A body-centered cubic (BCC) unit cell is composed of a cube with one atom at each of its corners and one atom at the center of the cube.
Recall that the edge length (a) of a BCC unit cell can be calculated using the equation:
Step 1: Calculate the volume of 1 unit cell using density
Recall the # of atoms present per 1 BCC unit cell: corner atoms contribute 1/8 and the center atom contribute 1
# of atoms = 2 per 1 unit cell
• Solving volume of 1 unit cell:
volume of unit cell = 2.406 x 10-23 cm3
Chromium crystallizes with a body-centered cubic unit cell. The radius of a chromium atom is 125 pm. Calculate the density of solid crystalline chromium in grams per cubic centimeter.
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