A THEORETICAL TREATMENT OF “ORIENTATIONAL” DISORDER
FOR ROUTINE USE
BY MICHAEL JEWESS
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This work is an extension of work performed in the
Inorganic Chemistry Laboratory, University of Oxford, UK, and was published in Acta Crystallographica B.
Abstract
Many crystals
are known in which diatomic or polyatomic ions are 'orientationally'
disordered. General principles are
presented which must govern the precise positions among which the ions are
disordered, if short-range ordering is ignored. These principles are applied,
by way of example, to four crystals, namely the room-temperature forms of
ammonium chloride, tetramethylammonium trichloromanganate(II) (NMe4MnCl3),
scawtite [Ca7(Si6O18)(CO3).2H2O], and bis-(adiponitrile)copper(I)
nitrate {Cu[NC(CH2)4CN]2NO3}. In
these crystals, the disordered ions are, respectively NH4+,
NMe4+, CO32-, and NO3-. It is shown that the structure analyses
reported for the latter three crystals were based on physically unfeasible
assumptions about the positions among which the ions are disordered. It is
suggested that this explains the problems encountered in each case, and that
routine use of the general principles here presented should improve the
reliability of future refinements of structures of this type.
Keywords: thermodynamics, crystallography, disorder,
positional disorder, orientational disorder, specific heat, heat capacity,
anomaly, ammonium, ammonium chloride, tetramethylammonium,
trichloromanganate(II), manganese, TMMC, adiponitrile, copper(I), nitrate,
carbonate, scawtite.
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