<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article  PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article"><front><journal-meta><journal-id journal-id-type="publisher-id">JMP</journal-id><journal-title-group><journal-title>Journal of Modern Physics</journal-title></journal-title-group><issn pub-type="epub">2153-1196</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/jmp.2016.716205</article-id><article-id pub-id-type="publisher-id">JMP-72984</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Physics&amp;Mathematics</subject></subj-group></article-categories><title-group><article-title>
 
 
  Simple Model of Transformation of a Crystal Structures
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>B.</surname><given-names>I. Lev</given-names></name><xref ref-type="aff" rid="aff1"><sub>1</sub></xref></contrib></contrib-group><aff id="aff1"><label>1</label><addr-line>Bogolyubov Institute for Theoretical Physics of the NAS of Ukraine, Kyiv, Ukraine</addr-line></aff><author-notes><corresp id="cor1">* E-mail:</corresp></author-notes><pub-date pub-type="epub"><day>05</day><month>12</month><year>2016</year></pub-date><volume>07</volume><issue>16</issue><fpage>2366</fpage><lpage>2373</lpage><history><date date-type="received"><day>November</day>	<month>13,</month>	<year>2016</year></date><date date-type="rev-recd"><day>Accepted:</day>	<month>December</month>	<year>23,</year>	</date><date date-type="accepted"><day>December</day>	<month>26,</month>	<year>2016</year></date></history><permissions><copyright-statement>&#169; Copyright  2014 by authors and Scientific Research Publishing Inc. </copyright-statement><copyright-year>2014</copyright-year><license><license-p>This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/</license-p></license></permissions><abstract><p>
 
 
   A simple model of the closely packed structure for system of hard-sphere particles interacting via the long-range Newtonian type attraction is suggested. Based on density functional theory, the exact equation of state is obtained and the mutual transformations of the crystal structures in such systems are studied. The description takes into account the fact impossibility of hard-sphere particles which have the same spatial occupation place. 
 
</p></abstract><kwd-group><kwd>Density Functional Theory</kwd><kwd> Transformation of Structures</kwd><kwd> Close-Packing Structure</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>Cite this paper</title><p>Lev, B.I. (2016) Simple Model of Transformation of a Crystal Structures. Journal of Modern Physics, 7, 2366-2373. http://dx.doi.org/10.4236/jmp.2016.716205</p></sec></body><back><ref-list><title>References</title><ref id="scirp.72984-ref1"><label>1</label><mixed-citation publication-type="other" xlink:type="simple">Lev, B.I. and Zhugajevich, Y. (1998) Physical Review E, 57, 6460-6469. https://doi.org/10.1103/PhysRevE.57.6460</mixed-citation></ref><ref id="scirp.72984-ref2"><label>2</label><mixed-citation publication-type="other" xlink:type="simple">Khachaturyan, A.J. (1983) Theory of Structural Transformations in Solids. 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