Calculations of Mott scattering cross section

1990 ◽  
Vol 68 (7) ◽  
pp. 3066-3072 ◽  
Author(s):  
Zbigniew Czyżewski ◽  
Danny O’Neill MacCallum ◽  
Alton Romig ◽  
David C. Joy
Keyword(s):  
Cross Section ◽  
Scattering Cross Section ◽  
Scattering Cross ◽  
Mott Scattering

A New Parametrization of Mott Scattering Cross Section for Monte Carlo Simulation

2000 ◽  
Vol 6 (S2) ◽  
pp. 926-927
Author(s):  
Hendrix Demers ◽  
Raynald Gauvin
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Cross Section ◽  
Polar Angle ◽  
Scattering Cross Section ◽  
Scattering Cross ◽  
Screening Parameter ◽  
Electron Microscopes ◽  
Image Position ◽  
Mott Scattering

In the recent years the Monte-Carlo simulation has been used successfully to exploit and understand fully the capabilities of electron microscopes. In this paper, we propose a new parametrization of Mott scattering cross-section for the calculation of the total cross-section as well as the polar angle of collision. This parametrization gives better results than Rutherford cross-section for Monte Carlo simulation at low beam energy without the numerous data files needed to use the exact Mott cross-section.The calculation of elastic scattering cross-section can be performed with the Rutherford equation using the screening parameter, δ, the energy of the incident electron, and the electron wavelength, differential cross-section is given by:

Mass Determination by Direct Measurement of Electron Scattering

1975 ◽  
Vol 33 ◽  
pp. 240-241
Author(s):  
M. K. Lamvik ◽  
A. V. Crewe
Keyword(s):  
Cross Section ◽  
Electron Scattering ◽  
Mass Density ◽  
Variable Mass ◽  
Scattering Cross Section ◽  
Mass Determination ◽  
Number Density ◽  
Cross Sectional ◽  
Thin Slice ◽  
Scattering Cross

If a molecule or atom of material has molecular weight A, the number density of such units is given by n=Nρ/A, where N is Avogadro's number and ρ is the mass density of the material. The amount of scattering from each unit can be written by assigning an imaginary cross-sectional area σ to each unit. If the current I0 is incident on a thin slice of material of thickness z and the current I remains unscattered, then the scattering cross-section σ is defined by I=IOnσz. For a specimen that is not thin, the definition must be applied to each imaginary thin slice and the result I/I0 =exp(-nσz) is obtained by integrating over the whole thickness. It is useful to separate the variable mass-thickness w=ρz from the other factors to yield I/I0 =exp(-sw), where s=Nσ/A is the scattering cross-section per unit mass.

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