Lecture 14 - Quantum mechanics

Lecture 14 - Quantum mechanics - Bohr Energy Levels Angular...

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Unformatted text preview: Bohr Energy Levels Angular momentum ( ) of the electron (m e vr) is quantized: with n = 1, 2, 3, Bohr energy levels of hydrogen atom quantized as: 2 2 nh Ze v = with n = 1, 2, 3, e- + 3 2 1 2 1 n E n hcR H h n h n vr m e = = 2 r p r r r Ze v m E e 2 2 8 2 1 = = 2 2 2 4 2 2 1 8 2 1 n h e Z m v m E e e n = = Discreet Energy Levels in Bohr Hydrogen Atom e- + Absorption Emission 1 2 = = 2 2 1 1 i f H i f n n hcR E E E = 2 1 n hcR E H n R H =109737.32 cm-1 2 2 2 4 2 1 8 n h e Z m E e n = with n = 1, 2, 3, hcR H R H =109737.32 cm-1 = = = 2 2 1 1 1 1 ~ i f H i f n n R hc E Bohrs Theory of Hydrogen Emission Spectrum Johannes Rydbergs empirical equation that fits all experimental data: R H =109737.32 cm-1 = 2 1 n hcR E H n = = = 2 2 1 1 1 ~ f i H n n R hc E n 1 n 2 n 3 n 4 H 2 +- 1 2 3 4 = 2 1 n hcR E H n Energy Levels of Hydrogen Emission Spectrum = = = 2 2 1 1 1 ~ f i H n n R hc E...
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This note was uploaded on 04/06/2011 for the course CHEM 107B taught by Professor Jamesames during the Winter '09 term at UC Davis.

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Lecture 14 - Quantum mechanics - Bohr Energy Levels Angular...

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