Molar volume minimum and adaptative rigid networks in relationship with the intermediate phase in glasses

Physical Review B - Condensed Matter and Materials Physics

Volumn 79, Issue 2, 2009, Pages

  Bourgel, C ^a,b   Micoulaut, M ^c   Malki, M ^a,b   Simon, P ^a,b  

^a CNRS   (France)

^b UNIVERSITÉ D'ORLÉANS   (France)

^c UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 59749105626     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.79.024201     Document Type: Article

References (54)

1. P. L. Higby and I. D. Aggarwal, J. Non-Cryst. Solids 163, 303 (1993). 10.1016/0022-3093(93)91308-P
2. G. S. Henderson and M. E. Fleet, J. Non-Cryst. Solids 134, 259 (1991). 10.1016/0022-3093(91)90384-I
3. P. Richet and B. O. Mysen, Silicate Glasses and Melts: Properties and Structure (Elsevier, Amsterdam, 2005).
4. J. C. Phillips, J. Non-Cryst. Solids 34, 153 (1979). 10.1016/0022- 3093(79)90033-4
5. M. F. Thorpe, J. Non-Cryst. Solids 57, 355 (1983). 10.1016/0022-3093(83) 90424-6
6. A. N. Sreeram, A. K. Varshneya, and D. R. Swiler, J. Non-Cryst. Solids 128, 294 (1991). 10.1016/0022-3093(91)90467-K
7. J. C. Phillips, arXiv:cond-mat/0606418 (unpublished).
8. S. Chakravarty, D. G. Georgiev, P. Boolchand, and M. Micoulaut, J. Phys.: Condens. Matter 17, L1 (2005) 10.1088/0953-8984/17/1/L01
9. P. Boolchand, D. G. Georgiev, B. Goodman, and J. Optoelectr, J. Optoelectron. Adv. Mater. 3, 703 (2001).
10. F. Wang, S. Mamedov, P. Boolchand, B. Goodman, and M. Chandrasekhar, Phys. Rev. B 71, 174201 (2005). 10.1103/PhysRevB.71.174201
11. M. F. Thorpe, D. J. Jacobs, M. V. Chubynsky, and J. C. Phillips, J. Non-Cryst. Solids 266-269, 859 (2000). 10.1016/S0022-3093(99)00856-X
12. J. Barré, A. R. Bishop, T. Lookman, and A. Saxena, Phys. Rev. Lett. 94, 208701 (2005). 10.1103/PhysRevLett.94.208701
13. M. V. Chubynsky, M. A. Brière, and N. Mousseau, Phys. Rev. E 74, 016116 (2006). 10.1103/PhysRevE.74.016116
14. M. Micoulaut and J. C. Phillips, Phys. Rev. B 67, 104204 (2003). 10.1103/PhysRevB.67.104204
15. K. Trachenko, M. T. Dove, K. D. Hammonds, M. J. Harris, and V. Heine, Phys. Rev. Lett. 81, 3431 (1998). 10.1103/PhysRevLett.81.3431
16. K. Trachenko, M. T. Dove, V. Brazhkin, and F. S. El'kin, Phys. Rev. Lett. 93, 135502 (2004). 10.1103/PhysRevLett.93.135502
17. N. B. Bansal and R. H. Doremus, Handbook of Glass Properties (Academic, New York, 1960).
18. J. W. Tomlinson, M. S. R. Heines, and J. O. M. Bockris, Trans. Faraday Soc. 54, 1822 (1958). 10.1039/tf9585401822
19. M. Micoulaut, M. Malki, P. Simon, and A. Canizares, Philos. Mag. 85, 3357 (2005). 10.1080/14786430500157029
20. C. Bourgel, M. Malki, P. Simon (unpublished).
21. J. D. Frantza and B. O. Mysen, Chem. Geol. 121, 155 (1995). 10.1016/0009-2541(94)00127-T
22. D. I. Novita, P. Boolchand, M. Malki, and M. Micoulaut, Phys. Rev. Lett. 98, 195501 (2007). 10.1103/PhysRevLett.98.195501
23. P. Boolchand, M. Jin, D. Novita, and S. Chakravarthy, J. Raman Spectrosc. 38, 660 (2007). 10.1002/jrs.1707
24. R. Rompicharla, D. I. Novita, P. Chen, P. Boolchand, M. Micoulaut, and W. Huff, J. Phys.: Condens. Matter 20, 202101 (2008). 10.1088/0953-8984/20/20/ 202101
25. D. Selvanathan, W. J. Bresser, and P. Boolchand, Phys. Rev. B 61, 15061 (2000). 10.1103/PhysRevB.61.15061
26. P. Boolchand, X. Feng, and W. Bresser, J. Non-Cryst. Solids 293-295, 348 (2001). 10.1016/S0022-3093(01)00867-5
27. R. L. Mozzi and B. E. Warren, J. Appl. Crystallogr. 2, 164 (1969). 10.1107/S0021889869006868
28. G. N. Greaves and S. Sen, Adv. Phys. 56, 1 (2007). 10.1080/ 00018730601147426
29. H. Schlenz, A. Kirfel, K. Schulmeister, N. Wartner, W. Mader, W. Raberg, K. Wandelt, C. Oligschleger, S. Bender, R. Franke, J. Hormes, W. Hoffbauer, V. Lansmann, M. Jansen, N. Zotov, C. Marian, H. Putz, and J. Neuefeind, J. Non-Cryst. Solids 297, 37 (2002). 10.1016/S0022-3093(01)00922-X
30. For a general discussion on coordination numbers, number of neighbors, and constraint counting, see M. Micoulaut, Am. Mineral. 93, 1732 (2008). 10.2138/am.2008.2903
31. From (1-x) SiO2 -xBaO, one can split the chemical formula of the glass into BO and NBO contributions: Si1-x O 2-3x BO -Bax O 2x NBO. Having, respectively, seven, two, one, and one constraints for silicon, BO, NBO, and barium atoms, we obtain the corresponding mechanical constraints 7-7x, 4-6x, 2x, and x in the glass. Note that this constraint enumeration cannot be extrapolated down to x=0 because BO bending constraints are usually broken in SiO2. For a detailed discussion, see M. Zhang and P. Boolchand, Science 266, 1355 (1994). The present enumeration holds at least down to compositions such as x=0.14 as demonstrated from the observation of an IP in sodium and potassium silicates (Refs.). 10.1126/science.266.5189.1355
32. Y. Vaills, T. Qu, M. Micoulaut, F. Chaimbault, and P. Boolchand, J. Phys.: Condens. Matter 17, 4889 (2005). 10.1088/0953-8984/17/32/003
33. M. Malki, M. Micoulaut, F. Chaimbault, and Y. Vaills, Phys. Rev. Lett. 96, 145504 (2006). 10.1103/PhysRevLett.96.145504
34. Z. U. Borisova, Glassy Semiconductors (Plenum, New York, 1981).
35. G. G. Naumis, Phys. Rev. E 71, 026114 (2005). 10.1103/PhysRevE.71.026114
36. N. Soga, H. Yamanaka, C. Hisamoto, and M. Kunugi, J. Non-Cryst. Solids 22, 67 (1976). 10.1016/0022-3093(76)90008-9
37. A. J. Rader, Brandon M. Hespenheide, Leslie A. Kuhn, and M. F. Thorpe, Proc. Natl. Acad. Sci. U.S.A. 99, 3540 (2002). 10.1073/pnas.062492699
38. W. A. Kamitakahara, R. L. Cappelletti, P. Boolchand, B. Halfpap, F. Gompf, D. A. Neumann, and H. Mutka, Phys. Rev. B 44, 94 (1991). 10.1103/PhysRevB.44.94
39. F. L. Galeener, D. B. Kerwin, A. J. Miller, and J. C. Mikkelsen, Jr., Phys. Rev. B 47, 7760 (1993). 10.1103/PhysRevB.47.7760
40. T. Qu, D. G. Georgiev, P. Boolchand, and M. Micoulaut, in Supercooled Liquids, Glass Transition and Bulk Metallic Glasses, MRS Symposium Proceedings No. 754, edited by, T. Egami,,, A. L. Greer,,, A. Inoue,, and, S. Ranganathan, (Materials Research Society, Pittsburgh, 2003), p. CC8.1.1.
41. C. Huang and A. N. Cormack, J. Chem. Phys. 93, 8180 (1990). 10.1063/1.459296
42. C. Huang and A. N. Cormack, J. Chem. Phys. 95, 3634 (1991). 10.1063/1.460814
43. A. Feltz, H. Aust, and A. Blayer, J. Non-Cryst. Solids 55, 179 (1983). 10.1016/0022-3093(83)90667-1
44. X. Feng, W. J. Bresser, and P. Boolchand, Phys. Rev. Lett. 78, 4422 (1997). 10.1103/PhysRevLett.78.4422
45. A. L. Renninger and B. L. Averbach, Phys. Rev. B 8, 1507 (1973). 10.1103/PhysRevB.8.1507
46. D. G. Georgiev, P. Boolchand, and M. Micoulaut, Phys. Rev. B 62, R9228 (2000). 10.1103/PhysRevB.62.R9228
47. Y. Bottinga and P. Richet, Geochim. Cosmochim. Acta 59, 2725 (1995) 10.1016/0016-7037(95)00168-Y
48. R. Brückner, Glastech. Ber. 37, 459 (1964).
49. G. S. Henderson, J. Non-Cryst. Solids 353, 1695 (2007). 10.1016/j.jnoncrysol.2007.02.037
50. P. S. Salmon, J. Non-Cryst. Solids 353, 2959 (2007). 10.1016/j. jnoncrysol.2007.05.152
51. S. Suzuki and Y. Abe, J. Non-Cryst. Solids 43, 141 (1981). 10.1016/0022-3093(81)90180-0
52. R. Brückner, J. Non-Cryst. Solids 5, 281 (1971). 10.1016/0022-3093(71)90068-8
53. R. Simha and R. F. Boyer, J. Chem. Phys. 37, 1003 (1962). 10.1063/1.1733201
54. M. Wyart, Ann. Phys.(N.Y.) 30, 1 (2005).