Diamond has a face-centered cubic unit cell, with four more C atoms in tetrahedral holes within the cell. Densities of diamonds vary from 3.01 g/cm³ to 3.52 g/cm³ because C atoms are missing from some holes. (a) Calculate the unit-cell edge length of the densest diamond.

Respuesta :

The unit-cell edge length of the densest diamond = 3.57 × 10^-8 cm

Unit cell edge = ∛volume

 = ∛(molar mass) (no. of C atom in unit cell)/(density)(Avogadro number)

= ∛(12.01 g/mol)(8 C atom)/(3.52g/cm)( 6.022 × 10²³ C atom/mol)

=3.57 × 10^-8 cm

A unit cell is the smallest part of a crystal lattice that suggests the three-dimensional pattern of the complete crystal. A crystal can be the notion of the identical unit cell repeated time and again in 3 dimensions.

A unit cell is the smallest repeating part of a crystal lattice. Unit cells arise in lots of distinct varieties. As one example, the cubic crystal gadget is composed of 3 one of the kind styles of unit cells : (1) simple cubic, (2) face-centered cubic, and (3)body-targeted cubic.

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