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The radius of an octahedral void is 'r' ...

The radius of an octahedral void is 'r' and the radius of an atom is 'R' when these are in close packing. Derive the relation between the two.

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In HCP or CCP constituent particles occupy 74% of the available space. The remaining space (26%) in between the spheres remains unoccupied and is called interstitial voids or holes. Considering the close packing arrangement, each sphere in the second layer rests on the hollow space of the first layer, touching each other. The void created is called tetrahedral void. If R is the radius of the spheres in the close packed arrangement then, R (radius of tetrahedral void) = 0.225 R In a close packing arrangement, the interstitial void formed by the combination of two triangular voids of the first and second layer is called octahedral coid. Thus, double triangular void is surrounded by six spheres. The centre of these spheres on joining, forms octahedron. If R is the radius of the sphere. in a close packed arrangement then, R (radius of octahedral void = 0.414 R). If the anions (A) form hexagonal close packing and cations (C ) occupy only 2/3rd octahedral voids in it, then the general formula of the compound is

In HCP or CCP constituent particles occupy 74% of the available space. The remaining space (26%) in between the spheres remains unoccupied and is called interstitial voids or holes. Considering the close packing arrangement, each sphere in the second layer rests on the hollow space of the first layer, touching each other. The void created is called tetrahedral void. If R is the radius of the spheres in the close packed arrangement then, R (radius of tetrahedral void) = 0.225 R In a close packing arrangement, the interstitial void formed by the combination of two triangular voids of the first and second layer is called octahedral coid. Thus, double triangular void is surrounded by six spheres. The centre of these spheres on joining, forms octahedron. If R is the radius of the sphere. in a close packed arrangement then, R (radius of octahedral void = 0.414 R). In the figure given below, the site marked as S is a

ICSE-SOLID STATE-EXERCISE (PART-II DESCRIPTIVE QUESTIONS) (SHORT ANSWER QUESTIONS)
  1. What do you understand by imperfections in ionic crystals? Name the ty...

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  2. What are the types of lattice imperfection found in crystals?

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  3. The radius of an octahedral void is 'r' and the radius of an atom is '...

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  4. If the radius of a tetrahedral void is 'r' and radius of atom in close...

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  5. What is radius ratio ? What is its significance in case of ionic cryst...

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  6. Briefly describe the radius ratio rules.

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  7. Explain briefly the superconductivity.

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  8. Explain each of the following with a suitable example: Paramagnetism .

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  9. Explain each of the following with a suitable example: Piezoelectric e...

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  10. Explain the nature of the crystal defect produced when NaCl is doped w...

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  11. Prove that the actual volume occupied by a bcc arrangement is 68% only...

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  12. How much is the empty space present in a primitive unit cell? Also cal...

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  13. Addition of CdCl2 to the crystals of AgCl will produce Schottky defect...

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  14. Distinguish between crystal lattice and unit cell.

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  15. Give reasons Silicon doped with phosphorus, gives an n-type semiconduc...

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  16. Give reasons The electrical conductivity of a metal decreases with ris...

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  17. Account for the Silicon is an insulator but silicon doped with phospho...

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  18. Account for the Some of the very old glass objects appear slightly mil...

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  19. State the difference between Schottky and Frenkel defects. Which of th...

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  20. What are molecular crystals ? Name the forces which are holding the co...

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