simple metals - Jellium model smearing of the ion-lattice free - - PowerPoint PPT Presentation

simple metals - Jellium model

smearing of the ion-lattice

+ + + + + + + + + + + + + + + + + + + + + + + + + + + +

+

nion = ne

charge neutrality

free electron states

L L L

periodic boundary conditions

…………….. …………….. …………….. …………….. …………….. …………….. …………….. …………….. …………….. …………….. ……………..

energy wave vector

simple metals - Jellium model

…………….. …………….. …………….. …………….. …………….. …………….. …………….. …………….. …………….. …………….. …………….. ground state: N electrons

filled

Fermi wave vector Fermi energy

Fermi wave vector versus electron density

radius of volume per mobile electron

simple metals - Fermi surfaces simple metals - Fermi surfaces

ideal elemental metals:

alkali metals (group I) Li, Na, K, Rb, Cs

[noble gas] (ns)1

Na (bcc) Cu (fcc) Ag (fcc)

[Ar](3d)10(4s)1 [Kr](4d)10(5s)1

non-ideal metal: Mg (hcp)

[Ne](3s)2

• verlapping

bands

half-filled band nobel metals

http://www.phy.tu-dresden.de/~fermisur/

Fermi surface explorer:

like parabolic band