scholarly journals Energy transfer in elastic collisions between electrons and trapped ions

2018 ◽  
Vol 25 (10) ◽  
pp. 102114 ◽  
Author(s):  
Łukasz Kłosowski ◽  
Mariusz Piwiński
Keyword(s):  
Energy Transfer ◽  
Trapped Ions ◽  
Elastic Collisions

scholarly journals Impedance of rigid bodies in one-dimensional elastic collisions

2012 ◽  
Vol 34 (1) ◽  
Author(s):  
Janilo Santos ◽  
Bruna P.W. de Oliveira ◽  
Osman Rosso Nelson
Keyword(s):  
Energy Transfer ◽  
Impedance Matching ◽  
Maximum Energy ◽  
Rigid Bodies ◽  
Energy Transmission ◽  
Elastic Collisions ◽  
One Dimensional ◽  
Oscillatory Systems ◽  
System Of Rigid Bodies

In this work we study the problem of one-dimensional elastic collisions of billiard balls, considered as rigid bodies, in a framework very different from the classical one presented in text books. Implementing the notion of impedance matching as a way to understand efficiency of energy transmission in elastic collisions, we find a solution which frames the problem in terms of this conception. We show that the mass of the ball can be seen as a measure of its impedance and verify that the problem of maximum energy transfer in elastic collisions can be thought of as a problem of impedance matching between different media. This approach extends the concept of impedance, usually associated with oscillatory systems, to system of rigid bodies.

A quantitative approach to inner shell losses

1978 ◽  
Vol 36 (1) ◽  
pp. 526-527 ◽  
Author(s):  
R.D. Leapman ◽  
P. Rez ◽  
D.F. Mayers
Keyword(s):  
Energy Transfer ◽  
Cross Section ◽  
Cross Sections ◽  
Accurate Determination ◽  
Background Intensity ◽  
Core Excitation ◽  
Quantitative Basis ◽  
Cross Section Differential ◽  
Bound Electrons

Microanalysis by EELS has been developing rapidly and though the general form of the spectrum is now understood there is a need to put the technique on a more quantitative basis (1,2). Certain aspects important for microanalysis include: (i) accurate determination of the partial cross sections, σx(α,ΔE) for core excitation when scattering lies inside collection angle a and energy range ΔE above the edge, (ii) behavior of the background intensity due to excitation of less strongly bound electrons, necessary for extrapolation beneath the signal of interest, (iii) departures from the simple hydrogenic K-edge seen in L and M losses, effecting σx and complicating microanalysis. Such problems might be approached empirically but here we describe how computation can elucidate the spectrum shape.The inelastic cross section differential with respect to energy transfer E and momentum transfer q for electrons of energy E0 and velocity v can be written as

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