X⁺Y^–crystallizes in a bcc lattice in which the radius of $X^{+} = 0 .4 \overset{°}{A}$ . If all the X⁺ ions are removed and another cation z⁺ is inserted, what should be the maximum radius (in $\overset{o}{A}$ ) of the cation z⁺ to crystallize in a fcc lattice with y^–?

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

answer is 0.226.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

For a bcc lattice
$\frac{x^{+}}{y^{-}} = 0 .732 \Rightarrow y^{-} = \frac{0 .4}{0 .732} = 0 .546 \overset{°}{A}$
Now for fcc lattice $\frac{z^{+}}{y^{-}} = 0 .414$
$\Rightarrow Z^{+} = 0 .544 \times 0 .414 = 0 .226 \overset{^{0}}{A}$

Watch 3-min video & get full concept clarity

hear from our champions

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

🔥 Start Your JEE/NEET Prep at Just ₹1999 / month - Limited Offer! Check Now!

Get Expert Academic Guidance – Connect with a Counselor Today!