Is 1 cm equal to 8.066 meV-1 in unit conversion?

[Rajini]

Dear PF members,
We know that 1 meV = 8.066 cm^-1. So now can i say 1 cm = 8.066 meV^-1 ?
thanks for your reply.
Ps: 1 cm^-1 = 0.124 meV.

 

[Dadface]

I'm not sure what you are saying here Rajini because your units don't balance.An eV is a unit of energy.

 

[ZapperZ]

This is a common "short form" used in condensed matter/solid state physics, especially in optical conductivity measurement. 1 eV is "equivalent" to 8.0655 x 10^3 cm^-1. It's one of those simplified notation that sets k=h=c=1.

Zz.

 

[Dadface]

Whoops...sorry Rajini and thank you ZapperZ.Can you please give me some ideas about where to google to get more information?

 

[ZapperZ]

Whoops...sorry Rajini and thank you ZapperZ.Can you please give me some ideas about where to google to get more information?

It actually is a straight-forward conversion.

Start with E=hf.

So if you have 1 eV = hf, it gives you an equivalence

1 eV == 2.4 e14 Hz

but we know that f = c/lambda.

So 1/lambda = cf = 8.05 e3/cm == 1 eV.

The list of values of the conversion from 1 eV into frequency, 1/cm, and Kelvin can be found in the inside back cover of Ashcroft and Mermin's Solid State Text.

Zz.

 

[Rajini]

Hi, how i calculate (and many ppl. do)..
we know
$$E=hc/\lambda$$
and so
$$1/\lambda=E/(hc)$$
Now by taking E = 1 eV, h in eVs and c in cm/s
one will get $$1/\lambda$$ = 8066 cm^-1 (for E= 1 eV).
So 1 meV = 8.066 cm^-1
But my questions is whether the following is correct or not!?
1 cm = 8.066 meV^-1 [i just reversed the units!]

thanks for your reply

 

[Rajini]

yes i solved this problem..sorry

 

[Dadface]

THank you ZapperZ.There was I thinking it might be something complicated.

 

[alxm]

But my questions is whether the following is correct or not!?
1 cm = 8.066 meV^-1 [i just reversed the units!]

Yes, but remember here that it's (meV)^-1 and not milli-(eV)^-1,
just as cm^-1 is taken to mean 1/centimeters and not 100ths of 1/m.

First time I worked with cm^-1 I kept being off by a factor of 10,000 for some reason :)