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Length of a face edge in lithium chlorid...

Length of a face edge in lithium chloride crystal is `5.11 A^(0) `. What is the radius of anion of the crystal?

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`LiCl` is assumed to have the structure of `NaCl` face centred cubic lattice, in which face diagonal has anions touching each other.
Face diagonal length `= sqrt2 a= 4 xx` radius of chloride
Face edge length of `Li CI= a = 5.11 A^(0) `
Radius of chloride `= ( sqrt2)/( 4) a = ( 1.414)/( 4) xx 5.11 = 1.81 A^(0)`
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Knowledge Check

  • The structure of sodium chloride crystal is:

    A
    body centred cubic lattice
    B
    face centred cubic lattice
    C
    octahedral
    D
    square planar
  • The unit cell of aluminium is a cube with an edge length of 405 pm. The density of aluminium is 2.70 gm cm^(-3) . What is the type of unit cell of aluminium crystals ?

    A
    simple cubic
    B
    body - centred cubic
    C
    face - centred cubic
    D
    hexagonal
  • The ratio of anion radius to cation radius of a crystal is 10 : 9.3. Then, the coordination number of the cation in the crystal is

    A
    2
    B
    8
    C
    6
    D
    4
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