Which of the following expressions is correct in case of a CsCl unit cell (edge length, a ) ?

Question

Which of the following expressions is correct in case of a CsCl unit cell (edge length, a ) ? (A) rc+ra=a (B) rc+ra=(a/√2) (C) rc+ra=(√3 a/2) (D) rc+ra=(a/2)

Tardigrade Admin · Accepted Answer

In CsClCs+ arrow at body center Cl- arrow at every corner 2(rc + ra)=√3a (along body diagonal) rc+ra=(√3 a/2)

Q. Which of the following expressions is correct in case of a $C s Cl$ unit cell (edge length, $a$ ) ?

$r_{c} + r_{a} = a$

$r_{c} + r_{a} = \frac{a}{2}$

$r_{c} + r_{a} = \frac{3 a}{2}$

$r_{c} + r_{a} = \frac{a}{2}$

In $C s ClC s^{+} \to$ at body center
$C l^{-} \to$ at every corner
$2 (r_{c} + r_{a}) = 3 a$ (along body diagonal)
$rc + r a = \frac{3 a}{2}$

Q. Which of the following expressions is correct in case of a CsCl unit cell (edge length, a ) ?

rc​+ra​=a

rc​+ra​=2​a​

rc​+ra​=23​a​

rc​+ra​=2a​

In CsClCs+→ at body center Cl−→ at every corner 2(rc​+ra​)=3​a (along body diagonal) rc+ra=23​a​

Q. Which of the following expressions is correct in case of a $C s Cl$ unit cell (edge length, $a$ ) ?

$r_{c} + r_{a} = a$

$r_{c} + r_{a} = \frac{a}{2}$

$r_{c} + r_{a} = \frac{3 a}{2}$

$r_{c} + r_{a} = \frac{a}{2}$

In $C s ClC s^{+} \to$ at body center
$C l^{-} \to$ at every corner
$2 (r_{c} + r_{a}) = 3 a$ (along body diagonal)
$rc + r a = \frac{3 a}{2}$