Home
Class 12
CHEMISTRY
Br^- ions form a close packed structure....

`Br^-` ions form a close packed structure. If the radius of `Br^–` ions is 195 pm, calculate the radius of the cation that just fits into the tetrahedral hole. Can a cation `A^+` having a radius of 82 pm be shipped into be octahedral hole of the crystal `A^+ Br^–` ?

Text Solution

Verified by Experts

Radius of cation just fitting into tetrahedral hole = Radius of tetrahedral hole
`=0.225xxr_(Br^-)`
=0.225 x 195 = 43.875 pm
Radius ratio `(r^(+)/r^(-))=82/195`=0.4205
This radius ratio lies in the range 0.414-0.732 hence, cation can slip into octahedral hole.
Promotional Banner

Topper's Solved these Questions

  • THE SOLID STATE

    AAKASH INSTITUTE|Exercise Try Yourself|56 Videos

  • THE SOLID STATE

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION-A (OBJECTIVE)|50 Videos

  • THE S-BLOCK ELEMENTS

    AAKASH INSTITUTE|Exercise Assignment (Section-J)|10 Videos

  • THERMODYNAMICS

    AAKASH INSTITUTE|Exercise ASSIGNMENT (Section -D) Assertion-Reason Type Questions|15 Videos

Similar Questions

Explore conceptually related problems

(a) If the close packed cations in an AB type solid have a radius of 75 pm, what would be the maximum and minimum sizes of the anions filling the voids ? (b) Br^(-) ions form a close packed structure. If the radius of Br^(-) ion is 195 pm, calculate the radius of the cation that just fits into the tetrahedral hole. Can a cation A^(+) having a radius of 82 pm be slipped into the octahedral hole of the crystal A^(+)Br^(-) ?

A solid AB has NaCl structure. If the radius of cation A^(+) is 170 pm, calculate the maximum possible radius of the anion.

A solid AB has NaCl structure. If the radius of the cation A is 100 pm, what is the radius of anion B ?

AAKASH INSTITUTE-THE SOLID STATE -Assignment (SECTION - D) (ASSERTION-REASON TYPE QUESTION)
  1. Br^- ions form a close packed structure. If the radius of Br^– ions is...

    Text Solution

    |

  2. A : In NaCl structure, the interionic distance is a/2 (a = Unit cell e...

    Text Solution

    |

  3. A : The co - ordination number of CaF(2) is 8 : 4. R : Ca^(2+) ion...

    Text Solution

    |

  4. A : The number of spheres are equal to the number of octahedral voids ...

    Text Solution

    |

  5. A : In Schottky defect, density of crystal decreases. R : Equal nu...

    Text Solution

    |

  6. A : If a tetrad axis is passed through the unit cell of NaCl and all i...

    Text Solution

    |

  7. A : A particle at the corner of CCP unit cell has (1)/(8)th of its con...

    Text Solution

    |

  8. A : Glass belongs to the category of covalent network solid. R : U...

    Text Solution

    |

  9. A : NaCl shows Schottky defect at room temperature. R : NaCl shows...

    Text Solution

    |

  10. A : Fe(3)O(4) is ferrimagnetic at room temperature but becomes paramag...

    Text Solution

    |

  11. A : In molecular solids the lattice points are occupied by the atoms o...

    Text Solution

    |

  12. A : Silicon is insulator at 0 K but semiconductor at room temperature....

    Text Solution

    |

  13. A : Amorphous solids are isotropic. R : Amorphous solids are not rig...

    Text Solution

    |

  14. A : In NaCl coordination number of Cl^(-) ion is 6 but in CsCl coordin...

    Text Solution

    |

  15. A : All crystals of same substance possess the same elements of symmet...

    Text Solution

    |

  16. A : AgBr shows both Schottky and Frenkel defect. R : AgBr is a cry...

    Text Solution

    |

  17. A : Number of carbon atoms per unit cell in diamond is 8. R : The ...

    Text Solution

    |

  18. A : The coordination number of ionic compound depends upon radius rati...

    Text Solution

    |

  19. A : Number of rectangular plane in a cubic crystal is 3. R : Recta...

    Text Solution

    |

  20. A : ccp is more efficient than hcp. R : Packing fraction is differe...

    Text Solution

    |

  21. A : Coordination number of both Na^(+) and Cl^(-) NaCl is 6. R : Se...

    Text Solution

    |