page_title: Thermal ellipsoid
hierarchical_section_title: Thermal ellipsoid
caption_attribution_description: Thermal ellipsoid model of the coordination environment of chlorine in the crystal structure of chloryl hexafluoroantimonate, [ClO2][SbF6]. Colour code: Chlorine, Cl: green Oxygen, O: red Fluorine, F: yellow-green Crystal structure from Inorg. Chem. (2008) 47, 8343–8356. Image generated in CrystalMaker 8.2.
context_page_description: 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, 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, and, 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%.
context_section_description: 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 , , and , 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%.
caption: A thermal ellipsoid model[2] of the coordination environment of the chlorine atom in ClO+
  2 (the chloryl cation), in crystalline chloryl hexafluoroantimonate, formula [ClO2][SbF6]. The chlorine atom (Cl) is in the +5 oxidation state, and is at the center in bright green; the two oxygens (O) are in red, and four fluoride anions from a hexafluoroantimonate (SbF6−) anion that coordinate to the electropositive chlorine atom are shown in yellowish-green at the periphery, at right (with light lines indicating the coordinating F-Cl interactions. This reactive compound is prepared by treatment of FClO2 with the perfluoro-Lewis acid, SbF5.[3]
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