# THE SPHERICAL HARMONICS METHOD IN PLANE AND SPHERICALLY SYMMETRIC GEOMETRY IN MULTI-VELOCITY-GROUP THEORY, AND ITS APPLICATION IN THE TWO-VELOCITY-GROUP P$sub 3$ APPROXIMATION

## Abstract

The spherical harmonics method is extended to a multi-velocity group theory and is illustrated by application to a two-velocity group theory in P/sub 3/ aporoximation in spherical and in plane symmetrical geometry. The method is applied, in the 2-group P/sub 3/ aporoximation, to finding the critical radius of a spherical core surrounded by a tamper of uniform thickness, and the critical thickness of an infinite slab core with equal thicknesses of tamper on each side. (auth)

- Authors:

- Publication Date:

- Research Org.:
- Gt. Brit. Atomic Energy Research Establishment, Harwell, Berks, England

- OSTI Identifier:
- 4260298

- Report Number(s):
- AERE-T/R-1295

- NSA Number:
- NSA-13-010134

- Resource Type:
- Technical Report

- Resource Relation:
- Other Information: Orig. Receipt Date: 31-DEC-59

- Country of Publication:
- United Kingdom

- Language:
- English

- Subject:
- PHYSICS AND MATHEMATICS; CONFIGURATION; GROUP THEORY; MATHEMATICS; REACTOR CORE; REACTORS; REFLECTORS; SPHERES; SPHERICAL HARMONICS; TAMPER; THICKNESS; VELOCITY; VOLUME

### Citation Formats

```
Mandl, M E.
```*THE SPHERICAL HARMONICS METHOD IN PLANE AND SPHERICALLY SYMMETRIC GEOMETRY IN MULTI-VELOCITY-GROUP THEORY, AND ITS APPLICATION IN THE TWO-VELOCITY-GROUP P$sub 3$ APPROXIMATION*. United Kingdom: N. p., 1953.
Web.

```
Mandl, M E.
```*THE SPHERICAL HARMONICS METHOD IN PLANE AND SPHERICALLY SYMMETRIC GEOMETRY IN MULTI-VELOCITY-GROUP THEORY, AND ITS APPLICATION IN THE TWO-VELOCITY-GROUP P$sub 3$ APPROXIMATION*. United Kingdom.

```
Mandl, M E. Sun .
"THE SPHERICAL HARMONICS METHOD IN PLANE AND SPHERICALLY SYMMETRIC GEOMETRY IN MULTI-VELOCITY-GROUP THEORY, AND ITS APPLICATION IN THE TWO-VELOCITY-GROUP P$sub 3$ APPROXIMATION". United Kingdom.
```

```
@article{osti_4260298,
```

title = {THE SPHERICAL HARMONICS METHOD IN PLANE AND SPHERICALLY SYMMETRIC GEOMETRY IN MULTI-VELOCITY-GROUP THEORY, AND ITS APPLICATION IN THE TWO-VELOCITY-GROUP P$sub 3$ APPROXIMATION},

author = {Mandl, M E},

abstractNote = {The spherical harmonics method is extended to a multi-velocity group theory and is illustrated by application to a two-velocity group theory in P/sub 3/ aporoximation in spherical and in plane symmetrical geometry. The method is applied, in the 2-group P/sub 3/ aporoximation, to finding the critical radius of a spherical core surrounded by a tamper of uniform thickness, and the critical thickness of an infinite slab core with equal thicknesses of tamper on each side. (auth)},

doi = {},

url = {https://www.osti.gov/biblio/4260298},
journal = {},

number = ,

volume = ,

place = {United Kingdom},

year = {1953},

month = {11}

}

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