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Coincidences of hypercubic lattices in 4 dimensions
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Peter Zeiner
Published/Copyright:
September 25, 2009
Summary
We consider the CSLs of 4-dimensional hypercubic lattices. In particular, we derive the coincidence index Σ and calculate the number of different CSLs as well as the number of inequivalent CSLs for a given Σ. The hypercubic face centered case is dealt with in detail and it is sketched how to derive the corresponding results for the primitive hypercubic lattice.
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Published Online: 2009-9-25
Published in Print: 2006-2-1
© by Oldenbourg Wissenschaftsverlag, München
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Articles in the same Issue
- Coincidences of hypercubic lattices in 4 dimensions
- Two isostructural manganese (III) diphosphates, acid α-MnHP2O7 and double MnLiP2O7: crystal structure determination from X-ray powder diffraction data
- The crystal structure of Cu1.78Bi4.73Se8, an N = 3 pavonite homologue with a Cu-for-Bi substitution
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- The structure of O-phospho-DL-threonine in potassium, sodium and ammonium environments
- A comparative study of the anisotropy of lattice strain induced in the crystals of DL-serine by cooling down to 100 K, or by increasing pressure up to 8.6 GPa. A comparison with L-serine
- Crystal structures of the [18]-crown-6 ammoniate C12H24O6 · 2 NH3 and the cryptand [2.2.2] ammoniate C18H36O6N2 · 2 NH3
- Synthesis, crystal structure and theoretical studies of aryltellurenyl tetramethylthiourea(tmtu) iodine complexes: Ph-Te(tmtu)I (1) and β-naphtyl-Te(tmtu)I (2)
