Spectroscopy: reconciling notation. Starting from Rydberg’s formula, derive Balmer’s formula ( as a special case.

Question

Question

Spectroscopy: reconciling notation. Starting from Rydberg’s formula, derive Balmer’s formula ( as a special case.

Answer 1

Answer #1

The Rydberg formula is,

where R = Rydberg's constant

For the Balmer series n₁ = 2, n₂ =3,4,5...

n = 3,4,5,...

Multiply and divide by 4,

Take reciprocal,

which is the Balmer's formula where B = 4/R.

Answer 2

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