A discussion is given of aspects of atomic
charge density which possess the property of antisymmetry about the reference
nuclear centre. It is shown that components of electronic charge density
displaying this property must be an integral part of all bonded atoms
possessing non-centric environments. The significance of such components for
detailed X-ray diffraction studies of the electron redistribution which
characterizes covalent bond formation is demonstrated for the case of carbon in
diamond, and it is shown that the so-called "forbidden" 222 reflexion
there is a natural consequence of antisymmetric features required by the
non-centric (tetrahedral) disposition of bonded atoms in this lattice. Detailed
X-ray studies of anthracene, salicylic acid, and cyanuric acid are cited to
illustrate the importance and generality of antisymmetry concepts in accurate
examinations of molecular systems; their significance in explaining
long-standing discrepancies in the location of hydrogen atoms by X-ray and neutron
diffraction methods is also noted. The discussion also demonstrates the
relevance of antisymmetry to recent important neutron diffraction studies of
fluorite structures at different elevated temperatures. Here, the accessible
aspects of atomic charge density are those of nuclear charge density, i.e.
nuclear vibrational behaviour, and it is shown that the presence of significant
anharmonicity in the anionic vibrational pattern is responsible for the unusual
diffraction effects observed. This anharmonicity has the same antisymmetry
characteristics as those responsible for the 222 reflexion observed in X-ray
studies of diamond. It is predicted that .future neutron studies of diamond
structures (C, Si, Ge) at elevated temperatures should reveal a range of "forbidden"
reflexions produced by antisymmetric components in the nuclear motions about
their equilibrium positions.
The discussion concludes with brief
comments on the multipolar nature of bonded atoms arising from antisymmetric
components in their electronic charge densities. Preliminary remarks are made
on the relevance of the multipole concept to general problems of structure and
properties of molecular systems.