Z1 and Z2 potentials: Difference between revisions

Latest revision as of 14:13, 2 November 2010

The Z potentials (Z1 and Z2) are given by (Eq. 1 in ^[1])

\Phi _{12}(r)=a{\frac {e^{\alpha r}}{r^{3}}}\cos(2k_{F}r)+b\left({\frac {\sigma }{r}}\right)^{n}+V_{0}

The following parameters are taken from Table I

	a	$\alpha$	Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle k_{F}}	b	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \sigma}	n	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle r_c}	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle V_0}
Z1	1.58	–0.22	4.120	4.2 Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \times 10^8}	0.331	18.0	2.64909	0.04682632
Z2	1.04	0.33	4.139	4.2 Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \times 10^7}	0.348	14.5	2.64488	0.13391543

Related reading

@@ Line 1: / Line 1: @@
-The '''Z potential''' is given by (Eq. 1 in <ref>[http://dx.doi.org/10.1063/1.1534831  Jonathan P. K. Doye, David J. Wales, Fredrik H. M. Zetterling, and Mikhail Dzugutov " The favored cluster structures of model glass formers", Journal of Chemical Physics '''118''' pp. 2792-2799 (2003)]</ref>)
+The '''Z potentials''' ('''Z1''' and '''Z2''') are given by (Eq. 1 in <ref>[http://dx.doi.org/10.1063/1.1534831  Jonathan P. K. Doye, David J. Wales, Fredrik H. M. Zetterling, and Mikhail Dzugutov " The favored cluster structures of model glass formers", Journal of Chemical Physics '''118''' pp. 2792-2799 (2003)]</ref>)
 :<math>\Phi_{12}(r) =  a \frac{e^{\alpha r}}{r^3} \cos (2k_Fr) + b \left( \frac{\sigma}{r} \right)^n + V_0 </math>
 ==Parameters==
+The following parameters are taken from Table I
+{| style="width:65%; height:100px" border="1"
+|-
+|  || a || <math>\alpha</math> || <math>k_F</math> || b || <math>\sigma</math> || n || <math>r_c</math> || <math>V_0</math>
+|-
+| Z1 || 1.58 ||	–0.22 || 4.120 ||4.2 <math>\times 10^8</math>  ||	0.331 ||	18.0 || 2.64909   || 0.04682632
+|-
+| Z2 || 1.04 || 0.33 || 4.139 	|| 4.2 <math>\times 10^7</math> ||	0.348 ||	14.5 ||	2.64488 || 0.13391543
+|}
 ==See also==
 *[[Dzugutov potential]]
@@ Line 14: / Line 23: @@
 [[category: models]]
 [[category: metals]]
+{{numeric}}