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	<updated>2026-04-30T23:37:55Z</updated>
	<subtitle>User contributions</subtitle>
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	<entry>
		<id>http://www.sklogwiki.org/SklogWiki/index.php?title=Silicon&amp;diff=20088</id>
		<title>Silicon</title>
		<link rel="alternate" type="text/html" href="http://www.sklogwiki.org/SklogWiki/index.php?title=Silicon&amp;diff=20088"/>
		<updated>2018-06-09T04:48:45Z</updated>

		<summary type="html">&lt;p&gt;Ddhabal: /* Transport Anomaly */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{Stub-general}}&lt;br /&gt;
&#039;&#039;&#039;Silicon&#039;&#039;&#039; (Si)&lt;br /&gt;
==Models of silicon==&lt;br /&gt;
====Stillinger-Weber model====&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1103/PhysRevB.31.5262      Frank H. Stillinger and Thomas A. Weber &amp;quot;Computer simulation of local order in condensed phases of silicon&amp;quot;, Physical Review B &#039;&#039;&#039;31&#039;&#039;&#039; pp.  5262-5271 (1985)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
====Tersoff potential====&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1103/PhysRevB.37.6991  J. Tersoff &amp;quot;New empirical approach for the structure and energy of covalent systems&amp;quot;, Physical Review B &#039;&#039;&#039;37&#039;&#039;&#039; pp. 6991-7000 (1988)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
====Quantum====&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1103/PhysRevLett.94.095701  M. Kaczmarski, O.N. Bedoya-Martínez, and E.R. Hernández      &amp;quot;Phase Diagram of Silicon from Atomistic Simulations&amp;quot;, Physical Review Letters &#039;&#039;&#039;94&#039;&#039;&#039; p. 095701 (2005)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
==Melting point==&lt;br /&gt;
Yoo et al have calculated the melting point to be &amp;lt;math&amp;gt;T_m \approx1540 \pm 50 ~\mathrm{K}&amp;lt;/math&amp;gt; at zeo pressure&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1016/j.cplett.2009.09.075 Soohaeng Yoo, Sotiris S. Xantheas and Xiao Cheng Zeng &amp;quot;The melting temperature of bulk silicon from ab initio molecular dynamics simulations&amp;quot;, Chemical Physics Letters &#039;&#039;&#039;481&#039;&#039;&#039; pp. 88-90  (2009)]&amp;lt;/ref&amp;gt;. The melting line has also been calculated &amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.4739085  V. S. Dozhdikov, A. Yu. Basharin, and P. R. Levashov &amp;quot;Two-phase simulation of the crystalline silicon melting line at pressures from –1 to 3 GPa&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;137&#039;&#039;&#039; 054502 (2012)]&amp;lt;/ref&amp;gt;.&lt;br /&gt;
==Thermal conductivity==&lt;br /&gt;
[[Thermal conductivity]] (&amp;lt;math&amp;gt;k&amp;lt;/math&amp;gt;) &amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.4767516 P. C. Howell &amp;quot;Comparison of molecular dynamics methods and interatomic potentials for calculating the thermal conductivity of silicon&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;137&#039;&#039;&#039; 224111 (2012)]&amp;lt;/ref&amp;gt;.&lt;br /&gt;
==Transport Anomaly==&lt;br /&gt;
Recent Molecular Dynamics studies by Dhabal et. al. shows that silicon possess transport(Diffusivity Viscosity) anomalies.    &lt;br /&gt;
&amp;lt;ref&amp;gt;[https://doi.org/10.1063/1.4967939 D. Dhabal, C. Chakravarty, V. Molinero and H. Kashyap  &amp;quot;Comparison of liquid state anomalies in Stillinger-Weber models of Water, Silicon and Germanium&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;145&#039;&#039;&#039; 214502 (2016)]&amp;lt;/ref&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
==Polyamorphism in silicon==&lt;br /&gt;
Silicon is a [[Polyamorphic systems | polyamorphic system]].&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1038/35107036 Sudip K. Deb, Martin Wilding, Maddury Somayazulu and Paul F. McMillan &amp;quot;Pressure-induced amorphization and an amorphous–amorphous transition in densified porous silicon&amp;quot;, Nature &#039;&#039;&#039;414&#039;&#039;&#039; pp. 528-530 (2001)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1038/nmat994 Srikanth Sastry and  C. Austen Angell &amp;quot;Liquid–liquid phase transition in supercooled silicon&amp;quot;, Nature Materials &#039;&#039;&#039;2&#039;&#039;&#039; pp. 739 - 743 (2003)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1088/0953-8984/17/15/002  Philippe Beaucage and Normand Mousseau &amp;quot;Liquid–liquid phase transition in Stillinger–Weber silicon&amp;quot;, Jorunal of Physics: Condensed Matter &#039;&#039;&#039;17&#039;&#039;&#039; pp.  2269-2279  (2005)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.2970084 N. Jakse and A. Pasturel &amp;quot;Dynamic aspects of the liquid-liquid phase transformation in silicon&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;129&#039;&#039;&#039; 104503 (2008)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.3663387 K. M. S. Garcez and A. Antonelli &amp;quot;Pressure effects on the transitions between disordered phases in supercooled liquid silicon&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;135&#039;&#039;&#039; 204508 (2011)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.4926655  K. M. S. Garcez and A. Antonelli &amp;quot;Polyamorphism in tetrahedral substances: Similarities between silicon and ice&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;143&#039;&#039;&#039; 034501 (2015)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.4928194  G. Zhao, Y. J. Yu and X. M. Tan &amp;quot;Nature of the first-order liquid-liquid phase transition in supercooled silicon&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;143&#039;&#039;&#039; 054508 (2015)]&amp;lt;/ref&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&amp;lt;references/&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;Related reading&#039;&#039;&#039;&lt;br /&gt;
*[http://dx.doi.org/10.1209/0295-5075/9/7/015  L. Goodwin, A. J. Skinner and D. G. Pettifor &amp;quot;Generating Transferable Tight-Binding Parameters: Application to Silicon&amp;quot;, Europhysics Letters &#039;&#039;&#039;9&#039;&#039;&#039; pp. 701-706 (1989)]&lt;br /&gt;
*[http://dx.doi.org/10.1063/1.3268346 Tianshu Li, Davide Donadio, and Giulia Galli &amp;quot;Nucleation of tetrahedral solids: A molecular dynamics study of supercooled liquid silicon&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;131&#039;&#039;&#039; 224519 (2009)]&lt;br /&gt;
*[http://dx.doi.org/10.1063/1.4779384  Qi Zhang, Qikai Li, and Mo Li &amp;quot;Melting and superheating in solids with volume shrinkage at melting: A molecular dynamics study of silicon&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;138&#039;&#039;&#039; 044504 (2013)]&lt;br /&gt;
*[http://dx.doi.org/10.1063/1.4843415  Samuel Cajahuaringa, Maurice de Koning and Alex Antonelli &amp;quot;Revisiting dynamics near a liquid-liquid phase transition in Si and Ga: The fragile-to-strong transition&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;139&#039;&#039;&#039; 224504 (2013)]&lt;br /&gt;
*[http://dx.doi.org/10.1063/1.4880559  Vishwas V. Vasisht, John Mathew, Shiladitya Sengupta and Srikanth Sastry &amp;quot;Nesting of thermodynamic, structural, and dynamic anomalies in liquid silicon&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;141&#039;&#039;&#039; 124501 (2014)]&lt;br /&gt;
*[http://dx.doi.org/10.1063/1.4921137  M. Mayo, S. Shor, E. Yahel and G. Makov &amp;quot;Short range order in elemental liquids of column IV&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;142&#039;&#039;&#039; 194501 (2015)]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[category: models]]&lt;br /&gt;
[[Category: Polyamorphic systems]]&lt;/div&gt;</summary>
		<author><name>Ddhabal</name></author>
	</entry>
	<entry>
		<id>http://www.sklogwiki.org/SklogWiki/index.php?title=Silicon&amp;diff=20087</id>
		<title>Silicon</title>
		<link rel="alternate" type="text/html" href="http://www.sklogwiki.org/SklogWiki/index.php?title=Silicon&amp;diff=20087"/>
		<updated>2018-06-09T04:46:52Z</updated>

		<summary type="html">&lt;p&gt;Ddhabal: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{Stub-general}}&lt;br /&gt;
&#039;&#039;&#039;Silicon&#039;&#039;&#039; (Si)&lt;br /&gt;
==Models of silicon==&lt;br /&gt;
====Stillinger-Weber model====&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1103/PhysRevB.31.5262      Frank H. Stillinger and Thomas A. Weber &amp;quot;Computer simulation of local order in condensed phases of silicon&amp;quot;, Physical Review B &#039;&#039;&#039;31&#039;&#039;&#039; pp.  5262-5271 (1985)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
====Tersoff potential====&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1103/PhysRevB.37.6991  J. Tersoff &amp;quot;New empirical approach for the structure and energy of covalent systems&amp;quot;, Physical Review B &#039;&#039;&#039;37&#039;&#039;&#039; pp. 6991-7000 (1988)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
====Quantum====&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1103/PhysRevLett.94.095701  M. Kaczmarski, O.N. Bedoya-Martínez, and E.R. Hernández      &amp;quot;Phase Diagram of Silicon from Atomistic Simulations&amp;quot;, Physical Review Letters &#039;&#039;&#039;94&#039;&#039;&#039; p. 095701 (2005)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
==Melting point==&lt;br /&gt;
Yoo et al have calculated the melting point to be &amp;lt;math&amp;gt;T_m \approx1540 \pm 50 ~\mathrm{K}&amp;lt;/math&amp;gt; at zeo pressure&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1016/j.cplett.2009.09.075 Soohaeng Yoo, Sotiris S. Xantheas and Xiao Cheng Zeng &amp;quot;The melting temperature of bulk silicon from ab initio molecular dynamics simulations&amp;quot;, Chemical Physics Letters &#039;&#039;&#039;481&#039;&#039;&#039; pp. 88-90  (2009)]&amp;lt;/ref&amp;gt;. The melting line has also been calculated &amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.4739085  V. S. Dozhdikov, A. Yu. Basharin, and P. R. Levashov &amp;quot;Two-phase simulation of the crystalline silicon melting line at pressures from –1 to 3 GPa&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;137&#039;&#039;&#039; 054502 (2012)]&amp;lt;/ref&amp;gt;.&lt;br /&gt;
==Thermal conductivity==&lt;br /&gt;
[[Thermal conductivity]] (&amp;lt;math&amp;gt;k&amp;lt;/math&amp;gt;) &amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.4767516 P. C. Howell &amp;quot;Comparison of molecular dynamics methods and interatomic potentials for calculating the thermal conductivity of silicon&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;137&#039;&#039;&#039; 224111 (2012)]&amp;lt;/ref&amp;gt;.&lt;br /&gt;
==Transport Anomaly==&lt;br /&gt;
Recent Molecular Dynamics studies by Dhabal et. al. shows that silicon possess transport(Diffusivity Viscosity) anomalies.    &lt;br /&gt;
[[Transport Anomaly]] (&amp;lt;math&amp;gt;k&amp;lt;/math&amp;gt;) &amp;lt;ref&amp;gt;[https://doi.org/10.1063/1.4967939 D. Dhabal, C. Chakravarty, V. Molinero and H. Kashyap  &amp;quot;Comparison of liquid state anomalies in Stillinger-Weber models of Water, Silicon and Germanium&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;145&#039;&#039;&#039; 214502 (2016)]&amp;lt;/ref&amp;gt;.&lt;br /&gt;
==Polyamorphism in silicon==&lt;br /&gt;
Silicon is a [[Polyamorphic systems | polyamorphic system]].&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1038/35107036 Sudip K. Deb, Martin Wilding, Maddury Somayazulu and Paul F. McMillan &amp;quot;Pressure-induced amorphization and an amorphous–amorphous transition in densified porous silicon&amp;quot;, Nature &#039;&#039;&#039;414&#039;&#039;&#039; pp. 528-530 (2001)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1038/nmat994 Srikanth Sastry and  C. Austen Angell &amp;quot;Liquid–liquid phase transition in supercooled silicon&amp;quot;, Nature Materials &#039;&#039;&#039;2&#039;&#039;&#039; pp. 739 - 743 (2003)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1088/0953-8984/17/15/002  Philippe Beaucage and Normand Mousseau &amp;quot;Liquid–liquid phase transition in Stillinger–Weber silicon&amp;quot;, Jorunal of Physics: Condensed Matter &#039;&#039;&#039;17&#039;&#039;&#039; pp.  2269-2279  (2005)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.2970084 N. Jakse and A. Pasturel &amp;quot;Dynamic aspects of the liquid-liquid phase transformation in silicon&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;129&#039;&#039;&#039; 104503 (2008)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.3663387 K. M. S. Garcez and A. Antonelli &amp;quot;Pressure effects on the transitions between disordered phases in supercooled liquid silicon&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;135&#039;&#039;&#039; 204508 (2011)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.4926655  K. M. S. Garcez and A. Antonelli &amp;quot;Polyamorphism in tetrahedral substances: Similarities between silicon and ice&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;143&#039;&#039;&#039; 034501 (2015)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.4928194  G. Zhao, Y. J. Yu and X. M. Tan &amp;quot;Nature of the first-order liquid-liquid phase transition in supercooled silicon&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;143&#039;&#039;&#039; 054508 (2015)]&amp;lt;/ref&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&amp;lt;references/&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;Related reading&#039;&#039;&#039;&lt;br /&gt;
*[http://dx.doi.org/10.1209/0295-5075/9/7/015  L. Goodwin, A. J. Skinner and D. G. Pettifor &amp;quot;Generating Transferable Tight-Binding Parameters: Application to Silicon&amp;quot;, Europhysics Letters &#039;&#039;&#039;9&#039;&#039;&#039; pp. 701-706 (1989)]&lt;br /&gt;
*[http://dx.doi.org/10.1063/1.3268346 Tianshu Li, Davide Donadio, and Giulia Galli &amp;quot;Nucleation of tetrahedral solids: A molecular dynamics study of supercooled liquid silicon&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;131&#039;&#039;&#039; 224519 (2009)]&lt;br /&gt;
*[http://dx.doi.org/10.1063/1.4779384  Qi Zhang, Qikai Li, and Mo Li &amp;quot;Melting and superheating in solids with volume shrinkage at melting: A molecular dynamics study of silicon&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;138&#039;&#039;&#039; 044504 (2013)]&lt;br /&gt;
*[http://dx.doi.org/10.1063/1.4843415  Samuel Cajahuaringa, Maurice de Koning and Alex Antonelli &amp;quot;Revisiting dynamics near a liquid-liquid phase transition in Si and Ga: The fragile-to-strong transition&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;139&#039;&#039;&#039; 224504 (2013)]&lt;br /&gt;
*[http://dx.doi.org/10.1063/1.4880559  Vishwas V. Vasisht, John Mathew, Shiladitya Sengupta and Srikanth Sastry &amp;quot;Nesting of thermodynamic, structural, and dynamic anomalies in liquid silicon&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;141&#039;&#039;&#039; 124501 (2014)]&lt;br /&gt;
*[http://dx.doi.org/10.1063/1.4921137  M. Mayo, S. Shor, E. Yahel and G. Makov &amp;quot;Short range order in elemental liquids of column IV&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;142&#039;&#039;&#039; 194501 (2015)]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[category: models]]&lt;br /&gt;
[[Category: Polyamorphic systems]]&lt;/div&gt;</summary>
		<author><name>Ddhabal</name></author>
	</entry>
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