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

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SUMMARY

The discussion focuses on converting the frequencies of vibrating silicon atoms into energy measured in meV (milli-electron volts). The relationship E = ħω is highlighted as a key formula, where ω is derived from the equation ω = 2√(K_i/M), with K_i specified as 10.6 eV/Ų and M representing the mass of silicon. The conversion process aims to achieve energy values ranging from 2 to 80 meV, although the exact methodology for this conversion remains unclear to the participants.

PREREQUISITES
  • Understanding of quantum mechanics, specifically the relationship between energy and frequency.
  • Familiarity with the formula E = ħω and its components.
  • Knowledge of the physical properties of silicon, including its mass.
  • Basic grasp of energy units, particularly electron volts (eV) and milli-electron volts (meV).
NEXT STEPS
  • Research the derivation and application of the formula E = ħω in quantum mechanics.
  • Explore the physical properties of silicon, including its mass and vibrational characteristics.
  • Learn about the conversion of energy units from eV to meV and the implications for atomic vibrations.
  • Investigate the significance of the spring constant K_i in relation to atomic vibrations and energy calculations.
USEFUL FOR

Physicists, materials scientists, and engineers interested in quantum mechanics and energy conversion in semiconductor materials, particularly those working with silicon.

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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