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General
Background on Quartz Crystals
Quartz crystals find their applications in virtually every piece of modern
communication equipment such as transceivers, telephone, fax, data transmitting digital equipment, radio and TV transmitters, radar and sonar equipment,
as well as data processing equipment and time pieces, not least of all the precise timing of microprocessors.
For all these applications, the crystal's inherent property to oscillate at an extremely constant frequency under certain
conditions is utilized. For example, a quartz crystal in a watch may oscillate precisely at 32.768Hz (cycles per second). By means of electronic
circuitry, these oscillations control, in the case of the watch, very accurately the display mechanism.
Basic Principle of Crystals |
The underlying principle which is utilized by a quartz crystal is its inherent
piezoelectric property.
Piezoelectricity is derived from a crystal such as quartz upon the mechanical stress is applied. The opposite sides of the
crystal become electrically charged and the difference of potential is proportional to the amount of stress used. Reversal of the stress reverses the
electrical charges as well. Moreover, the piezoelectrical effect is reversible. A changing electrical potential will be experienced by the crystal as a
mechanical strain, as it starts vibrating in proportion to the varying voltage applied.
A modern oscillator crystal is based on the principle that a properly mounted and supported quartz crystal will vibrate
mechanically at a very definite frequency, if an alternating current is applied to its surfaces. The frequency depends on the dimensions of the crystal:
For AT Type cut blanks the thinner the crystal, the higher the vibrating frequency. The vibrating crystal consumes power at its resonant frequency.
Consequently, it can be used as the frequency controlling element in an oscillator circuit.
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Growing of Quartz
Crystals
Outline of Manufacturing Process |
The growing of quartz crystals simply involves dissolving quartz from small chips and
allowing the quartz to grow on prepared seeds. These encompass a batch process that requires about 21 days to result in the desired size crystals.
Approximately one half of each day is required to bring the charge and the equipment to operating temperature.
Employing a hydrothermal process, the quartz chips are dissolved in sodium hydroxide solution. Temperatures are maintained
above the critical temperature of the solution. The growth process of the quartz is controlled by a two-zone temperature system such that the higher
temperature exists in the dissolving zone and the lower in the growth zone.
In the actual manufacturing process, the quartz chips or nutrients are placed in the bottom of a long vertical steel
autoclave which is specifically designed to withstand high temperatures and pressures. The quartz wafers, sliced along the basal plane, are suspended in
the top zone of the vessel of seeds. Calculated amounts of deionized water and sodium hydroxide pellets are added and the vessel is sealed. External heat
is now applied to achieve the two isothermal zones. Special insulation and a careful controlled pattern of heat application are important to obtain the
proper results; the small quartz chips, the raw material, are dissolved by the caustic solution. This solution is now carried by convection currents to
the cooler growing zone where it becomes supersaturated and growth begins on the seed plates.
Of paramount importance is temperature control, because the temperature affects the dissolution rate of the nutrient, the
deposition of quartz on the seeds and the convective transfer of nutrients between zones. For example, a high temperature differential between the zones
leads to rapid growth, however, seed faulting will occur if the temperature difference is too high. Through practical experience, a workable differential
of about 38 degree Centigrade has been established.
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Quartz Crystal
Production
Outline of Manufacturing Steps |
The manufacture of quartz crystals can be divided into four sections:
Cutting ,
Lapping,
Finishing and
Quality Control.
A. Cutting
The cutting operation is the first process performed on the quartz bar. The bar is sliced with special wafering machines
into small square dice of dimensions 1.27mm x 1.27mm x 0.04mm. The angle at which the dice are cut is very important for the overall performance of the
finished crystals. Special X-ray units are used to assure the proper angle of cut in relation to the atomic planes.
B. Lapping
The quartz dice, called "blanks," cut from the "mother stone," now undergo lapping on precision lapping machines. A
progressively finer finish on the major surfaces of the blanks is achieved as the crystals are lapped, first on one machine, then onto another. As the
lapping operation reduces the thickness of the blanks, the frequency of the crystals is increased. Proper control of the lapping machines will result in
the production of crystals with extremely accurate frequencies.
C. Finishing
After the quartz blanks have been lapped to a thickness which will yield the desired frequencies, they are thoroughly
cleaned and metal electrodes are vacuum deposited on their two major faces. The electrodes pick up the electrical impulses which exist on the crystal
surface and direct them to springs. The springs, in turn, pick up the electrical impulses and, in addition, help support the crystal to its mounting
base.
A final frequency adjustment is made after the crystal has been mounted. Additional metal is vacuum deposited on each
crystal. The final step is to seal the crystal hermetically by welding a metal can to its base, in order to protect the fragile blank from damage by
moisture, air, handling, etc.
D. Quality Control
In process quality control, at various manufacturing steps, ascertains favorable production yields. Before the finished
units are released, they are thoroughly tested at a Quality control station where paramount attention is given to stable crystal frequency over a
temperature range from as low as -55 degree Centigrade to 125 degree Centigrade. The "activity" of the crystal is checked as it indicates how strongly
the crystal is vibrating, and a "leak test" is performed in order to assure that the crystal is hermetically sealed from its environment in order to
preclude degradation of the unit.
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Mode of
Vibration and Orientation Angle
Quartz is a piezoelectric material with an inherently high Q. It is capable of
transforming electrical energy to mechanical energy and vice versa.
By slicing the new quartz at various angles with respect to its axis it is possible to obtain a variety of blanks
having different vibrating modes and different temperature characteristic.
Fig. 1 and Fig. 2 shows
the orientation angle of a Z-plate quartz crystal at which the first frequency temperature coefficient of crystal unit become zero near normal room
temperature for the modes of vibration most often used.
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Fig. 1 Orientation angle of a Z-plate quartz crystal
Fig. 2
Commonly used atomic planes for quartz measurement
(left).
Precisely cut x-ray standards (right) are useful in rapid calibration of x-ray
goniometer.
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Table 1 shows the relationship between the mode of vibration, frequency
range, orientation angle, width, length a thickness dimensions and frequency which are determined by the mode of vibration.
The mode of vibration and orientation angle usable for the desired frequency are
determined from this Table.
TABLE 1
CUT
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FREQUENCY RANGE
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MODE OF VIBRATION
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ORIENTATION ANGLE
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FREQUENCY FORMULA
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AT
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300KHz to 25MHz |
thickness-shear |
3518'
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1670/t (Khz-mm) |
AT
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10MHz to 150MHz |
thickness-shear |
3515'
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1670xn/t, n=3.5.7(*) |
BT
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1MHz to 35MHz |
thickness-shear |
-498'
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2560/t |
BT
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20MHz to 75MHz |
thickness-shear |
498'
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2560xn/t, n=3(*) |
CT
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250KHz to 1000KHz |
face-shear |
3740'
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3080/l |
DT
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60KHz to 500KHz |
face-shear |
5230'
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2070/l |
5X
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60KHz to 250KHz |
length-extensional |
+5
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2830/l |
*n: overtone order t-thickness l-length w-width
CONSIDERATIONS FOR OSCILLATOR DESIGNS
The design engineer in selecting his crystal oscillator circuit should give careful consideration to the following
factors.
(A) AMBIENT CHANGES
Crystals are temperature responsive. Avoid placing crystals near hot spots or cold spots. Where stability is critical, a
temperature controlled oscillator or oven may be necessary.
(B) DRIVE LEVEL
The frequency of all crystal units will change to some degree with variations of drive level. Therefore, it is necessary
that the drive level specified is that actually being used in the equipment.
GED adjusts at the maximum drive level indicated for the various cuts. Where reduced drive level are desired, please
specify along with the reference oscillator.
In some instances, the customer's oscillator circuit may be required.
( C ) OPERATING MODE
Oscillator circuits should be designed to operate in series or parallel resonant mode.
Crystals maintain stable oscillation between series resonance and load resonance.
Oscillator circuits operating inductively (below series resonance) are often unstable.
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Fig. 3
(D) ISOLATED OUTPUT LOAD
The oscillator load should remain constant to prevent unwanted reactive effects from the amplifier stages following the
oscillator.
Where high stability is required, proper shielding, buffer amplifiers or neutralizing circuits may be necessary.
(E) REGULATED POWER SOURCE
The frequency stability of the crystal oscillator is directly dependent, in most instances, on the stability of the power source
and as such, voltage regulation is important.
EQUIVALENT CIRCUIT PARAMETERS
The properties of any mode of a lightly damped mechanical vibrator piezo electrically excited through electrodes can be
represented, in the region of the resonance frequency by an equivalent electrical circuit which consists of a motional capacitance (C), motional inductance (L
) and motional resistance (R) in series, shunted by the total shunt capacitance (Co) is the sum of the static capacitance of the crystal electrodes and the
pins or leads.
A representation of the quartz unit equivalent circuits shown in Fig. 4.
Fig. 4
The value of the (C) can be changed for a particular resonant frequency by varying the electrode area. The motional resistance (R) represents the
molecular friction losses of the quartz crystal plus the mechanical damping through the system. The parallel capacity (Co) is the capacity between the
vacuum deposited metal electrodes and the quartz material as a dielectric and we have:
where
f = resonant frequency
a = electrode area
n = order no of overtone (1, 3, 5, 7)
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CHARACTERISTICS OF FREQUENCY VS. LOAD CAPACITANCE
For many applications, there are requirements to pull the crystal frequency by using a load reactive element.
This may be necessary in order to trim out the manufacturing tolerance or in phase locked loop and frequency modulation
applications.
Fig. 5a, 5b and 5c show respectively.
- a crystal unit alone
- a crystal unit with a series connected load capacitance CL
- a crystal unit with a parallel connected load capacitance CL
Fig. 5 Influence of the Load Capacitance CL
For example in oscillator circuit combination of a crystal unit and a capacitor (Fig 5b) acts as a crystal unit with the load resonance frequency fL in
a similar low impedance to Fig 5a.
In Fig 5c, the load capacitance CL is in parallel with the crystal unit, and the combination will act as a crystal unit
with a load resonance frequency fS.
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Typical Soldering Conditions for Through Hole
Crystals and Oscillators:
Per MIL-STD-202, Method 210 "Resistance to Soldering Heat", Conidtion C.
Details: Wave Solder with solder bath temperature of 260șC ±5șC and an exposure time of 10±1 second. Preheat 1-4șC/s to within 100șC of
solder temperature (25 ±6mm/s)
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Typical Soldering Conditions for Surface Mount
Devices:
Mounting of SMD units is typically accomplished by means of solder reflow, either by infrared heat or by vapor phase.
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Infrared -
Reflow
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Vapor Phase -
Reflow
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