- #1

- 10

- 1

## Homework Statement

Units of the problem are chosen to be such as K

_{B}= 1 and ħ = 1 so that energies are expressed in Kelvin and lengths in Å. The professor says the resulting value of ħ

^{2}/ 2 m for a 4-He atom is 6.0599278: how is that possibile?

## Homework Equations

Natural units websites give many conversion factors:

https://thespectrumofriemannium.wordpress.com/2013/01/30/log070-natural-units/

http://en.wikipedia.org/wiki/Natural_units

## The Attempt at a Solution

as the 4-He mass is

m ≈ 6 * 10

^{-27}Kg

ħ

^{2}/ 2 m ≈ 8,4 * 10^

^{-43}m

^{2}/s

Now using conversions of meters and seconds to eV (given at https://thespectrumofriemannium.wordpress.com/2013/01/30/log070-natural-units/) we find

m

^{2}/s ≈ 0,0169

so the result is wrong.

I tried in many other ways, starting for example from ħ = 1 and converting the 4-He mass, but I cannot find any way to get the result

ħ

^{2}/ 2 m ≈ 6.0599278

Thank you very much in advance for your help!