Quantum physics (quantum theory, quantum mechanics)

Quantum physics (quantum theory, quantum mechanics) Quantum physics (quantum theory, quantum mechanics)

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Comparison with Bohr model Angular momentum (about any axis) assumed to be quantized in units of Planck’s constant: L n, n1,2,3, z Bohr model Quantum mechanics Angular momentum (about any axis) shown to be quantized in units of Planck’s constant: L m, ml, , l z Electron otherwise moves according to classical mechanics and has a single well-defined orbit with radius r n 2 na0 Z , a Bohr radius 0 Energy quantized and determined solely by angular momentum: 2 Z En E , Hartree 2 h Eh 2n Electron wavefunction spread over all radii; expectation value of the quantity 1/r satisfies 1 Z , a0 Bohr radius r 2 na0 Energy quantized, but is determined solely by principal quantum number, not by angular momentum: 2 Z En E , Hartree 2 h Eh 2n 10

Multi-electron Atoms Similar quantum numbers – but energies are different. No two electrons can have the same set of quantum numbers These two assumptions can be used to motivate (partially predict) the periodic table of the elements. 11

Multi-electron Atoms<br />

Similar <strong>quantum</strong> numbers – but energies are<br />

different.<br />

No two electrons can have the same set of<br />

<strong>quantum</strong> numbers<br />

These two assumptions can be used to motivate<br />

(partially predict) the periodic table of the<br />

elements.<br />

11

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