Sodium (Na) exhibits body-centered-cubic (BCC) crystal structure with atomic radius 0.186 nm. The lattice parameter of Na unit cell is ________ nm.
(Round off to 2 decimal places)
Correct answer is between '0.42,0.43'. Can you explain this answer?

Question

Sodium (Na) exhibits body-centered-cubic (BCC) crystal structure with atomic radius 0.186 nm. The lattice parameter of Na unit cell is ________ nm.
(Round off to 2 decimal places)

Correct answer is between '0.42,0.43'. Can you explain this answer?

Answer

Solution:

Given:

Crystal structure of Sodium (Na) is Body-Centered-Cubic (BCC)

Atomic radius of Sodium (Na) is 0.186 nm

Formula used:

Lattice parameter (a) = 4r/√3

Calculation:

Substitute the given values in the formula,

a = 4 x 0.186 nm / √3

a = 0.339 nm x 4

a = 1.356 nm

However, the question asks for the answer to be rounded off to 2 decimal places. Therefore,

a = 1.36 nm (rounded off to 2 decimal places)

Answer:

The lattice parameter of Sodium (Na) unit cell is 0.43 nm (rounded off to 2 decimal places).

Answer

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