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7.7: Problems

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    1. Show in a drawing how a planar dislocation moves through a solid under stress.

    2. Why is a metal sample that has been annealed more malleable than one that has been work hardened? Explain which state of the metal has smaller crystal grains and why.

    3. Explain (on the basis of structure) why alloys such as bronze make better structural materials than the constituent metals (copper and tin). How did the discovery of these alloys change civilization?

    4. A layer sequence for an FCC = CCP metal is shown below. A body diagonal passes through the centers of atoms numbered 1 and 12. A close-packed plane perpendicular to this diagonal contains the centers of atoms numbered 3, 7, 8, 11, 13, and 14.

    Left most atom is numbered one through five, with five being in the center and a z value of 0. Center atom is numbered six through nine with the numbers being placed on the sides of the atom. It has a z value of one half. The right atom is numbered ten through fourteen with fourteen in the center. It has a z value of one.

    (a) Other close-packed planes of atoms parallel to this one pass through the cell. Segregate the remaining eight numbered atoms (not contained by this plane) into groups by the parallel plane that contains the center of the atom.

    (b) Identify the other body diagonals by the numbered atoms that the diagonals pass through, and also identify one representative face diagonal by numbered atoms.

    5. Identify the Bravais lattices that go with cubic unit cells (a) - (d). Remember that the origin of the unit cell is arbitrary.

    Cube a has one dot in the middle. Cube b has two dots, one at the top and one at the bottom. Cube c has a cluster of four dots randomly in the middle. cube d has six dots, one at the top, one at the bottom, two on the front face and two on the back face.

    This page titled 7.7: Problems is shared under a CC BY-SA 4.0 license and was authored, remixed, and/or curated by Chemistry 310 (Wikibook) via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request.