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Magnesium crystallizes in HCP structure. If the lattice constant is 0.32 nm, the nearest neighbour distance in magnesium is

  • a)
    0.64 4nm

  • b)
    0.261 nm

  • c)
    0.322 nm

  • d)
    0.825 nm

Correct answer is option 'B'. Can you explain this answer?
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Magnesium crystallizes in HCP structure. If the lattice constant is 0....

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Magnesium crystallizes in HCP structure. If the lattice constant is 0....
Nearest Neighbour Distance in Magnesium

Lattice Constant of Magnesium HCP Structure

The lattice constant is the distance between the centers of two adjacent unit cells in a crystal lattice. For Magnesium, the lattice constant is given as 0.32 nm.

Nearest Neighbour Distance

In an HCP structure, there are two types of nearest neighbours: the first type of nearest neighbours are those present in the same plane, and the second type of nearest neighbours are those present in the next closest plane. The distance between the nearest neighbours can be calculated as follows:

For the first type of nearest neighbours, the distance is given by:

d1 = a/2

where a is the lattice constant.

For the second type of nearest neighbours, the distance is given by:

d2 = √(3/4)a

Substituting the value of a = 0.32 nm, we get:

d1 = 0.16 nm

d2 = 0.277 nm

Since the question asks for the nearest neighbour distance, we choose the first type of nearest neighbour distance, which is 0.16 nm.

Therefore, the correct answer is option B, which is 0.16 nm.
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Community Answer
Magnesium crystallizes in HCP structure. If the lattice constant is 0....
For hcp lattic constant (a) =>2(radius)
so radius =a/2
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