Potassium crystallizes in body centered cubic lattice with a unit cell length `a = 5.2 Å`
(A) what is the distance betweenn nearest neighbourss?
(B) What is the distance between next nearest neighbour ?
(C) How many nearest neighbours does each K atom have ?
(D) How many next nearest neighbours does each K has ?
(E) What is calculated density of crystalline K

Answer

A, B, C, D

Explanation

(A) `2r = (sqrt3a)/(2) = (sqrt3 xx 5.2)/(2) = 4.5 B9Å`
(C) 8 (D) 6 (E) `d = (2 xx 39)/((5.2 xx 10^(-8))^(3) xx 6.02 xx 10^(23)) =` 0.92 g/mL