A. I. Priven Glass Property Models

Publications by A. I. Priven concerning glass property models including his structural model

All details of A. I. Priven’s structural model are published in his Doctoral Thesis, St. Petersburg, 2002 (in Russian). Model calculations can be performed using the SciGlass database.

The model is valid for almost all known types of oxide glasses: silicate, germanate, borate, aluminate, phosphate, vanadate, molybdate, niobate, arsenite, tellurite, tungstate etc., including mixed systems. In total 64 oxides are involved in the calculations: Li2O, Na2O, K2O, Rb2O, Cs2O, Cu2O, Ag2O, Tl2O, BeO, MgO, CaO, SrO, BaO, MnO, CoO, NiO, SnO, ZnO, CdO, PbO, FeO, CuO, B2O3, Al2O3, Ga2O3, Fe2O3, Cr2O3, Ti2O3, In2O3, La2O3, Y2O3, Sc2O3, Gd2O3, Sm2O3, Nd2O3, Pr2O3, Tb2O3, Dy2O3, Er2O3, Yb2O3, As2O3, Sb2O3, Bi2O3, SiO2, GeO2, ThO2, VO2, HfO2, SeO2, TeO2, VO2, PbO2, TiO2, SnO2, ZrO2, CeO2, MnO2, P2O5, V2O5, Nb2O5, Ta2O5, MoO3, WO3, and SO3.

The prediction accuracy of A. I. Priven’s models is summarized in the Table below. The models of Priven are based on different principles from the ones described on other pages of this website. For more information the recent publication in Glass Technology (2004, p 244, see below) is recommended.

Models after A. I. Priven: Standard deviation of residuals (difference between experimental data from SciGlass and calculated property values), Reference: Glass Technology 2004, p 244 (see below)

Property and unit	T in ^oC	Number of compo- sitions compared	St. dev. of residuals
Density of glasses, g/cm³	20	28284	0.13
Density of melts, g/cm³	800 1000 1200 1400	407 638 555 422	0.14 0.13 0.22 0.13
Density of melts, g/cm³	Total*	2022	0.16
Viscosity characteristics, ^oC	T₃ (10³ P) T_7.6 (10^7.6P) T₁₃ (10¹³P)	2433 3384 1672	60 45 32
T_g, ^oC **	-	16679	43
Coefficient of thermal expansion (CTE) of glasses, ppm/K	55 +/- 5 160 +/- 10 210 +/- 10 350 +/- 10	1471 5743 4078 1299	0.96 0.82 0.85 1.01
Coefficient of thermal expansion (CTE) of glasses, ppm/K	Total*	14221	0.92
Surface tension of melts, mN/m	900 1200 1400	615 1055 351	28 23 39
Surface tension of melts, mN/m	Total*	2767	26
Heat capacity of glasses and melts, J/(kg * ^oC)	20 1000 1200	310 151 121	103 168 111
Heat capacity of glasses and melts, J/(kg * ^oC)	Total*	1438	114
DС_р, J/(g-atom * ^oC)	T_g	136	2.3
Refractive index (n_D)	20	23104	0.017
Mean dispersion (n_F‑n_C)/10⁴	20	7314	18
Anne’s number	20	7162	2.4
Young’s modulus, GPa	20	3108	6.8
Shear modulus, GPa	20	1892	2.4
Poisson’s ratio	20	1689	0.04
* Including other temperatures not indicated in the table ** Calculated as T_13.3

A. I. Priven: "A new equation describing the temperature dependence of the electrical resistivity of alkali containing silicate melts"; Glass Technology, vol. 46, June 2005, no. 3, p 263-270

A. I. Priven: "General Method for Calculating the Properties of Oxide Glasses and Glass-Forming Melts from their Composition and Temperature"; Glass Technology, vol. 45, Dec 2004, no. 6, p 244-254

A. I. Priven: "Calculation of the Viscosity of Glass-forming Melts I: The Li2O-Na2O-K2O-SiO2 System"; Glass Physics and Chemistry, vol. 23, no. 5, 1997, p 344-353

A. I. Priven: "Calculation of the Viscosity of Glass-forming Melts: II. The MgO-CaO-SrO-BaO-Al2O3-SiO2 System"; Glass Physics and Chemistry, vol. 23, no. 6, 1997, p 416-428

A. I. Priven: "Calculation of the Viscosity of Glass-forming Melts: III. The Alk2O-RO-Al2O3-SiO2 System"; Glass Physics and Chemistry, vol. 24, no. 1, 1998, p 19-30

A. I. Priven: "Calculation of the Viscosity of Glass-forming Melts: IV. A Unified Method for Calculating the Viscosity of Silicate and Aluminate Melts"; Glass Physics and Chemistry, vol. 24, no. 1, 1998, p 31-40

A. I. Priven: "Calculation of the Viscosity of Glass-Forming Melts: V. Binary Borate Systems"; Glass Physics and Chemistry, vol. 26, no. 6, 2000, p 541-558

A. I. Priven: "Calculation of the Viscosity of Glass-Forming Melts: VI. The R2O-B2O3-SiO2 and RO-B2O3-SiO2 Ternary Borosilicate Systems"; Glass Physics and Chemistry, vol. 27, no. 4, 2001, p 360-370

A. I. Priven: "Calculation of the Temperature Coefficient of Viscosity Logarithm dlogh/dlogT for Oxide Melts in the Glass Transition Range from Their Composition"; Glass Physics and Chemistry, vol. 26, no. 5, 2000, p 455-469

A. I. Priven: "Comparative Characterization of Methods for Calculating the Viscosity of Silicate Glass-forming Melts"; Glass Physics and Chemistry, vol. 23, no. 5, 1997, p 333-343

A. I. Priven: "Calculation of the Properties of Oxide Glasses and Melts from Composition: Problems and Prospects"; Glass Physics and Chemistry, vol. 24, no. 2, 1998, p 67-72

A. I. Priven: "A New Equation for Describing the Temperature Dependence of the Viscosity of Glass-forming Melts"; Glass Physics and Chemistry, vol. 25, no. 6, 1999, p 491-497

A. I. Priven: "Evaluation of the Fraction of Fourfold-Coordinated Boron in Oxide Glasses from Their Composition"; Glass Physics and Chemistry, vol. 26, no. 5, 2000, p 441-454

A. I. Priven: "Calculation of the Heat Capacity of Oxide Glass-Forming Melts and Evaluation of the Heat Capacity Jump in the Glass Transition Range from Chemical Composition"; Glass Physics and Chemistry, vol. 27, no. 5, 2001, p 435-444

A. I. Priven: "Calculation of Temperature Dependences of the Viscosity and Volume Relaxation Time for Oxide Glass-Forming Melts from Chemical Composition and Dilatometric Glass"; Glass Physics and Chemistry, vol. 27, no. 6, 2001, p 527-542

A. I. Priven: "Calculation of the Structural Linear Expansion Coefficient from the Chemical Composition of Glasses in the R2O(RO)-Al2O3-B2O3 (R = Li, Na, Ca, and Ba) System"; Glass Physics and Chemistry, vol. 29, no. 1, 2003, p 60-68

Yu. K. Startsev and A. I. Priven: "Calculation of Properties and Stresses in Glass Layers Modified by Ion Exchange: II. Relaxation of Properties of Thin Layers of Glass After Rapid Changes in Its Composition"; Fizika i Khimiya Stekla, vol. 22, no. 2, 1996, p 137-145

S. A. Khalimovskaya-Churkina and A. I. Priven: "Calculation of the Heat Capacity of Oxide Glasses at Temperatures from 100 K to the Lower Boundary of Glass Transition Range"; Glass Physics and Chemistry, vol. 26, no. 6, 2000, p 531-540