Physics20755 marksNumerical: close-packed spheres volume ratioCrystal structure
Assuming that atoms in a crystal structure and arranged as close-packed spheres, what is the ratio of the volume of the atoms to the volume available for the simple cubic structure? Assume a one atom basis.
Assuming that atoms in a crystal structure and arranged as close-packed spheres, what is the ratio of the volume of the atoms to the volume available for the simple cubic structure? Assume a one atom basis. [5]
- Structure: simple cubic (SC) - Basis: one atom - Atoms treated as close-packed hard spheres - Required: ratio $\dfrac{\text{volume of atoms}}{\text{volume of unit cell}}$ No numerical values are given (this is a derivation problem); the result is expressed symbolically. --- Atomic radius vs lat...