# SOLID STATE PHYSICS PROGRAM. CALCULATIONS ON THE GROUP THEORY AND BAND STRUCTURE OF CADMIUM SULFIDE. Technical Report No. 9

## Abstract

The group theory of the wurtzite structure is discussed and applied to determine symmetrized combinations of plane waves (scpw's) which transform according to the irreducible representations of the group of the wave vector. A general expression for the matrix elements of the Hamiltonian between the scpw's is developed. The crystal potential is constructed from empirical, orthonormal Slater atomic wave functions. It is assumed to be a superposition of atomic potentials. The Fourier coefficients of the potential are calculated for the purpose of determining the band structure by the Phillips and Kleinman "effective potential" method to be accomplished at a later date. The escalator method of solving secular determinants is discussed and extended for determinants of Hermitian matrices. (auth)

- Authors:

- Publication Date:

- Research Org.:
- Case Inst. of Tech., Cleveland

- OSTI Identifier:
- 4137379

- Report Number(s):
- TID-6392

- NSA Number:
- NSA-14-024767

- DOE Contract Number:
- AT(11-1)-623

- Resource Type:
- Technical Report

- Resource Relation:
- Other Information: Orig. Receipt Date: 31-DEC-60

- Country of Publication:
- United States

- Language:
- English

- Subject:
- PHYSICS; ATOMIC MODELS; CADMIUM SULFIDES; CRYSTALS; DIFFERENTIAL EQUATIONS; ELECTRIC POTENTIAL; ENERGY LEVELS; FOURIER ANALYSIS; GROUP THEORY; HAMILTONIAN; HERMITIAN MATRIX; LATTICES; MATHEMATICS; MATRICES; OSCILLATIONS; QUANTUM MECHANICS; SOLIDS; VECTORS; WAVE MECHANICS; WURTZITE; ZINC SULFIDES

### Citation Formats

```
Cohen, D A.
```*SOLID STATE PHYSICS PROGRAM. CALCULATIONS ON THE GROUP THEORY AND BAND STRUCTURE OF CADMIUM SULFIDE. Technical Report No. 9*. United States: N. p., 1960.
Web.

```
Cohen, D A.
```*SOLID STATE PHYSICS PROGRAM. CALCULATIONS ON THE GROUP THEORY AND BAND STRUCTURE OF CADMIUM SULFIDE. Technical Report No. 9*. United States.

```
Cohen, D A. Wed .
"SOLID STATE PHYSICS PROGRAM. CALCULATIONS ON THE GROUP THEORY AND BAND STRUCTURE OF CADMIUM SULFIDE. Technical Report No. 9". United States.
```

```
@article{osti_4137379,
```

title = {SOLID STATE PHYSICS PROGRAM. CALCULATIONS ON THE GROUP THEORY AND BAND STRUCTURE OF CADMIUM SULFIDE. Technical Report No. 9},

author = {Cohen, D A},

abstractNote = {The group theory of the wurtzite structure is discussed and applied to determine symmetrized combinations of plane waves (scpw's) which transform according to the irreducible representations of the group of the wave vector. A general expression for the matrix elements of the Hamiltonian between the scpw's is developed. The crystal potential is constructed from empirical, orthonormal Slater atomic wave functions. It is assumed to be a superposition of atomic potentials. The Fourier coefficients of the potential are calculated for the purpose of determining the band structure by the Phillips and Kleinman "effective potential" method to be accomplished at a later date. The escalator method of solving secular determinants is discussed and extended for determinants of Hermitian matrices. (auth)},

doi = {},

journal = {},

number = ,

volume = ,

place = {United States},

year = {1960},

month = {6}

}