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IEVref:561-01-66ID:
Language:enStatus: Standard
Term: parallel resonance frequency
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Symbol: fp
Definition: frequency where the admittance value of a lossless resonator becomes zero

Note 1 to entry: When the electromechanical coupling factor is low, an approximate value of the frequency is given by the expression

f p = 1 2π L 1 C 1 C 0 C 1 + C 0 MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbbjxAHXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaeqabiGaciGacaqadmaadaqaaqaaaOqaaiaadAgadaWgaaWcbaGaaeiCaaqabaGccaaMi8UaaGjcVlaayIW7caaMi8Uaeyypa0JaaGjcVlaayIW7caaMi8UaaGjcVlaayIW7caaMi8UaaGjcVlaayIW7daWcaaqaaiaaigdaaeaacaaIYaGaeqiWdaNaaGjcVlaayIW7caaMi8+aaOaaaeaacaWGmbWaaSbaaSqaaiaaigdaaeqaaOWaaSaaaeaacaWGdbWaaSbaaSqaaiaaigdaaeqaaOGaam4qamaaBaaaleaacaaIWaaabeaaaOqaaiaadoeadaWgaaWcbaGaaGymaaqabaGccqGHRaWkcaWGdbWaaSbaaSqaaiaaicdaaeqaaaaaaeqaaaaaaaa@5CC5@

where C0 represents the shunt capacitance and L1 and C1 the motional inductance and the motional capacitance respectively. The expression can be derived from Figure 2 by letting R1 = 0.

Figure 2 – Equivalent circuit of a piezoelectric vibrator (one-port resonator)

Note 2 to entry: This entry was numbered 561-02-11 in IEC 60050-561:1991.


Publication date:2014-11
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