Accession Number : AD0651911

Title :   SOLID-STATE AND MOLECULAR THEORY GROUP.

Descriptive Note : Quarterly progress rept. no. 64.

Corporate Author : MASSACHUSETTS INST OF TECH CAMBRIDGE

Report Date : 15 APR 1967

Pagination or Media Count : 53

Abstract : A report is made on the theory of localized magnetic states in copper which goes a long way in treating transition metal impurities in a host copper lattice based on a realistic unperturbed band structure for both the s and d bands in copper. A difficult problem in carrying through the formalism is the calculation of matrix elements between atomic states, as perturbed by the crystalline environment, of the impurity potential. This adds a somewhat empirical element to the calculations but reasonable estimates of these parameters give results in fairly good agreement with experiments that give information about the localized states. Some problems concerned with impurity screening in an inhomogeneous electron gas are discussed. The formalism described is used to treat the problem as screening of impurities on the surface of a metal. Calculation of the band structure of tin by a relativistic A. P. W. calculation is discussed. Branching diagrams are discussed analagous to the one constructed for coupling particles of spin 1/2 together. In this case rather than considering the group SU(2), appropriate for spin 1/2, branching diagrams for U(2j+1) are considered. (Author)

Descriptors :   (*SOLID STATE PHYSICS, SCIENTIFIC RESEARCH), (*IMPURITIES, SOLIDS), (*TIN, BAND THEORY OF SOLIDS), (*NUCLEAR SPINS, GRAPHICS), COPPER, CRYSTAL DEFECTS, ATOMIC ENERGY LEVELS, SURFACE PROPERTIES, RELATIVITY THEORY

Subject Categories : Nuclear Physics & Elementary Particle Physics
      Quantum Theory and Relativity
      Solid State Physics

Distribution Statement : APPROVED FOR PUBLIC RELEASE