Matrices of Piezoelectric, Elastic, and Dielectric Constants

Great convenience results from the systematic arrangement of the complex array of piezoelectric and associated data, particularly when the intended use involves more than first‐order numerical solutions. Reference is made to a collection of such constants arranged in matrix form which includes complete data for twelve different piezoelectric crystals of present day interest and in addition the computed matrices for several of these crystals referred to other axes which have been rotated away from the crystallographic axes. Special value in piezoelectric computation follows from a choice of the powers of 10 in terms of which to list the several constants which differs for some constants from the conventional usage. Reciprocal relations between the four common piezo‐elasto‐dielectric matrices by pairs are obtained by writing two of the eight basic thermodynamic‐type equations as solved for the negative of the variable. Facility in checking matrix computations has been found to be enhanced by adopting matrices which are reciprocals of each other where possible. The matrix arrangement which has been adopted, when used in combination with the recent Piezoelectric I.R.E. Standard, greatly simplifies the teaching and learning of this field.