A hypothetical metal of tetragonal crystal structure has lattice parameter of a = b = 0.459 nm, and c = 0.495 nm. It has an APF = 0.692. and atomic radius = 0.1625 nm. Compute: a.) the number of atoms in its unit cell? b.) its true density (in grams/cm3) if its mol. weight = 114.82.

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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.