MSE2020LectureNotes_1_25 - MSE 2020 1/25/2011 Page 1 of 2...

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MSE 2020 1/25/2011 Page 1 of 2 Electrons An electron is a charged particle, so changing its motion is easy using electric and magnetic fields o Ex. Harmonic oscillation mv22 + = ( ) kx22 E macroscopic = ( ) H harmonic operator Hamiltonian H = Ψ EΨ Schrodinger Equation - + ħ22mδδx Ux = E o Particle in a Box The electron wave must be at 0 at the ends of the box o What is the largest wave possible? o λ = 2L o What are possible wavelengths? o λ = L, 3λ/2 = L,…, λ = 2L/n, where n = 1,2,3,… o The wavelength depends on the size of the box Use the De Broglie equation
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MSE 2020 1/25/2011 Page 2 of 2 o = p o = = E p22m n2h28mL2 (discrete energy levels/values because n = 1, 2,3, …) o Discrete wavelengths and energy This occurs because the electron is confined to the atom Schrodinger equation has only been solved for the H atom o o Quantum Numbers Principal quantum number: n, n=1 (for H atom) Angular momentum quantum number: l = 0,1,. .., n-1
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This note was uploaded on 09/12/2011 for the course MSE 2020 taught by Professor Alamgir during the Spring '09 term at Georgia Institute of Technology.

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MSE2020LectureNotes_1_25 - MSE 2020 1/25/2011 Page 1 of 2...

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