Part of JPC-07 — Atomic Structure: Quantum Numbers & Electronic Config

Hydrogen Spectrum

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Emission spectrum: 1/lambda = RZ2RZ^2(1/n12n1^2 - 1/n22n2^2), R = 1.097 x 10^7 m1m^{-1}. Series: Lyman (n1=1, UV), Balmer (n1=2, visible), Paschen (n1=3, IR), Brackett (n1=4, IR), Pfund (n1=5, far IR). For each series: first line has n2 = n1 + 1 (longest wavelength, lowest energy). Series limit has n2 = infinity (shortest wavelength, highest energy). Total lines when electron falls from n to ground state: nn12\frac{n-1}{2}. Lines in a specific series from level n to n1: n - n1 lines. Balmer series visible lines: H-alpha (656 nm, red), H-beta (486 nm, blue-green), H-gamma (434 nm, violet), H-delta (410 nm, violet). The hydrogen spectrum was the first evidence for quantised energy levels.

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