issue contents
November 2006 issue
research papers
All homogeneous sphere packings were derived that refer to the invariant and univariant lattice complexes with orthorhombic symmetry. Examples of corresponding crystal structures are given.
A special class of planar mathematical quasicrystals, i.e. the class of the so-called cyclotomic model sets, is introduced and the main algorithmic problems of the discrete tomography of these sets are discussed.
A multislice method for simulating precession electron diffraction data is presented, and simulated data are compared to experimental data for two materials systems. Dynamical diffraction effects are present in precession data but are somewhat smaller and intensity ordering is better preserved than in conventional transmission electron diffraction. Some of the implications of precession for conventional direct methods are discussed.
The finite size effects of nanoparticles on the atomic pair distribution function (PDF) are calculated; these are essential to the structural analysis of nanoparticles.
Explicit formulas for the indices of certain coincidence isometries of the hypercubic lattice are obtained by analyzing the normal form of a rational orthogonal matrix.
It has been possible to decide, by making use of multiple Bragg scattering, between two competing models for the d-electron density lobes in LaMnO3.
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