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a solid A+ and B- has NaCl type closed packed structure. if the anion has radius of 241.5 . what should be the ideal radius of cation? can a C+ having radius of 50 pm be fitted into tetrahedral holes of the crystal A+B- ?
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a solid A+ and B- has NaCl type closed packed structure. if the anion...
Answer


Radius of Cation


The NaCl type closed packed structure has a coordination number of 6, which means each anion is surrounded by 6 cations. The radius of the anion is given as 241.5 pm. In order to fit into the crystal structure, the cation should have a radius that is less than half of the distance between two adjacent anions.


Since the anion has a radius of 241.5 pm, the distance between two adjacent anions is twice the radius, i.e. 483 pm. Therefore, the ideal radius of the cation should be less than 241.5 pm.


Fitting of C in AB-


The tetrahedral holes in the NaCl type closed packed structure are formed by the arrangement of anions. Each tetrahedral hole is surrounded by four anions, and it can accommodate a cation that is smaller than the anions.


The radius of the cation C is given as 50 pm, which is smaller than the radius of the anion. Therefore, it is not possible to fit C into the tetrahedral holes of the crystal AB-.


The radius of the cation should be less than half the distance between two adjacent anions in order to fit into the crystal structure. In the case of AB-, the anion has a larger radius than the cation, and hence it is not possible to fit the cation into the tetrahedral holes.
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a solid A+ and B- has NaCl type closed packed structure. if the anion...
Na+ C-
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Read the passage given below and answer the following questions:The transition metals when exposed to oxygen at low and intermediate temperatures form thin, protective oxide films of up to some thousands of Angstroms in thickness. Transition metal oxides lie between the extremes of ionic and covalent binary compounds formed by elements from the left or right side of the periodic table. They range from metallic to semiconducting and deviate by both large and small degrees from stoichiometry. Since d-electron bonding levels are involved, the cations-exist in various valence states and hence give rise to a large number of oxides. The crystal structures are often classified by considering a cubic or hexagonal close-packed lattice of one set of ions with the other set of ions filling the octahedral or tetrahedral interstices. The actual oxide structures, however, generally show departures from such regular arrays due in part to distortions caused by packing of ions of different size and to ligand field effects. These distortions depend not only on the number of d-electrons but also on the valence and the position of the transition metal in a period or group.In the following questions, a statement of assertion followed by a statement of reason is given. Choose the correct answer out of the following choices on the basis of the above passage.Assertion (

a solid A+ and B- has NaCl type closed packed structure. if the anion has radius of 241.5 . what should be the ideal radius of cation? can a C+ having radius of 50 pm be fitted into tetrahedral holes of the crystal A+B- ?
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