Home
Class 12
CHEMISTRY
A crystalline compound consists of eleme...

A crystalline compound consists of elements A and B. Atoms of element B from the cubic close-packed structure, in which half of the tetrahedral voids are occupied by A atoms. Determine the empirical formula of the compound.

Text Solution

Verified by Experts

Suppose, the number of atoms in the cubic close-packed (ccp) array of B atoms = n. In a ccp structure, the number of tetrahedral voids is twice the number of close-packed atoms. Hence, number of tetrahedral voids in ccp array of B atoms = 2n
Since half of the tetrahedral voids are occupied by A atoms, the number of A atoms in the ccp array of B atoms = n
Therefore, the ratio of number of A and B atoms in the unit cell of the crystal lattice = `n:n=1:1`.
Hence, the empirical formula of the compound is AB.
Promotional Banner

Topper's Solved these Questions

  • SOLID STATE

    CHHAYA PUBLICATION|Exercise WARM UP EXERCISE|70 Videos

  • SOLID STATE

    CHHAYA PUBLICATION|Exercise VERY SHORT ANSWER TYPE|60 Videos

  • PREVIOUS YEARS QUESTION PAPER 2019

    CHHAYA PUBLICATION|Exercise WBCHSE 2019 PART-B|19 Videos

  • SOME p-BLOCK ELEMENTS

    CHHAYA PUBLICATION|Exercise PRACTIVE SET 11|15 Videos

Similar Questions

Explore conceptually related problems

A crystalline compound is made of elements X and Y. Y atoms form hexagonal close-packed (hcp) structure with X atoms occupying half of the octahedral voids in the structure. Determine the empirical formula of the compound.

Show that in a cubic close packed structure, eight tetrahedral voids are present per unit cell.

Show that in a cubic close packed structure, eight tetrahedral voids are present per unit cell.

A substance consisting of elements A and B crystallises in a cubical lattice structure with a unit cell having B atoms at the centre of its face and A atoms at its corners. Determine the simplest formula of the compound.

AgI crystallises in a cubic close-packed ZnS structure. What fraction of tetrahedral sites is occupied by Ag^(+) ions ?

In a compound, nitrogen atoms (N) make cubic close packed lattice and metal atoms (M) occupy one-third of the tetrahedral voids present. Determine the formula of the compound formed by M and N?

The crystal structure of a compound consisting of atoms M and N shows that it has a cubic-packed array of N atoms, with M atoms occupying one-third of the tetrahedral voids. Determine the formula of the compound.

A crystalline compound formed by elements A and B has facecentred cubic unit cell. The corners and the face-centred of the unit cell are occupied by A and B atoms, respectively. If one of the corner-atoms is found to be missing, then what would the formula of the compound be?

The number of octahedral void(s) per atom present in a cubic close-packed structure is-

In a solid, atom M occupies ccp lattice and 1/3rd of tetrahedral voids are occupied by atom N. Find the formula of solid formed by M and N-