how many unit cells in fcc gold?
To determine the number of unit cells in a face-centered cubic (FCC) structure of gold, we can use the formula:
Number of Unit Cells in FCC Structure = (Number of Atoms per Unit Cell) / (Number of Atoms in the Basis)
In the case of gold, the FCC structure has 4 atoms per unit cell and each atom is at the corners of the unit cell along with 1/8th of an atom at the face-centered position. Hence, the basis contains a total of 4 atoms.
Now, substitute the values into the formula:
Number of Unit Cells in FCC Structure = 4 / 4 = 1
Therefore, there is only 1 unit cell in the FCC structure of gold.