Chapter 10, Problem 10.2DQ

Interpretation Introduction

Interpretation:

The explanation for the conclusion that many attractive interactions between molecules differ with their separation as $\text{1}/{\text{r}}^{\text{6}}$ has to be given.

Concept introduction:

Lennard-Jones (12,6) –potential:

It is the model of the total potential energy between molecules.

The mathematical expression is given below:

  $\begin{array}{l}\text{V}\left(\text{r}\right)\text{=}\text{4}\text{ε}\left[{\left(\frac{{\text{r}}_{\text{0}}}{\text{r}}\right)}^{\text{12}}\text{-}{\left(\frac{{\text{r}}_{\text{0}}}{\text{r}}\right)}^{\text{6}}\right]\\ \\ {\text{r}}_{\text{0}}\text{-}\text{Separation}\text{at}\text{which}\text{V}\text{=}\text{0}\\ \text{ε}\text{-}\text{Depth}\text{of}\text{the}\text{well}\\ \text{r}\text{-}\text{Separation}\end{array}$