Question

1)(5 points) Walter White who lives in Side-centered cubic (scc) cell Simeranya (a utopic city in Anarres) Top view prepares blue crysta ls, named as myth, which adopt a side-centered cubic (scc) cell, where atoms occupy the center of sides of a cubic cell. (The myth molecule is assumed to have a perfect spherical shape.) a) Find out how many atoms are present in each unit cell. Calculate the atomic packing factor (APF) of scc unit cell. c) b) Given the density of the material as 6.184 g/cm' and a molar mass of 132 g/mol, determine the radius (in nm) of myth molecule. d) Find the linear density (in nm) of the following vectors in sc; [111], [110], and [100]. (You can choose the origin as one of the corners of scc cell.) e) Determine the number of holes with coordination numbers 6, 8, and 12 per unit cell.

Answer 1

solution In the given mit cell, there are twelue edges. I edge contain 1 particle Catom) 1 atom contribute for each imit cell So, the total no. of atom present in the unit cell =\x8 + 5x12 = 1+3 Tatal atoms =4 l 6 Atomic packing factor = no. of atoms x val of one atom x 100 vol of imit cell = 4x4 Tr3 16/2013 4 = 2427 AP.F = 74% | a3 = (ata 9) density = 6:184 g/cm m = 138 gm/mol a=zxm P. NA = 4x139 6.184 X 60281013

solution In the given mit cell, there are twelue edges. I edge contain 1 particle Catom) 1 atom contribute for each imit cell So, the total no. of atom present in the unit cell =\x8 + 5x12 = 1+3 Tatal atoms =4 l 6 Atomic packing factor = no. of atoms x val of one atom x 100 vol of imit cell = 4x4 Tr3 16/2013 4 = 2427 AP.F = 74% | a3 = (ata 9) density = 6:184 g/cm m = 138 gm/mol a=zxm P. NA = 4x139 6.184 X 60281013