Atomic unit of 1st hyperpolarizability
UnitsMeasured
= 3.206 361 2996(15) × 10−53 C3 m3 J−2
- Value
- 3.206 361 2996 × 10−53 C3 m3 J−2
- Standard uncertainty
- 1.5 × 10−62 C3 m3 J−2
- Relative uncertainty
- 4.7 × 10−10 (468 parts per trillion)
- Status
- Measured
- Symbol
- Source
- CODATA 2022 via NIST · NIST entry
Use in a calculation
Plain
LaTeX
Python
# atomic unit of 1st hyperpolarizability, CODATA 2022 (NIST)
atomic_unit_of_1st_hyperpolarizability = 3.2063612996e-53 # C^3 m^3 J^-2, standard uncertainty 1.5e-62
# SciPy: scipy.constants.physical_constants['atomic unit of 1st hyperpolarizability']What it is
The unit of 1st 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).
Relative uncertainty
| CODATA | Value (uncertainty) | Relative uncertainty | Change from previous |
|---|---|---|---|
| 2022 | 3.206 361 2996(15) × 10−53 | 4.7 × 10−10 | −4.3 σ of 2018 |
| 2018 | 3.206 361 3061(15) × 10−53 | 4.7 × 10−10 | −1.1 σ of 2014 |
| 2014 | 3.206 361 329(20) × 10−53 | 6.2 × 10−9 | −1.7 σ of 2010 |
| 2010 | 3.206 361 449(71) × 10−53 | 2.2 × 10−8 | −1.0 σ of 2006 |
| 2006 | 3.206 361 533(81) × 10−53 | 2.5 × 10−8 | +0.1 σ of 2002 |
| 2002 | 3.206 361 51(28) × 10−53 | 8.7 × 10−8 | −0.4 σ of 1998 |
| 1998 | 3.206 361 57(14) × 10−53 | 4.4 × 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).