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If the radius of the octaheral void is r...

If the radius of the octaheral void is `r` and the radius of the atoms in close-packing is `R`, which of the following is correct relation between `r` and `R`

A

r=0.414R

B

R=0.414r

C

r=2R

D

`r=sqrt2R`

Text Solution

Verified by Experts

The correct Answer is:
A

`(2R)^2=(R+r)^2+(R+r)^2`
`sqrt2`R=R+r
`(sqrt2-1)` R=r
0.414R=r
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NCERT FINGERTIPS-THE SOLID STATE -Number Of Atoms In Unit Cell And Close Packed Structures
  1. Which of the following statements is not about the voids ?

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  2. If 'Z' is the number of atoms in the unit cell that represents the cl...

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  3. If the radius of the octaheral void is r and the radius of the atoms i...

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  4. A metallic crystal cystallizes into a lattice containing a sequence of...

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  5. In ccp arrangement the pattern of successive layers can be designated ...

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  6. which of the following statemets is not true about the hexagona...

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  7. The cordination number of a metal crystallising in a hexagonal close-p...

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  8. Match the column I with Column II and mark the appropriate choice .

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  9. IF the radius ratio of cation to anion is in the range of 0.2...

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  10. A crystal lattice with alternate +ve "and "-veions has radius ratio o...

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  11. A solid AB has the NaCL structure, If radius of cation A^(+) is 120 pm...

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  12. A crystal is formed by two elements X and Y in cubic structure. X atom...

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  13. If there elements X, Y & Z crystallize in cubic solid lattice with X- ...

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  14. A compound formed by two elements M and N. Element N forms ccp and ato...

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  15. A cubic solid is made up iof two elements X and Y . Atoms Y are presen...

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  16. How many chloride ions are there around sodium ion in sodium chloride ...

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  17. In NaCl structure , all the :

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  18. 8:8 coordination of CsCl is found to change into 6:6 coordination :

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  19. In CsCI lattice the coordination number of Cs ion is

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  20. Which is /are correct statement about zinc blende structure ?

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