Worksheet: Density of a Cubic Lattice

In this worksheet, we will practice calculating the density of a cubic lattice using the molecular formula, lattice parameters, and Bravais lattice type.

Q1:

Thallium(I) iodide crystallizes with the same type of cubic lattice as cesium chloride. The edge length of the unit cell is 4.20 Å and the radius of the iodide ion is 2.16 Å.

Calculate the radius of a thallium ion in this structure.

Calculate the density of thallium(I) iodide.

Q2:

Lithium hydride crystallizes with the same type of cubic lattice as sodium chloride. The edge length of the unit cell is 4.083 Å. Assume that there is contact between the hydride ions along the face diagonal of the unit cell.

Calculate to 3 significant figures the radius of a hydride ion in this structure.

Calculate to 3 significant figures the density of lithium hydride.

Q3:

Magnesium oxide crystallizes with the same type of cubic lattice as sodium chloride. The edge length of the unit cell is 4.212 Å. Assume that there is contact between the oxide ions along the face diagonal of the unit cell.

Calculate the radius of an oxide ion in this structure.

Calculate the density of magnesium oxide.

Q4:

Barium has a body-centered cubic unit cell with an edge length of 5.025 Å.

Calculate the radius of a barium atom in this structure.

Calculate the density of barium.

Q5:

Tungsten has a body-centered cubic unit cell with an edge length of 3.165 Å.

Calculate the radius of a tungsten atom in this structure.

Calculate the density of tungsten to 3 significant figures.

Q6:

L i C l and KCl both have face-centered cubic unit cells. The unit cell of LiCl has an edge length of 0.514 nm, while the unit cell of KCl has an edge length of 6.28 Å. There is contact between the potassium and chloride ions along the edge of the KCl cell and between the chloride ions along the face diagonal of the LiCl cell. Assume that the chloride ions have the same radii in the two salts.

Calculate the radius of a chloride ion in LiCl.

Calculate the radius of a potassium ion in KCl.

Calculate the density of LiCl.

Calculate the density of KCl.

Q7:

Silver has a face-centered cubic unit cell with an edge length of 409 pm.

Calculate the radius of a silver atom in this structure.

Calculate the density of silver.

Q8:

Calcium has a face-centered cubic unit cell with an edge length of 558.8 pm.

Calculate the radius of a calcium atom in this structure.

Calculate the density of calcium.

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