1.10   Calculate the efficiency of packing in case of a metal crystal for

               (i) simple cubic

Answers (1)

(i) Simple cubic :-  In a simple cubic lattice the atoms are located only on the corners of the cube.

                               Thus, the side of the cube ‘a’, and the radius of each particle, r are related as:

                                                     a = 2r

                               Volume of cubic unit cell = (2r)^3 = 8r^3                               

                           And Volume of 1 atom : 

                                                                =\frac{4}{3}\Pi r^3

                              Packing\ efficiency = \frac{Volume\ of\ one\ atom}{Volume\ of\ cubic\ unit\ cell}\times100 \%

                                                                          

                                                                          = \frac{\frac{4}{3}\Pi r^3}{8\Pi r^3}\times100 \% = \frac{\Pi }{6}\times100\%

                                                                          = 52.4\%

Thus packing efficiency of simple cubic is 52.4\%

Related Chapters

Preparation Products

JEE Main Rank Booster 2021

This course will help student to be better prepared and study in the right direction for JEE Main..

₹ 13999/- ₹ 9999/-
Buy Now
Rank Booster NEET 2021

This course will help student to be better prepared and study in the right direction for NEET..

₹ 13999/- ₹ 9999/-
Buy Now
Knockout JEE Main April 2021 (Easy Installments)

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 4999/-
Buy Now
Knockout NEET May 2021

An exhaustive E-learning program for the complete preparation of NEET..

₹ 22999/- ₹ 14999/-
Buy Now
Knockout NEET May 2022

An exhaustive E-learning program for the complete preparation of NEET..

₹ 34999/- ₹ 24999/-
Buy Now
Exams
Articles
Questions