Understanding Electron Volts, Temperature & Boltzmann's Constant

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SUMMARY

The discussion centers on converting electron volts (eV) into atomic units, specifically for temperature calculations using Boltzmann's constant (kB). One atomic unit of temperature is defined as eV divided by kB. The atomic energy unit is established as 1 Hartree, equivalent to 2 Rydbergs or approximately 27.211 eV. Key values include 1 a.u. [Length] as 0.5291×10-10 m and 1 a.u. [Temperature] as 3.1577×105 K.

PREREQUISITES
  • Understanding of electron volts (eV) and their application in atomic physics
  • Familiarity with Boltzmann's constant (kB) and its role in thermodynamics
  • Knowledge of atomic units, specifically Hartree and Rydberg
  • Basic concepts of length and temperature in atomic units
NEXT STEPS
  • Research the conversion of energy units in quantum mechanics, focusing on Hartree and Rydberg
  • Study the implications of Boltzmann's constant in statistical mechanics
  • Explore the significance of atomic units in computational chemistry
  • Learn about the relationship between temperature and energy in the context of atomic units
USEFUL FOR

Physicists, chemists, and researchers in quantum mechanics or computational chemistry seeking to understand the conversion of energy and temperature into atomic units.

brydustin
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I need the electron volt in atomic units (mainly because I need "atomic unit" temperature).
I believe that one atomic unit of temperature is eV (electron volts) / kB (Boltzmann's constant). So I know that the elementary charge e = 1 = h-bar.

How do i get eV, temp, Boltmann's constant, length, time, and energy in this form of units? PLEASE don't post the wikipedia article, that won't help. I'd really appreciate an answer with numerical values, thanks.
 
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In the "atomic units" used in chemistry, the atomic energy unit is 1 a.u. [Energy] = 1 Hartree. A Hartree is two Rydbergs, so 1 a.u. [Energy] = 2 * 13.605... eV.

What is the problem with the Wikipedia article? E.g. from the tables in
http://en.wikipedia.org/wiki/Atomic_units
you could have read off the same thing. Similarly, taking from the table,
1 a.u. [Length] = 1 BohrRadius = 0.5291...×10^{-10} m
or
1 a.u. [Temperature] = 3.1577...×10^{5} K
 

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