Z1 and Z2 potentials

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

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 \Phi_{12}(r) = a \frac{e^{\alpha r}}{r^3} \cos (2k_Fr) + b \left( \frac{\sigma}{r} \right)^n + V_0 }

Parameters

The following parameters are taken from Table I

	a	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 \alpha}	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 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}	$V_{0}$
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

See also

• Dzugutov potential
• Glasses
• Atomic and molecular clusters

References

Related reading

• Måns Elenius and Mikhail Dzugutov "Evidence for a liquid-solid critical point in a simple monatomic system", Journal of Chemical Physics 131, 104502 (2009)
• Måns Elenius, Tomas Oppelstrup, and Mikhail Dzugutov "Evidence for a simple monatomic ideal glass former: The thermodynamic glass transition from a stable liquid phase", Journal of Chemical Physics 133 174502 (2010)