Quantum Mechanical Transport Properties of Hard Convex Fluid

Hard Convex Body models have been proven useful in several areas in chemical physics. The geometric properties of convex bodies made it possible for one to perform analytical calculation of reaction rates, transport coefficients and contact radial distribution function. We are performing the calculations of transport coefficient (viscosity).

Isotropic symmetric and orientational correlations for hard-convex bodies exhibit simpler behaviour in the surface to surface than in the more customary centre to centre coordinate representation. For the hard convex bodies, the isotropic symmetric part behaves much like that of a hard sphere fluid. It is the support function h(x) which defines the analytical properties of hard-convex bodies. The intermolecular potential field has been pro- posed in terms of support function. The constant parameters, phase, and cross-section for ratio of major and minor axis of HCB model for helium molecules have been calculated in terms of this potential. These results have been used for knowing the co-effcient of viscosity of helium.

The theoretical results for viscosity of helium have been compared with the available experimental results. The theoretical results for ratio  agrees well with the experimental results.

This work has three important publications. The titles of the paper and the name of the journals are:

1. Constant Parameter of Hard Convex Fluid: Indian Journal of Physics (International journal, Springer) 77 B (2): 233-236, Year 2003
2. Cross Sections for Helium Molecules: RUJOST Vol. III No.3, May 2021
3. Viscosity of Isotopes of Helium with HCB model: Asian J. Research in Chemistry....9(912): 974-4150, Year 2017