## FANDOM

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The Avogadro constant is a constant equal to the number of constituent particles contained within one mole of substance. It is precisely equal to $$6.02214076 \times 10^{23}\text{ mol}^{-1}$$.[1]

A related term is Avogadro's number, a dimensionless constant equal to $$6.02214076 \times 10^{23}$$, which is currently used to define mole.

It was originally 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 $$6.022\times10^{23}$$ $$6.023\times10^{23}$$
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 $$g_{\omega^{17}20+\omega^{15}20}(21)$$ $$g_{\omega^{17}20+\omega^{16}}(21)$$