# Probability distributions for the breakdown voltage between closely spaced electrodes on insulating surfaces

## Abstract

Probability distributions for the breakdown voltage between closely spaced electrodes (roughly-equal10 mils) on insulating surfaces are studied with results from a Monte-Carlo simulation. The probability distributions, experimentally measured to be bimodal under certain conditions, are found to be characterized by the number of ionizations per primary electron emitted at the triple junction that is required to initiate the electron avalanche. Bimodal distributions represent a transition region between low variance and high variance normal distributions requiring low and high multiplication coefficients, respectively, for the avalanche to occur. Conditions of moderate preionization and low electron loss rates to the insulating surface (e.g., large secondary electron coefficient) are found to lower the breakdown voltage and reduce bimodal distributions to single normal distributions.

- Authors:

- Publication Date:

- Research Org.:
- Lawrence Livermore National Laboratory, University of California, P. O. Box 808, Livermore, California 94550

- OSTI Identifier:
- 6717008

- Alternate Identifier(s):
- OSTI ID: 6717008

- Resource Type:
- Journal Article

- Journal Name:
- J. Appl. Phys.; (United States)

- Additional Journal Information:
- Journal Volume: 53:10

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 42 ENGINEERING; ELECTRODES; BREAKDOWN; ELECTRIC POTENTIAL; ELECTRICAL INSULATION; ELECTRONS; GEOMETRY; IONIZATION; MATHEMATICAL MODELS; MONTE CARLO METHOD; PROBABILITY; SECONDARY EMISSION; SIMULATION; SURFACES; ELEMENTARY PARTICLES; EMISSION; FERMIONS; LEPTONS; MATHEMATICS 420800* -- Engineering-- Electronic Circuits & Devices-- (-1989)

### Citation Formats

```
Kushner, M.J.
```*Probability distributions for the breakdown voltage between closely spaced electrodes on insulating surfaces*. United States: N. p., 1982.
Web. doi:10.1063/1.330058.

```
Kushner, M.J.
```*Probability distributions for the breakdown voltage between closely spaced electrodes on insulating surfaces*. United States. doi:10.1063/1.330058.

```
Kushner, M.J. Fri .
"Probability distributions for the breakdown voltage between closely spaced electrodes on insulating surfaces". United States. doi:10.1063/1.330058.
```

```
@article{osti_6717008,
```

title = {Probability distributions for the breakdown voltage between closely spaced electrodes on insulating surfaces},

author = {Kushner, M.J.},

abstractNote = {Probability distributions for the breakdown voltage between closely spaced electrodes (roughly-equal10 mils) on insulating surfaces are studied with results from a Monte-Carlo simulation. The probability distributions, experimentally measured to be bimodal under certain conditions, are found to be characterized by the number of ionizations per primary electron emitted at the triple junction that is required to initiate the electron avalanche. Bimodal distributions represent a transition region between low variance and high variance normal distributions requiring low and high multiplication coefficients, respectively, for the avalanche to occur. Conditions of moderate preionization and low electron loss rates to the insulating surface (e.g., large secondary electron coefficient) are found to lower the breakdown voltage and reduce bimodal distributions to single normal distributions.},

doi = {10.1063/1.330058},

journal = {J. Appl. Phys.; (United States)},

number = ,

volume = 53:10,

place = {United States},

year = {1982},

month = {10}

}