Impedance Level:
If we compare AT-cut and SC-cut resonators having the same
frequency and overtone, the motional inductance (L1) and motional
resistance (R) of the SC-cut resonator will be significantly higher than for the
AT-cut resonator, while the motional capacitance (C1) will be lower
in the same proportion. The static capacitance (C0), however,
will be nearly the same for the two. For oscillator applications, high
impedance is desirable if aging is important, because it reduces the effect of
the sustaining circuit on the oscillator frequency. The trade-off is that
high resonator impedance reduces the tuning range of the oscillator frequency,
limiting corrections for manufacturing tolerance and for aging. In VCXOs,
aging is, at most, a secondary consideration, so that the required tuning range
will determine the highest practical overtone. For either cut, the
impedance level increases roughly as the square of the overtone for a given
frequency, but also depends upon details of the resonator design.
Size:
For most applications, the sizes of the AT-cut and SC-cut
resonator packages are the same.
Cost:
Because of tighter orientation tolerances, the SC-cut is more
expensive to manufacture than the AT-cut, but for high-performance applications
this cost is more than offset by savings in oven complexity, and for many
applications the SC-cut is the only choice. For some applications where
thermal transient characteristics are less important, a modified (near) SC-cut
may be used. This provides essentially the same f - T curve as the true
SC-cut but allows looser orientation tolerances, thereby providing some cost
savings at the expense of thermal transient performance. Normally, cuts
having To much removed from 92°C will not provide the thermal
transient performance for which the true SC-cut is noted.
Quartz Turning Folk Resonators / Watch Crystal
The requirements of quartz resonators for wristwatch are:
small size, low power dissipation (including the oscillator), low cost, and high
stability (temperature, aging, shock, attitude). These requirements can be
met with 32.768 kHz quartz turning fork resonators. It is interesting to
know that 32768 = 215 or 1 Hz = 32768/215. In an
analog watch, a stepping motor receives one impulse per second which advances
the second pin by 6, i.e., 1/60th of a circle every second. The
32.768 kHz is a compromise among size, power requirement (i.e., batter life) and
stability.
Quartz wristwatches are sufficiently accurate, usually, while
worn as intended, i.e., on the wrist for ~16 h and off the wrist for ~8 h each
day. The accuracies degrade when the watch is off the wrist for extended
periods. The further the storage temperature is from the optimum temperature,
the faster the watch loses time. At temperature extremes, e.g., in a
freezer at - 55°C, or at the temperature of boiling water, wristwatches lose
about 20 s per day.
The angle of cut of the resonator used in wristwatches is such
that the zero temperature coefficient is at ~ 25°C, as shown in the following f
– T curve. This has been found to provide the highest probability of accuracy,
based on the typical durations and temperatures while the watch is on the wrist
and while it is off the wrist.
Type of Seal for Quartz Crystal Resonators
Solder Seal
Solder seal packages have several advantages. They have
lower lead-to-case capacitance than other types and therefore used in some
filter designs that require minimal junction capacitance. In addition, the
packages can be opened for rework that is sometimes helpful in meeting difficult
filter requirements. Their main disadvantage is that they cannot be sealed
without introducing contamination, and therefore they tend to have relatively
poor frequency stability.
Resistance Weld
These packages require more sophisticated sealing equipment
than solder seal, but the sealing process introduces less contamination,
resulting in better frequency stability. Resistance weld packages are
available in a wide range of styles, and all are economical choices for
long-term performance
Seam Weld
Seam weld sealing is the most widely used method today in
producing ceramic base/metal cover low profile SMD crystals and
oscillators. Performance and cost are similar to those resistance weld packages.