  Piezoelectric crystals are widely used for acoustic wave resonators of
different functioning modes and types including BAW and SAW. It is well-known
that only some special orientations of crystals will exhibit desirable
properties such as mode couplings, thermal sensitivity, acceleration
sensitivity, and others that are important in design and applications of
resonators. With extensive studies on physical properties in last decades and
increasing industrial needs of novel products, it is necessary to comb the
known knowledge of quartz crystal material for novel orientations and better
products as agendas in the industry. With known material properties like
elastic, piezoelectric, dielectric, and thermal constants, we can establish the
relationships between vibrations and bias fields such as temperature to ensure
a resonator immunizing from excessive response to changes causing significant
degradation of resonator properties and performances. Since the theoretical
framework of wave propagation in piezoelectric solids is known, we need to use
the existing data and results for the validation of current orientations in
actual products. The agreement will give us needed confidence of the theory and
analytical procedures. Through rotations, we calculated physical properties as
functions of angles and bias fields, enabling the calculation of resonator
properties for the identification of optimal cuts. Such a procedure can also be
applied to similar crystals for a careful examination of possible orientations
to maximize the potential use of materials in acoustic wave resonators.
