simple metals - Jellium model smearing of the ion-lattice free electron states + + + + + + + + + + + + + + + + + + + + + periodic boundary conditions L + + + + + + + L L + wave vector …………….. …………….. …………….. …………….. …………….. n ion = n e energy …………….. …………….. …………….. …………….. charge neutrality …………….. ……………..
simple metals - Jellium model ground state: N electrons Fermi …………….. wave vector …………….. …………….. …………….. …………….. …………….. …………….. …………….. …………….. …………….. …………….. Fermi energy filled Fermi wave vector versus electron density radius of volume per mobile electron
simple metals - Fermi surfaces simple metals - Fermi surfaces nobel metals ideal elemental metals: Ag (fcc) Cu (fcc) alkali metals (group I) [Ar](3d) 10 (4s) 1 [Kr](4d) 10 (5s) 1 Li, Na, K, Rb, Cs half-filled [noble gas] (ns) 1 band Na (bcc) non-ideal metal: Mg (hcp) [Ne](3s) 2 overlapping bands like parabolic band Fermi surface explorer: http://www.phy.tu-dresden.de/~fermisur/
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