# 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 , relative to the hard-sphere value , as a function of the reduced temperature . The value of the Boyle temperature (at which ) is also calculated. You can control the temperature range of the plot in units of the Boyle temperature.

(2n-n)

ϕ(r)=4ϵ-

σ

r

2n

σ

r

n

-ϵ

σ

n

n=6

n

B(T)

2

B=πσ

HS

2

2

3

3

kT/ϵ

B

T

Boyle

B=0

2

T

max