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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