The packing efficiency of the two-dimensional square unit cell shown below is

Question

The packing efficiency of the two-dimensional square unit cell shown below is (A) 39.27 % (B) 68.02 % (C) 74.05 % (D) 78.54 %

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/chemistry/f180be4334c26330adf3f238a7a554c6-.png" /> a =(2 √2 r ) P.F. =(2 × π r 2/(2 √2 r )2)=(2 π r 2/8 r 2)=(π/4)

Q. The packing efficiency of the two-dimensional square unit cell shown below is

$39.27%$

$68.02%$

74.05\%

78.54\%

$a = (22 r)$
$P . F . = \frac{2 \times π r ^{2}}{( 2 2 r ) ^{2}} = \frac{2 π r ^{2}}{8 r ^{2}} = \frac{π}{4}$

Q. The packing efficiency of the two-dimensional square unit cell shown below is

39.27%

68.02%

74.05\%

78.54\%

a=(22​r) P.F.=(22​r)22×πr2​=8r22πr2​=4π​

$39.27%$

$68.02%$

$a = (22 r)$
$P . F . = \frac{2 \times π r ^{2}}{( 2 2 r ) ^{2}} = \frac{2 π r ^{2}}{8 r ^{2}} = \frac{π}{4}$