6mm Rotated (45°) TE Mode

The thickness extensional mode in a 6mm symmetry material occurs in specimens with the following geometries;

The arrow represents the sample poling direction. The limits in dimension should ensure that the resonance will be free of coupling with other resonance modes. In the rotated TE mode used by PRAP, the poling and specimen electrode surfaces are rotated some angle q about the 'a' or 'b' axes of the crystal system.

The resonance observed in the sample impedance is described by the following equation;

The TE mode rotated 45° about the 'a' or 'b' (X and Y) axes is of special use in constructing the complete 6mm piezoelectric matrix, as it eliminates the need for the 6mm LE mode which is generally difficult to measure accurately. The PRAP 6mm piezoelectric matrix tool recognises results for this mode when computing the complete 6mm matrix from the contents of a compound file.

By fitting this equation to the observed resonance, the following material properties can be determined;

k_t^45:X,Y, c₃₃^D45:X,Y, h₃₃^45:X,Y, b₃₃^S45:X,Y

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