ConstantID

Atomic unit of 2nd hyperpolarizability

UnitsMeasured

e4a04/Eh3 = 6.235 379 9735(39) × 10−65 C4 m4 J−3

Value
6.235 379 9735 × 10−65 C4 m4 J−3
Standard uncertainty
3.9 × 10−74 C4 m4 J−3
Relative uncertainty
6.3 × 10−10 (625 parts per trillion)
Status
Measured
Symbol
e4a04/Eh3
Source
CODATA 2022 via NIST · NIST entry

Use in a calculation

# atomic unit of 2nd hyperpolarizability, CODATA 2022 (NIST)
atomic_unit_of_2nd_hyperpolarizability = 6.2353799735e-65  # C^4 m^4 J^-3, standard uncertainty 3.9e-74

# SciPy: scipy.constants.physical_constants['atomic unit of 2nd hyperpolarizability']

What it is

The unit of 2nd hyperpolarizability in the Hartree system of atomic units, where the electron mass, the elementary charge, ħ and 4πε₀ are all set to 1. Its value here is the SI equivalent of one atomic unit.

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).

atomic unit of 2nd hyperpolarizability: CODATA values 1998–2022 relative to the 2022 value, in parts per billion, with one-standard-uncertainty bars−300−200−1000+100+200+300parts per billion1998200220062010201420182022

Relative uncertainty

atomic unit of 2nd hyperpolarizability: relative standard uncertainty in each CODATA adjustment, logarithmic scale10⁻¹⁰10⁻⁹10⁻⁸10⁻⁷10⁻⁶1998200220062010201420182022
CODATAValue (uncertainty)Relative uncertaintyChange from previous
20226.235 379 9735(39) × 10−656.3 × 10−10 −4.5 σ of 2018
20186.235 379 9905(38) × 10−656.1 × 10−10 −1.2 σ of 2014
20146.235 380 085(77) × 10−651.2 × 10−8 −1.6 σ of 2010
20106.235 380 54(28) × 10−654.5 × 10−8 −1.3 σ of 2006
20066.235 380 95(31) × 10−655.0 × 10−8 +0.1 σ of 2002
20026.235 3808(11) × 10−651.8 × 10−7 −0.6 σ of 1998
19986.235 381 12(51) × 10−658.2 × 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).