Key to Quiz #3 - Friday, April 19


ODD (i.e.top) PROBLEMS:



  1. What is the name of this unit cell?
    1. Body-Centered Cubic (BCC)
    2. Face-Centered Cubic (FCC)
    3. Hexagonal Closest Packed (HCP)
    4. Cubic Closest Packed (CCP)
    5. B and D
    ANSWER: This unit cell is Face-Centered Cubic (FCC) which is one of two Cubic Closest Packed (CCP) unit cells (the other being Hexagonal Closest Packed, HCP). Therefore, E is the most correct answer.


  2. How many atoms are in this unit cell?
    1. 2
    2. 3
    3. 4
    4. 5
    5. 6
    ANSWER: Two - because one eighth of each of the corner atoms are "in", and the center atom is completely inside giving a total of two, A.

  3. Copper, an FCC metal, has an atomic radius of 1.28Å. Calculate the volume of the unit cell.
    1. 47.5 Å3
    2. 41.1 Å3
    3. 38.8 Å3
    4. 26.2 Å3
    5. 52.4 Å3
    ANSWER: It`s 47.5 Å3. Remember that the face diagonal is 4r, so that the cell volume will be (4r/21/2)3. A.

  4. Silicon has a diamond unit cell. How many atom are inside it?
    1. 4
    2. 6
    3. 8
    4. 10
    5. 12
    ANSWER: It`s 8 - because the FCC unit cell contains four atoms, and four additional atoms are inserted into tetrahedral holes in order to obtain the diamond unit cell, C.


EVEN (i.e. bottom) PROBLEMS:



  1. How many atoms are in this unit cell?
    1. 2
    2. 4
    3. 8
    4. 10
    5. 12
    ANSWER: Four - It`s FCC: One eighth of each of the corner atoms are "in", and half of each of the face atoms giving a total of four, B.


  2. What is the name of this unit cell?
    1. Body-Centered Cubic (BCC)
    2. Face-Centered Cubic (FCC)
    3. Hexagonal Closest Packed (HCP)
    4. Cubic Closest Packed (CCP)
    5. B and D
    ANSWER: Body-Centered Cubic (BCC), A.

  3. Silver, an FCC metal, has an atomic radius of 1.45Å. Calculate the volume of the unit cell.
    1. 78.5 Å3
    2. 61.2 Å3
    3. 69.0 Å3
    4. 58.0 Å3
    5. 116.0 Å3
    ANSWER: It`s 69.0 Å3. Remember that the face diagonal is 4r, so that the cell volume will be (4r/21/2)3. C.

  4. How many tetrahecral holes exist in one FCC unit cell?
    1. 2
    2. 4
    3. 8
    4. 6
    5. 10
    ANSWER: Eight - four in the bottom half, and another four in the top, C.

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Last modified: April 19, 1996