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What is the ratio of (TV//OV)("occupied"...

What is the ratio of `(TV//OV)_("occupied")` in spinel an inverse spinel structure?

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To determine the ratio of tetrahedral voids to octahedral voids occupied in spinel and inverse spinel structures, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Structures**: - **Normal Spinel Structure**: In this structure, divalent metal ions (A²⁺) occupy the tetrahedral voids, while trivalent metal ions (B³⁺) occupy the octahedral voids. The remaining sites are occupied by oxygen atoms. - **Inverse Spinel Structure**: Here, one trivalent metal ion (B³⁺) occupies a tetrahedral void, while the divalent metal ion (A²⁺) and another trivalent metal ion (B³⁺) occupy the octahedral voids. ...
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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). In the spinel structure, oxide ions are cubic close packed whereas 1/8th of tetrahedral voids are occupied by A^(2+) cations and 1/2 of octahedral voids are occupied by B^(3+) cations. The general formula of the compound having spinel structure is

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CENGAGE CHEMISTRY ENGLISH-NCERT BASED EXERCISE-Short Answer Type Questions
  1. In an hcp structure, calculate Z("eff)

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  2. In a diamond cubic (dc) structure, calculate Z("eff")

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  3. What is the ratio of (TV//OV)("occupied") in spinel an inverse spinel...

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  4. What is the CN of cation and anion in a corundum structure?

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  5. What is the occurrence of different forms of the same compound called?

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  6. How many allotropic forms of Carbon exist?

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  7. How can a substance be made amorphous?

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  8. Why does ZnO show increased electrical conductivity and turns yellow o...

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  9. Why NiO and FeO are nonstroichiometric with the formula Ni(0.98)O and ...

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  10. Why the defectsof the crystalline solids are called thermodynamic defe...

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  11. Why stoichiometric defects are also called intrinsic defects?

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  12. Give the name of one solid which shows both Schottky and Frenkel defec...

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  13. why is Frenkel defects not found in pure alkali metal halides ?

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  14. why does table salt ,NaCl sometimes appear yellow in colour?

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  15. How do the electrical conductivity and resistivity of metallic conduct...

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  16. What is energy gap in bond theory?

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  17. What is photo voltaic cell?

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  18. What happens when ferrimagnetic Fe(3)O(4) is heated to 850 K?

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  19. What happens when ferromagnetic substance is heated to high temperatur...

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  20. Which type of defect is product when NaCl is dopped with AlCl(3)?

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