Sponsor Area

The Solid State

Question
CBSEENCH12011333

Which of the following statements is not correct? 

  • The fraction of the total volume occupied by the atoms in a primitive cell is 0.48

  • molecules solids are generally volatile

  • the number of carbon atoms in a unit cell

  • The number of Bravais latices in which a crystal can be categorised is 14

Solution

A.

The fraction of the total volume occupied by the atoms in a primitive cell is 0.48

D.

The number of Bravais latices in which a crystal can be categorised is 14

Packing fraction of lattice structure or fraction of total volume occupied

equals space fraction numerator Volume space occupied space by space atoms space in space straight a space unit space cell over denominator volume space of space the space unit space cell end fraction
Packing space fraction space of space simple space cube
space equals space fraction numerator straight z space straight x begin display style 4 over 3 end style space πr cubed over denominator straight a cubed end fraction space equals fraction numerator 1 space straight x space begin display style 4 over 3 end style space πr squared over denominator left parenthesis 2 straight r right parenthesis cubed end fraction
therefore comma space For space primitive space cell space straight a space space equals space 2 straight r
volume space occupied space space equals space 52 percent sign