(A) For a face-centered cubic $(FCC)$ unit cell, the relationship between the edge length $(a)$ and the radii of the cation $(r^+)$ and anion $(r^-)$

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(A) For a face-centered cubic $(FCC)$ unit cell, the relationship between the edge length $(a)$ and the radii of the cation $(r^+)$ and anion $(r^-)$ along the edge is given by: $r^+ + r^- = \frac{a}{2}$ Given: $a = 508 \ pm$ $r^+ = 110 \ pm$ Substituting the values: $110 + r^- = \frac{508}{2}$ $110 + r^- = 254$ $r^- = 254 - 110 = 144 \ pm$

Class 12 Chemistry Solid State Crystal structure and Coordination number

Medium

The edge length of a face-centered cubic unit cell of an ionic substance is $508 \ pm$. If the radius of the cation is $110 \ pm$, what is the radius of the anion in $pm$?

A
$144$
B
$288$
C
$398$
D
$618$

Explore More

Browse All

Question Bank

All Subjects

Class 12 Questions

Class 12

Chemistry Questions

Chapter

Solid State

Subtopic

Crystal structure and Coordination number

The radius of $Na^{+}$ is $95 \, pm$ and the radius of $Cl^{-}$ ion is $181 \, pm$. What is the coordination number of $Na^{+}$?

Medium

View Solution

In an end-centered unit cell,the body diagonal contains two additional atoms. What is the total number of atoms present in the unit cell?

Medium

View Solution

Which of the following statements is incorrect for the rock salt type structure?

Medium

View Solution

$Zn$ transforms from its solid state to its molten state. What is its coordination number in the molten state?

Medium

View Solution

In an $AgI$ crystal,$I^{-}$ ions form a close-packed structure. What percentage of the tetrahedral voids is occupied by $Ag^{+}$ ions?

Medium

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

The edge length of a face-centered cubic unit cell of an ionic substance is $508 \ pm$. If the radius of the cation is $110 \ pm$, what is the radius of the anion in $pm$?

Similar Questions

The radius of $Na^{+}$ is $95 \, pm$ and the radius of $Cl^{-}$ ion is $181 \, pm$. What is the coordination number of $Na^{+}$?

In an end-centered unit cell,the body diagonal contains two additional atoms. What is the total number of atoms present in the unit cell?

Which of the following statements is incorrect for the rock salt type structure?

$Zn$ transforms from its solid state to its molten state. What is its coordination number in the molten state?

In an $AgI$ crystal,$I^{-}$ ions form a close-packed structure. What percentage of the tetrahedral voids is occupied by $Ag^{+}$ ions?

Vedclass Test Series

Exam Paper Generator

Online Exam Module