Related Experiment Video
Updated: Jan 23, 2026
Fabrication of Three-Dimensional Graphene-Based Polyhedrons via Origami-Like Self-Folding
Published on: September 23, 2018
New equations of state for the hard polyhedron fluids
Jianxiang Tian1, Hua Jiang, A Mulero
1Department of Physics, Qufu Normal University, Qufu 273165, P. R. China. jxtian@dlut.edu.cn.
Abstract:
In this paper, we derived a new equation of state for hard polyhedron fluids that is obtained by the knowledge of virial coefficients and a fit to the computer simulation data for the compressibility factor, and which contains two adjustable parameters. This equation reproduces exactly the correct known virial coefficients up to the ninth one and also the compressibility factor data with high accuracy, the absolute average deviations (AADs) being 0.05% for the stable state and 1.12% for both stable and metastable states for the hard tetrahedron fluid. For 12 of the other hard polyhedron fluids, it reproduces exactly the correct known virial coefficients up to the eighth one and also the compressibility factor data in the stable state with AADs less than 0.25%, with the only exception being the triangular prism polyhedron fluid.
Related Concept Videos
03:10Chemical Equations
02:59The Nernst Equation
The interconnection between standard cell potentials and various thermodynamic parameters such as the standard free energy change ΔG° and equilibrium constant K has been previously explored. For example, a redox reaction involving zinc(II) and tin(II) ions at 1 M concentration with Eºcell = +0.291 V and ΔG° = −56.2 kJ is spontaneous.
02:55Thermochemical Equations
02:35Clausius-Clapeyron Equation
02:48Henderson-Hasselbalch Equation
02:58Balancing Redox Equations