Vegard's law

Vegard's law

In metallurgy, Vegard's law is an approximate empirical rule which holds that a linear relation exists, at constant temperature, between the crystal lattice parameter of an alloy and the concentrations of the constituent elements. [http://adsabs.harvard.edu/abs/1991PhRvA..43.3161D Harvard.edu] ]

For example, consider the semiconductor compound InP"x"As1-"x". A relation exists between the constituent elements and their assosciated lattice parameters, mathit{a}, such that:

mathit{a}_{InPAs} = mathit{x}mathit{a}_{InP} + (1-mathit{x})mathit{a}_{InAs}

One can also extend this relation to determine semiconductor band gap energies. Using InP"x"As1-"x" as before one can find an expression that relates the band gap energies, mathit{E_g}, to the ratio of the constituents and a bowing parameter mathit{b}:

mathit{E_g}_{InPAs} = mathit{x}mathit{E_g}_{InP}+(1-mathit{x})mathit{E_g}_{InAs}-mathit{bx}(1-mathit{x})

References

ee also

*Metallurgy
*Physics


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