Problem: An ideal quantum dot for use in TVs does not contain any cadmium due to concerns about disposal. One potential material for this purpose is InP, which adopts the zinc blende (ZnS) structure (face-centered cubic). The unit cell edge length is 5.869  Å.If the quantum dot is shaped like a cube, how many of each type of atom are there in a cubic crystal with edge length of 3.00 nm?

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FREE Expert Solution

The face-centered cubic lattice contains an atom in each of the face of the cube and an atom in each of the corners. 


Step 1: Determine how many atoms are present in 1 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
An ideal quantum dot for use in TVs does not contain any cadmium due to concerns about disposal. One potential material for this purpose is InP, which adopts the zinc blende (ZnS) structure (face-centered cubic). The unit cell edge length is 5.869  Å.

If the quantum dot is shaped like a cube, how many of each type of atom are there in a cubic crystal with edge length of 3.00 nm?