Does this temperature, as defined here, behave as we expect it to? For bodies at thermal equilibrium
N(lo) > N(hi),
it is not possible to populate the high energy level more by adding heat to a body. Thus for usual systems the logarithm is negative and temperature is positive.
Two level model
In this example there are eight atoms at the low level and four at the high level; this system has some usual temperature. Assuming that the difference of the energy of the two levels is 10k (k is the Boltzmann constant, 1.38*10-23, what would the temperature of this system be?
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