Table 1 Effective ionic charge and Buckingham potential parameters used for MD simulations27,35,36,37,38,39,40,41,42,43,44.

From: Predicting densities and elastic moduli of SiO2-based glasses by machine learning

Element

Effective ionic charge

Buckingham potential parameters

 

qi (e)

Ai,o (eV)

Bi,o (Å)

Ci,o (eV Å6)

\({\it{B}}_{{\it{i}},{\it{O}}}^\prime\)

O37,38

−1.2

2029.22

0.343645

192.58

66.7013

Si37,38

+2.4

13702.91

0.193817

54.681

105.6045

Li39

+0.6

41051.94

0.15116

0

25.5680

Na37,38

+0.6

4383.756

0.243838

30.7

34.0818

K39

+0.6

20526.97

0.233708

51.489

17.8292

Ca27

+1.2

7747.183

0.252623

93.109

49.3250

Sr27

+1.2

14566.64

0.245015

81.773

26.8815

Al40

+1.8

12201.42

0.195628

31.997

50.0620

Y41

+1.8

29526.98

0.211377

50.477

20.9356

La40

+1.8

4369.39

0.2786

60.28

30.2441

Er42

+1.8

58934.85

0.195478

47.651

17.1005

Eu43

+1.8

5950.529

0.253669

27.818

19.5874

Ce44

+1.8

11476.95

0.242032

46.7604

21.8666

B47

+1.8

12362.78a

0.171271

28.500

164.7216a

Zr36

+2.4

17943.38

0.226627

127.65

58.3358

  1. Here, Ai,o, Bi,o, and Ci,o are the short-range interaction parameters between an ion element i and oxygen anion. The short-range interactions between the cation elements are ignored in the present set of MD potentials. The values of \(B_{i,O}^\prime\), calculated based on Eq. 3, is also listed for each element.
  2. aAi,o and \(B_{i,O}^\prime\) values for the boron ions are calculated for the glass composition of 30% B2O3 + 70% SiO2.