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absorption acceptors alkali alloys approximately atoms axis barium titanate boundary Bragg Brillouin zone calculated chapter charge conduction band conduction electrons crystal structure cube cubic Curie point Debye density dielectric constant diffraction diffusion dipole direction discussion dislocation distribution domain effective mass elastic electric field energy equation equilibrium exciton experimental F centers factor Fermi ferroelectric ferromagnetic free electron frequency germanium given heat capacity hexagonal holes impurity interaction ionization ions lattice constant lattice point low temperatures magnetic field magnetic moment metals molecules motion nearest neighbor normal observed p-n junction paramagnetic particles phonons Phys physics plane polarizability polarization positive potential Proc region resonance result room temperature rotation semiconductor Shockley shown in Fig sodium chloride solid solution space group specimen spin superconducting surface susceptibility symmetry Table theory thermal tion transition unit volume vacancies valence band values vector velocity wave functions wavelength zero