Nuclear Magnetic Resonance in Lead Telluride: A Report of the Semiconductor Devices and Materials GroupMassachusetts Institute of Technology, Center for Materials Science and Engineering, Department of Electrical Engineering, 1970 - Lead compounds - 197 pages Nuclear magnetic resonance (NMR) measurements have been used to develop a detailed model of the energy band structure of PbTe in the vicinity of the valence and conduction band edges. In addition, the hyperfine couplings between the carrier states and the Pb207 and Te125 nuclei have been determined. A parameterized k.pi nonparabolic model for the valence band conduction bands has been developed which takes account of the k.pi couplings among the six bands near the Fermi level at the L point of the Brillouin zone. From this band model, expressions are developed for the Fermi energy dependence of the g factors, the nonparabolic density of states, and the carrier concentration and temperature dependence of the Knight shift. The hyperfine coupling between the Pb207 nuclei band the valence band states is found to be nearly equal to the coupling between the Pb207 nuclei and the conduction band states. Both hyperfine constants are more than an order of magnitude larger than the hyperfine constant of the Pb(6s) state for neutral atomic lead. Relativistic corrections are examined to account for the unusual magnitudes of both hyperfine constants. The Pb207 resonance lineshape and resonance position were used to observe a damaged-induced compensation effect in p-type PbTe, which was not observed in n-type material. (Author). |
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Contents
TABLE OF CONTENTS | 9 |
EXPERIMENTAL TECHNIQUES | 21 |
PREPARATION AND CHARACTERIZATION OF | 45 |
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ampoules annealing band edge band model band ordering band structure band-edge masses Brillouin zone carrier concentration dependence carrier density Chapter chemical shift coefficient component conduction band contact interaction core polarization CORNELL CORNELL cose determined effective g factor effective mass electron energy band energy gap experiment experimental data Fermi energy Fermi level Fermi surface Figure frequency g factors gauss Hamiltonian hyperfine constants hyperfine coupling Knight shift calculation Knight shift data Landau levels lead telluride linewidth longitudinal low temperature magnetic field magnitude masses and g measurements momentum matrix elements nuclear resonance nucleus obtained orbital oscillator p-type material p-type PbTe parameters Pb Knight shift Pb resonance plotted powder reference field resonance data resonance field resonance signal s-like second band second valence band shift in p-type sine spectrometer spin spin-orbit mixing Table VI-4 tellurium temperature dependence transverse valence and conduction valley wavefunctions zero carriers ΔΕ