Metallic barium crystallizes in a body-centered cubic lattice, with one Ba atom per lattice point. If the metallic radius of Ba

Question

3 years ago

13

is 217 pm, what is the volume of the unit cell in pm3 and in cm3?

1 answer:

Tema [17] · Answer 1 · 2022-08-23T08:21:34+03:00

Answer:

1.26 x 10⁸pm³ and 1.26 x 10⁻²²cm³

Explanation: Calculating for a body centered cubic lattice, the formula is

3d²= 16r²

where d = edge length of unit cell

r=radius of atom

3d²= 16 x (217)²

3d²=753424

d²=251141.3

d= 501.1pm

volume of unit cell= d³= (501.1)³= 1.26 x 10⁸pm³

converting to cm³= 1.26 x 10⁸(10⁻¹²m)³

=1.26 x 10⁸(10⁻¹⁰cm)³ = 1.26 x 10⁻²²cm³