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Crystal data
Typical crystal design
Before beginning a design or purchase of a crystal there are system parameters,
which must be considered. Below are questions, which need to be determined
by your system. These parameters will determine the crystal specifications.
- On what crystal frequency do you wish to operate?
- How much can the frequency be off at room temperature (+25°C)?
- What is the temperature range over which the crystal will operate?
- How much can the crystal change frequency over the temperature range?
- Is the crystal to be operated at Series or Parallel resonant?
- If operated at parallel, what is the parallel capacitance in picofarads
(pF)?
- Is pullability important?
- What holder type or can size do you require?
The Quartz Crystal
The quartz crystal may be represented by the L, C, R circuit (below).
C0 is the capacitance formed by the crystal electrodes plus any holder
capacitance. The L1, C1, R1 branch is called the "motional arm".
The motional capacitance, C1, controls the "pullability" of
the crystal. The shift of a crystal can be calculated by the following
formula...
ppm fr Series = C1/2 (C0+CL)
Knowing two different loads on the crystal, we can look at the differences
between each shift from series to calculate total trim range.
Example: given a 0.020 pF C1 and a C0 of 4.26 pF the shift from series
of a 20pF load is 412.2 ppm and the shift of a 27pF load is 319.9 ppm.
This gives us a tune range of 92.3 ppm between 20pF and 27pF loads.
C1 and R1 can be specified on any crystal. Typical values of R1 are 10
to 25 ohms on the fundamental mode and higher on overtones. Typical motional
capacitance values are between 0.016 pF and 0.034 pF for a fundamental
crystal. Motional capacitance is divided by the overtone squared. Static
capacitance (C0) is about 213 times C1 on the fundamental mode.
Frequency
The quartz crystal can be made on frequencies between 70 kHz and 200
MHz. The quartz crystal is designed to operate on its fundamental frequency
or one of its overtones. The overtones are related to the fundamental
frequency and occur at odd harmonic intervals. (1, 3, 5, 7, etc.) This
becomes important between the 15 MHz to 30 MHz Range. Crystals in that
frequency range can be made as either a fundamental or 3rd overtone. Fundamental
mode crystals at these frequencies become very expensive as the quartz
blank is extremely thin and difficult to handle, and therefore causing
a higher rate of breakage in processing. If you specify an overtone mode
instead of the fundamental, the cost savings may be significant.
Calibration
Crystals are the key components in an oscillator circuit and they are
affected by ambient conditions, particularly the temperature.
The most common calibration specification is ±10 ppm or ±.001%
at + 25°C and your specific load, it is also the least expensive.
Temperature
calibration
The chart to the right shows the change in frequency with respect to
temperature. The various curves are dependent on the angle at which the
quartz is cut from the original crystal. The angle of cut is controlled
by x-ray diffraction techniques. The curves in this chart show that as
the tolerance becomes tighter. The operation temperature range is reduced.
Crystal load
Series resonance
When a crystal is operating at series resonance (fs), it looks resistive
in the circuit. Thus, its impedance at fs is near zero. In a well-designed
series resonant circuit, correlation is not a problem and load capacitance
does not have to be specified.
Parallel resonance
(antiresonance)
The crystal's impedance values will have the effect of pulling the frequency
of the crystal. If the crystal is to be used at parallel resonance, the
load capacity (in picofarads) should always be specified. Load capacity
is the dynamic capacity of the total circuit measured or computed across
the crystal terminals. It is selected to operate the crystal at a stable
point on fs-fa reactance curve (10pf to close to fs). For more information
on computing the load capacity of a circuit see our Oscillator Data sheet.

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