An Introduction to Mathematical Crystallography |
Other editions - View all
Common terms and phrases
angles Appendix bearing in mind Bravais space groups Brillouin zone C³M Chapter characterised coincides configurations construct coordinates corresponding crystal crystallographic point groups cube cyclic groups describes a rotation dihedral group displayed in Fig end-centred orthorhombic equation equivalent exhibits face-centred cubic factor group follows geometrical glide groups which qualify Hence horizontal 2-fold axis horizontal mirror hx+ky+lz identical atoms implies inversion centre J(hkl lattice point mathematical matrix mirror planes monoclinic monoclinic cell motif structure motif unit non-primitive cells orthorhombic orthorhombic cell parallel perpendicular point symmetries possible primitive cell primitive cubic lattice primitive hexagonal primitive rhombohedral cell properties Prove pure axial symmetries reciprocal lattice vector referred reflection replacing respectively rigid-body translation rotational symmetry roto-reflection setting being designated showing space groups space lattice stacking pattern symbol symmetry axis symmetry elements tetragonal tetragonal cell transformation translation operators unit cell vertical mirror xa+yb+zc zone