MSE2020LectureNotes_1_25

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

This preview shows pages 1–2. Sign up to view the full content.

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

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
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
This is the end of the preview. Sign up to access the rest of the document.

## 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.

### Page1 / 2

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

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online