Two hypothetical elements A and B, adopt simple cubic and body-centered cubic cells, respectively. They have the same atomic radii of 120 pm and the atomic mass of A is 114 g/mol. They also have the same densities. The hypothetical atom C is inserted to the center of unit cell of A. In this new unit cell, the coordination numbers of A and C are 14 and 8, respectively. a. Calculate the APF. b. Calculate the atomic radius of C. c. Calculate the molecular formula.

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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.