Edwin Quashie edited untitled.tex  over 8 years ago

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\textbf{Abstract}   In this work we used The  time-dependent density functional theory coupled with molecular dynamics is used  to study electronic excitations produced by energetic protons ($\mathrm{H^+}$) in Cu over a wide range of proton velocities. We particularly used a A  plane-wave pseudopotential scheme is employed  to solve the time-dependent Kohn-Sham equations for $\mathrm{H^+}$ projectile in crystalline copper. and Cu crystal.  These electronic excitations phenomenon is phenomena are  used to studythe  interatomic forces and electronic stopping powers due to both  channeling and off-channeling trajectories [IS THERE OFFCHANELLING?]. Our results are in good agreement with SRIM (Stopping and Range of Ions in Matter) prediction. predictions.  Also these results unveil new effects of lower velocities velocity  dependence on copper crystalline band structure. %You can get started by \textbf{double clicking} this text block and begin editing. You can also click the \textbf{Insert} button below to add new block elements. Or you can \textbf{drag and drop an image} right onto this text. Happy writing!