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The structure of NaCl is given. Determine its lattice constant, a, and its density. Hint: since...

The structure of NaCl is given. Determine its lattice constant, a, and its density. Hint: since NaCl is ionic use the ion radius data and the atomic radii.

Solutions

Expert Solution

NaCl has FCC structure.

Lattice constant, a can be calculated using ionic radii of Na+ and Cl-.

Ionic radius of Na+ is 1.02 and radius of Cl- is 1.81

Thus, a=(2*radius of Na+)+(2*radius of Cl-)

a=(2*1.02)+(2*1.81)

Lattice constant,a=5.66=5.66*10-8cm

Density for FCC is given by

where n is the number of atoms per unit cell=4 (For FCC, n=4)

M is the molecular mass of NaCl=58.44 g/mol

NA is Avogardo's Number= 6.022*1023 atoms/mole


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