If atomic radius of barium is 2.176 mathringA and it crystallises in b.c.c. unit cell, the edge length of unit cell is

Question

If atomic radius of barium is 2.176 mathringA and it crystallises in b.c.c. unit cell, the edge length of unit cell is (A) 3.512 mathringA (B) 2.483 mathringA (C) 5.025 mathringA (D) None of these

Tardigrade Admin · Accepted Answer

Cube diagonal, 4r = √3a a = (4/√3) r = (4× 2.176/√3) mathringA = 5.025 mathringA

Q. If atomic radius of barium is $2.176 \overset{˚}{A}$ and it crystallises in b.c.c. unit cell, the edge length of unit cell is

$3.512 \overset{˚}{A}$

$2.483 \overset{˚}{A}$

$5.025 \overset{˚}{A}$

None of these

Cube diagonal,
$4 r = 3 a$
$a = \frac{4}{3} r$
$= \frac{4 \times 2.176}{3} \overset{˚}{A}$
$= 5.025 \overset{˚}{A}$

Q. If atomic radius of barium is 2.176A˚ and it crystallises in b.c.c. unit cell, the edge length of unit cell is

3.512A˚

2.483A˚

5.025A˚