Determine the density (in g/cm3) of a hypothetical AX compound with a zinc-blende structure (CN=4) and a lattice parameter of 0.582 nm. The atomic weights of the ions are given below. (answer format X.XX) cation: A = 56.5 g/mol anion: A = 25.1 g/mol
We know then Zinc-blend structure has FCC structure in which both the atoms are same.
Number of atoms of cation = 4 = number of anion. We are given edge of crystal unit cell.
Density formula in the form of mass and volume (cube of edge) is used to find out density. Mass of cation and anion are given we can simply use the mass given and multiplied by number of atoms each to find out total mass of unit cell.
Solution:
Conversion of edge (a) to cm
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