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13. Liquids, Solids & Intermolecular Forces
Simple Cubic Unit Cell
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Polonium metal crystallizes in a simple cubic arrangement. If the unit cell edge length is 334 pm, what is the atomic radius of polonium?
A
83.5 pm
B
167 pm
C
250 pm
D
334 pm
Verified step by step guidance1
Understand that in a simple cubic arrangement, each corner of the cube is occupied by an atom, and the atoms touch each other along the edge of the cube.
Recognize that the edge length of the unit cell is equal to twice the atomic radius in a simple cubic structure because the atoms are touching each other along the edge.
Express the relationship between the edge length (a) and the atomic radius (r) using the formula: a = 2r.
Substitute the given edge length of 334 pm into the formula: 334 pm = 2r.
Solve for the atomic radius (r) by dividing the edge length by 2: r = 334 pm / 2.
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