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Phy107Lect25

# Phy107Lect25 - HW9 Chap 14 Concept 16 18 19 Problems 2 6 8...

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Fri. Nov 5 Phy107 Lecture 25 From Last Time… • Hydrogen atom: – One electron orbiting around one proton (nucleus) – Electron can be in different “quantum states” – Quantum states labeled by integer n – In each different quantum state, electron has Different orbital radius Different energy Different wavelength n= 1 is lowest energy state, energy depends on state as 13.6 n 2 eV HW9 - Chap 14 Concept: 16, 18, 19 Problems: 2, 6, 8

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Fri. Nov 5 Phy107 Lecture 25 Emitting and absorbing light Photon is emitted when electron drops from one quantum state to another Zero energy n =1 n =2 n =3 n =4 E 1 = 13.6 1 2 eV E 2 = 13.6 2 2 eV E 3 = 13.6 3 2 eV n =1 n =2 n =3 n =4 E 1 = 13.6 1 2 eV E 2 = 13.6 2 2 eV E 3 = 13.6 3 2 eV Absorbing a photon of correct energy makes electron jump to higher quantum state. Photon absorbed hf = E 2 -E 1 Photon emitted hf = E 2 -E 1
Fri. Nov 5 Phy107 Lecture 25 Line spectra • This says that gases such as Hydrogen emit light only at certain frequencies, wavelengths. • The photon energies correspond to separations between the energy levels. Wavelength (nm)

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Fri. Nov 5 Phy107 Lecture 25 The wavefunction • Our explanation of the hydrogen atom originated from wave nature of electron. • The electron wave is a standing wave around the circumference of the orbit. • For each quantum state, there is a wavefunction associated with the electron. • This is not unique to the hydrogen.
Fri. Nov 5 Phy107 Lecture 25 General aspects of Quantum Systems • System exists only in discrete quantum states • Usually labeled by an integer • Each quantum state has an energy associated with it.

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Fri. Nov 5 Phy107 Lecture 25 Example: ‘Particle in a box’ Particle confined to a fixed region of space e.g. ball in a tube- ball moves only along length L Classically , ball bounces back and forth in tube. – No friction, so ball continues to bounce back and forth,
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Phy107Lect25 - HW9 Chap 14 Concept 16 18 19 Problems 2 6 8...

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