Avogadro’s Number via Density Calculator

Calculate Avogadro’s Number via Density

Input Fields

Z (Number of molecules in unit cell)

M (Average atomic mass)

D (Density) g/cm³

V (Volume) cm³

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Avogadro’s Number (mole⁻¹)

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Avogadro’s Number Density-Based Formula

$$N_A = \frac{Z \times M}{D \times V}$$

Where:

• $$N_A$$ = Avogadro’s Number
• $$Z$$ = Number of atoms per unit cell
• $$M$$ = Molar mass (g/mol)
• $$D$$ = Density (g/cm³)
• $$V$$ = Volume of unit cell (cm³)

This formula is commonly used in solid-state physics and crystallography to estimate Avogadro’s number based on atomic structure and material properties.

In solid-state chemistry, Avogadro’s number can be derived from experimental data. The formula relates the number of atoms per unit cell, molar mass, density, and volume of the unit cell. It is particularly useful for metals and crystals, where you know the unit cell parameters. This method gives insight into the microscopic structure of matter and helps link macroscopic measurements to molecular quantities.