What Are the Key Truths and Myths About the Harmonic Oscillator Model?

[adiabatman]

Homework Statement

Which of the following statements about the harmonic oscillator (HO) is true?
a) The depth of the potential energy surface is related to bond strength.
b) The vibrational frequency increases with increasing quantum numbers.
c) The HO model does not account for bond dissociation.
d) The bond strength is related to the steepness of the potential energy curve.
e) The tunneling probability increases with the increasing quantum numbers.

The Attempt at a Solution

a) True: The depth of the potential energy surface is related to bond length therefore it is related to bond strength.
b) True: Vibrational frequency is proportional to the increasing quantum numbers
c) True: There is no information about bond dissociation in the HO model
d) False: The steepness of the potential energy curve is not related to the bond strength
e) not sure about this one

any help or direction is appreciated. thanks!

 

[Simon Bridge]

Review tunneling ... draw a sketch of a situation where tunneling would apply and work it out?
increased quantum numbers means energy is increased - means the energy level is higher up the potential well ... what does that mean in relation to the barrier?