ConstantID

Josephson constant

ElectromagneticExact

KJ = 483 597.8484… × 109 Hz V−1

Value
483 597.8484… × 109 Hz V−1
Standard uncertainty
exact
Relative uncertainty
exact
Status
Exact since the 2019 SI redefinition
Symbol
KJ
Source
CODATA 2022 via NIST · NIST entry

NIST prints this exact value cut to 10 digits. ConstantID recomputes it from the defining constants: 4.835 978 484 169 836 324 476 582 850 55 × 1014…

Use in a calculation

# Josephson constant, CODATA 2022 (NIST)
K_J = 4.8359784841698363244765828505452814e14  # Hz V^-1, exact

# SciPy: scipy.constants.physical_constants['Josephson constant']

What it is

The frequency-to-voltage ratio of the Josephson effect: a junction between two superconductors, driven by microwaves of frequency f, develops voltage steps of exactly f/K_J. Voltage standards around the world are built on it, and since 2019 its value is exact.

It is built only from constants that have exact values since 20 May 2019, so it is exact too; CODATA 2018 was the first adjustment to list it that way.

Equations

  • KJ=2ehdefinition
  • V=nfKJJosephson voltage steps

How the value changed, 1998–2022

Each point is one CODATA adjustment, plotted as its difference from the 2022 value; the bars show one standard uncertainty (an arrowhead means the bar runs off the chart). Diamonds mark adjustments in which the value was exact.

Josephson constant: CODATA values 1998–2022 relative to the 2022 value, in parts per billion, with one-standard-uncertainty bars−150−100−500+50+100+150parts per billion1998200220062010201420182022

Relative uncertainty

Josephson constant: relative standard uncertainty in each CODATA adjustment, logarithmic scale10⁻⁹10⁻⁸10⁻⁷199820022006201020142018exact2022exact
CODATAValue (uncertainty)Relative uncertaintyChange from previous
2022483 597.8484… × 109exact exact
2018483 597.8484… × 109exact −1.4 σ of 2014
2014483 597.8525(30) × 1096.2 × 10−9 −1.6 σ of 2010
2010483 597.870(11) × 1092.3 × 10−8 −1.8 σ of 2006
2006483 597.891(12) × 1092.5 × 10−8 +0.3 σ of 2002
2002483 597.879(41) × 1098.5 × 10−8 −1.0 σ of 1998
1998483 597.898(19) × 1093.9 × 10−8

“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