- #1

- 39

- 1

## Homework Statement

A molecule is a harmonic oscillator, and has a fundamental frequency of 1000 cm

^{−1}and a reduced mass of 10.0 amu. From this, determine the magnitude of the force constant, and express it in units of aJ ˚A

^{−2}(atto joules per angstrom).

## Homework Equations

ω=√(k/m

_{r})

## The Attempt at a Solution

My question is about the requested units. Force constants of harmonic oscillators are given as force*distance, no? So the request for the units in energy/distance

^{2}doesn't make sense. Further, using the relevant equation given I end up with amu/cm

^{2}, or mass/distance

^{2}. I suppose wavenumbers can be counted as energy as well. Even then, you'd end up with J^2*amu or J*amu/cm. The problem, then, is the remaining mass. I'm fairly certain I'm misunderstanding something in this, however. Any help would be appreciated.

Edit: Apologies for having to move my thread. This is this first part of a multistep quantum mechanical problem. I guess this part is technically more introductory.

Last edited: