- #1
KFC
- 488
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After reading some materials on Bohr model, I understand the model is more or less incorrect, especially in terms of "orbital". I just wonder if the energy expression is also wrong or not.
In my text for general quantum theory, the energy about two neighboring level is given as ##\Delta E = E_n-E_{n-1} = \hbar\omega##
which is ##n## independent. But in Bohr model about hydrogen, the quantized energy is given as
##E_n = -E_0/n^2##
which is inversely proportional to ##n^2##. This will give, for example from level ##n## to ##n-1##
##
E_n-E_{n-1} = \frac{-E_0}{(n-1)^2-n^2}
##
which is ##n## dependent. I am quite confusing why is it. Is Bohr model about energy is correct for hydrogen or hydrogen-like atom?
In my text for general quantum theory, the energy about two neighboring level is given as ##\Delta E = E_n-E_{n-1} = \hbar\omega##
which is ##n## independent. But in Bohr model about hydrogen, the quantized energy is given as
##E_n = -E_0/n^2##
which is inversely proportional to ##n^2##. This will give, for example from level ##n## to ##n-1##
##
E_n-E_{n-1} = \frac{-E_0}{(n-1)^2-n^2}
##
which is ##n## dependent. I am quite confusing why is it. Is Bohr model about energy is correct for hydrogen or hydrogen-like atom?