# Fourier Method for Calculating Fission Chain Neutron Multiplicity Distributions

## Abstract

Here, a new way of utilizing the fast Fourier transform is developed to compute the probability distribution for a fission chain to create n neutrons. We then extend this technique to compute the probability distributions for detecting n neutrons. Lastly, our technique can be used for fission chains initiated by either a single neutron inducing a fission or by the spontaneous fission of another isotope.

- Authors:

- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

- Publication Date:

- Research Org.:
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1408081

- Report Number(s):
- LLNL-JRNL-668317

Journal ID: ISSN 0029-5639

- Grant/Contract Number:
- AC52-07NA27344

- Resource Type:
- Journal Article: Accepted Manuscript

- Journal Name:
- Nuclear Science and Engineering

- Additional Journal Information:
- Journal Volume: 184; Journal Issue: 2; Journal ID: ISSN 0029-5639

- Publisher:
- American Nuclear Society - Taylor & Francis

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

### Citation Formats

```
Chambers, David H., Chandrasekaran, Hema, and Walston, Sean E.
```*Fourier Method for Calculating Fission Chain Neutron Multiplicity Distributions*. United States: N. p., 2017.
Web. doi:10.13182/NSE15-109.

```
Chambers, David H., Chandrasekaran, Hema, & Walston, Sean E.
```*Fourier Method for Calculating Fission Chain Neutron Multiplicity Distributions*. United States. doi:10.13182/NSE15-109.

```
Chambers, David H., Chandrasekaran, Hema, and Walston, Sean E. Mon .
"Fourier Method for Calculating Fission Chain Neutron Multiplicity Distributions". United States.
doi:10.13182/NSE15-109. https://www.osti.gov/servlets/purl/1408081.
```

```
@article{osti_1408081,
```

title = {Fourier Method for Calculating Fission Chain Neutron Multiplicity Distributions},

author = {Chambers, David H. and Chandrasekaran, Hema and Walston, Sean E.},

abstractNote = {Here, a new way of utilizing the fast Fourier transform is developed to compute the probability distribution for a fission chain to create n neutrons. We then extend this technique to compute the probability distributions for detecting n neutrons. Lastly, our technique can be used for fission chains initiated by either a single neutron inducing a fission or by the spontaneous fission of another isotope.},

doi = {10.13182/NSE15-109},

journal = {Nuclear Science and Engineering},

number = 2,

volume = 184,

place = {United States},

year = {Mon Mar 27 00:00:00 EDT 2017},

month = {Mon Mar 27 00:00:00 EDT 2017}

}

Other availability

Cited by: 3 works

*Citation information provided by*

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