</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry></row><row><entry>Dinatriumzinksilicat</entry><entry>10,00</entry><entry>10,00</entry><entry>15,00</entry><entry>15,00</entry><entry>10,00</entry><entry>10,00</entry><entry>15,00</entry><entry>10,00</entry><entry>10,00</entry></row><row><entry>cordierite</entry><entry>0,00</entry><entry>4,50</entry><entry>4,50</entry><entry>0,00</entry><entry>4,50</entry><entry>9,00</entry><entry>9,00</entry><entry>4,50</entry><entry>4,50</entry></row><row><entry>strontium</entry><entry>2,00</entry><entry>2,00</entry><entry>2,00</entry><entry>2,00</entry><entry>2,00</entry><entry>2,00</entry><entry>0,00</entry><entry>2,00</entry><entry>2,00</entry></row><row><entry>barium</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry><entry>0,00</entry></row></tbody></tgroup></table></tables>

0139The calculated properties are:<tables id="tabl0028" num="0028"><table frame="all"><title><b>Table 28</b></title><tgroup cols="5"><colspec colnum="1" colname="col1" colwidth="15mm" /><colspec colnum="2" colname="col2" colwidth="57mm" /><colspec colnum="3" colname="col3" colwidth="48mm" /><colspec colnum="4" colname="col4" colwidth="35mm" /><colspec colnum="5" colname="col5" colwidth="12mm" /><thead><row><entry valign="top">Ser. No.</entry><entry valign="top">ISO 695: calculated removal rate / (mg / (dm²3h))</entry><entry valign="top">Key figure for acid resistance:</entry><entry valign="top">Calculated CTE / (ppm / K)</entry><entry valign="top">pH</entry></row></thead><tbody><row><entry>A1</entry><entry>87,26</entry><entry>197,32</entry><entry>6,60</entry><entry>8,98</entry></row><row><entry>A2</entry><entry>89,80</entry><entry>199,55</entry><entry>6,74</entry><entry>9,00</entry></row><row><entry>A3</entry><entry>92,18</entry><entry>198,27</entry><entry>7,16</entry><entry>9,04</entry></row><row><entry>A4</entry><entry>89,06</entry><entry>196,01</entry><entry>6,94</entry><entry>9,01</entry></row><row><entry>A5</entry><entry>88,79</entry><entry>198,38</entry><entry>6,49</entry><entry>8,99</entry></row><row><entry>A6</entry><entry>87,89</entry><entry>198,24</entry><entry>6,19</entry><entry>8,99</entry></row><row><entry>A7</entry><entry>83,77</entry><entry>196,26</entry><entry>6,08</entry><entry>8,94</entry></row><row><entry>A8</entry><entry>87,98</entry><entry>199,05</entry><entry>6,54</entry><entry>8,98</entry></row><row><entry>A9</entry><entry>81,75</entry><entry>194,27</entry><entry>5,82</entry><entry>8,98</entry></row></tbody></tgroup></table></tables>

0140Compared to the prior art, the glasses of the present invention are particularly distinguished in terms of their chemical resistance in that they have both very good alkali and acid resistance and very good hydrolytic resistance.