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SILICON
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CHIP
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2
Silicon Chip
Editorial Viewpoint
Crystals: more than meets the eye
Similar to ICs, we tend to drop crystals into a circuit
and expect them to ‘just work’, without realising the
amount of engineering involved. When they were
first introduced, crystal resonators were expensive
devices; today’s high-precision, low-cost crystals are
the culmination of a huge amount of research and
manufacturing investment.
You may be aware that quartz is a piezoelectric
material, meaning that when a voltage is applied to it, it changes shape slightly.
Similarly, if you apply mechanical force to a quartz crystal, it generates a
small voltage. Essentially, quartz acts as an electromechanical transducer.
This property is used in piezo buzzers and force/pressure/acceleration sensors
as well as crystal resonators.
In use, a quartz crystal resonator acts as a very high-Q mechanical
resonator, excited by the surrounding electrical circuit. Very few other
materials can do this and remain stable in the long term. At the crystal’s
natural resonant frequencies, the motional impedance drops drastically, so
the electromechanical conversion becomes extremely efficient.
Quartz has very low mechanical damping, minimal dislocation mobility,
low internal friction in shear modes, and a stable crystalline lattice with very
few slip systems. This means that once energy is put into a shear vibration,
the lattice does not readily convert it to heat. Most other common solids
dissipate orders of magnitude more energy per cycle.
For example, a quartz resonator can have a Q value in the range of 104 to
106, while most metals, ceramics and glass operating as mechanical resonators
typically have Q values in the range of 102 to 104.
The natural resonant frequency of a crystal fragment depends on its size,
thickness and the way it is cut relative to the crystalline structure. A crystal
can operate in multiple vibration modes: shear, flexural, tuning-fork mode
and others, each resonating over a different frequency range.
At resonance, the motional reactances cancel, reducing the impedance
of the crystal to a low value, often just a few tens of ohms. Off-resonance,
the impedance changes rapidly. This is why a crystal oscillator locks so
tightly onto one frequency: the crystal’s mechanical resonance dominates
the feedback loop.
Creating a modern crystal resonator starts with synthetic quartz grown
slowly using hydrothermal processes in autoclaves, rather than by melting
(as is used for growing silicon crystals in semiconductor manufacturing).
The crystalline structure is analysed, then cuts are made at specific angles
to create different crystal types (AT-cut, BT-cut etc).
The plates are polished to extremely precise thickness, cut into precisely
sized and shaped pieces, and electrodes are added with minimal stress to
avoid altering the crystal’s behaviour. They are then mounted on tiny flexible
supports at vibration nodes and hermetically sealed in a can to reduce ageing.
A crystal actually has two closely spaced resonant frequencies. At its
series-resonant frequency, its impedance falls to a minimum. Slightly above
this is its parallel or anti-resonant frequency, where the crystal’s motional
components interact with its electrode and package capacitance to produce a
very high impedance. Many oscillator circuits operate between these points,
at a frequency determined partly by the external load capacitance. This is
why crystals are specified with a particular load capacitance and using the
wrong capacitors can shift the frequency.
All this work goes into producing a precision device that you can buy for
tens of cents each in volume. So next time you use a crystal, consider the
effort and technology that went into it behaving predictably and operating
seamlessly in your circuit.
by Nicholas Vinen
Australia's electronics magazine
siliconchip.com.au
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