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acceptor amorphous applied field atoms behavior Bloch bond Brillouin zone carrier complicated conduction band crystal cubic curve cyclotron Debye dependence dielectric constant diffraction dipole direction discussed distribution effective mass elec electric field electron density Electron Energy electron gas electrons and holes Equation equilibrium extrinsic semiconductor Fermi energy Fermi level Fermi surface ferromagnetic finite free electron free hole function germanium impurity insulating interaction interatomic intrinsic gap ionic ionized k-space Landau low temperatures magnetic field magnetic induction mean free path metal mobility momentum motion n-type N₁ optical orbit paramagnetic periodic potential phonon Phys plane polarization Problem quantum range real space reciprocal lattice recombination resonance result sample scattering semiconductor shows silicon solid specific heat spectrum spin structure superconducting symmetry theory thermal tion transition tron valence band vector velocity vibrational wave wave-function wave-vector wavelength zero zone boundary