Crystal Lattice Structures: Density Calculation 1

The video tutorial explains how to calculate the density of Gadolinium, which forms a hexagonal close packed structure. The atomic radius is given, and a conversion factor is used to express it in centimeters. The density formula for hexagonal close packed structures is applied, involving the atomic mass and Avogadro's number. The tutorial emphasizes the importance of using correct parentheses in calculations. The final density is calculated and rounded to 7.92 grams per cubic centimeter.

What type of structure does Gadolinium form?

• Cubic close packed

• Face-centered cubic

• Hexagonal close packed

• Body-centered cubic

What is the conversion factor from angstroms to centimeters?

• 1 angstrom = 10^-8 cm

• 1 angstrom = 10^-7 cm

• 1 angstrom = 10^-10 cm

• 1 angstrom = 10^-9 cm

Which formula is used to calculate the density of a hexagonal close packed structure?

• Density = mass/volume

• Density = 6 * atomic mass / (24√2 * radius^3)

• Density = atomic mass / volume

• Density = 4 * atomic mass / (π * radius^3)

What is the molecular weight of Gadolinium used in the calculation?

• 155.25 grams per mole

• 160.25 grams per mole

• 150.25 grams per mole

• 157.25 grams per mole

What is the final calculated density of Gadolinium in grams per cubic centimeter?

• 7.72

• 7.92

• 7.82

• 8.02