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In a CCP structure of compound XY, X ato...

In a CCP structure of compound XY, X atoms are present at octahedral voids. Calculate the number of nearest neighbours upto 6th C.N. for an X atom located at body centre.

Text Solution

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X `to` at O-voids
`Y to` in CCP (i.e. at corners and at face centres )
1st C.N.=6 ( Y at six face centres)
2nd C.N.=12 (X at 12 edge centres )
3rd C.N.=8 (Y at 8 corners )
4th C.N.=6 (X at six body centres of other adjacent unit cells)
5th C.N.=24 (Y at four adjacent face-centres of each of six adjacent unit cells )
6th C.N.=24 (X at four adjacent edge-centres of each of six adjacent unit cells)
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Knowledge Check

  • What are the number of atoms per unit cell and the number of nearest neighbours in a bcc structure ?

    A
    `2 , 12`
    B
    `4 , 12`
    C
    `2 , 8`
    D
    `2, 6`

  • In a body centred unit cell, the number of atoms present is

    A
    1
    B
    2
    C
    3
    D
    4

  • What are the number of atoms per unit cell and the number of nearest neighbours in a body centered cubic structure?

    A
    4,12
    B
    1,6
    C
    2,8
    D
    2,5

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