Mutual Intersection Points of Reduced Collision Integrals for Lennard–Jones (n-m), Hulburt–Hirschfelder, and Tang–Toennies Potential Energy Functions

Abstract

AbstractWe investigate the reduced collision integrals $$\Omega ^{(\ell ,s)*}(T^*)$$ Ω ( ℓ , s ) ∗ ( T ∗ ) for $$1 \le \ell \le 4$$ 1 ≤ ℓ ≤ 4 , $$\ell \le s \le 7$$ ℓ ≤ s ≤ 7 and $$\ell + s \le 8$$ ℓ + s ≤ 8 for several isotropic potential energy functions: the Lennard–Jones $$(n-m)$$ ( n - m ) , the Hulburt–Hirschfelder, and Tang–Toennies potential. It is observed that for a given $$\ell$$ ℓ and s, $$\Omega ^{(\ell ,s)*}(T^*)$$ Ω ( ℓ , s ) ∗ ( T ∗ ) shows a mutual intersection region at a reduced temperature $$0.39< T^*=T^*_{\ell s} < 2.22$$ 0.39 < T ∗ = T ℓ s ∗ < 2.22 which is nearly independent of the potential energy function used.