# THE SPHERICAL-HARMONIC METHOD AND ITS APPLICATION TO ONE VELOCITY NEUTRON PROBLEMS

## Abstract

A form of the spherical-harmonic method is shown to solve the one- velocity Boltzmann equation in plane or spherical cases to any desired degree of accuracy. Graphs are presented which show the radii of the U/sup 235/ and Pu/sup 239/ cores surrounded by infinite tampers for a wide range of multiplication numbers and rrtios of tamper cross sections to core cross sections. (R.V.J.)

- Authors:

- Publication Date:

- Research Org.:
- Los Alamos Scientific Lab., N. Mex.

- OSTI Identifier:
- 4183459

- Report Number(s):
- LA-174

- NSA Number:
- NSA-14-016071

- DOE Contract Number:
- W-7405-ENG-36

- Resource Type:
- Technical Report

- Resource Relation:
- Other Information: Decl. Apr. 27, 1960. Orig. Receipt Date: 31-DEC-60

- Country of Publication:
- United States

- Language:
- English

- Subject:
- PHYSICS; BOLTZMANN EQUATION; CONFIGURATION; CROSS SECTIONS; DIFFERENTIAL EQUATIONS; MATHEMATICS; NEUTRONS; PLUTONIUM 239; REACTOR CORE; SPHERES; URANIUM 235; VELOCITY

### Citation Formats

```
Glauber, R J.
```*THE SPHERICAL-HARMONIC METHOD AND ITS APPLICATION TO ONE VELOCITY NEUTRON PROBLEMS*. United States: N. p., 1944.
Web.

```
Glauber, R J.
```*THE SPHERICAL-HARMONIC METHOD AND ITS APPLICATION TO ONE VELOCITY NEUTRON PROBLEMS*. United States.

```
Glauber, R J. Sat .
"THE SPHERICAL-HARMONIC METHOD AND ITS APPLICATION TO ONE VELOCITY NEUTRON PROBLEMS". United States.
```

```
@article{osti_4183459,
```

title = {THE SPHERICAL-HARMONIC METHOD AND ITS APPLICATION TO ONE VELOCITY NEUTRON PROBLEMS},

author = {Glauber, R J},

abstractNote = {A form of the spherical-harmonic method is shown to solve the one- velocity Boltzmann equation in plane or spherical cases to any desired degree of accuracy. Graphs are presented which show the radii of the U/sup 235/ and Pu/sup 239/ cores surrounded by infinite tampers for a wide range of multiplication numbers and rrtios of tamper cross sections to core cross sections. (R.V.J.)},

doi = {},

url = {https://www.osti.gov/biblio/4183459},
journal = {},

number = ,

volume = ,

place = {United States},

year = {1944},

month = {11}

}

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