Shared by 8 unit cells Shared by 2 unit cells.

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Presentation transcript:

Shared by 8 unit cells Shared by 2 unit cells

1 atom/unit cell (8 x 1/8 = 1) 2 atoms/unit cell (8 x 1/8 + 1 = 2) 4 atoms/unit cell (8 x 1/8 + 6 x 1/2 = 4)

Counting Atoms in Unit Cells: Inside: 1 Face:½ Edge:¼ Corner:1/8

When silver crystallizes, it forms face-centered cubic cells. The unit cell edge length is 409 pm. Calculate the density of silver.

Unit Cells, Dimensions and Measurements: Ca metal: Face centered cubic unit cell Density = 1.54 g/cm 3 What is the radius of a Ca atom?

What fraction of a simple cubic unit cell is filled with atoms? What fraction of a face-centered cubic unit cell is filled with atoms?

Extra distance = BC + CD = 2d sin  = n (Bragg Equation)

X rays of wavelength nm are diffracted from a crystal at an angle of Assuming that n = 1, what is the distance (in pm) between layers in the crystal?

Summary of types and properties of crystals