Chapter 13, Problem 13C.7BE

Interpretation Introduction

Interpretation:

The mean contribution to electronic energy at $2000\text{K}$ for a sample of atoms has to be stated.

Concept introduction:

Statistical thermodynamics is used to describe all the possible configurations in a system at given physical quantities such as pressure, temperature, and a number of particles in the system.  The important quantity in the thermodynamic is partition function that is represented as,

  $q\equiv {\displaystyle \sum _i{g}_i{e}^{-\beta {\in }_i}}$

The mean vibrational energy is given by the equation as shown below.

  $\langle {\epsilon }^{\text{v}}\rangle =-\frac{1}{q}\frac{\partial q}{\partial \beta }$