Key to Quiz #3 - Friday, April 19
ODD (i.e.top) PROBLEMS:
-
What is the name of this unit cell?
- Body-Centered Cubic (BCC)
- Face-Centered Cubic (FCC)
- Hexagonal Closest Packed (HCP)
- Cubic Closest Packed (CCP)
- 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.
-
How many atoms are in this unit cell?
- 2
- 3
- 4
- 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.
-
Copper, an FCC metal, has an atomic radius of 1.28Å. Calculate the volume of the unit cell.
- 47.5 Å3
- 41.1 Å3
- 38.8 Å3
- 26.2 Å3
- 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.
-
Silicon has a diamond unit cell. How many atom are inside it?
- 4
- 6
- 8
- 10
- 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:
-
How many atoms are in this unit cell?
- 2
- 4
- 8
- 10
- 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.
-
What is the name of this unit cell?
- Body-Centered Cubic (BCC)
- Face-Centered Cubic (FCC)
- Hexagonal Closest Packed (HCP)
- Cubic Closest Packed (CCP)
- B and D
ANSWER: Body-Centered Cubic (BCC), A.
-
Silver, an FCC metal, has an atomic radius of 1.45Å. Calculate the volume of the unit cell.
- 78.5 Å3
- 61.2 Å3
- 69.0 Å3
- 58.0 Å3
- 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.
-
How many tetrahecral holes exist in one FCC unit cell?
- 2
- 4
- 8
- 6
- 10
ANSWER: Eight - four in the bottom half, and another four in the top, C.
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Last modified: April 19, 1996