Home
Class 12
CHEMISTRY
In a face-centred cubic lattice, atom A ...

In a face-centred cubic lattice, atom A occupies the corner and atom B occupies the face-centred positions. If one atom of B is missing from one of the face-centred points, the formula of the compound is-

A

`A_(2)B_(5)`

B

`A_(2)B`

C

`AB_(2)`

D

`A_(2)B_(3)`

Text Solution

Verified by Experts

The correct Answer is:
A
In face-centred cubic lattice, atom A occupies the corner and atom B occupies the face-centred positions. One B atom is missing from one of the face-centred position.
Therefore, number of A-atom in that unit cell = `8xx1/8=1` and number of B-atom = `5xx1/2=5/2`.
Thus the ratio of A and B-atom = `1:5/2=2:5`.
Therefore the formula of the compound is `A_(2)B_(5)`.
Promotional Banner

Topper's Solved these Questions

  • SOLID STATE

    CHHAYA PUBLICATION|Exercise SOLVED NCERT EXEMPLAR PROBLEMS|53 Videos

  • SOLID STATE

    CHHAYA PUBLICATION|Exercise SHORT ANSWER TYPE|10 Videos

  • SOLID STATE

    CHHAYA PUBLICATION|Exercise ADVANCED LEVEL NUMERICAL BANK|17 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

In a face centred cubic lattice, atom A occupies the corner positions and atom B occupies the face centred positions. If two atom of B is missin from two of the face centred points,, the formula of the compound is :

A substance A_(x)B_(y) crystallises in a face centred cubic (fcc) lattice in which atoms 'A' occupy each corner of the cube and atoms 'B' occupy face centered position of the cube. If five of the B atoms are missing from five face center, identify the correct formula of the compound.

A unit cell consists of a cube in which there are A atoms at the corners and B atoms at the face centres. Two A atoms are missing from the two corners of the unit cell. What is the formula of the compound ?

In a face centred cubic cell, an atom at the face centre is shared by:

A unit cell consists of a cube in which there are A atoms at the corners and B atoms at the face centres. Two A atoms are missing from the two comers of the unit cell. What is the 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:

(a) A crystalline compound formed by element A and B has face-centred cubic unit cell. The corners and the face centres are occupied by A and B atoms respectively. If one of the corner atoms is found missing then what would be the formula of the compound? (b) Give an example of a compound which exhibits both Schottky and Frenkel defects.

In a face centered lattice of X and Y, X atoms are present at the corners while Y atoms are at face centres. (a) What is the formula of the compound ? (b) What would be the formula of the compound if (i) one of the X atoms is missing from a corner in each unit cell (ii) one of the X atoms at from a corner is replaced by Z atom. (also monovalent) ?

In the fcc arrangement of A and B atoms whose A atoms are at corners of the unit cell and B are at the face centres one of the A atom is missing from one corner in each unit cell. What is the simplest formula of the compound?

In a solid AB having the NaCl structure, A atom occupies the alternate corners of the cubic unit cell and B atom is present on face center . if 3 atoms of B are missing from the the face center then the resultant stoichiometry of the solid is

CHHAYA PUBLICATION-SOLID STATE-ENTRANCE QUESTION BANK
  1. In a close-packed body-centred cubic lattice of potassium, the correct...

    Text Solution

    |

  2. A compound formed by elements X and Y crystallises in the cubic struct...

    Text Solution

    |

  3. In a face-centred cubic lattice, atom A occupies the corner and atom B...

    Text Solution

    |

  4. Lithium forms body-centred cubic structure. The length of the side of ...

    Text Solution

    |

  5. Which exists as covalent crystals in the solid state-

    Text Solution

    |

  6. The correct statement for the molecule, CsI(3), is-

    Text Solution

    |

  7. CsCl crystallises in body-centred cubic lattice. If 'a' is its edge le...

    Text Solution

    |

  8. Sodium metal crystallises in a body-centreed cubic lattice with a unit...

    Text Solution

    |

  9. Which of the following compounds is metallic and ferromagnetic-

    Text Solution

    |

  10. A metal crystallises in a face-centred cubic structure. If the edge le...

    Text Solution

    |

  11. Which type of defect has the presence of cations in the interstitial s...

    Text Solution

    |

  12. A solid cmpound XY has NaCl structure. If the radius of the cation is ...

    Text Solution

    |

  13. Structure of a mixed oxide is cubic close-packed (ccp). The cubic unit...

    Text Solution

    |

  14. A metal crystallises with a face-centred cubic lattice. The edge of th...

    Text Solution

    |

  15. The number of octahedral void(s) per atom present in a cubic close-pac...

    Text Solution

    |

  16. The number of carbon atoms present per unit cell of diamond is-

    Text Solution

    |

  17. Which of the following statements about the interstitial compounds is ...

    Text Solution

    |

  18. If a is the length of the side of a cube, the distance between the bod...

    Text Solution

    |

  19. The correct statement regarding defects in the crystaline solid is-

    Text Solution

    |

  20. The vacant space in bcc lattice cell is-

    Text Solution

    |