Beryllium (Be) mineral is expressed by a chemical formula (3BeO - Al2O3 -6SiO2), and it is revealed that the structure is hexagonal with the lattice parameters a = 0.9215 nm and c = 0.9169 nm, and with the density 2.68 g/cm3. How many chemical formula is/are there in a unit cell? What is the first nearest neighbor distance in such a crystal?

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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.