Crystallographic disorder

In X-ray crystallography, crystallographic disorder describes the existence of variable geometries within a crystal. In some cases, disorder can be described as cocrystallization.

Inorganic cases

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unit cell of a common form of solid ammonium chloride

Disorder is pervasive in inorganic solids. Here are a few cases:

Atomic structure of crystalline NaSH according to X-ray crystallography. Color code: violet = Na, yellow = S, white = H.

At temperatures above 360 K, NaSH adopts the NaCl structure, which implies that the HS behaves as a spherical anion owing to its rapid rotation, leading to equal occupancy of eight equivalent positions. Below 360 K, a rhombohedral structure forms, and the HS sweeps out a discoidal shape. Below 114 K, the structure becomes monoclinic. The analogous rubidium and potassium compounds behave similarly.[1]

For ammonium chloride (NH4Cl).[2] , according to X-ray crystallography, two phases are disordered variants]] of the sodium chloride and cesium chloride structures.[3]

Solid potassium cyanide (KCN) has structure resembling sodium chloride: with each potassium ion surrounded by six cyanide ions, and vice versa. Despite being diatomic, and thus less symmetric than chloride, the cyanide ions rotate so rapidly that their time-averaged shape is spherical. At low temperature and high pressure, this free rotation is hindered, resulting in a less symmetric crystal structure with the cyanide ions arranged in sheets.[4][5]

Molecular cases

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Disorder is common for molecules where more than one rotamer, conformer, or isomer where the center of mass of each form is identical or unresolvable. Due to disorder, the crystallographic solution is the sum of the various forms. In many cases, the components of the disorder are equally abundant, and, in other cases, the weighting coefficients for each component differ. Disorder can entail a pair or several components, and usually arises when the forms are nearly equal in energy and the crystal lattice is sufficiently spacious to accommodate the various components.

References

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  1. Haarmann, F.; Jacobs, H.; Roessler, E.; Senker, J. (2002). "Dynamics of anions and cations in hydrogensulfides of alkali metals (NaHS, KHS, RbHS): A proton nuclear magnetic resonance study". J. Chem. Phys. 117 (3): 1269–1276. Bibcode:2002JChPh.117.1269H. doi:10.1063/1.1483860.
  2. Pistorius, Carl W.F.T. (1976). "Phase relations and structures of solids at high pressures". Progress in Solid State Chemistry. 11: 1–151. doi:10.1016/0079-6786(76)90012-1.
  3. Ross, R. G.; Sandberg, O. (1979). "Thermal conductivity and heat capacity of solid phases of NH4Cl under pressure". Journal of Physics C: Solid State Physics. 12 (18): 3649–3660. doi:10.1088/0022-3719/12/18/009.
  4. Crystallography Open Database, Structure of KCN
  5. H. T. Stokes; D. L. Decker; H. M. Nelson; J. D. Jorgensen (1993). "Structure of potassium cyanide at low temperature and high pressure determined by neutron diffraction". Physical Review B (Submitted manuscript). 47 (17): 11082–11092. Bibcode:1993PhRvB..4711082S. doi:10.1103/PhysRevB.47.11082. PMID 10005242..
  6. Beatrice Roessler; Sven Kleinhenza; Konrad Seppelt (2000). "Pentamethylmolybdenum". Chemical Communications (12): 1039–1040. doi:10.1039/b000987n.