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... everyone now agrees {Einstein’s 1905 paper on photoelectric
effect} was the real starting point of the quantum theory revolution,
although Planck started it in 1900. [Does 'everyone' agree on this?
I would still say Planck is the starting point of the revolution.]]
y = A (f^n) exp(-hf/kT) + c .................................... (1)
y = A (f^n) { exp(-hf/kT) /[1 + b exp(-hf/kT)] } + c ............(2)
What did Einstein do? He looked at equation 2. This is Planck's
equation. He said, "Nah! too complicated. Let me put b = 0. That
captures the "essence" of Planck." ...
Anyway, Einstein takes entropy and energy and says temperature is the
ratio of energy to entropy... [dQ = TdS perhaps, but T =
(energy)/(entropy)??? And attributing this to Einstein?]
Then, Einstein looks at the whole thing again. He sees that when
equation 1 is simplified, it means that y goes up in steps of hf. Or
in his case K goes up in steps of hf... [First of all, I can’t see
how you get from (1) to E = hf. Secondly, E doesn’t 'go up in steps
of hf', it IS hf for the photon.]