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6.3.1: Unit Cells (Problems)

  • Page ID
    235789
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    PROBLEM \(\PageIndex{1}\)

    Describe the crystal structure of iron, which crystallizes with two equivalent metal atoms in a cubic unit cell.

    Answer

    The structure of this low-temperature form of iron (below 910 °C) is body-centered cubic. There is one-eighth atom at each of the eight corners of the cube and one atom in the center of the cube.

    PROBLEM \(\PageIndex{2}\)

    Describe the crystal structure of Pt, which crystallizes with four equivalent metal atoms in a cubic unit cell.

    Answer

    This structure of platinum is a face-centered cubic. There is one-eighth atom at each of the eight corners of the cube and one-half atom on each of the six faces of the cube.

    PROBLEM \(\PageIndex{3}\)

    What is the coordination number of a chromium atom in the body-centered cubic structure of chromium?

    Answer

    eight

    PROBLEM \(\PageIndex{4}\)

    What is the coordination number of an aluminum atom in the face-centered cubic structure of aluminum?

    Answer

    12

     

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