Lead (atomic radiu = 0. 181 nm) crytallize with a face-centered cubic unit cell. What i the length of a ide of the cell?

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02-12-2022
Chemistry

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Lead (atomic radiu = 0. 181 nm) crytallize with a face-centered cubic unit cell. What i the length of a ide of the cell?

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tutorconsortium630 tutorconsortium630 · Answer 1 · 2022-12-05T23:14:27-05:00

The length of the side of the cell is 0.511nm when lead crystallizes with a face-centred cubic (fcc) unit cell.

What do you mean by crystallizes?

Having a distinct shape, a crystal is solid. When the symmetrically aligned smooth plane surfaces of crystals collide, sharp edges are created. After cooling a heated saturated solution, crystals can be formed. Crystallization is the name given to this procedure.

What is Face-centered cubic?

A face-centred cubic unit cell structure is made up of atoms arranged in a cube with six additional whole atoms placed in the centre of each cube face and a fraction of an atom at each of the cube's four corners. Eight additional unit cells share the atoms at the cube's corner.

What are the calculations?

For the fcc unit cell, a=2 √2 r.

Here, a is the edge length and r is the atomic radius (0.181 nm).

a=2 √2 × 0.181 =0.511 nm.

Hence, the length of a side of a cell is 0.511nm.

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