Step 1: Definition.
Schottky defect is a type of point defect in ionic crystals where equal number of cations and anions are missing from their lattice sites, maintaining electrical neutrality.
Step 2: Effect on density.
Since some ions are missing from the lattice, the mass of the unit cell decreases but the volume remains the same. Hence, the density of the lattice decreases.
Conclusion:
Schottky defect lowers the density of the crystal without disturbing its electrical neutrality.