Why was the Bohr model of the atom not useful for atoms other than hydrogen?

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Bohr's model is too simple for atoms beyond hydrogen. In multi-electron atoms like helium, it fails because it ignores a couple of aspects. First is the electron-to-electron repulsion, and second is the shielding effect, where inner electrons reduce the nuclear pull on outer ones. Due to both, orbit

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Orbital angular momentum = n h 2 π

= 3 h 2 π ( ? n = 3 )

Radius of Bohr’s orbit R n = 0 . 5 2 9 A o × n 2 z  

Radius of Bohr’s orbit for hydrogen,   R n = 0 . 5 2 9 A o × n 2

For third orbit (R3) = 0 . 5 2 9 A o × 9 = r3 and

Fourth orbit (R4) = 0 . 5 9 A o × 1 6 = r 4

r 4 = 1 6 r 3 9  

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Chemistry Structure of Atom 2025

Chemistry Structure of Atom 2025

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