Norio Kato (1923–2002)

Structure of nanocrystalline anatase solved and refined from electron powder data

Energy-filtered Debye–Scherrer electron powder data have been succesfully employed to determine the structure of nanocrystalline anatase (TiO₂). The results obtained in the present study show for the first time that small-unit-cell structures of symmetry lower than hexagonal are directly accessible from non-textured electron powder data.

A maximum-likelihood method for global-optimization-based structure determination from powder diffraction data

A maximum-likelihood method is implemented in a powder crystal structure solution framework.

Group-theoretical and geometrical considerations of the phase transition between the high-temperature polymorphs of quartz and tridymite

A possible mechanism for the phase transition between the high-temperature polymorphs of quartz and tridymite is described by a deformation of a homogeneous sphere packing with contact number 3 formed by the Si atoms in the common subgroup P6₁22 of P6₄22 and P6₃mmc.

Morphological possibilities in general crystallog­raphy. Snow crystals

Morphological features observed in snow crystals, like a macroscopic hexagonal lattice and pinned growth boundaries, are analyzed in the framework of a general crystallography that allows point groups of infinite order.

Structure, odd lines and topological entropy of disorder of amorphous silicon

The topologically stable odd-line defects are found for a continuous random network model of amorphous silicon. From these, the topological entropy of disorder is found.

A multigrid approach to the average lattices of quasicrystals

The average structure of a quasilattice is calculated using the dual generalized method.

Algebraic direct methods for few-atoms structure models

Normalized structure-factor algebra is presented for few-atoms structure models with N = 1, 2, 3, … equal atoms or polyatomic globs per unit cell.

A new method for calculation of crystal susceptibilities for X-ray diffraction at arbitrary wavelength

The article presents a method for calculation of X-ray susceptibility and the Debye–Waller factor for crystals. The method improves the precision of calculated values in comparison with the presently used algorithms. The results are illustrated by numerical examples and compared with experimental data.

Absolute structure-factor measurements of an Al–Pd–Mn quasicrystal

Several X-ray reflections from an icosahedral quasicrystal Al–Pd–Mn have been measured with great accuracy on an absolute basis by making use of Bragg-case diffraction. Anomalous transmission was found to be strong in the `good' regions of the quasicrystalline specimen and it was measured on an absolute basis, but the small residual strains present in the specimen prevented an accurate comparison between theory and experiment.

Atomic structure of the (Al,Si)CuFe cubic approxi­mant phase

The crystal structure determination of the 1/1 cubic approximant of the icosahedral phase i-AlCuFe is performed by single-crystal X-ray diffraction. The refined structure is shown to agree reasonably well with the theoretical one obtained from the ideal parent quasicrystal structure by the perpendicular shear method. The 1/1 cubic approximant shares many features of the quasicrystal including large atomic clusters that extend significantly farther than the unit cell of the approximant.

On the symmetry of 9- and 10-hedra

The symmetry point groups for all combinatorially non-isomorphic 9- and 10-hedra (2606 and 32300, respectively) are contributed for the first time.

The Goos–Hänchen effect at Bragg diffraction

Lateral shift of the Bragg diffracted beam was measured for a spectrally narrow beam.

Form factors for core electrons useful for the application of quantum crystallography (QCr) to organic molecules

Form factors are calculated for the core electrons of the first-row atoms B, C, N, O and F.

Dynamical theory of X-ray diffraction

Diffuse neutron scattering from crystalline materials

Phonons in nanostructures

Symmetry and structure