ConstantID

Conductance quantum

ElectromagneticExact

G0 = 7.748 091 729… × 10−5 S

Value
7.748 091 729… × 10−5 S
Standard uncertainty
exact
Relative uncertainty
exact
Status
Exact since the 2019 SI redefinition
Symbol
G0
Source
CODATA 2022 via NIST · NIST entry

NIST prints this exact value cut to 10 digits. ConstantID recomputes it from the defining constants: 7.748 091 729 863 650 646 680 823 323 31 × 10−5…

Use in a calculation

# conductance quantum, CODATA 2022 (NIST)
conductance_quantum = 7.7480917298636506466808233233087639e-5  # S, exact

# SciPy: scipy.constants.physical_constants['conductance quantum']

What it is

The conductance of a single perfect one-dimensional channel for electrons, counting both spin directions. Atomic-scale wires and quantum point contacts conduct in steps of G₀.

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

  • G0=2e2h=2RKdefinition

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.

conductance quantum: CODATA values 1998–2022 relative to the 2022 value, in parts per billion, with one-standard-uncertainty bars−6−4−20+2+4+6parts per billion1998200220062010201420182022

Relative uncertainty

conductance quantum: relative standard uncertainty in each CODATA adjustment, logarithmic scale10⁻¹⁰10⁻⁹10⁻⁸199820022006201020142018exact2022exact
CODATAValue (uncertainty)Relative uncertaintyChange from previous
20227.748 091 729… × 10−5exact exact
20187.748 091 729… × 10−5exact −1.1 σ of 2014
20147.748 091 7310(18) × 10−52.3 × 10−10 −1.4 σ of 2010
20107.748 091 7346(25) × 10−53.2 × 10−10 +6.5 σ of 2006
20067.748 091 7004(53) × 10−56.8 × 10−10 −1.3 σ of 2002
20027.748 091 733(26) × 10−53.4 × 10−9 +1.3 σ of 1998
19987.748 091 696(28) × 10−53.6 × 10−9

“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