The consequences of using the full version of Stirling’s approximation in the development of the configuration of the greatest weight has to be explored. Whether the more accurate approximation has a significant effect on the form of the Boltzmann distribution has to be stated. Concept introduction: Stirling’s approximation is used to estimate the natural logarithm of factorial of a number. The Stirling’s approximation is represented as shown below. ln N ! ≈ N ln N − N It is assumed in Stirling’s approximation that N is a large number.

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Chapter 13, Problem 13A.6P

Interpretation Introduction

Interpretation:

The consequences of using the full version of Stirling’s approximation in the development of the configuration of the greatest weight has to be explored. Whether the more accurate approximation has a significant effect on the form of the Boltzmann distribution has to be stated.

Concept introduction:

Stirling’s approximation is used to estimate the natural logarithm of factorial of a number. The Stirling’s approximation is represented as shown below.

lnN!≈NlnN−N

It is assumed in Stirling’s approximation that N is a large number.

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