Referring to the BCC lattice structure shown below: a. Determine the number of equivalent whole atoms in the unit cell. b. Calculate the relation between ‘a’ and ‘r’. c. Calculate the atomic packing factor of the BCC lattice structure.

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Crystal Lattices and Unit Cell

Consider a crystal. The regular and repeating pattern of constituent particles is the most distinguishing feature of crystalline solids. A crystal lattice is formed when these particles are replaced with representative points. The three-dimensional arrangement of constituent particles is known as a crystal lattice. Unit cell is that the smallest portion of a space lattice which when repeated in several directions, generate the whole lattice. Unit cell is a building block of a lattice. It is the smallest unit of cell.