Question:medium

A compound is formed by elements \(X\) and \(Y\). \(Y\) atoms make CCP and \(X\) atoms occupy all octahedral voids. What is the formula?

Show Hint

In CCP or FCC structures: Octahedral voids = Number of atoms in the lattice. If all octahedral voids are filled, the ratio of void atoms to lattice atoms becomes \(1:1\).
Updated On: May 3, 2026
  • \(X_2Y\)
  • \(XY\)
  • \(XY_2\)
  • \(X_2Y_3\)
Show Solution

The Correct Option is B

Solution and Explanation

Step 1: Understanding the Concept:
In a crystalline solid, the number of octahedral voids is equal to the number of atoms forming the close-packed lattice (CCP or FCC).
Step 2: Key Formula or Approach:
If the number of atoms in the CCP lattice is \(N\), then:
Number of octahedral voids = \(N\)
Number of tetrahedral voids = \(2N\)

Step 3: Detailed Explanation:
Let the number of Y atoms (which form the CCP lattice) be \(N\). Since X atoms occupy all octahedral voids, the number of X atoms is also \(N\). The ratio of atoms X : Y is \(N : N\), which simplifies to \(1 : 1\).
Step 4: Final Answer:
The formula of the compound is XY.
Was this answer helpful?
0

Top Questions on The solid state

Questions Asked in VITEEE exam

Read the passage carefully and choose the best answer to each question out of the four alternatives.
“People very often complain that poverty is a great evil and that it is not possible to be happy unless one has a lot of money. Actually, this is not necessarily true. Even a poor man, living in a small hut with none of the comforts and luxuries of life, may be quite contented with his lot and achieve a measure of happiness. On the other hand, a very rich man, living in a palace and enjoying everything that money can buy, may still be miserable, if, for example, he does not enjoy good health or his only son has taken to evil ways. Apart from this, he may have a lot of business worries which keep him on tenterhooks most of the time. There is a limit to what money can buy and there are many things which are necessary for a man’s happiness and which money cannot procure. Real happiness is a matter of the right attitude and the capacity of being contented with whatever you have is the most important ingredient of this attitude.”
View Solution