Vegard's law
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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.[1]
For example, consider the semiconductor compound InPxAs1-x. A relation exists between the constituent elements and their assosciated lattice parameters, a, such that:
aInPAs = xaInP + (1 − x)aInAs
One can also extend this relation to determine semiconductor band gap energies. Using InPxAs1-x as before one can find an expression that relates the band gap energies, Eg, to the ratio of the constituents and a bowing parameter b: