Aluminium forms fcc cubic crystals. The density of aluminium is 2.7 g cm^–3. Calculate the length of the edge of the unit cell of Al.

Solution

we have give that aluminium forms Fcc cubic crystal.
density = 2.7g cm^-3
Mass of aluminium = 27g
number of unit cell =4 (FCC)
we have find edge length
Thus using formula

$d = \frac{Z xM}{a^{3} x N_{A}} putting the value in this equation 2.7 = \frac{4 x 27}{6.023 x 10^{23} x a^{3}} a^{3} = \frac{4 x 27}{6.023 x 10^{23} x 2.7} a = 4.05 x 10^{- 8}$

Some More Questions From The Solid State Chapter

Give the significance of a 'lattice point'.

Name the parameters that characterize a unit cell.

Distinguish between Hexagonal and monoclinic unit cells.

Distinguish between Face-centred and end-centred unit cells.

What is the two-dimensional coordination number of a molecule in square close packed layer ?

A compound is formed by two elements M and N. The element N forms ccp and atoms of M occupy 1/3 of tetrahedral voids. What is the formula of the compound?

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The Solid State

Aluminium forms fcc cubic crystals. The density of aluminium is 2.7 g cm^–3. Calculate the length of the edge of the unit cell of Al.

Some More Questions From The Solid State Chapter

Give the significance of a 'lattice point'.

Name the parameters that characterize a unit cell.

Distinguish between Hexagonal and monoclinic unit cells.

Distinguish between Face-centred and end-centred unit cells.

What is the two-dimensional coordination number of a molecule in square close packed layer ?

A compound is formed by two elements M and N. The element N forms ccp and atoms of M occupy 1/3 of tetrahedral voids. What is the formula of the compound?

Which of the following lattices has the highest packing efficiency:

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For Daily Free Study Material Join wiredfaculty

The Solid State

Aluminium forms fcc cubic crystals. The density of aluminium is 2.7 g cm–3. Calculate the length of the edge of the unit cell of Al.

Some More Questions From The Solid State Chapter

Give the significance of a 'lattice point'.

Name the parameters that characterize a unit cell.

Distinguish between Hexagonal and monoclinic unit cells.

Distinguish between Face-centred and end-centred unit cells.

What is the two-dimensional coordination number of a molecule in square close packed layer ?

A compound is formed by two elements M and N. The element N forms ccp and atoms of M occupy 1/3 of tetrahedral voids. What is the formula of the compound?

Which of the following lattices has the highest packing efficiency:

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Aluminium forms fcc cubic crystals. The density of aluminium is 2.7 g cm^–3. Calculate the length of the edge of the unit cell of Al.