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

Research output: Contribution to journal › Article › peer-review

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

Access to Document

10.2138/am-1995-7-805

Cite this

@article{b4ce939dd6254033b68eca1d1e592d01,

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 \textasciitilde{}2.0 {\AA}3. -from Authors",

author = "Bartelmehs, \{K. L.\} and Downs, \{R. T.\} and Gibbs, \{G. V.\} and Boisen, \{M. B.\} and Birch, \{J. B.\}",

year = "1995",

doi = "10.2138/am-1995-7-805",

language = "English (US)",

volume = "80",

pages = "680--690",

journal = "American Mineralogist",

issn = "0003-004X",

publisher = "Walter de Gruyter GmbH",

number = "7-8",

}

TY - JOUR

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

UR - https://www.scopus.com/pages/publications/0029542124

UR - https://www.scopus.com/pages/publications/0029542124#tab=citedBy

U2 - 10.2138/am-1995-7-805

DO - 10.2138/am-1995-7-805

M3 - Article

AN - SCOPUS:0029542124

SN - 0003-004X

VL - 80

SP - 680

EP - 690

JO - American Mineralogist

JF - American Mineralogist

IS - 7-8

ER -

Tetrahedral rigid-body motion in silicates

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this