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Time and Frequency from A to Z, Q to Ra

Quality Factor, Q

An inherent characteristic of an oscillator that influences its stability. The quality factor, Q, of an oscillator is defined as its resonance frequency divided by its resonance width. Obviously a high resonance frequency and a narrow resonance width are both advantages when seeking a high Q. Generally speaking, the higher the Q, the more stable the oscillator, since a high Q means that an oscillator will stay close to its natural resonance frequency. The table shows some approximate Q values for several different types of oscillators.

Oscillator Type Quality Factor, Q
Tuning Fork 103
Quartz Wristwatch 104
OCXO 106
Rubidium 107
Cesium Beam 108
Hydrogen Maser 109
Cesium Fountain 1010
Mercury Ion Optical Standard 1014

Quartz Oscillator

The most common source of time and frequency signals. Billions of 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; and interestingly enough, inside every atomic oscillator.

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 as shown in the diagram.

quartz oscillator

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 megahertz.

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. These designs (particularly 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 1 × 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.

Radio Controlled Clock

A clock that automatically synchronizes to a signal received by radio.  In the United States, the term is most commonly applied to clocks that receive a 60 kHz signal from NIST radio station WWVB.  However, many different devices can now be considered radio controlled clocks, including smartphones, which typically receive time from GPS that is rebroadcast by the service provider. 

Random Walk

A type of oscillator noise caused by environmental factors such as mechanical shock, vibration and temperature fluctuations which cause random shifts in frequency. As a general rule, random walk noise cannot be removed by averaging.

Ramsey Cavity

The microwave cavity typically found inside atomic frequency standards where the atoms are subjected to radiation near their resonance frequency. The cavity is part of an electronic circuit tuned to match the atomic resonance frequency as closely as possible. Named after Norman Ramsey, who was awarded the Nobel Prize in physics in 1989.

Created May 12, 2010, Updated March 1, 2023