Second Virial Coefficients for the Lennard-Jones (2n-n) Potential
Second Virial Coefficients for the Lennard-Jones (2n-n) Potential
The Lennard–Jones interaction potential is defined as , where is the minimum, is the distance at which the potential changes sign, and is an exponent that defines the shape of the potential. The conventional Lennard–Jones potential uses . In this Demonstration, you can control the exponent to plot the second virial coefficient (T), relative to the hard-sphere value =π, as a function of the reduced temperature T/ϵ. The value of the Boyle temperature (at which =0) is also calculated. You can control the temperature range of the plot in units of the Boyle temperature.
(2n-n)
ϕ(r)=4ϵ-
2n
σ
r
n
σ
r
-ϵ
σ
n
n=6
n
B
2
HS
B
2
2
3
3
σ
k
B
T
Boyle
B
2
T
max