Home
Class 12
CHEMISTRY
A substance consisting of elements A and...

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.

Text Solution

Verified by Experts

A atoms are at the corners of the cubic unit cell. Since an A atom at the cornor is shared equally by eight adjoining cubes, number of A atoms per unit cell `=8xx1/8=1`.
B atoms are at the centres of the faces of the cubic unit cell. As each B atom at the centre of the face is equally shared by two cubes, number of B atoms per unit cell = `=6xx1/2=3`.
Therefore, the ratio of A and B atoms in the unit cell = `1:3`. Hence, the simplest formula of the compound would be `AB_(3)`.
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 compound consists of element A and B. It crystallises in a cubic crystal structure with unit cell having A atoms at the corners of the cell and B atom at the face centres of the cell. If the edge-length of the unit cell is 5Å, and the atomic masses of A and B are 60 and 90 respectively, then calculate the density of the compound.

A crystalline ionic compound consisting of M^(+)andX^(-) ions crystallises in cubic structure. The unit cell of the compound has M^(+) ions at its corners and an X^(-) ion at its body centre. Determine the simplest formula of the compound.

A compound formed by elements X and Y crystallises in a cubic structure in which the X atoms are at the alternate corners of a cube and the Y atoms are at the face centres.The formula of the compound is

A compound formed by elements X and Y crystallises in the cubic structure, where X - atoms are at the corners of a cube and Y - atoms are at the centres of the body. The formula of the compound is-

If three elements P, Q and R crystallise in a cubic unit cell with P atoms at the corners, Q atoms at the cubic centre and R atoms at the centre of each face of the cube, then write the formula of the compound.

A compound formed by elements A and B crystallises in a cubic structure where A atoms are present at the alternate corners of a cube and the B atoms are present at the alternate face centres.The formula of the compound is

A compound formed by elements X and Y crystallises in a cubic structure, where X atoms are present at the alternate corners of a cube and Y atoms are at the centres of the body. The formula of compound is:

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.

In a fcc arrangement, the corner atoms are A type and those at face centres are B type. What is the simplest formula of the compound ?

In a face centered cubic arrangement of A and B atoms whose A atoms are at the corner of the unit cell and B atoms at the face centers. One of the B atoms missing from one of the face in unit cell. The simplest formula of compound is: