Abstract
| Original language | English |
|---|---|
| Pages (from-to) | 274 - 285 |
| Number of pages | 12 |
| Journal | Acta crystallographica Section A: Crystal Physics, Diffraction, Theoretical and General Crystallography |
| Volume | 38 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 1982 |
| MoE publication type | Not Eligible |
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Symmetrized multipole analysis of coupled orientation-translation distributions. / Kara, Mikko.
In: Acta crystallographica Section A: Crystal Physics, Diffraction, Theoretical and General Crystallography, Vol. 38, No. 2, 1982, p. 274 - 285.Research output: Contribution to journal › Article › Scientific › peer-review
TY - JOUR
T1 - Symmetrized multipole analysis of coupled orientation-translation distributions
AU - Kara, Mikko
PY - 1982
Y1 - 1982
N2 - Symmetrized multipole formalism, in diffraction studies of orientationally disordered molecular crystals, is generalized to include coupling between orientations and translations of a rigid body and anharmonicity in the center-of-mass motion. This generalized formalism is intended for use with direct multipole analysis of the observed form factors. In the relationships between the radial multipole coefficients of the dynamic and static density, correlations cause a mixing in the multipole order. In the dynamic form factor the parameters describing the coupling are linear combinations of the multipole expansion coefficients of the corresponding rigid-body distribution. Parameters describing anisotropy are directly the multipole expansion coefficients of the rigid-body center-of-mass distribution. As an example of the formalism, neutron diffraction data from cubic KCN, NaCN, KOD, NaOD and CBr4 and rhombohedral RbNO3 are reanalyzed with direct multipole analysis. In these examples the importance of coupling seems to grow with the complexity of the crystal.
AB - Symmetrized multipole formalism, in diffraction studies of orientationally disordered molecular crystals, is generalized to include coupling between orientations and translations of a rigid body and anharmonicity in the center-of-mass motion. This generalized formalism is intended for use with direct multipole analysis of the observed form factors. In the relationships between the radial multipole coefficients of the dynamic and static density, correlations cause a mixing in the multipole order. In the dynamic form factor the parameters describing the coupling are linear combinations of the multipole expansion coefficients of the corresponding rigid-body distribution. Parameters describing anisotropy are directly the multipole expansion coefficients of the rigid-body center-of-mass distribution. As an example of the formalism, neutron diffraction data from cubic KCN, NaCN, KOD, NaOD and CBr4 and rhombohedral RbNO3 are reanalyzed with direct multipole analysis. In these examples the importance of coupling seems to grow with the complexity of the crystal.
U2 - 10.1107/S0567739482000588
DO - 10.1107/S0567739482000588
M3 - Article
VL - 38
SP - 274
EP - 285
JO - Acta Crystallographica Section A: Foundations and Advances
JF - Acta Crystallographica Section A: Foundations and Advances
SN - 2053-2733
IS - 2
ER -