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We report direct first-principles density-functional calculations of thepiezoelectric tensor $\tensor{d}$ relating polarization to applied stress forthe binary compounds AlN, GaN, and InN. The values of $\tensor{d}$ are rathersensitive to the choice of the exchange-correlation functional, and results arepresented for both the local-density and gradient approximations. A comparisonwith experiment and with values predicted indirectly from the elastic ande-piezoconstant tensors is also presented.Comment: RevTeX 3 pages, no figure

First-principles calculation of the piezoelectric tensor d⇊ of III–V nitrides