9,192,631,770
The second is defined by a cesium-133 atomic transition.
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Photo: National Institute of Standards and Technology - Physics Laboratory: Time and Frequency Division · Public domain
The short answer
The SI second is defined using a frequency of exactly 9,192,631,770 hertz associated with cesium-133.
Why it's true
The time standard is defined using a frequency of exactly 9,192,631,770 hertz associated with cesium-133.
The transition is between two hyperfine levels of the atom’s unperturbed ground state.
Using an atomic reference makes the definition independent of small variations in Earth’s rotation.
By the numbers
9,192,631,770 Hz
Defining frequency
133
Cesium isotope mass number
1967
Atomic definition adopted
The backstory
For much of human history, the apparent motion of the Sun supplied the natural clock. Dividing a mean solar day into hours, minutes, and seconds made time useful for navigation and everyday schedules. Precision astronomy eventually revealed a difficulty: Earth's rotation is not perfectly uniform. Tides, exchanges of angular momentum within the planet, and other processes alter its rate. A standard intended for comparing laboratory experiments therefore needed a reference more reproducible than a spinning planet.
An intermediate definition used Earth's orbital motion through an astronomical ephemeris. Atomic clocks then provided a practical route to a better standard. The cesium frequency was selected to maintain continuity with that astronomical second, rather than to create a visibly different unit of time. In 1967, the international metrology community adopted the atomic definition. Today's wording states the same underlying reference by fixing the numerical frequency associated with a particular transition in cesium-133.
The wider picture
The “oscillations” are not atoms physically bouncing back and forth billions of times each second. Cesium has two closely spaced hyperfine energy levels within its ground state, associated with the interaction of nuclear and electronic angular momenta. Radiation at the appropriate microwave frequency can drive transitions between those levels. A clock uses the atoms to correct an electronic oscillator, keeping its output aligned with the atomic resonance. Electronics then divide that frequency into convenient timing signals.
In a cesium fountain clock, laser-cooled atoms travel upward and fall back under gravity, encountering microwave fields during their flight. The measured transition probability tells the operators whether the applied microwave frequency is too high or too low. Magnetic fields, thermal radiation, atomic collisions, and apparatus geometry can shift the apparent resonance. Researchers evaluate these effects rather than pretending the clock realizes the ideal “unperturbed” atom automatically. The definition is exact; any individual clock has a measured uncertainty.
Atomic time also needs relativity. Clocks at different gravitational potentials tick at different rates, and motion changes comparisons as well. Navigation satellites depend on accounting for those differences to deliver useful positions. Civil time additionally tries to remain related to Earth's rotation, but that is a separate coordination problem from defining the second. Optical atomic clocks investigate transitions at much higher frequencies and can outperform cesium instruments in important respects. Their performance does not, by itself, change which transition presently defines the SI unit.
A clock and a time scale are also different things. A clock supplies a physical sequence of ticks; a coordinated time scale combines information from clocks and agreed procedures. This distinction explains why improving an individual frequency standard is not the same task as distributing official time to users around the world.
Worth remembering
- The SI second is defined using a frequency of exactly 9,192,631,770 hertz associated with cesium-133.
- Using an atomic reference makes the definition independent of small variations in Earth’s rotation.
- Practical atomic clocks must control or correct environmental effects that shift the reference frequency.
In context
A second is a unit of duration, not a count of pendulum swings or a fraction of a perfectly uniform astronomical day. Atomic timekeeping replaced those variable references with a specified atomic transition, allowing laboratories to reproduce a shared frequency reference independently.
A closer look
What an atomic clock locks onto
A cesium clock does not watch a single atom behave like a tiny mechanical pendulum. It uses electromagnetic radiation to probe the transition and adjusts an oscillator to the resonance indicated by the atoms. The electronic signal then supplies the clock's regular ticks. The atom provides the reference against which the oscillator is controlled.
A definition does not remove disturbances
Real atoms experience magnetic fields, thermal radiation and motion. Clock builders evaluate shifts caused by these conditions and estimate the remaining uncertainty. The definition describes the unperturbed transition, while the apparatus approaches that ideal through control and correction. Comparing clocks at different locations also requires attention to relativity, because identical clocks need not accumulate equal elapsed time along different paths.
Related facts
The meter converts the time reference into a length definition through light. The meter is defined using the speed of light in a vacuum.
GPS shows why atomic timekeeping must be combined with relativity. GPS would fail within a day if it ignored Einstein's relativity.
The kilogram also connects a physical constant to laboratory measurements. The kilogram is no longer defined by a metal cylinder.
The kelvin provides another example of separating a unit definition from its practical realization. Absolute zero is exactly -273.15 degrees Celsius.
Key terms
- Transition frequency
- The frequency associated with the energy difference between specified atomic states.
- Oscillator
- A system that produces a repeating signal, such as the electronic signal controlled in an atomic clock.
People also ask
Does each atom emit a tick every second?
No. A clock uses a measured atomic resonance to regulate an oscillator and derives time intervals from the resulting frequency.
Are all atomic clocks cesium clocks?
No. Other atomic species and transitions support clocks, but the present SI second is defined through cesium-133.
Why mention an unperturbed atom?
External fields and motion can shift measured frequencies. The definition specifies an ideal reference rather than every condition inside a real device.
Does the definition make every clock agree automatically?
No. Instrument errors, environmental shifts and relativistic differences must be evaluated when comparing actual clocks.
Is Earth’s rotation still the definition?
No. Earth’s rotation remains important in astronomy and civil time coordination, but it does not define the atomic SI second.