How do you convert vibrating silicon atom frequencies to energy in meV?

AI Thread Summary
The discussion focuses on converting frequency to energy for a vibrating silicon atom, specifically using the relation E = ħω. The user is attempting to transition from a normalized frequency range of 2 to 80 meV, utilizing the formula ω = 2√(K_i/M), where K_i is given as 10.6 eV/Ų and M is the mass of silicon. There is uncertainty about how to achieve the conversion to reach the desired energy values. The user has successfully calculated a frequency in 1/s using the mass of silicon in meV/c² but is seeking further clarification on completing the conversion. Understanding this relationship is crucial for accurately determining energy levels in silicon atoms.
msimmons
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When considering a vibrating silicon atom.
I'm just not sure how to do the conversion o.O
 
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MeV is mega-electron volts which is equivalent to Joules or energy. So you can't convert frequency to energy.
 
I know, not directly, but I'm looking for a relation that's something along the lines of E=\hbar\omega but I don't know of any.

Essentially, I'm going from a unitless/normalized frequency of 2 to 80 mevs using \omega=2\sqrt{K_i/M} where K_i is 10.6 eV/\AA^2 and M is the mass of silicon. I should get approximately 80 mevs.. Not sure how I get there. I got to 1/s easily by using the mass of silicon in mevs/c^2 but that's about it
 

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