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The radius ofAg ion is 126 pm and that o...

The radius of`Ag` ion is 126 pm and that of `I` - ion is 216 pm .The coordination number of `Ag` ion is

A

`2`

B

`4`

C

`6`

D

`8`

Text Solution

Verified by Experts

The correct Answer is:
c
`(r_(+))/(r_(-)) = (126)/(216) = 0.58` octabedral voids Hence `C.N = 6`
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Early crystallographers had trouble solving the structures of inorganic solids using X-ray diffraction because some of the mathematical tools for analyzing the data had not yet been developed. Once a trial structure was proposed, it was relatively easy to calculate the diffraction pattern, but it was difficult to go the other way (from the diffraction pattern to the structure) if nothing was known a priori about the arrangement of atoms in the unit cell. It was important to develop some guidelines for guessing the coordination numbers and bonding geometries of atoms in crystals. The first such rules were proposed by Linus Pauling, who considered how one might pack together oppositely charged spheres of different radii. Pauling proposed from geometric considerations that the quality of the "fit" depended on the radius ratio of the anion and the cation. If the anion is considered as the packing atom in the crystal, then the smaller cation fills interstitial sites ("holes"). Cations will find arrangements in which they can contact the largest number of anions. If the cation can touch all of its nearest neighbour anions then the fit is good. If the cation is too small for a given site, that coordination number will be unstable and it will prefer a lower coordination structure. The table below gives the ranges of cation/anion radius ratios that give the best fit for a given coordination geometry. The radius of Ag^+ ion is 126pm and of I^- ion is 216pm. The coordination number of Ag^+ ion is:

The radius of cation is 100 pm and that of anion is 188 pm, then the coordination number of cation is __________.

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A2Z-SOLID STATE-Structure, Coordination Number, Radious Ratio Rule, Density Of Unit Cell
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  2. How many unit cell are present in a cubic-shaped ideal crystal of NaCl...

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  3. The radius ofAg ion is 126 pm and that of I - ion is 216 pm .The coor...

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  4. The tetrahedral voids formed by cup arrangement of CI^(-) ions in rock...

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  5. An element X (At,wt = 80 g//mol) having fcc structure, calculate the n...

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  6. In which of the following 8 :8 coordination is found?

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  7. For some crystals , the radius ratio for cation and anion is 0.525 its...

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  8. In solid oxide are arranged in cup .One - sixth of tetrabedral voids a...

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  9. Which of the following expressions is correct in the case of a sodium ...

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  10. An element (atomic mass = 100 g//mol) having bcc structure has unit ce...

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  11. MgO exists in a rock- salt type unit cell .Each Mg^(+2) ion will be is...

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  12. An AB(2) type structure is found in

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  13. Cesium chloried on heating to 760 K changes in

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  14. The figure below shown a unit cell of the mineral perovskite (the tita...

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  15. The ionic radii of Rb^(+) and I^(-) are 1.46 and 2.16 Å .The most prob...

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  16. A group IV A element with a density of 11.35 g//cm^(3) crystallises in...

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  17. Select the incorrect statement for CsCI crystal

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  18. For cubic - coordination the value of ratio is

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  19. For unit cell of a NaCI lattice

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  20. How many molecules are there in the unit cell of sodium chioride?

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