scholarly journals Shifting the Phase of a Coherent Beam with a $$ {}^{\mathbf{174}}{\mathbf{Yb}}^{+} $$ Ion: Influence of the Scattering Cross Section

2018 ◽  
pp. 389-400
Author(s):  
Martin Fischer ◽  
Bharath Srivathsan ◽  
Lucas Alber ◽  
Markus Weber ◽  
Markus Sondermann ◽  
...  
Keyword(s):  
Cross Section ◽  
Coherent Beam ◽  
Scattering Cross Section ◽  
Scattering Cross

scholarly journals Shifting the phase of a coherent beam with a $$^{174}\hbox {Yb}^+$$ 174 Yb + ion: influence of the scattering cross section

2017 ◽  
Vol 123 (1) ◽  
Author(s):  
Martin Fischer ◽  
Bharath Srivathsan ◽  
Lucas Alber ◽  
Markus Weber ◽  
Markus Sondermann ◽  
...  
Keyword(s):  
Cross Section ◽  
Coherent Beam ◽  
Scattering Cross Section ◽  
Scattering Cross

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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