4-53
T
DEGREES CELSIUS
SC-cut
r = Co/C1 = 746
a = 0.130
12
8
4
0
-4
-8
-12
-50
200
450
700
950
1200
1450
1700
1950
* 10-6
Effects of Load Capacitance on f vs. T
   A load capacitor, CL, changes not only the frequency (see chapter 3), but also the frequency vs. temperature characteristic.  Shown above are the f vs. T characteristics of the same resonator with and without a CL.  The CL rotates the f vs. T curve as if the angle of cut had been lowered (because the combined effect of the resonator and CL lowers the effect of piezoelectricity, as explained in the reference below).  So, the CL raises the frequency at all temperatures (the curve with fL has been vertically displaced for clarity), and it also rotates the f vs. T to a lower apparent angle of cut, i.e., it reduces the turning-point-to-turning-point frequencies and temperatures.
   The temperature coefficient of CL can greatly amplify the f vs. T rotation.


A. Ballato, "Frequency-Temperature-Load Capacitance Behavior of Resonators for TCXO Application," IEEE Trans. Sonics Ultrasonics., SU-25, pp.185-191, July 1978.