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・ Thermal decomposition
・ Thermal degradation of polymers
・ Thermal depolymerization
・ Thermal design power
・ Thermal desorption
・ Thermal desorption spectroscopy
・ Thermal destratification
・ Thermal diffusion
・ Thermal diffusivity
・ Thermal diode
・ Thermal dissolution
・ Thermal dose unit
・ Thermal effective mass
・ Thermal efficiency
・ Thermal effusivity
Thermal ellipsoid
・ Thermal Emission Imaging System
・ Thermal Emission Spectrometer
・ Thermal emittance
・ Thermal energy
・ Thermal energy storage
・ Thermal engineering
・ Thermal entrance length
・ Thermal equator
・ Thermal equilibrium
・ Thermal expansion
・ Thermal expansion coefficients of the elements (data page)
・ Thermal expansion valve
・ Thermal fade
・ Thermal fluctuations


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Thermal ellipsoid : ウィキペディア英語版
Thermal ellipsoid

Thermal ellipsoids, more formally termed atomic displacement parameters, are ellipsoids used in crystallography to indicate the magnitudes and directions of the thermal vibration of atoms in crystal structures. Since the vibrations are usually anisotropic (different magnitudes in different directions in space), an ellipsoid is a convenient way of visualising the vibration and therefore the symmetry and time averaged position of an atom in a crystal.
Thermal ellipsoids can be defined by a tensor, a mathematical object which allows the definition of magnitude and orientation of vibration with respect to three mutually perpendicular axes. The three principal axes of the thermal vibration of an atom are denoted U_1, U_2, and U_3, and the corresponding thermal ellipsoid is based on these axes. The size of the ellipsoid is scaled so that it occupies the space in which there is a particular probability of finding the electron density of the atom. The particular probability is usually 50%.
==See also==

* Debye–Waller factor

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