Consider a cubic crystal of lattice constant ‘a’.
The density of the crystal = ρ
Volume of the unit cell = a³
Eqn 1
Mass in each unit cell = ρa³
The number of atoms per unit cell = n
The atomic weight of the material = M
Avogadros number = N
(number of molecules per kg mole of the substance)
Mass of each molecule
where, M is atomic weight
Eqn 2
Mass in each unit cell
(for n atoms)
From equations (1) and (2), we have
From the above equation, the value of lattice constant ‘a’ can be calculated.
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