Information-based measures of structural complexity: Application to fluorite-related structures

Structural Chemistry

Volumn 23, Issue 4, 2012, Pages 1045-1052

  Krivovichev, Sergey V ^a,b  

^a ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

^b GREBENSHCHIKOV INSTITUTE OF SILICATE CHEMISTRY   (Russian Federation)

Author keywords

Crystal structure; Quotient graph; Shanon information; Structural complexity

Indexed keywords

EID: 84867231808     PISSN: 10400400     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11224-012-0015-1     Document Type: Article

References (54)

1. Andersson S, Hyde BG (1974) J Solid State Chem 9:92
2. Andersson S (1978) Acta Crystallogr A34:833
3. Nyman H, Andersson S (1979) Acta Crystallogr A35:580
4. Andersson S (1981) In: O'Keeffe M, Navrotsky A (eds) Structure and bonding in crystals, vol Academic Press, New York
5. Andersson S, Hyde BG (1982) Z Kristallogr 158:119
6. Andersson S (1983) Angew Chem Int Ed 22:69
7. Yang QB, Andersson S, Stenberg L (1987) Acta Crystallogr B43:14
8. Hyde BG, Andersson S (1989) Inorganic crystal structures. Wiley, New York
9. Jacob M, Lidin S, Andersson S (1993) Z Anorg Allg Chem 619:1721
10. Andersson S (2006) Solid State Sci 8:730
11. Bonchev D (2003) SAR QSAR Environ Res 14:199
12. Bonchev D (2005) In: Bonchev D, Rouvray DH (eds) Complexity in chemistry, biology, and ecology. Springer, New York
13. Dehmer M (2011) Symmetry 3:767
14. Krivovichev SV (2012) Acta Crystallogr A68:393
15. O'Keeffe M, Hyde BG (1996) Crystal structures. I. Patterns and symmetry. Mineralogical Society of America, Washington, D.C.
16. Krivovichev SV (2000) Solid State Sci 1:211
17. Krivovichev SV (2000) Solid State Sci 1:221
18. Krivovichev SV, Filatov SK (1999) Acta Crystallogr B55:664
19. Klee WE (2004) Cryst Res Technol 39:959
20. Chung SJ, Hahn Th, Klee WE (1984) Acta Crystallogr A40:42
21. Rashevsky N (1955) Bull Math Biophys 17:229
22. Shannon E, Weaver W (1949) The mathematical theory of communications. University of Illinois Press, Urbana
23. Trucco E (1956) Bull Math Biophys 18:129
24. Sahl K (1970) Z Kristallogr 132:99
25. Starova GL, Krivovichev SV, Filatov SK (1998) Z Kristallogr 213:650
26. Mattfeld H, Meyer G (1994) Z Anorg Allg Chem 620:85
27. Krivovichev SV, Burns PC (2001) Eur J Mineral 13:801
28. Siidra OI, Krivovichev SV, Armbruster T, Depmeier W (2008) Z Kristallogr 223:204
29. Kramer V, Post E (1985) Mater Res Bull 20:407
30. Besse JP, Bolte M, Baud G, Chevalier R (1976) Acta Crystallogr B32:3045
31. Palazzi M, Jaulmes S (1981) Acta Crystallogr B37:1340
32. Ketatni EM, Huvé M, Abraham F, Mentré O (2003) J Solid State Chem 172:327
33. Colmont M, Huvé M, Mentré O (2006) Inorg Chem 45:6612
34. Huvé M, Colmont M, Mentré O (2006) Inorg Chem 45:6604
35. Khamaganova TN, Trunov VK, Dzhurinskii BF (1991) Zh Neorg Khim 36:855
36. Dent Glasser LS, Howie RA, Smart RM (1981) Acta Crystallogr B37:303
37. Brandle CD, Steinfink H (1969) Inorg Chem 8:1320
38. Gastaldi L, Carre D, Pardo MP (1987) Acta Crystallogr B38:2365
39. Krivovichev SV, Turner R, Rumsey M, Siidra OI (2009) Mineral Mag 73:75
40. Siidra OI, Krivovichev SV, Filatov SK (2008) Z Kristallogr 223:114
41. Siidra OI, Krivovichev SV, Turner RW, Rumsey MS (2012) In: Krivovichev SV (ed) Minerals as advanced materials II. Springer, Heidelberg
42. Boher P, Garnier P, Gavarri JR, Hewat AW (1985) J Solid State Chem 57:343
43. Narducci AA, Ibers JA (2000) J Alloys Compd 306:170
44. Riebe HJ, Keller HL (1988) Z Anorg Allg Chem 566:62
45. Corbel G, Leblanc M, Antic-Fidancev E, Lemaitre-Blaise M (1999) J Solid State Chem 144:35
46. Krivovichev SV, Burns PC (2003) Z Kristallogr 218:357
47. Cordier G, Ochmann H (1991) Z Kristallogr 197:295
48. Krivovichev SV, Burns PC (2006) Can Mineral 44:515
49. Ketatni M, Mentre O, Abraham F, Kzaiber F, Mernari B (1998) J Solid State Chem 139:274
50. Giraud S, Drache M, Conflant P, Wignacourt JP, Steinfink H (2000) J Solid State Chem 154:435
51. Kato K (1979) Acta Crystallogr B35:795
52. Cooper MA, Hawthorne FC (1994) Am Mineral 79:550
53. Welch M, Cooper MA, Hawthorne FC, Criddle AJ (2000) Am Mineral 85:1526
54. Krivovichev SV, Siidra OI, Nazarchuk EV, Burns PC, Depmeier W (2006) Inorg Chem 45:3846