the edge length of a face centered cubic cell of an ionic

The edge length of a face centered cubic cell of an ionic substance is $$508 pm.$$ If the radius of the cation is $$110 pm,$$ the radius of the anion is

A. $$288 pm$$

B. $$398 pm$$

C. $$618 pm$$

D. $$144 pm$$

Answer : $$144 pm$$

Solution :
For an $$Fcc$$ crystal
$$\eqalign{ & {r_{cation}} + {r_{anion}} = \frac{{{\text{edge}}\,{\text{length}}}}{2};\,110 + {r_{anion}} = \frac{{508}}{2} \cr & {r_{anion}} = 254 - 110 = 144pm \cr} $$

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Physical Chemistry >> Solid State

Releted Question 1

$$CsBr$$ has $$bcc$$ structure with edge length 4.3. The shortest inter ionic distance in between $$C{s^ + }$$ and $$B{r^ - }$$ is :

A. 3.72

B. 1.86

C. 7.44

D. 4.3

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Releted Question 2

The coordination number of a metal crystallizing in a hexagonal close-packed structure is

A. 12

B. 4

C. 8

D. 6

View Answer

Releted Question 3

In a solid $$‘AB’$$ having the $$NaCl$$ structure, $$'A’$$ atoms occupy the corners of the cubic unit cell. If all the face-centered atoms along one of the axes are removed, then the resultant stoichiometry of the solid is

A. $$A{B_2}$$

B. $${A_2}B$$

C. $${A_4}{B_3}$$

D. $${A_3}{B_4}$$

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Releted Question 4

A substance $${A_x}{B_y}$$ crystallizes in a face centred cubic $$(FCC)$$ lattice in which atoms $$'A'$$ occupy each corner of the cube and atoms $$'B'$$ occupy the centres of each face of the cube. Identify the correct composition of the substance $${A_x}{B_y}$$

A. $$A{B_3}$$

B. $${A_4}{B_3}$$

C. $${A_3}B$$

D. Compostion cannot be specified

View Answer

The edge length of a face centered cubic cell of an ionic substance is $$508 pm.$$ If the radius of the cation is $$110 pm,$$ the radius of the anion is

Releted MCQ Question on
Physical Chemistry >> Solid State

$$CsBr$$ has $$bcc$$ structure with edge length 4.3. The shortest inter ionic distance in between $$C{s^ + }$$ and $$B{r^ - }$$ is :

The coordination number of a metal crystallizing in a hexagonal close-packed structure is

In a solid $$‘AB’$$ having the $$NaCl$$ structure, $$'A’$$ atoms occupy the corners of the cubic unit cell. If all the face-centered atoms along one of the axes are removed, then the resultant stoichiometry of the solid is

A substance $${A_x}{B_y}$$ crystallizes in a face centred cubic $$(FCC)$$ lattice in which atoms $$'A'$$ occupy each corner of the cube and atoms $$'B'$$ occupy the centres of each face of the cube. Identify the correct composition of the substance $${A_x}{B_y}$$

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Solid State

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The edge length of a face centered cubic cell of an ionic substance is $$508 pm.$$ If the radius of the cation is $$110 pm,$$ the radius of the anion is

Releted MCQ Question on Physical Chemistry >> Solid State

$$CsBr$$ has $$bcc$$ structure with edge length 4.3. The shortest inter ionic distance in between $$C{s^ + }$$ and $$B{r^ - }$$ is :

The coordination number of a metal crystallizing in a hexagonal close-packed structure is

In a solid $$‘AB’$$ having the $$NaCl$$ structure, $$'A’$$ atoms occupy the corners of the cubic unit cell. If all the face-centered atoms along one of the axes are removed, then the resultant stoichiometry of the solid is

A substance $${A_x}{B_y}$$ crystallizes in a face centred cubic $$(FCC)$$ lattice in which atoms $$'A'$$ occupy each corner of the cube and atoms $$'B'$$ occupy the centres of each face of the cube. Identify the correct composition of the substance $${A_x}{B_y}$$

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