issue contents
July 2007 issue
research papers
Monte Carlo simulations and analytical results are used to demonstrate that the hexagonal close-packed pair correlations for different values of random growth and deformation faults can be collapsed into master curves when plotted against a variable scaled with respect to a characteristic length scale.
The Gumbel–Fisher–Tippett (GFT) extreme-value analysis is applied to study the distribution, expectation value and standard deviation of the highest normalized structure-factor amplitude.
A novel one-dimensional phase-retrieval approach applied to X-ray diffraction data from microfluidic arrays enabled the determination of the concentration profiles of confined colloidal solutions in a model-independent way with a resolution in the 10 nm range.
Quantities describing the character of the grain-boundary network in a two-dimensional crystallographically consistent polycrystal are derived for arbitrary crystal symmetry and orientation distribution function of the grains.
A method is proposed to search for topological relations between periodic nets and to find all subnets for a given net. The peculiarities of the approach are illustrated by a large number of examples of the nets often occurring in crystal structures.
Face-transitive tilings with Delaney–Dress symbol size less than 33 are generated. The nets of their dual tilings are edge-transitive.
A simple tensorial contraction method has been developed to obtain analytical formulae for X-ray resonant magnetic scattering. The method has been extended to non-spherical systems by deriving new phenomenological formulae.
All homogeneous sphere packings were derived that refer to the bivariant lattice complexes with orthorhombic symmetry. Examples of corresponding crystal structures are given.
Order parameters for phase transitions to structures with one-dimensional incommensurate modulations
Using group-theoretical methods, a unique and exhaustive enumeration is presented of the isotropy subgroups (and their corresponding order-parameter directions) belonging to irreducible representations of the (3+1)-dimensional superspace extensions of the 230 crystallographic space groups at all incommensurate k points.
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