The image above represents theoretical density of ceramics.

To compute for theoretical density of ceramics, five essential parameters are needed and these parameters are **Number of formula units in unit cell (n’), Sum of atomic weights of atoms (ΣA _{c}), Sum of atomic weights of anions (ΣA_{A}), Unit cell volume (V_{c}) **and

**Avogadro’s number (N**

_{A}).The formula for calculating theoretical density of ceramics:

ρ = ^{n'(ΣAc + ΣAA)} / _{V}_{c}N_{A}

Where:

ρ = Theoretical Density of Ceramics

n’ = Number of Formula Units in Unit Cell

ΣA_{c} = Sum of Atomic Weights of Atoms

ΣA_{A} = Sum of Atomic Weights of Anions

V_{c} = Unit Cell Volume

N_{A} = Avogadro’s Number

Let’s solve an example;

Find the theoretical density of ceramics when the number of formula units in unit cell is 12, the sum of atomic weights of atoms is 8, the sum of atomic weights of anions is 10, the unit cell volume is 9 and the avogadro’s number is 6.02214e+23.

This implies that;

n’ = Number of Formula Units in Unit Cell = 12

ΣA_{c} = Sum of Atomic Weights of Atoms = 8

ΣA_{A} = Sum of Atomic Weights of Anions = 10

V_{c} = Unit Cell Volume = 9

N_{A} = Avogadro’s Number = 6.02214e+23

ρ = ^{n'(ΣAc + ΣAA)} / _{VcNA}

ρ = ^{(12)(8 + 10) }/ _{(9)(6.02214e+23)}

ρ = ^{(12)(18) }/ _{(5.4199e+24)}

ρ = ^{(216)}/_{(5.4199e+24)}

ρ = 3.98e-23

Therefore, the **theoretical density of ceramics **is **3.98e-23.**

Continue reading How to Calculate and Solve for Theoretical Density of Ceramics | Ceramics