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The properties of a given metal are greatly dependent upon the way in which the

ID: 1007528 • Letter: T

Question

The properties of a given metal are greatly dependent upon the way in which the atoms are arranged. A unit cell is like a "zoomed-in" view of a substance that allows us to see the basic pattern of the arrangement of atoms. In this problem you will study several types of cubic arrangements: the simple cubic, (Figure 1) the face-centered cubic, (Figure_2) and the body- centered cubic.(Figure_3) Bismuth is a nontoxic metal that is used in pharmaceuticals and chemicals. Bismuth has a simple cubic unit cell. How many atoms of Bi are present in each unit cell? Express your answer as an integer. Gold has a face-centered cubic unit cell. How many atoms of Au are present in each unit cell? Express your answer as an integer. Iron has a body-centered cubic unit cell. How many atoms of Fe are present in each unit cell? Express your answer as an integer.

Explanation / Answer

part A

simple cubic No of atoms = 8*1/8 = 1

Bi atoms = 1

part B

FCC = 8*1/8+6*1/2 = 4 atoms

Au = 4 atoms

part C

BCC = 8*1/8+1 = 2

Fe = 2 atoms