Carnahan-Starling equation of state

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The equation of Carnahan-Starling is an approximate equation of state for the fluid phase of the Hard Sphere model in three dimensions. (Eqn. 10 in Ref 1).

where:

  • is the pressure
  • is the volume
  • is the number of particles
  • is the Boltzmann constant
  • is the absolute temperature
  • is the packing fraction:
  • is the Hard Sphere diameter.

References

  1. N. F.Carnahan and K. E.Starling,"Equation of State for Nonattracting Rigid Spheres" J. Chem. Phys. 51 , 635-636 (1969)