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 problem involves converting the atomic radius from angstroms to centimeters and using a specific density formula. The tutorial walks through the steps of identifying known values, applying the formula, and performing calculations to find the density in grams per cubic centimeter, resulting in a final value of approximately 7.92 g/cm³.

What type of structure does Gadolinium form?

• Body-centered cubic

• Cubic close packed

• Face-centered cubic

• Hexagonal close packed

What is the conversion factor from angstroms to centimeters?

• 1 angstrom = 10^-10 cm

• 1 angstrom = 10^-8 cm

• 1 angstrom = 10^-6 cm

• 1 angstrom = 10^-9 cm

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

• 157.25 grams per mole

• 150.25 grams per mole

• 160.25 grams per mole

• 155.25 grams per mole

Which constant is used to represent the number of atoms per mole?

• 6.022 x 10^23

• 6.022 x 10^22

• 6.022 x 10^24

• 6.022 x 10^21

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

• 7.92

• 7.82

• 7.72

• 7.62