Home
Class 12
CHEMISTRY
A closed packed structure of uniform sph...

A closed packed structure of uniform spheres has the edge length of 534 pm. Calculate the radius of sphere, if it exist in (A) simple cubic lattice (B) BCC lattice
(C) FCC lattice

Text Solution

Verified by Experts

(A) Simple cubic lattice
`2r=a implies r=(a)/(2)=(534)/(2)=267` pm
(B) `4r=asqrt(3)implies r=(543sqrt(3))/(4)=231.23 pm`
`(C) 4r=asqrt(2)implies(534sqrt(3))/(4)=188.79` pm.
Promotional Banner

Topper's Solved these Questions

  • SOLID STATE

    MOTION|Exercise Exercise - 1 (Crystalline & amorphous solids, Classification of crystalline solids)|31 Videos

  • SOLID STATE

    MOTION|Exercise Exercise - 1 (Types of cubic unit cell SCC, BCC, FCC )|1 Videos

  • SOLID STATE

    MOTION|Exercise Exercise - 4 | Level-II|9 Videos

  • Salt Analysis

    MOTION|Exercise Exercise - 4 Level-II|22 Videos

  • SURFACE CHEMISTRY

    MOTION|Exercise Exercise - 3 (Level-II)|12 Videos

Similar Questions

Explore conceptually related problems

A closed packed structure of uniform spheres has the cell edge =0.8mm . Calculate the radius of molecule if it has : (a) simple cubic lattice, (b) b.c.c. lattice, (c) f.c.c. lattice.

Calculate the packing efficiency of a metal crystal for a simple cubic lattice.

Which of the following metals has the simple cubic lattice?

The edge lengths of the unit cells in terms of the radius of spheres constituting fcc, bcc and simple cubic unit cell respectively

the edge langth of the unit cells in terms of the radius of sphere constituting fcc ,bcc and simple cubic unit cells are respectively ………. .

Gold has a fcc lattice with edge length 407 pm. The diameter of the gold atom is

Copper crystallises in face-centred cubic lattice with a unit cell length of 361 pm. What is the radius of copper atom in pm?

MOTION-SOLID STATE-SOLVED OBJECTIVE
  1. Spinel is a important class of oxides consisting of two types of metal...

    Text Solution

    |

  2. Iron occurs as bcc as well as fcc unit cell. If the effective radius o...

    Text Solution

    |

  3. A closed packed structure of uniform spheres has the edge length of 53...

    Text Solution

    |

  4. Calculate the density of diamond from the fact that it has face center...

    Text Solution

    |

  5. An element crystallizes into a structure which may be describes by a c...

    Text Solution

    |

  6. Silver has an atomic radius of 144 pm and the density of silver is 10....

    Text Solution

    |

  7. AgCl has the same structure as that of NaCl. The edge length of unit c...

    Text Solution

    |

  8. Xenon crystallizes in the face-centred cubic lattice and the edge of t...

    Text Solution

    |

  9. Two ions A^(o+) and B^(Θ) have radii 88 and 200 pm, respectively. In t...

    Text Solution

    |

  10. CsCl has bc c arrangement and its unit cell edge length is 400 pm. Cal...

    Text Solution

    |

  11. Gold crystallizes in a face centered cubic lattice. If the length of t...

    Text Solution

    |

  12. The density of KBr is 2.75 g cm^(–3). The length of the edge of the u...

    Text Solution

    |

  13. An element cyrstallises in a structure having a fcc unit cell of and e...

    Text Solution

    |

  14. The effective radius of an iron atom is 1.42 Å. It has a rock-salt str...

    Text Solution

    |

  15. A crystal of lead (II) sulphide has NaCl strcuture . In this crys...

    Text Solution

    |

  16. If the length of the body for CaCl which crystallizes into a cubic str...

    Text Solution

    |

  17. In a cubic closed packed structure of mixed oxides the lattice is made...

    Text Solution

    |

  18. A solid A^(o+)B^(ɵ) has NaCl-type close-packed structure. If the anion...

    Text Solution

    |

  19. If the radii of Mg^(2+), Cs^(o+), O^(2-), S^(2-), and CI^(Θ) ions are ...

    Text Solution

    |

  20. In a cubic crystal of CsCl (density = 3.97 gm//cm^(3)) the eight corne...

    Text Solution

    |