The wavelength of emitted radiation when an electron jumps orbits in the Bohr atomic model is given

Lexi Chandler

Lexi Chandler

Answered question

2022-05-08

The wavelength of emitted radiation when an electron jumps orbits in the Bohr atomic model is given by
1/ λ = R H ( 1 n f 2 - 1 n i 2 ) Z 2
But that of X-Ray emission is given by
1/ λ = 1.1 × 10 7 ( 1 n f 2 - 1 n i 2 ) ( Z 1 ) 2
Why is there a difference? Why aren't X-Rays treated like any other emissions?

Answer & Explanation

partyjnopp9wa

partyjnopp9wa

Beginner2022-05-09Added 17 answers

The pre-factor is exactly the same thing, look up what R H is equal to.
The (Z-1) term, is due to the inner electrons shielding part of the nuclear charge such as the electrons involved in the X-ray transitions only see a reduced electric field. It's explained in the link you provided.

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