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Chinese Physics, 2002, Vol. 11(4): 389-392    DOI: 10.1088/1009-1963/11/4/314
CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES Prev   Next  

On the differentiability of depth distribution function of deposited energy, momentum and ion range - a reply to Dr G. Glazov 

Zhang Zhu-Lin (张竹林)
Department of Mathematics and Physics, Huainan Institute of Technology, Huainan, China
Abstract  Based on the translational invariance of a medium, a new theorem has been proposed and proved rigorously: the depth distributions of the deposited energy, momentum and ion range must be infinitely differentiable functions in amorphous or polycrystalline infinite targets by ion bombardment, if these functions exist. The origin of the "discontinuity", derived by Dr Glazov in 1995 in J. Phys.: Condens. Matter 7 6365, has been analysed in detail. For the power cross section, neglecting electronic stopping, the linear transport equations determining the depth distribution functions of the deposited energy and momentum (by taking the threshold energy into account) have been solved asymptotically. An important formula derived by Dr Glazov has been confirmed and generalized. The results agree with the new theorem.
Keywords:  Radiation damage      momentum deposition      ion implantation  
Received:  29 September 2001      Revised:  03 December 2001      Accepted manuscript online: 
PACS:  61.80.Jh (Ion radiation effects)  
  79.20.Rf (Atomic, molecular, and ion beam impact and interactions with surfaces)  
Fund: Project supported in part by the Scientific Research Fund from the Educational Bureau of Anhui Province, China, (Grant No 2001kj226).

Cite this article: 

Zhang Zhu-Lin (张竹林) On the differentiability of depth distribution function of deposited energy, momentum and ion range - a reply to Dr G. Glazov  2002 Chinese Physics 11 389

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