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Coordination numbers in a square close packed structure and hexagonal close packed structure respectively, are
  • a)
    2,6
  • b)
    3,6
  • c)
    4,6
  • d)
    6,4
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Coordination numbers in a square close packed structure and hexagonal ...
(c) Close packing in two-dimensions can be Type I A A A ...... ty p e The second row may be ^ placed in contact with the first one such that the spheres of A the second row are exactly . above those of the first row.
The spheres of the two rows A are aligned horizontally as well as vertically. In this arrangement, each sphere is in contact with four of its neighbours.
Thus, its coordination number = 4 and is called square close packing in two-dimensions.
Atom A (•) is in contact with four others.
Type II ABAB... type The second row may be placed above the first in a staggered manner such that its spheres fit in the depressions of the first row.
First row arrangement: A type Second row arrangement: 8 type Third row arrangement: A type and so on There is less free space and packing is more efficient than the square close packing. Each sphere is in contact with six of its neighbours and coordination number = 6 in two-dimensions. It is called two dimensional hexagonal close-packing. Voids formed in this case are triangular in shape. If the apex of the triangles downward in the first row, it is upward in the second row.
 
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Coordination numbers in a square close packed structure and hexagonal ...
Coordination Numbers in Square Close Packed and Hexagonal Close Packed Structures

Square close packed structure (also known as face-centered cubic structure) and hexagonal close packed structure are two types of close packed structures.

Coordination Number in Square Close Packed Structure

In a square close packed structure, each atom is in contact with four atoms in its own plane, four atoms above it, and four atoms below it. Therefore, the coordination number is the number of touching atoms, which is 12.

Coordination Number in Hexagonal Close Packed Structure

In a hexagonal close packed structure, each atom is in contact with six atoms in its own plane, three atoms above it, and three atoms below it. Therefore, the coordination number is the number of touching atoms, which is 12.

Comparison of Coordination Numbers

The coordination number in both structures is the same, which is 12. However, the arrangement of atoms in the two structures is different. In a square close packed structure, the atoms are arranged in a square pattern, while in a hexagonal close packed structure, the atoms are arranged in a hexagonal pattern.

Answer Option C

The correct answer is option C, which states that the coordination numbers in a square close packed structure and a hexagonal close packed structure are 4 and 6, respectively. This answer is incorrect because the coordination numbers in both structures are 12, as explained above.
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Community Answer
Coordination numbers in a square close packed structure and hexagonal ...
Close packing in one dimension:– In one dimension the spheres can be arranged in a row touching each other called packing in one dimension each sphere touch two of its neighbors so its coordination no. is 6

Close – packing in two dimensions:- When the rows are stacked over each other a two dimensional close packed structure [called crystal plane] is formed. This stacking can be done in two ways.
AAA type:-The sphere in second row may be placed in the way such that they are touching each sphere of first row and exactly above sphere of first row in this type coordination no. is 4
ABA type:- The sphere in second row may be placed in depression of first row. This produces a different raw from 1st type in this coordination no. is 6.

Close packing in three dimensions:- Three dimensional close packing from two dimensional (AAA) square close packed structure:-
Starting from square close packed layer:- The second layer and all further layers are build up such that they are horizontally as well as vertically aligned on each other. Thus their lattice is of AAA type. It unit cell is primitive unit cell.
Three dimensional close packing from two dimensional hexagonal close packed layer:-
Let in hexagonal close packing the sphere are marked as A and voids between spheres are marked as a, b alternatively.
When the second layer is placed in such a way that its spheres. Find place in a voids of first layer the b void left in occupied since in this arrangement no sphere can be placed in them.
Now come to have the two types of voids c and d.
Tetrahedral void:- A simple triangular void like c in crystal is surrounded by four spheres and is called a tetrahedral void.
Octahedral void:- Void like (d) is surrounded by six spheres and is called an octahedral void.

The voids or holes in the crystals are also called interstices.Now when a third layer placed over second layer in such a way that sphere cover the tetrahedral (c) void a three dimensional close packing of ABAB patter or hexagonal close packing is obtained.
Example:-Molybdenum, Magnesium have hcp [hexagonal close packing structure].

When third layer is placed over the second layer in such a way that spheres covers the octahedral or (d) voids a three dimensional pattern of ABCABC or Cubic Close Packing (CCP) is formed. It is similar to FCC (Face Centred Packing).

Iron, Nickel, Copper exists in CCP structures.
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Coordination numbers in a square close packed structure and hexagonal close packed structure respectively, area)2,6b)3,6c)4,6d)6,4Correct answer is option 'C'. Can you explain this answer?
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