Titanium has an HCP unit cell for which the ratio of the lattice parameters c/a is 1.58. If the radius of the Ti atom is 0.1445 nm, calculate the density of Ti and compare it with the literature value of 4.51 g/cm3 . The atomic mass of titanium is 47.87 g/mol.

4.81 g / mol

Explanation:

Given :

Titanium has an HCP unit cell

Radius of titanium, R = 0.1445 nm

Unit cell volume,

But for Ti, c/a = 1.58

           So, c  = 1.58 a

And a = 2R or c = 3.16 R

Density of Ti (theoretical),

For HCP, n = 6 atoms per unit cell and atomic mass = 47.87 g/mol

  = 4.81 g/mol

This is the theoretical density of titanium.

The value given in literature is 4.51 g/mol

c, liquids evaporate, creating a gas