Abstract
The concept of bond valence and its correlation with bond length are reviewed. It is shown how to augment bond valence sums at an atom with other constraints so that bond lengths can be predicted for a given topology. These constraints can be read directly from the connectivity matrix for the structure. The physical reasons for the constraints are analysed, and this analysis leads in turn to a reformulation of Pauling's electrostatic valence sum rule. The apparent valences of atoms, calculated as a sum of bond valences derived from bond lengths, are often significantly different from the actual valences. It is demonstrated that such observations are often diagnostic of non-bonded repulsions. Limitations and possible extensions of the method are outlined.
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References
Brown ID (1978) Chem. Soc. Rev. 7: 359
Brown ID (1981) In: O'Keeffe M, Navrotsky A (eds) Structure and bonding in crystals II. Academic, New York
O'Keeffe M, Hyde BG (1985) Structure and Bonding 61: 79
Pauling L (1947) J. Amer. Chem. Soc. 69: 542
Byström A, Wilhelmi K-A (1951) Acta Chem. Scand. 5: 1003
Bragg WL (1920) Phil. Mag. 40: 169
Slater JC (1965) Quantum Theory of Molecules and Solids 2, McGraw-Hill, New York
Shannon RD, Prewitt CT (1969) Acta Crystallogr. B25: 925
O'Keeffe M (1981) In: O'Keeffe M, Navrotsky A (eds) Structure and bonding in crystals I. Academic, New York
Pauling L (1960) The nature of the chemical bond, Cornell University Press, Ithaca
Adamson A (1979) A textbook of physical chemistry, Academic, New York
Johnston HS (1966) Gas phase reaction theory, Ronald, New York
Zachariasen WH (1963) Acta Crystallogr. 16: 385
Brown ID, Altermatt D (1985) Acta Crystallogr. B41: 244
Brown ID (1977) Acta Crystallogr. B33: 1305
Mackay AL, Finney JL (1973) J. Appl. Crystallogr. 6: 284
Horiuchi H, Sawamoto H (1981) Amer. Mineral. 66: 568
O'Keeffe M, Hyde BG (1978) Acta Crystallogr. B34: 3519
Laurent Y, Guyader J, Roult G (1981) Acta Crystallogr. B37: 911
Marezio M (1965) Acta Crystallogr. B37: 481
Hesse K-F (1977) Acta Crystallogr. B33: 901
Völlenkle H, Wittmann J (1968) Mh. Chem. 99: 244
O'Keeffe M, Hansen S (1988) J. Am. Chem. Soc. 110: 1506
Harris LA, Yakel HL (1969) Acta Crystallogr. B25: 1647
Geller S (1960) J. Chem. Phys. 33: 676
Marezio M, Remeika JP (1967) J. Chem. Phys. 46: 1862
Daniel F, Moret J, Phillippot E, Maurin M (1977) J. Solid State Chem. 22: 113
Wagner TR, O'Keeffe M (1988) J. Solid State Chem. 73: 211
Baur W (1981) In: O'Keeffe M, Navrotsky A (eds) Structure and bonding in crystals II. Academic, New York
Donnay G, Allmann R (1970) Amer. Mineral. 55: 1003
Ribbe PH, Gibbs GV (1971) Amer. Mineral. 56: 24
Pauling L (1928) Proc. Nat. Acad. Sci. U.S.A. 14: 603
Bart JCJ, Ragaini V (1979) Inorg. Chim. Acta 36: 261
Le Page Y, Strobel P (1982) J. Solid State Chem. 47: 6
Trömel M (1983) Acta Crystallogr. B39: 664
Domengés B, McGuire NK, O'Keeffe M (1985) J. Solid State Chem. 56: 94
Robin MB, Day P (1967) Adv. Inorg. Chem. Radiochem. 10: 247
Hámos LV, Stscherbina W (1931) Nacr. Ges. Wiss. Gotting. Math. Phys. Kl. Fachgruppen 232
Ruby SL, Shirane G (1961) Phys. Rev. 123: 1239
Morosin B, Baughman RJ, Ginley DS, Butler MA (1978) J. Appl. Cryst. 11: 121
Bartell LS (1962) Tetrahedron 17: 177
McGuire NK, O'Keeffe M (1984) J. Solid State Chem. 54: 49
O'Keeffe M, Hyde BG (1984) Nature 309: 411
O'Keeffe M, Stuart JA (1983) Inorg. Chem. 22: 177
Zachariasen WH (1978) J. Less-Common Mets. 62: 1
Adelbert P, Traverse JP (1979) Mat. Res. Bull. 14: 303
Bämighausen H, Schulter G (1985) aJ. Less-Common Mets. 110: 385
Beall GW, Milligan WO, Wolcott HA (1977) J. Inorg. Nucl. Chem. 39: 65
Caro P (1972) In: Roth RS, Schneider SJ (eds) Solid state chemistry, N.B.S. Spec. Publ. 364, Washington, p. 367
Barbier J, Hyde BG (1985) Acta Crystallogr. B41: 383
Burdett JK (1980) Molecular shapes, Wiley, New York
O'Keeffe M (1979) Acta Crystallogr. A35: 776
Halot D, Flahaut J (1971) C. R. Acad. Sci. Paris C272: 465
Imanov IM, Ragimli NA, Semiletov SA (1975) Soviet Phys. Crystallogr. 19: 466 [trans. of Krystallografiya 19: 751 (1974)]
Page L, Adams NI (1931) Principles of electricity, Van Nostrand, New York
Gibbs GV, Boisen MB (1987) Mat. Res. Soc. Symp. Proc. 73: 515
Burdett JK (1988) Chem. Revs. 88: 3
Brown ID, Wu KK (1976) Acta Crystallogr. B32: 1957
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© 1989 Springer-Verlag
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O'Keeffe, M. (1989). The prediction and interpretation of bond lengths in crystals. In: Stereochemistry and Bonding. Structure and Bonding, vol 71. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-50775-2_5
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DOI: https://doi.org/10.1007/3-540-50775-2_5
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