ConstantID

Hyperfine transition frequency of Cs-133

AdoptedSI defining constantExact

ΔνCs = 9 192 631 770 Hz

Value
9 192 631 770 Hz
Standard uncertainty
exact
Relative uncertainty
exact
Status
Exact by definition (the second, 1967)
Symbol
ΔνCs
Source
CODATA 2022 via NIST · NIST entry

Use in a calculation

# hyperfine transition frequency of Cs-133, CODATA 2022 (NIST)
dnu_Cs = 9.19263177e9  # Hz, exact

# SciPy: scipy.constants.physical_constants['hyperfine transition frequency of Cs-133']

What it is

The frequency of the microwave radiation absorbed or emitted when the outermost electron of an undisturbed caesium-133 atom in its ground state flips between the two hyperfine energy levels. The second is defined as exactly 9 192 631 770 periods of this radiation, and caesium atomic clocks realise it.

The second has been defined from this frequency since 1967; the 2019 revision restated the definition as a fixed value of the constant.

Equations

  • 1s=9192631770ΔνCsthe SI second

In other units

UnitValue
kHz kilohertz9 192 631.77exact
MHz megahertz9192.631 77exact
GHz gigahertz9.192 631 77exact
THz terahertz0.009 192 631 77exact

Converted with ConstantID's unit table; digits are rounded to the precision of the value, and a long exact value is rounded only for display.

How the value changed, 1998–2022

CODATAValue (uncertainty)Relative uncertaintyChange from previous
20229 192 631 770exact exact
20189 192 631 770exact

“Change from previous” is the shift in the value divided by the standard uncertainty of the previous adjustment. Earlier values are converted into the current unit where NIST changed it (for example J s to J Hz⁻¹).

Related constants