{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Lec2

# Lec2 - Lecture 2 EE2 Energy Bands UCLA Alex Shailos Energy...

This preview shows pages 1–3. Sign up to view the full content.

Lecture 2 - EE2 Energy Bands UCLA Alex Shailos 1 Energy levels of an atom o Hydrogen observed to have quantized energy levels for electrons Define “quantized” Refer to electron orbits picture in notes sheet o Quasi-classical derivation Classical: electron has balance of forces F coulombic   e 2 4 Ú 0 r 2 e charge of electron{C} 1.6 *10 19 r radial coordinates, distance from proton{m} Ú 0 permittivity of free space{F/m} F centripetal   m 0 v 2 r m 0 electron mass 9.1*10 31 { kg } v velocity e 2 4 Ú 0 r 2   m 0 v 2 r Quantum: wavelengths have to “fit” around orbit in integer number of wavelengths 2 r n e n non-zero, positive integer (e.g., 1, 2, 3, ...) e electron wavelength r n e 2 allowable radii p h k h 2 2 r n p h n r p angular momentum p r r r p rp m 0 vr (for velocity orthogonal to radius) p h n m 0 vr quantization of angular momentum Relate quantized momentum to quantized radius and energy

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

View Full Document
Lecture 2 - EE2 Energy Bands UCLA Alex Shailos 2 e 2 4 Ú 0 r 2 m 0 r 3   m 0 v 2 r m 0 r 3 e 2 m 0 r
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 6

Lec2 - Lecture 2 EE2 Energy Bands UCLA Alex Shailos Energy...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online