An Introduction to Mathematical Crystallography |
Contents
Nonprimitive Unit Cells | 6 |
85 | 10 |
Mathematical Formulation | 13 |
Copyright | |
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① ① 2-fold axes angles Appendix basis points bearing in mind Bravais space groups Brillouin zone Chapter characterised close-packed combined arrays configurations construct coordinates corresponding crystal crystallographic point groups cube cyclic groups defined dihedral group displayed in Fig equation equivalent exhibits face-centred cubic factor group follows geometrical hence horizontal 2-fold axis horizontal mirror hx+ky+lz identical atoms implies inversion centre lattice point macroscopic mathematical mirror planes monoclinic monoclinic cell motif structure motif unit non-primitive cells non-primitive hexagonal cell orthorhombic parallel point symmetries possible primitive cell primitive cubic lattice primitive hexagonal primitive rhombohedral cell Prove pure axial symmetries reciprocal lattice vector referred respectively rhombus rigid-body translation rotational symmetry setting being designated showing space groups space lattice stacking pattern symbol symmetry axis symmetry elements tetragonal tetragonal cell tetrahedral theorem transformation unit cell vertical mirror wave xa+yb+zc yields دو دو