# Accession Number:

## AD0651911

# Title:

## SOLID-STATE AND MOLECULAR THEORY GROUP.

# Descriptive Note:

## Quarterly progress rept. no. 64.

# Corporate Author:

## MASSACHUSETTS INST OF TECH CAMBRIDGE

# Personal Author(s):

# Report Date:

## 1967-04-15

# Pagination or Media Count:

## 53.0

# 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 12 together. In this case rather than considering the group SU2, appropriate for spin 12, branching diagrams for U2j1 are considered. Author

# Descriptors:

# Subject Categories:

- Nuclear Physics and Elementary Particle Physics
- Quantum Theory and Relativity
- Solid State Physics