3.2 量子自由电子理论对一些现象的解释.pdf

Chapter 3 Free electrons in solids 3.1 Free electron model 3.1.1 Drude Model - Classical Free Electron Model 3.1.2 Sommerfeld Model - Quantum Mechanical Free Electron Model 3.2 Heat capacity of free electron gas 3.3 Transport properties of conductive electrons 3.4 Electron emission and contacting voltage Heat capacity of free electrons Transport properties of conductive electrons Thermal-electric effect · QMFEM · Calculation of Heat Capacity of free e- ·Comparison of CVe and CVl g(E) 1/ 2 g(E) C E N(E)  f (E)g(E) At T=0K ，the average energy of free electrons is 60% of the E . F Heat capacity of free electrons Transport properties of conductive electrons Thermal-electric effect · QMFEM · Calculation of Heat Capacity of free e- ·Comparison of CVe and CVl Calculation of Heat Capacity of free Electrons At T0K ，the total energy of free electrons is:  3/ 2 1 E EdN Eg (E ) f (E )dE C  E (E E )/k T dE 0 e F B 1 3 0 5 2 k T 2  N E [1  ( B ) ] 5 e F 12 E0 F 2 2 2 E  N k T  N k T Ce   e B