Answer Happy

Advance Study Assignment: The Structure of Crystals 1. Many substances crystallize in a cubic structure. The unit cell for such crystals is a cube having an edge with a length equal to do. do Face diagonal a. What is the length, in terms of do, of the face diagonal, which runs diagonally across one face of the cube? b. What is the length, again in terms of d, of the cube diagonal, which runs from one corner, through the center of the cube, to the other corner? Hint: Make a right triangle having a face diagonal and an edge of the cube as its sides, with the hypotenuse equal to the cube diagonal. 2. In an FCC structure, the atoms are found on the corners of the cubic unit cell and 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. One of the faces of the unit cell is shown below.
2. In an FCC structure, the atoms are found on the corners of the cubic unit cell and 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. One of the faces of the unit cell is shown below. 88 a. Show the distance d on the sketch. Draw the boundaries of the unit cell. b. What is the relationship between the length of the face diagonal and the radius of the atoms in the cell? Face diagonal = (continued on following page) Copyright 2011 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it.
124 Experiment 16 The Structure of Crystals-An Experiment Using Models c. How is the radius of the atoms related to d.? 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? nim