Investigation of self-temperature-sensing of SC-Cut with simultaneous excitation of two higher overtones in dual-mode crystal oscillator

This paper deals with evaluation of self-temperature-sensing of stress compensated (SC) quartz resonator with simultaneous excitation of two higher overtones - the slow thickness-shear modes (i.e. the c-modes) in dual-mode crystal oscillator (DMXO). Two different combinations of overtones simultaneously excited in the standard 10-MHz 3rd overtone SC-cut resonator are compared here: - the 5th overtone excited together with the 3rd overtone; - and the 7th overtone excited together with the 3rd overtone. Possible applications of the self-temperature-sensing include: stabilization of the SC-cut resonatorpsilas temperature with excellent accuracy; as well as precise compensation for frequency shifts due to the variations of the temperature in the SC-cut resonator surrounding.