Lithium metal crystallizes in a body centred cubic crystal. If the length of the side of the unit cell of lithium is 351 pm, the atomic radius of the lithium will be

Question

Lithium metal crystallizes in a body centred cubic crystal. If the length of the side of the unit cell of lithium is 351 pm, the atomic radius of the lithium will be (A) 240.8 pm (B) 151.8 pm (C) 75.5 pm (D) 300.5 pm

Tardigrade Admin · Accepted Answer

for bcc type of unit cell √3 a =4 r r =(√3/4) a =(1.732 × 351/4) =151.98

Q. Lithium metal crystallizes in a body centred cubic crystal. If the length of the side of the unit cell of lithium is $351 p m,$ the atomic radius of the lithium will be

240.8 pm

151.8 pm

75.5 pm

300.5 pm

for bcc type of unit cell

$3 a = 4 r$

$r = \frac{3}{4} a$

$= \frac{1.732 \times 351}{4}$

$= 151.98$

Q. Lithium metal crystallizes in a body centred cubic crystal. If the length of the side of the unit cell of lithium is 351pm, the atomic radius of the lithium will be