Interpolation formulas for quantities related to radiative energy-loss of electrons

Autor: Rinsuke Ito, Tatsuo Tabata
Rok vydání: 1977
Předmět:
Zdroj: Nuclear Instruments and Methods. 146:435-438
ISSN: 0029-554X
DOI: 10.1016/0029-554x(77)90730-3
Popis: An interpolation formula is given for the quantity Φ rad / Φ that is proportional to the radiative energy-loss divided by the total energy of the incident electron. Errors caused by the formular have been checked for three sets of values of Φ rad / Φ , which have been computed by Berger and Seltzer whith different empirical corrections to reduce Born-approximation errors. Incident energies from 1 keV to 1000 MeV and atomic numbers of material from 1 to 92 have been considered. Values of six parameters in the formula have been determined by using Tchebyschev's criterion of approximation, and the maximum error has been found to be less than 1.9% for the intermediate set with Aiginger-Rester correction as well as for the no-correction set. A table of parameters in the case of the Aiginger-Rester set is provided for 59 elements. An interpolation formula for the Aiginger-Rester correction factor is also given.
Databáze: OpenAIRE