Calculate the radius of a nickel atom in cm, given that Ni has an FCC crystal structure, a density of 8.90 g/cm3, and an atomic weight of 58.69 g/mol.

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Problem 3.09 (GO Tutorial)

Calculate the radius of a nickel atom in cm, given that Ni has an FCC crystal structure, a density of 8.90 g/cm3, and an atomic weight of 58.69 g/mol.

Problem 3.11

A hypothetical metal has the simple cubic crystal structure shown in Figure 3.3. If its atomic weight is 70.4 g/mol and the atomic radius is 0.144 nm, compute its density.

Problem 3.16

A hypothetical alloy has an atomic weight of 91.6 g/mol, a density of 9.60 g/cm3, and an atomic radius of 0.137 nm. Determine whether its crystal structure is FCC, BCC, or simple cubic. A simple cubic unit cell is shown in Figure 3.3.

Problem 3.19

Beryllium has an HCP unit cell for which the ratio of the lattice parameters c/a is 1.568. If the radius of the Be atom is 0.1143 nm, (a) determine the unit cell volume, and (b) calculate the theoretical density of Be, given that its atomic weight is 9.01 g/mol.

Determine the indices for the directions shown in the following cubic unit cell.

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Problem 3.47 (GO Multistep)

Determine the Miller indices for the planes shown in the following cubic unit cell.

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Part 1

 

In this problem, you are asked to determine the Miller indices for the planes shown in this unit cell.

Start with plane B. Since the plane does not pass through the origin, use the coordinate system shown.

What are the intersections of this plane with the coordinate axes?

(a) What is the intercept of this plane with the x-axis? (b) What is the intercept of this plane with the y-axis? (c) What is the intercept of this plane with the z-axis?