Introduction to Crystallography

angles body-centered Bragg's law Bravais lattices C-centered C₁ C₂ axes C3 axis center of inversion center of symmetry centrosymmetric Chapter close-packed coordinates crystal structure crystal system crystallographic cubic deduce derived determination diffraction patterns direction electron density equations equivalent points example EXERCISE F(hkl face centering film Fourier glide plane Hermann-Mauguin infinite number integer intensities ions lattice points lattice vectors Laue layer methods Miller indices molecule monoclinic multiplication table neighbors notation obtained orientation origin orthorhombic p(xyz parallel Patterson function Patterson map Patterson peaks phase problem point group Point Space group point symmetry possible rays reciprocal lattice reflections rhombohedral Schoenflies screw axes shown in Fig space group Space group group space group P42/m sphere structure factors symbol symmetry elements symmetry groups symmetry operations tetragonal tion translation trigonal twofold axis unit cell unit cell dimensions values volume wavelength X-ray beam X-ray diffraction συ