Tetrahedral rigid-body motion in silicates

K. L. Bartelmehs; R. T. Downs; G. V. Gibbs; M. B. Boisen; J. B. Birch

doi:10.2138/am-1995-7-805

Tetrahedral rigid-body motion in silicates

K. L. Bartelmehs, R. T. Downs, G. V. Gibbs, M. B. Boisen, J. B. Birch

Geosciences

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12 Scopus citations

Abstract

The atomic displacement parameters (ADPs) obtained from published refinements of silicate crystals measured at or below room temperature are examined to determine if TO₄ (T = Al,Si) tetrahedra display rigid-body thermal motion. In many cases, the correlation found among the ADPs is consistent with the TLS model of rigid-body motion. The libration angle for rigid tetrahedra is quadratically dependent on the difference between the isotropic equivalent displacement parameter of the T and O atoms, B_eq(T) and B_eq(O), respectively. The value of B_eq(O) is on average twice that of B_eq(T), with an observed maximum value of ~2.0 Å³. -from Authors

Original language	English (US)
Pages (from-to)	680-690
Number of pages	11
Journal	American Mineralogist
Volume	80
Issue number	7-8
DOIs	https://doi.org/10.2138/am-1995-7-805
State	Published - 1995

ASJC Scopus subject areas

Geophysics
Geochemistry and Petrology

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title = "Tetrahedral rigid-body motion in silicates",

abstract = "The atomic displacement parameters (ADPs) obtained from published refinements of silicate crystals measured at or below room temperature are examined to determine if TO4 (T = Al,Si) tetrahedra display rigid-body thermal motion. In many cases, the correlation found among the ADPs is consistent with the TLS model of rigid-body motion. The libration angle for rigid tetrahedra is quadratically dependent on the difference between the isotropic equivalent displacement parameter of the T and O atoms, Beq(T) and Beq(O), respectively. The value of Beq(O) is on average twice that of Beq(T), with an observed maximum value of ~2.0 {\AA}3. -from Authors",

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T1 - Tetrahedral rigid-body motion in silicates

AU - Bartelmehs, K. L.

AU - Downs, R. T.

AU - Gibbs, G. V.

AU - Boisen, M. B.

AU - Birch, J. B.

PY - 1995

Y1 - 1995

N2 - The atomic displacement parameters (ADPs) obtained from published refinements of silicate crystals measured at or below room temperature are examined to determine if TO4 (T = Al,Si) tetrahedra display rigid-body thermal motion. In many cases, the correlation found among the ADPs is consistent with the TLS model of rigid-body motion. The libration angle for rigid tetrahedra is quadratically dependent on the difference between the isotropic equivalent displacement parameter of the T and O atoms, Beq(T) and Beq(O), respectively. The value of Beq(O) is on average twice that of Beq(T), with an observed maximum value of ~2.0 Å3. -from Authors

AB - The atomic displacement parameters (ADPs) obtained from published refinements of silicate crystals measured at or below room temperature are examined to determine if TO4 (T = Al,Si) tetrahedra display rigid-body thermal motion. In many cases, the correlation found among the ADPs is consistent with the TLS model of rigid-body motion. The libration angle for rigid tetrahedra is quadratically dependent on the difference between the isotropic equivalent displacement parameter of the T and O atoms, Beq(T) and Beq(O), respectively. The value of Beq(O) is on average twice that of Beq(T), with an observed maximum value of ~2.0 Å3. -from Authors

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Tetrahedral rigid-body motion in silicates

Abstract

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