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.(adsbygoogle = window.adsbygoogle || []).push({});

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?

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# I Why the energy inversely propotional to n^2 in Bohr model

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