Amedeo Avogadro, the scientist the number is named after
The Avogadro's number is a fixed numerical value equal to the number of constituent particles contained within one mole of substance. It is precisely equal to \(6.02214076 \times 10^{23}\).[1] It is currently used to define mole.
A related term is Avogadro constant, denoted as \(N_A\), which is equal to \(6.02214076 \times 10^{23}\) mol-1.[2]
Before 2019 redefinition of the SI base units, the Avogadro constant was defined as the number of atoms in 12 grams of 12C, and was approximetaly equal to \(6.022140857 \times 10^{23}\text{ mol}^{-1}\).
Approximations[]
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(6.02214076\times10^{23}\) (exact) | |
| Arrow notation | \(5\uparrow34\) | \(2\uparrow79\) |
| Steinhaus-Moser Notation | 18[3] | 19[3] |
| Copy notation | 5[24] | 6[24] |
| Taro's multivariable Ackermann function | A(3,75) | A(3,76) |
| Pound-Star Notation | #*(2,1,2,3)*5 | #*(3,1,2,3)*5 |
| BEAF | {5,34} | {2,79} |
| Hyper-E notation | 6E23 | E[2]79 |
| Bashicu matrix system | (0)(0)(0)[938] | (0)(0)(0)[939] |
| Hyperfactorial array notation | 23! | 24! |
| Fast-growing hierarchy | \(f_2(72)\) | \(f_2(73)\) |
| Hardy hierarchy | \(H_{\omega^2}(72)\) | \(H_{\omega^2}(73)\) |
| Slow-growing hierarchy | \(g_{\omega^{17}20+\omega^{15}20}(21)\) | \(g_{\omega^{17}20+\omega^{16}}(21)\) |
Sources[]
- ↑ Bureau International des Poids et Mesures (2019) The International System of Units (SI) 9th edition. ISBN 978-92-822-2272-0 p.134.
- ↑ CODATA Value: Avogadro constant
See also[]
Large numbers in science
Sagan's number · Avogadro's number · Eddington number · Planck units · Promaxima · Poincaré recurrence time · Universe size