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Problem: The unit cell of a compound containing potassium, aluminum, and fluorine is shown here.What type of lattice does this crystal possess (all three lattice vectors are mutually perpendicular)?

FREE Expert Solution

A unit cell is the smallest portion of a crystal lattice.


A cubic unit cell has 8 corners, 6 faces, and 1 center. An atom placed in each point occupies a certain fraction of the volume of the cube:

• Corner → 1/8 of the atom is inside the cubic unit cell

• Face → ½ of the atom is inside the cubic unit cell

• Center → 1 whole of the atom is inside the cubic unit cell


There are different types of unit cells. The most common are:

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Problem Details

The unit cell of a compound containing potassium, aluminum, and fluorine is shown here.

A rectangular cuboid has K as the corners, Al in the center, and 6 F atoms around the center. The height is 6.18 angstroms and length and width are 3.55 angstroms.

What type of lattice does this crystal possess (all three lattice vectors are mutually perpendicular)?

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What scientific concept do you need to know in order to solve this problem?

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