4mm Breathing Mode

The 4mm breathing mode is the expansion mode in a square plate poled in the thickness direction.

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.

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

The breathing mode is of special use in constructing the complete 4mm piezoelectric matrix as given s^E₁₁, N_s provides s^E₁₂. The PRAP 4mm piezoelectric matrix tool recognises results for this mode when computing the complete 4mm matrix from the contents of a compound file.

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

k, s, e, N_s, rN²_s

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