Problem: Consider a face-centered cubic unit cell as shown here.a. How many corner atoms are shown in this image?b. What fraction of each corner atom is inside the boundaries of the cube?c. How many face atoms are shown in this image?d. What fraction of each face atom is inside the boundaries of the cube?e. If you sum all the fractions of atoms, how many atoms are actually inside a face-centered cubic unit cell?

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FREE Expert Solution
84% (219 ratings)
Problem Details

Consider a face-centered cubic unit cell as shown here.

a. How many corner atoms are shown in this image?

b. What fraction of each corner atom is inside the boundaries of the cube?

c. How many face atoms are shown in this image?

d. What fraction of each face atom is inside the boundaries of the cube?

e. If you sum all the fractions of atoms, how many atoms are actually inside a face-centered cubic unit cell?

Solution Details

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Based on our data, we think this problem is relevant for Professor Mandelshtam's class at UCI.