Crystal oscillator

Table of contents

1 Crystals for timing purposes 2 Crystals and frequency 3 Notation 4 See also 5 References 6 External links

Crystals for timing purposes

Almost any physical object could be used in a similar way to the crystal, with appropriate transducers, since all objects have natural resonant frequencies of vibration. These frequencies depend on size, shape, material, molecular structure, etc. They can be approximately calculated. However, you probably don't want to, because calculating this value for your kitchen table can become extremely complex. That's why crystals are used. Their repeating pattern forms an ideal base for calculating their natural frequency.

Many materials can be formed into plates that will resonate. However, since quartz can be directly driven by an electric signal (it is piezoelectric), no additional electrical-to-mechanical transducer is required.

Chemically, quartz is a compound called silicon dioxide. When a crystal of quartz is properly cut and mounted, it can be made to bend in an electric field. When the field is removed, the quartz will generate an electric field as it returns to its previous shape. This property is known as piezoelectricity.

Quartz has the further advantage that it does not change size much as temperature changes. Fused quartz is often used for laboratory equipment that must not change shape as the temperature changes. This means that a quartz plate's size will not change much with temperature. Therefore, the resonant frequency of the plate, which depends on the plate's size, will not change much, either. This means that a quartz clock will be relatively accurate as the temperature changes.

Crystals and frequency

If you put your hands on the table, and start 'shaking' it, you'll notice that when you're doing it slowly, it might go easier than when you're shaking very fast. This all depends on the kind of table you have. The same thing happens to crystals, only electricity is used to initiate the crystal's movement.

A regular timing crystal contains two electric plates, with a crystal sandwiched between them. The circuitry around the crystal then applies an AC signal to it, and the crystal will start oscillating in this frequency. However, because (let's assume in this situation that this is so) the natural frequency of the crystal is different than the applied frequency, it won't get a large amplitude. This is because when the crystal is pushed forward (for example) and the crystal's natural frequency makes it go back at the same moment, the forces are working in opposite directions and we're not getting anywhere. This is called a forced frequency, or resonance.

When the external logic notices this, it can adjust its frequency. When the frequency gets closer to the natural frequency of the crystal, the amplitude of the crystal will suddenly get a lot bigger. For the external logic this means that there is suddenly almost no resistance at all, and that the current frequency is very close to the natural frequency of the crystal.

This is usually done by microcontrollers, which can be optimized for system on chip-like situations. Because of the use of crystals, the generated clock can be extremely accurate, making it useful for timing systems at high speed.

More than two billion (2 × 10⁹) quartz oscillators are manufactured annually. Most are small devices built for wristwatches, clocks, and electronic circuits. However, quartz oscillators are also found inside test and measurement equipment, such as counters, signal generators, and oscilloscopes.

A quartz crystal inside the oscillator is the resonator. It could be made of either natural or synthetic quartz, but all modern devices use synthetic quartz. The crystal strains (expands or contracts) when an electrical voltage is applied. When the voltage is reversed, the strain is reversed. This is known as the piezoelectric effect.

Oscillation is sustained by taking a voltage signal from the resonator, amplifying it, and feeding it back to the resonator. The rate of expansion and contraction is the resonance frequency, and is determined by the cut and size of the crystal.

The output frequency of a quartz oscillator is either the fundamental resonance or a multiple of the resonance, called an overtone frequency.

A typical Q for a quartz oscillator ranges from 10⁴ to 10⁶. The maximum Q for a high stability quartz oscillator can be estimated as Q = 1.6 × 10⁷/f, where f is the resonance frequency in MHz.

Environmental changes of temperature, humidity, pressure, and vibration can change the resonance frequency of a quartz crystal, but there are several designs that reduce these environmental effects. These include the TCXO, MCXO, and OCXO (defined below). These designs (particulary the OCXO) often produce devices with excellent short-term stability. The limitations in short-term stability are due mainly to noise from electronic components in the oscillator circuits. Long term stability is limited by aging.

Due to aging and environmental factors such as temperature and vibration, it is hard to keep even the best quartz oscillators within 10^-10 of their nominal frequency without constant adjustment. For this reason, atomic oscillators are used for applications that require better long-term stability and accuracy.

Notation

Types of crystal oscillators include voltage-controlled crystal oscillators (VCXO), temperature-compensated crystal oscillators (TCXO), oven-controlled crystal oscillators (OCXO), temperature-compensated-voltage controlled crystal oscillators (TCVCXO), oven-controlled voltage-controlled crystal oscillators (OCVCXO), microcomputer-compensated crystal oscillators (MCXO), and rubidium crystal oscillators (RbXO).

Source: from Federal Standard 1037C

See also

• Quartz clock
• Electronic oscillator
• Frequency synthesiser
• Piezoelectricity
• crystal
• Though they sound related, this is not the same type of crystal as in a Crystal radio receiver

• Information about crystal oscillators
• Quartz oscillator circuits
• How a quartz crystal functions in an oscillator

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