In this paper, Buckingham's theorem on physically similar systems is applied for the first time to the derivation of interpolation curves of numerical data. A simplified dependence of the curves on a limited number of effective dimensionless parameters is found by a novel approach. In particular, the method is applied to Monte Carlo modelling and the calculation is considered of the backscattering coefficient η from a general substrate in the elastic regime. A single dimensionless backscattering parameter is introduced and a simple scaling law is determined, indicating how the configuration of the many variables involved can eventually change without affecting the result. The validity of the law is demonstrated in the 5 to 100 keV energy range, with substrate thicknesses ranging from 10 to 21000A °and for all the substrates of the periodic table.

A single quality factor for electron backscattering from thin films

SANTANGELO, Saveria;
1995

Abstract

In this paper, Buckingham's theorem on physically similar systems is applied for the first time to the derivation of interpolation curves of numerical data. A simplified dependence of the curves on a limited number of effective dimensionless parameters is found by a novel approach. In particular, the method is applied to Monte Carlo modelling and the calculation is considered of the backscattering coefficient η from a general substrate in the elastic regime. A single dimensionless backscattering parameter is introduced and a simple scaling law is determined, indicating how the configuration of the many variables involved can eventually change without affecting the result. The validity of the law is demonstrated in the 5 to 100 keV energy range, with substrate thicknesses ranging from 10 to 21000A °and for all the substrates of the periodic table.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.12318/4421
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 1
  • ???jsp.display-item.citation.isi??? 1
social impact