A dimensional analysis problem.

[lylos]

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.

Homework Equations

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?

 

[Redbelly98]

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:

$$\frac{c^2}{eV} \cdot \frac{eV}{A^2}<br /> = \frac{A^2}{s^2 \cdot eV} \cdot \frac{eV}{A^2}<br /> = \frac{1}{s^2}<br /> = Hz^2$$

 

[lylos]

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:

$$\frac{c^2}{eV} \cdot \frac{eV}{A^2}<br /> = \frac{A^2}{s^2 \cdot eV} \cdot \frac{eV}{A^2}<br /> = \frac{1}{s^2}<br /> = Hz^2$$

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. :)