Fe has both bcc and fcc structures with difference lattice constants: the bcc lattice constant a = 2.8664 Angstrom; and the fcc lattice constant = 3.6468 Angstrom. If we treat Fe atoms as touching hard spheres, (1) Derive associated atomic radius of Fe atoms in the bcc structure (2) Derive associated atomic radius of Fe atoms in the fcc structure (3) Calculate the volume fraction of Fe atoms in the bcc 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.