Fundamental physics

Hydrogen 21 cm hyperfine transition

This is a change in the energy state of neutral hydrogen atoms that produces or absorbs radio waves, widely used in radio astronomy.

Also known as: 21 cm line, hydrogen line

How big is it?

5.873 × 10⁻⁶ eV of energy

Single-photon transition energy · measured constant
Typical recorded range: 5.867 × 10⁻⁶ eV to 5.88 × 10⁻⁶ eV.

Scale illustration of Hydrogen 21 cm hyperfine transition, calibrated to its single-photon transition energy measurement.
The marked single-photon transition energy represents 5.873 × 10⁻⁶ eV.

A little perspective

Caesium-133 clock transition is about 6.47 times larger on this measurement.

Caesium-133 clock transition: The caesium-133 clock transition is the specific change in energy state of a caesium-133 atom that defines the duration of one second in the International System of Units.

Linear measure
ENERGY STORED OR TRANSFERRED5.873 × 10⁻⁶ eV3.802 × 10⁻⁵ eV
01
Hydrogen 21 cm hyperfine transition5.873 × 10⁻⁶ eVSingle-photon transition energy
02
Caesium-133 clock transition3.802 × 10⁻⁵ eVSingle-photon transition energy
Bar length represents energy. Equal energy does not imply the same temperature, power or usefulness.
Measurements, assumptions & sources +

Hydrogen 21 cm hyperfine transition

The neutral-hydrogen ground-state hyperfine line has a wavelength near 21.1 cm and photon energy near 9.41 × 10⁻²⁵ J. It is a transition wavelength, not an atom diameter.

NIST — Hydrogen hyperfine frequency reference

The marked single-photon transition energy is calibrated. Unmeasured illustration details are representative.

Caesium-133 clock transition

The SI second is defined from exactly 9,192,631,770 periods of the unperturbed caesium-133 ground-state hyperfine transition. Period and photon energy here are derived from that exact frequency.

BIPM — The International System of Units

The marked single-photon transition energy is calibrated. Unmeasured illustration details are representative.

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Why this measurement?

Why we use 5.873 × 10⁻⁶ eV

For comparison, this page uses single-photon transition energy. This is labelled measured constant; the central value is useful for comparison, while real values or measurement solutions can vary. The recorded range is 5.867 × 10⁻⁶ eV to 5.88 × 10⁻⁶ eV.

The neutral-hydrogen ground-state hyperfine line has a wavelength near 21.1 cm and photon energy near 9.41 × 10⁻²⁵ J. It is a transition wavelength, not an atom diameter.

The identifying illustration and the numerical comparison remain separate. How calibrated comparisons work →

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Recorded properties

Hydrogen 21 cm hyperfine transition dimensions and measurements

PropertySelected valueRecorded rangeBasis
5.873 × 10⁻⁶ eV5.867 × 10⁻⁶ eV to 5.88 × 10⁻⁶ eVmeasured constant
21.1 cm21 cm to 21.2 cmmeasured constant

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