What does B represent?

There are 2 atoms in each unit cell. The volume of 1 unit cell is 30.4 Å³. The volume of each atom is 10.3 Å³. The volume of atoms in the cell is 20.6 Å³. The packing efficiency of the solid is 67.8 %.

(a) How many total atoms are there in each unit cell?

In body centered cubic cells, there are 2 atoms, 1 in the center and 1 resulting from the sum of the 1/8 atom of each of the 8 corners.

$N = 1 + 1/8 \times 8 = 2$

(b) What is the volume of one unit cell in Å³?

Since the cell is a cube with a side of 3.12 Å (s), we can calculate its volume (V) using the following expression.

$V = s^{3} = 3.12^{3} = 30.4 A^{3}$

(c) Assuming that the atoms are spheres and the radius (r) of each sphere is 1.35 Å, what is the volume of one atom in Å³?

We will use the following expression for the volume of the sphere.

$V = \frac{4}{3} \times \pi \times r^{3} = \frac{4}{3} \times \pi \times (1.35A)^{3}=10.3 A^{3}$

(d) Therefore, what volume of atoms are in one unit cell?

There are 2 atoms in the unit cell, each one with a volume of 10.3 Å³.

$2 \pi 10.3 A^{3} = 20.6 A^{3}$

(e) Based on your results from parts (b) and (d), what is the packing efficiency of the solid expressed as a percentage?

The volume of 1 unit cell is 30.4 Å³ and the volume occupied by atoms in the cell is 20.6 Å³. The packing efficiency of the solid is:

$E = \frac{20.6A^{3} }{30.4A^{3}} \times 100\% = 67.8\%$

There are 2 atoms in each unit cell. The volume of 1 unit cell is 30.4 Å³. The volume of each atom is 10.3 Å³. The volume of atoms in the cell is 20.6 Å³. The packing efficiency of the solid is 67.8 %.

Learn more: brainly.com/question/3037904

4 0

3 years ago

This symbol could be the dot diagram for which element listed below?

eduard

Oxygen
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3 0

3 years ago