# A simple approximation of the fermi function in nuclear beta decay

## Abstract

An analytic approximation of the Fermi function F(Z,E) is proposed. The formula is applicable over a wide range of atomic numbers, Z, and of electron energies, E. It is sufficiently accurate and simple to use. An example shows how to employ the approximation in analysis of the complex beta decay schemes encountered among the short-lived fission fragments.

- Authors:

- Publication Date:

- Research Org.:
- California Institute of Technology, Norman Bridge Laboratory of Physics, 161-33 Pasadena, California 91125

- OSTI Identifier:
- 5307377

- Resource Type:
- Journal Article

- Journal Name:
- Nucl. Sci. Eng.; (United States)

- Additional Journal Information:
- Journal Volume: 83:3

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; BETA DECAY; FERMI PLOT; CALCULATION METHODS; ACCURACY; ATOMIC NUMBER; ELECTRONS; FISSION; FUNCTIONS; DECAY; DIAGRAMS; ELEMENTARY PARTICLES; FERMIONS; LEPTONS; NUCLEAR REACTIONS; 653005* - Nuclear Theory- Radioactive Decay

### Citation Formats

```
Schenter, G K, and Vogel, P.
```*A simple approximation of the fermi function in nuclear beta decay*. United States: N. p., 1983.
Web.

```
Schenter, G K, & Vogel, P.
```*A simple approximation of the fermi function in nuclear beta decay*. United States.

```
Schenter, G K, and Vogel, P. Tue .
"A simple approximation of the fermi function in nuclear beta decay". United States.
```

```
@article{osti_5307377,
```

title = {A simple approximation of the fermi function in nuclear beta decay},

author = {Schenter, G K and Vogel, P},

abstractNote = {An analytic approximation of the Fermi function F(Z,E) is proposed. The formula is applicable over a wide range of atomic numbers, Z, and of electron energies, E. It is sufficiently accurate and simple to use. An example shows how to employ the approximation in analysis of the complex beta decay schemes encountered among the short-lived fission fragments.},

doi = {},

url = {https://www.osti.gov/biblio/5307377},
journal = {Nucl. Sci. Eng.; (United States)},

number = ,

volume = 83:3,

place = {United States},

year = {1983},

month = {3}

}

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