Question

Sodium crystallizes in the body-centered cubic structure with a = 4.24 Å. Calculate the theoretical density of Na.

Answer 1

Answer: The content of a body - centered unit cell is 8(48) +1=2, Ana body - centered cell, there are eight corners and thers' contribution is 8(l/elcl. In other words, every corner of the unit coll contributes 1/8 of an atom. Also there is an atom on the body, which is not shared making it a altogether de density = (2MI AV) - 0 Where 2 = content : M = Molecular weight As Avagaard's number. ve abc Cl-coolad - Cos B-Cost+ acota como com yolz But for a cell having 900 , v=abc. where a,bic are tengths of the edges. : N = volume : Ve (4.Qui = (4. 24 x 1040 mg from dff@(23 9mmodo)103 kg 9m ')}/{ 6022x1023moly (4.24x 10 to mi? id=1.00x 10 kg m3