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Bohr model: energy levels, radius, hydrogen spectrum

Atomic Structure · Chemistry

Study notes

An electron falls from n=3 to n=2 in hydrogen. Find the photon wavelength. Step 1: 1/λ = R(1/2² − 1/3²) = 1.097 × 10⁷ × (1/4 − 1/9). Step 2: (1/4 − 1/9) = 5/36 ≈ 0.1389. Step 3: 1/λ = 1.097 × 10⁷ × 0.1389 ≈ 1.524 × 10⁶ m⁻¹. Step 4: λ ≈ 656 nm — the red H-alpha line of the Balmer series.

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