piezoelectric effect, which was discovered for
the first time by the brothers Pierre and Jacques
Curie, combines electrical with mechanical
quantities and vice versa. If piezoelectric materials
(e.g. quartz, turmaline) are subjected to electrical
signals along certain crystal orientations,
deformations along well-defined crystal
orientations appear. Contrary, a mechanical
deformation results in a generation of polarization
charges. Even if there exist numerous publications
on this so-called direct and reciprocal piezoelectric
effect, the aim of this paper is to convey a clear and
easy understanding of this essential solid body
effect in particular for the non-specialist, since a
large number of publications is rather superficial
and unfortunately sometimes incorrect. A variety
of ionic crystals show the direct and reciprocal
piezoelectric effect. In this paper, an illustrative
representation of both effects is given by the
molecular structure of alpha-quartz, a stable
modification of the silicon dioxide, the second
most common mineral of the earth's crust. Both
effects always involve an important physical
quantity, the so-called electrical polarization,
which represents an Euclidean vector being defined
as the quotient of the total dipole moment resulting
from the deformation of the hexagonal unit cell of
alpha-quartz and the volume of the unit cell. Based
on the physical explanation of the dipole moment,
it is shown how the directions of the electrical
polarization can be calculated in a simple manner.
This finally enables the physical understanding of
both effects that are nowadays used in numerous
technical applications in the broad field of sensor
and actuator technologies.