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Science 7 May 1971:
Vol. 172. no. 3983, pp. 567 - 570
DOI: 10.1126/science.172.3983.567
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Articles

Quadratic Elongation: A Quantitative Measure of Distortion in Coordination Polyhedra

Keith Robinson 1, G. V. Gibbs 1, and P. H. Ribbe 1

1 Department of Geological Sciences, Virginia Polytechnic Institute and State University, Blacksbhurg 24061

Quadratic elongation and the variance of bond angles are linearly correlated for distorted octahedral and tetrachedral corrdination complexes, both of which show variations in bond length and bond angle. The quadratic elongation is dimensionless, giving a quantitative measure of polyhedral disortion which is independent of the effective size of the polyhedron.


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Equations of state and structures of andalusite to 9.8 GPa and sillimanite to 8.5 GPa.
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European Journal of Mineralogy 17, 297-304
   Abstract »    Full Text »    PDF »
Yazganite, NaFe3+ 2(Mg,Mn)(AsO4)3.H2O, a new mineral: its description and crystal structure.
H. SARP and R. CERNY (2005)
European Journal of Mineralogy 17, 367-373
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Clinoholmquistite discredited: The new amphibole end-member fluoro-sodic-pedrizite.
R. Oberti, F. Camara, and L. Ottolini (2005)
American Mineralogist 90, 732-736
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THE PYROPHANITE ECANDREWSITE SOLID-SOLUTION: CRYSTAL STRUCTURES OF THE Mn1 xZnxTiO3 SERIES (0.1 <= x <= 0.8).
R. H. Mitchell and R. P. LIferovich (2004)
Can Mineral 42, 1871-1880
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Non-metamict betafite from Le Carcarelle (Vico volcanic complex, Italy): occurrence and crystal structure.
F. Camara, C. T. Williams, G. D. Ventura, R. Oberti, and E. Caprilli (2004)
Mineralogical Magazine 68, 939-950
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Site distribution of Fe2+ and Fe3+ in the axinite mineral group: New crystal-chemical formula.
G. B. Andreozzi, S. Lucchesi, G. Graziani, and U. Russo (2004)
American Mineralogist 89, 1763-1771
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The first proof of protonated anion tetrahedra in the tsumcorite-type compounds.
T. Mihajlovic and H. Effenberger (2004)
Mineralogical Magazine 68, 757-767
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STRUCTURAL VARIATION IN THE LITHIOPHILITE-TRIPHYLITE SERIES AND OTHER OLIVINE-GROUP STRUCTURES.
A. Losey, J. Rakovan, J. M. Hughes, C. A. Francis, and M. D. Dyar (2004)
Can Mineral 42, 1105-1115
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An X-ray Rietveld study of piemontite on the join Ca2Al3Si3O12(OH) Ca2Mn3+3 Si3O12(OH) formed by hydrothermal synthesis.
M. Nagashima and M. Akasaka (2004)
American Mineralogist 89, 1119-1129
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Crystal chemistry of Ti3+-Ti4+-bearing synthetic diopsides.
S. NAZZARENI, G. MOLIN, H. SKOGBY, and A. DAL NEGRO (2004)
European Journal of Mineralogy 16, 443-449
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