Free Electron Model

IDEAS AND ASSUMPTIONS

The Solid-state Physics core idea is that the Valence Electron s detach themselves completely from their Ion s and form an "electron gas". While this model is the simplest model, it reproduces the main electronic properties of metals. The two fundamental asumptions are:

the independent electron approximation that considers the electrons as independent. Electron Screening is one justification for ignoring Electron-electron Interaction s.

the electrons move in a constant energy Potential (the structure of the material is completely ignored). Bloch's Theorem states that a periodic potential (such as a regular array of atoms) cannot scatter a Travelling Wave electron.

PREDICTIONS OF THE MODEL

This very simple model of metals more or less correctly predicts:

the shape of the electronic Density Of States .

the range of binding energy values.

the Heat Capacity functional form.

electrical conductivities.

the Wiedemann-Franz Law .

The energy of an electron is equal to

k^2/((2pi)^2---2m

SEE ALSO

''Free electron''

Nearly-free Electron Model

Free Electron Laser

Hendrik A. Lorentz

Arnold Sommerfeld

Joseph Larmor

Thermal Conductivity

Electrical Conductivity

Pauli Exclusion Principle

Band Theory

Fermi Gas

EXTERNAL ARTICLES AND REFERENCES

"'' Free-electron model of metals ''". Encyclopædia Britannica, Inc., 2006.

"'' The free electron model ''". cmmp.ucl.ac.uk.

Evgeny Y. Tsymbal, "''Introduction to Solid State Physics''; Section 7: Free electron model ". University of Nebraska-Lincoln (physics.unl.edu).

"''Semiconductor Physics; 2.1 Basic Band Theory; 2.1.1 Essentials of the Free Electron Gas ''". tf.uni-kiel.de.

Oleg Krupin, "''Dichroism and Rashba effect at magnetic surfaces of crystalline rare-earth metals : Dichroism and Rashba effect RK magnetic crystal surfaces OF rare earth metals; Appendix C: Free-Electron Model ''".

Chia-Hung Yang, "''Handout : Electron I: Free electron model ''". ENEE 600 - Solid State Electronics.

"'' From Thomson's Corpuscles to the Electron ''". American Institute of Physics, 2006.

"'' Electrons in free space ''". BlackLight Power Inc.

	CATEGORIES ABOUT FREE ELECTRON MODEL

	fundamental physics concepts

	condensed matter physics

	electron

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Free Electron Model