2. In an FCC structure, the atoms are found on the corners of the cubic unit cell in the centers of each face. The unit cell has an edge whose length is the distance from the center of one corner atom to the center of another corner atom on the same edge. The atoms on the diagonal of any face are touching. a) One of the faces of the unit cell is shown below, draw the length of the boundary (edge length, a), diagonal length (b) and the radius of an atom (r). b.) What is the relationship between the length of the face diagonal and the radius of the atoms in the cell? Show your calculations. Face diagonal- c.) How is the radius of the atoms related to a? Show your calculations. d.) Silver metal crystals have an FCC structure. The unit cell edge in silver is 0.4086 nm long. What is the radius of a silver atom? Show your calculations.

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Chapter1: Chemical Foundations
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2. Ia an FCC structure, the atoms are found on the corners of the cubic unit cell in the centers of
each face,. The unit cell has an edge whose length is the distance from the center of one corner
atom to the center of another corner atom on the same edge. The atoms on the diagonal of any
face are touching.
a.) One of the faces of the unit cell is shown below, draw the length of the boundary (edge
length, a), diagonal length (b) and the radius of an atom (r).
88
b.) What is the relationship between the length of the face diagonal and the radius of the
atoms in the cell? Show your calculations.
Face diagonal =
c.) How is the radius of the atoms related to a? Show your calculations.
d.) Silver metal crystals have an FCC structure. The unit cell edge in silver is 0.4086 nm
long. What is the radius of a silver atom? Show your calculations.
Transcribed Image Text:2. Ia an FCC structure, the atoms are found on the corners of the cubic unit cell in the centers of each face,. The unit cell has an edge whose length is the distance from the center of one corner atom to the center of another corner atom on the same edge. The atoms on the diagonal of any face are touching. a.) One of the faces of the unit cell is shown below, draw the length of the boundary (edge length, a), diagonal length (b) and the radius of an atom (r). 88 b.) What is the relationship between the length of the face diagonal and the radius of the atoms in the cell? Show your calculations. Face diagonal = c.) How is the radius of the atoms related to a? Show your calculations. d.) Silver metal crystals have an FCC structure. The unit cell edge in silver is 0.4086 nm long. What is the radius of a silver atom? Show your calculations.
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