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rewona [7]
3 years ago
12

Arrange the three common unit cells in order from least dense to most dense packing. a. face-centered cubic < body-centered c

ubic < primitive cubic b. primitive cubic < body-centered cubic < face-centered cubic c. primitive cubic < face-centered cubic < body-centered cubic d. body-centered cubic < primitive cubic < face-centered cubic e. body-centered cubic < face-centered cubic < primitive cubic
Chemistry
1 answer:
maks197457 [2]3 years ago
3 0

Answer:

b. primitive cubic < body-centered cubic < face-centered cubic  

Explanation:

The coordination number is defined as <em>the number of atoms (or ions) surrounding an atom (or ion) in a crystal lattice</em>. Its value gives us a measure of how tightly the spheres are packed together. The larger the coordination number, the closer the spheres are to each other.

  • In the <u>primitive cubic</u>, each sphere is in contact with 6 spheres, so its <u>coordination number is 6</u>.
  • In the <u>body-centered cubic</u>, each sphere is in contact with 8 spheres, so its <u>coordination number is 12</u>.
  • In the <u>face-centered cubic</u>, each sphere is in contact with 12 spheres, so its <u>coordination number is 12</u>.

Therefore, the increasing order in density is the primitive cubic first, then the body-centered cubic, and finally the face-centered cubic.

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