Abstract

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

Keywords

ElongationDistortion (music)PolyhedronQuadratic equationMeasure (data warehouse)Dimensionless quantityOctahedronQuadratic modelMathematicsQuadratic form (statistics)GeometryCombinatoricsMaterials scienceCrystallographyPhysicsChemistryComputer scienceStatisticsThermodynamicsCrystal structureComposite material

Affiliated Institutions

Related Publications

Publication Info

Year
1971
Type
article
Volume
172
Issue
3983
Pages
567-570
Citations
2016
Access
Closed

Social Impact

Social media, news, blog, policy document mentions

Citation Metrics

2016
OpenAlex
171
Influential
1529
CrossRef

Cite This

Keith Robinson, G. V. Gibbs, P. H. Ribbe (1971). Quadratic Elongation: A Quantitative Measure of Distortion in Coordination Polyhedra. Science , 172 (3983) , 567-570. https://doi.org/10.1126/science.172.3983.567

Identifiers

DOI
10.1126/science.172.3983.567
PMID
17802221

Data Quality

Data completeness: 77%