電子與光電材料 期中考範圍. 電子的基本性質 Conductivity Ohm’s law Mobility Hall...

電子與光電材料

期中考範圍

電子的基本性質• Conductivity• Ohm’s law• Mobility• Hall effect• Electromagnetic wave• Maxwell’s equation• Plasma frequency• Cyclotron resonance• Plasma wave• Thermal conductivity• Wavelike properties of electron

氫原子模型與鍵結• Schrödinger’s equation

• Electron in a potential well

• Hydrogen atom

• Quantum number

• Electron spin

• Bonds

• Phase velocity

• Group velocity

constantp

zv f

t k

0

0

0g

k k

zv

t k k k

Maxwell’s Equations

0

enc

B

Eenc

qE dA

B dA

dE ds

dtd

B ds Idt

0

E

B

dBE

dt

dEB J

dt

Spherical coordinates r, ,

Time-Independent Schrödinger’s Equation

22 ( , , ) ( ) ( , , ) ( , , )

2r V r r E r

m

, ,

( , , ) ( ) ( ) ( )

( , , ) ( ) ( , )l

l

mn l m nl l

r R r

r R r Y

Coulomb potential V(r) and its eigenvalues En

Quantum Number and Degeneracy

• principal quantum number (n) 主量子數• azimuthal quantum number (l) 角量子數、角動量量子數

• magnetic quantum number (ml) 磁量子數• spin quantum number (s) 自旋量子數

Qualitative behavior of the kinetic energy K, potential energy U and total

energy E of a hydrogen atom

A polar diagram of the factor which determines the directional dependence of the one-electron atom probability density

Polar diagrams of the directional dependence of the one-electron atom

probability densities

Polar diagrams of the directional dependence of the one-electron atom

probability densities