# A dimensional analysis problem.

## Homework Statement

Basically, I have a constant that is 1/mass. I need to find out how to relate this to my function which has units eV/A^2 to have results in THz^2.

## The Attempt at a Solution

I think I would just have the mass in units of MeV/c^2 and then convert c^2 into A^2/s^2... Does this sound correct?

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Redbelly98
Staff Emeritus
Homework Helper
I think that will work, since A seems to be a length unit (Angstroms?) from what you say.

Let's see ... reciprocal of mass in your units would be c^2/eV, so:

$$\frac{c^2}{eV} \cdot \frac{eV}{A^2} = \frac{A^2}{s^2 \cdot eV} \cdot \frac{eV}{A^2} = \frac{1}{s^2} = Hz^2$$

I think that will work, since A seems to be a length unit (Angstroms?) from what you say.

Let's see ... reciprocal of mass in your units would be c^2/eV, so:

$$\frac{c^2}{eV} \cdot \frac{eV}{A^2} = \frac{A^2}{s^2 \cdot eV} \cdot \frac{eV}{A^2} = \frac{1}{s^2} = Hz^2$$
Yeah, it was Angstroms. That's what I was thinking it would be, was just wanting to run it through with someone else before I started over again. Thanks. :)