After Class: Some Facts on Quartz Crystals
January 1957 Popular
According to a 2001 paper published by the National Institute of Standards and Technology (NIST,
formerly National Bureau of Standards, NBS), "The end of the era of quartz frequency standards began in 1949 with
the development at NBS of the world’s first atomic frequency standard based on an ammonia absorption line at
23.87 GHz." Further, "The Bureau supported work on both technologies for the next decade, but the rapid advances
in the accuracy of atomic frequency standards could not be matched by quartz devices, and the work on quartz
frequency standards was stopped in 1959." This article from a 1957 edition of Popular Electronics claims
that the "master of all master-clocks" resided at the U.S. Naval Observatory at the time - not quite accurate from
what my research indicates. Still, it is a good introduction to crystal growth and processing for use as timing
[Table of Contents]People old and young enjoy waxing
nostalgic about and learning some of the history of early electronics. Popular Electronics was published from October
1954 through April 1985. As time permits, I will be glad to scan articles for you. All copyrights (if any) are hereby
See all articles from
After Class: Special Information on Radio, TV, Radar, and Nucleonics
Some Facts on Quartz Crystals
mother stone was grown in a laboratory. Bell Telephone labs.
are cut from large mother stones by multiple saw. Wafers must then be ground and polished.
James Knights Co.
are being loaded into a planetary type of lapping machine prior to final polishing.
Disassembled military type
FT-243 (7620-kc.) pressure-sandwich type of crystal holder used extensively
in communications equipment.
Fig. 1. Axes of mother stone
and orientation planes of X-cut and Y-cut crystal blanks. A hexagonal
prism has six X and six Y axes.
Fig. 2. Analogy showing relation
of overtones to fundamental: (A) a string producing its fundamental
tone by vibrating in one part; (B) first overtone or second harmonic of the string; (C) second overtone or third
In the U. S. Naval Observatory at Arlington, Va., is the master of all master-clocks. The primary standard
for all the timepieces of the nation, this clock is never fast or slow by more than a few seconds in one-hundred million.
If you were to measure the distance between New York and Miami, Florida, with this kind of accuracy, the results would
not be in error by more than the length of one standard cigarette!
Such fabulous micro-precision, matched
only by the earth itself as it spins on its axis, is keyed to a tiny slab of crystalline quartz held under rigid temperature
control in a special oven. Although it may soon be supplanted by an even more precise time standard (resonance of
cesium atoms), the quartz crystal still remains the most important frequency-controlling device in existence today.
How They Are Cut. Oscillating crystals are cut from so-called mother stones by high-speed
carborundum wheels. Although most finished plates come from natural quartz prisms, modern techniques for growing mother
stones in the laboratory have been perfected to the degree where our dependence upon nature soon will be unnecessary.
Synthetic crystals are often superior to natural ones since the conditions during synthesis are held under rigid laboratory
A crystal exhibits piezoelectric activity. This means that it develops electric charges on its faces
when compressed or otherwise distorted in shape. When connected in the grid circuit of a vacuum tube, sustained oscillations
of one particular frequency are produced. Since the thickness of the crystal plate is an important factor in determining
the frequency of oscillation, the cut blank is ground and polished until its mechanical resonant frequency arrives
at the desired value; the thinner the crystal, the higher its resonant frequency.
At one time, only X-cut
and Y-cut crystals were available. These terms indicate that the crystal slices are taken from the mother stone at
right angles to the X and Y axes. The X-axis is a line joining two opposite corners of the hexagonal prism and the
Y-axis is a, line joining the mid-points of the two opposite faces. (See Fig. 1.) Both of these cuts are subject to
temperature effects, changing frequency over relatively wide ranges as the temperature varies.
and 1949, vastly improved cuts were discovered by scientists connected with Bell Telephone Laboratories and RCA. Labeled
AT, BT, V, CT, and DT, these crystals were ground from blanks oriented at complex angles with the axes of the mother
stone. Finally, in 1940, the most stable quartz crystal ever devised was announced by W. P. Mason. Known as the GT-cut,
this crystal shows no appreciable change in frequency from -25° C to +75° C; the cut remains virtually "on-frequency"
over a range of 180° F!
The kind of cut you might use depends upon the depth of your purse and its contents.
X- and Y-cuts are quite inexpensive while a GT-cut for a specific frequency is still prohibitive in cost to experimenters
of average means.
Characteristics. The most important single crystal parameter is its temperature
coefficient. Since the frequency of a Y-cut crystal rises with temperature, it is said to have a positive coefficient;
conversely, the coefficient of an X-cut crystal is negative because frequency drops with rising temperature.
For example, the temperature coefficient of a certain Y-cut crystal is given as +75 p/m/C°. This is read as
"plus 75 parts per million per °C." It means that for every degree rise in temperature, the crystal frequency
rises 75 cps for each megacycle of its basic frequency. Thus, if you assume that the temperature of this Y-cut crystal
ground for 3 mc. at 0° C goes up 10° C, the change in frequency will be: 75 cps X 3 mc. X 10° = 2250 cps
= .00225 mc. Adding this to the basic frequency gives 3.00225 mc. On the surface, this does not appear to be a serious
deviation, but it is a change of 750 parts per million for only 10° of temperature variation. The GT-cut, on the
other hand, varies only one part per million over a 100° C range (180° F).
For any given cut at a
specified temperature, the frequency of oscillation is determined by the thickness of the blank. As a crystal is ground
thinner and thinner, its natural frequency rises. In the early days of crystal control, it was virtually impossible
to grind the quartz slabs thin enough to exceed 20 mc. without having them fracture during operation. Since some cuts
are worse than others in this respect, the thickness-frequency specification for each is given in terms of the frequency
factor. This parameter is defined by the simple equation: k: = F X t; where F is the fundamental frequency of the
crystal in mc., t is the thickness in thousandths of an inch, and k is the frequency factor of the particular cut.
For example, the X-cut has a frequency factor of approximately 112 while the Y-cut is rated at 77. Suppose
that one of each of these were to be ground to oscillate at 4 mc. Their respective thicknesses would be:
t = k/F = 112/4 = .0028"
Y-cut: t = k/F = 77/4 = .0019"
From this it is evident that the larger the frequency
factor of a crystal, the thicker it may be for a given frequency. The AT-cut, with a frequency factor of about 66,
is just about the thinnest of all plates.
Overtone Crystals. An overtone or harmonic quartz
crystal is one that has been specially ground or otherwise treated by the manufacturer so that it vibrates in two
or more parts rather than as a whole. Essentially, this process is very similar to overtone production in musical
instruments where the sounding body vibrates in parts showing nodes and loops along its length (Fig. 2). If a crystal
were to vibrate in two equal parts, the output would be exactly double the fundamental or "one-part" frequency. In
practice, this is seldom the case, because overtone crystals do not "break up" into equal sections as they oscillate.
If, for example, an AT-cut crystal is treated to produce third harmonic output at 21 mc., it might be marked
"7-mc. fundamental" This means that its harmonic frequency is approximately three times its fundamental; its output
may differ from the true third harmonic by several megacycles. When such crystals are purchased for transmitter control,
the buyer should know the harmonic output rather than the fundamental frequency.
Overtone crystals are almost
always used in special oscillator circuits in which the crystal responds at its series resonant frequency. Standard
oscillators operate at their parallel resonant frequencies.
Mounting. The development of
better crystal holders has kept pace with improvements in the fabrication of finished quartz plates. These holders
are designed to avoid interference with the piezoelectric vibrations of the crystal and to provide protection against
mechanical shock. In the pressure-sandwich type of holder, the crystal is supported between two electrodes which are
in intimate contact with a pair of flat metal plates to insure good electrical connection. Spring loading and the
use of fiber and neoprene make for firm support, excellent protection, and hermetic sealing. This type of holder typifies
medium-frequency mounting techniques; at the higher frequencies, particularly when overtone crystals are employed,
other kinds of holders are favored.
For extra-precise control of frequency, crystal holders are often enclosed
in thermostatically controlled ovens which maintain the frequency constant over extremely wide variations in ambient
temperature. Such holders are very compact and weigh only a few ounces.
Four types of mountings. At left is a 110-kc. X-cut crystal in a military type HC-13/U holder
which produces very little damping and some mechanical resonance in wires supporting the crystal. Next is a GT-cut
in a special holder; the crystal is first plated with gold, then placed in evacuated glass holder, and is supported
by eight wires soldered to plating. In cutaway view, a circular, silver-plated AT-cut in a glass holder is mounted
inside temperature-controlled oven for greater stability. At right is a close-up view of an NT-cut in a miniature
glass holder supported by four wires.