Problem: The unit cell of nickel arsenide is shown here. What type of lattice does this crystal possess?

FREE Expert Solution

A unit cell is the smallest representation of an entire crystal:

The hexagonal closest packed (hcp) - contains 6 atoms per unit cell.

The face-centered cubic (fcc) - contains 4 atoms per unit cell

The body-centered cubic (bcc) -  contains 2 atoms per unit cell.

The simple cubic - contains 1 atom per unit cell.


In a unit cell: atoms have different contribution depending on their location

                                                  contribution
corner atoms                                 1/8
atoms in center                             1
atoms in face of the cube            1/2 


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Problem Details

The unit cell of nickel arsenide is shown here. Side view: a cube with sides of 5.10 angstroms has Ni as its corners and in the center of each edge. Within the cube are two As atoms. Top view: A rhombus with Ni as the corners has sides of 3.5 angstroms and corner angles of 120 degrees. Two As atoms are inside.

What type of lattice does this crystal possess?

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