{"knowledge_schema": {"broad_category": "Chemistry \u2192 Crystallography \u2192 Unit Cell Volume Calculation", "refinement": "This problem involves calculating the volume of a unit cell in a hexagonal crystal system, which requires knowledge of the lattice parameters and the formula for the volume of a hexagonal unit cell.", "specific_scope": "The focus is on using the given lattice parameters (a and c) to compute the volume of the hexagonal unit cell using the appropriate formula.", "goal": "Calculate the volume of the hexagonal unit cell using the provided lattice parameters."}, "summary": "This problem pertains to crystallography, specifically the calculation of the volume of a hexagonal unit cell based on its lattice parameters. The volume can be calculated using the formula V = (3\u221a3/2) * a\u00b2 * c, where 'a' is the lattice parameter in the hexagonal plane and 'c' is the height of the unit cell. Given the parameters a = 5 \u00c5 and c = 8 \u00c5, the calculation yields a volume of 173.2 \u00c5\u00b3, which corresponds to the correct answer among the provided options."}