Match the List-I with List-II and List-III:
List-I (solids) List-II (unit cell) List-III (coordination number) (a)- Rock salt (p)- Face centered cubic, anion in the tetrahedral void (w)- Coordination 6 (b)- Fluorite (q)- Face centered cubic, cation in the octahedral void (x)- Cation (8), anion (4) (c)- AgI, ZnS (r)- Face centered cubic, cation in the alternate tetrahedral void (y)- Cation (4), anion (8) (d)- $N{{a}_{2}}O$ (s)- Face centered cubic, cation in the tetrahedral void (z)- Cation (4), anion (4)
| List-I (solids) | List-II (unit cell) | List-III (coordination number) |
| (a)- Rock salt | (p)- Face centered cubic, anion in the tetrahedral void | (w)- Coordination 6 |
| (b)- Fluorite | (q)- Face centered cubic, cation in the octahedral void | (x)- Cation (8), anion (4) |
| (c)- AgI, ZnS | (r)- Face centered cubic, cation in the alternate tetrahedral void | (y)- Cation (4), anion (8) |
| (d)- $N{{a}_{2}}O$ | (s)- Face centered cubic, cation in the tetrahedral void | (z)- Cation (4), anion (4) |
Answer
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Hint: The number of oppositely charged ions surrounding each other is called coordination number. In rock salt, both the anions and cations are surrounded by 6 ions. In fluorite, cations are surrounded by 8 anions. In zinc blend (ZnS) both the cations and anions are surrounded by 2 ions. $N{{a}_{2}}O$ has an antifluorite type of crystal structure.
Complete step by step answer:
Let us study the structure one by one:
(a)- Rock salt: It has an fcc arrangement in which $C{{l}^{-}}$ ions occupy the corners and face centers of a cube while $N{{a}^{+}}$ ions are present at the edge centers and body center.
The coordination number of $N{{a}^{+}}$= 6 and of $C{{l}^{-}}$= 6.
(b)- Fluorite: It has ccp arrangement in which $C{{a}^{2+}}$ ions surrounded by 8 ${{F}^{-}}$ ions and each ${{F}^{-}}$ions by 4 $C{{a}^{2+}}$. ${{F}^{-}}$ions occupy all the tetrahedral voids.
The coordination number of $C{{a}^{2+}}$= 8 and of ${{F}^{-}}$= 4
(c)- AgI, ZnS: They have a ZnS type crystal structure. It has a ccp arrangement in which ${{S}^{2-}}$ ions form fcc and each $Z{{n}^{2+}}$ ion is surrounded tetrahedrally by four ${{S}^{2-}}$ ions and vice versa.
So the coordination number of both cations and anions are 4.
(d)- $N{{a}_{2}}O$: It has a crystal structure of Anti fluorite type. Here negative ions form the ccp arrangement so that each positive ion is surrounded by 4 negative ions and each negative ion is surrounded by 8 positive ions. The cations occupy half of the tetrahedral voids.
The coordination number of $N{{a}^{+}}$= 4 and of ${{O}^{2-}}$ = 8
So, from the above discussion, we can match the list as:
Note: In the above discussion ccp is cubic close packing, and fcc is face-centered cubic. The structure of the diamond is similar to that of the zinc blende, in which all the cations and anions are replaced with the carbon atom.
Complete step by step answer:
Let us study the structure one by one:
(a)- Rock salt: It has an fcc arrangement in which $C{{l}^{-}}$ ions occupy the corners and face centers of a cube while $N{{a}^{+}}$ ions are present at the edge centers and body center.
The coordination number of $N{{a}^{+}}$= 6 and of $C{{l}^{-}}$= 6.
(b)- Fluorite: It has ccp arrangement in which $C{{a}^{2+}}$ ions surrounded by 8 ${{F}^{-}}$ ions and each ${{F}^{-}}$ions by 4 $C{{a}^{2+}}$. ${{F}^{-}}$ions occupy all the tetrahedral voids.
The coordination number of $C{{a}^{2+}}$= 8 and of ${{F}^{-}}$= 4
(c)- AgI, ZnS: They have a ZnS type crystal structure. It has a ccp arrangement in which ${{S}^{2-}}$ ions form fcc and each $Z{{n}^{2+}}$ ion is surrounded tetrahedrally by four ${{S}^{2-}}$ ions and vice versa.
So the coordination number of both cations and anions are 4.
(d)- $N{{a}_{2}}O$: It has a crystal structure of Anti fluorite type. Here negative ions form the ccp arrangement so that each positive ion is surrounded by 4 negative ions and each negative ion is surrounded by 8 positive ions. The cations occupy half of the tetrahedral voids.
The coordination number of $N{{a}^{+}}$= 4 and of ${{O}^{2-}}$ = 8
So, from the above discussion, we can match the list as:
| List-I (solids) | List-II (unit cell) | List-III (coordination number) |
| (a)- Rock salt | (q)- Face centered cubic, cation in the octahedral void | (w)- Coordination 6 |
| (b)- Fluorite | (p)- Face centered cubic, anion in the tetrahedral void | (x)- Cation (8), anion (4) |
| (c)- AgI, ZnS | (r)- Face centered cubic, cation in the alternate tetrahedral void | (z)- Cation (4), anion (4) |
| (d)- $N{{a}_{2}}O$ | (s)- Face centered cubic, cation in the tetrahedral void | (y)- Cation (4), anion (8) |
Note: In the above discussion ccp is cubic close packing, and fcc is face-centered cubic. The structure of the diamond is similar to that of the zinc blende, in which all the cations and anions are replaced with the carbon atom.
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