# P{sub 3} upscattering integrals for the effective temperature model for hydrogen

## Abstract

Accurate representation of the epithermal flux rise in water-moderated lattices requires the treatment of thermalization effects above the thermal cutpoint (typically 0.625 eV). These thermalization effects may be accurately represented by treating hydrogen bound in water as a mass-one free gas at an effective temperature, T{sup *} = kT{sub e}, and treating upscattering as scattering without energy change. Typical values of T{sup *} are 0.120 eV for room temperature water and 0.129 eV for 300 C water. The author proposes an algorithm for accurately calculating the P{sub 3} moments of the upscattering integral.

- Authors:

- Bettis Atomic Power Lab., West Mifflin, PA (United States)

- Publication Date:

- OSTI Identifier:
- 678159

- Report Number(s):
- CONF-990605-

Journal ID: TANSAO; ISSN 0003-018X; TRN: 99:009144

- Resource Type:
- Journal Article

- Journal Name:
- Transactions of the American Nuclear Society

- Additional Journal Information:
- Journal Volume: 80; Conference: 1999 annual meeting of the American Nuclear Society (ANS), Boston, MA (United States), 6-10 Jun 1999; Other Information: PBD: 1999

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 66 PHYSICS; 22 NUCLEAR REACTOR TECHNOLOGY; MODERATORS; THERMALIZATION; NEUTRON TRANSPORT; HYDROGEN; EPITHERMAL NEUTRONS; SCATTERING; ALGORITHMS; P3-APPROXIMATION; ANALYTICAL SOLUTION; REACTOR KINETICS

### Citation Formats

```
Zerkle, M.L.
```*P{sub 3} upscattering integrals for the effective temperature model for hydrogen*. United States: N. p., 1999.
Web.

```
Zerkle, M.L.
```*P{sub 3} upscattering integrals for the effective temperature model for hydrogen*. United States.

```
Zerkle, M.L. Wed .
"P{sub 3} upscattering integrals for the effective temperature model for hydrogen". United States.
```

```
@article{osti_678159,
```

title = {P{sub 3} upscattering integrals for the effective temperature model for hydrogen},

author = {Zerkle, M.L.},

abstractNote = {Accurate representation of the epithermal flux rise in water-moderated lattices requires the treatment of thermalization effects above the thermal cutpoint (typically 0.625 eV). These thermalization effects may be accurately represented by treating hydrogen bound in water as a mass-one free gas at an effective temperature, T{sup *} = kT{sub e}, and treating upscattering as scattering without energy change. Typical values of T{sup *} are 0.120 eV for room temperature water and 0.129 eV for 300 C water. The author proposes an algorithm for accurately calculating the P{sub 3} moments of the upscattering integral.},

doi = {},

journal = {Transactions of the American Nuclear Society},

number = ,

volume = 80,

place = {United States},

year = {1999},

month = {9}

}

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