Answer to Question #285030 in Physical Chemistry for Aritrika

Question

The vibrational frequency of a diatomic molecule is given by,

e e e G  h v  h v )x 

2

1

) (

2

1

( ) = ( + − +

where v is the vibrational quantum number. Show that the spacing between theadjacent levels, ΔG, is

[1 2( 1) ]

e e G = h − v + x

. Deduce the expression of

dissociation energy by considering ΔG → 0 at the vibrational level where the bond

dissociates. What is the nature of the plot of ΔG vs (v + 1)? Why the plot is non

linear for the high value of v?

Answer 1

The answer to your question is provided in the image: