| Constant | Expression | Value | Notes | Percent Error | % Correct |
|---|---|---|---|---|---|
| speed of light | c | 3p8 | +0 | 90%
| |
| Avogadro | NA | 6p23 | conversion from protons to grams | -0 | 90%
|
| gravitational | G | 7n11 | the coefficient is closer to a simple fraction | +5 | 60%
|
| Joules per (small-c) calorie | 4 | -4 | 50%
| ||
| Coulomb | 1/4πε0 | 9p9 | +0 | 30%
| |
| reciprocal of fine structure | 1/α | 137 | -0 | 20%
| |
| Boltzmann | k | 1.4n23 | just one digit is too sloppy | +1 | 20%
|
| reduced Planck | ℏ | 1n34 | -5 | 20%
| |
| Biot-Savart | μ0/4π | 1n7 | 1/ε0μ0 = c2 | +0 | 20%
|
| electron masses per nucleon | 2p3 | +9 | 10%
| ||
| reduced Compton wavelength | ƛ = ℏ/mec | 4n13 | the Bohr radius is ƛ/α and the classical electron radius is ƛα | +4 | 10%
|
| eV per Joule or electrons per Coulomb | 6p18 | convenient conversion from atomic to macroscopic scale | -4 | 10%
| |
| Bohr magneton | eℏ/2me | 9n24 | -3 | 10%
|