Modeling the heavy ion upset cross section
- Sandia National Laboratories, Albuquerque, NM (United States)
- Air Force Phillips Laboratory, Albuquerque, NM (United States)
- Univ. of New Mexico, Albuquerque, NM (United States)
The standard Rectangular Parallelepiped (RPP) construct is used to derive a closed form expression for, {bar {sigma}}({theta},{phi},L) the directional-spectral heavy ion upset cross section. This is an expected value model obtained by integrating the point-value cross section model, {sigma}({theta},{phi},L,E), also developed here, with the Weibull density function, f(E), assumed to govern the stochastic behavior of the upset threshold energy, E. A comparison of {bar {sigma}}({theta},{phi},L) with experimental data show good agreement, lending strong credibility to the hypothesis that E-randomness is responsible for the shape of the upset cross section curve. The expected value model is used as the basis for a new, rigorous mathematical formulation of the effective cross section concept. The generalized formulation unifies previous corrections to the inverse cosine scaling, collapsing to Petersen`s correction, [cos{theta} {minus} (h/l)sin{theta}]{sup {minus}1}, near threshold and Sexton`s, [cos{theta} + (h/l)sin{theta}]{sup {minus}1}, near saturation. The expected value cross section model therefore has useful applications in both upset rate prediction and test data analysis.
- OSTI ID:
- 64621
- Journal Information:
- IEEE Transactions on Nuclear Science, Journal Name: IEEE Transactions on Nuclear Science Journal Issue: 2 Vol. 42; ISSN IETNAE; ISSN 0018-9499
- Country of Publication:
- United States
- Language:
- English
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