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Edwin Quashie edited section_Introduction_The_study_of__.tex
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In recent times, the development of time-dependent methods have enhanced the diverse study of many body problems involving the slowing down of charged particles either in matters or gases[ref.] The time dependent density functional theory (TDDFT) on the other hand has enjoyed much consideration owing to its electron dynamics both self-consistency and non-perturbative way. [put more paper references here].
This paper involves an application of Most recently Correa et al [Ref] have reported the
TDDFT role of radiation damage in ion-solid interactions. They have shown that
embodies a plane-wave basis set for representing the
electron dynamics(put prl, 39,40) accurately for proton impact collisions on electronic excitations due to molecular dynamics are quite different from the adiabatic outcome. The inclusion of non adiabatic effects in real calculations remains a
copper surface. We challenging problem even today. In 1994 Schleife et al have
tested calculated [Ref.] the
strength electronic stopping by H and He projectile including non-adiabatic interactions employing first principles descriptions. TIt was observed that role of
this off-channeling trajectories enhances the agreement with the experimental results. Using a quantal method
to evaluate based on TDDFT, Quijada et al [Ref.] have studied the
electronic energy loss of protons anf anti-protons moving inside metalic Al and obtained good results for the projectile-target energy transfer over a wider energy range. Recently Haque et al [REF.} have calculated stopping
$\mathrm(S_e)$. Our findings are compared cross sections for various media with
those due atomic number Z=2 to
stopping 100 using realistic electron density with four fitted parameters and
range of ions obtained close agreement (~15\%) with the SRIM data. However, their parametrized model, explains the projectile energy loss in
matter (SRIM) as well as available experimental values. various stopping media reasonably well.
We report here an application of the TDDFT that embodies a plane-wave basis set that represent accurately the electron dynamics(put prl, 39,40) for proton impact collision of Cu surface. We have tested the strength of this method to evaluate the electronic stopping $\mathrm(S_e)$. Our findings are compared with those due to stopping and range of ions in matter (SRIM) as well as available experimental values.