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

Engineering

Chemistry

Arrangement of Constituents Density and Efficiency

Question

78.54 %

39.27 %

74.05 %

68.02 %

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Area of square = L²

^{$& 4 R = \sqrt{2} L$}

^{$R = \frac{L}{2 \sqrt{2}}$}

% packing efficiency ^{$(η) = \frac{area of circle}{area of square} \times 100$}

^{$= \frac{2 \times {πR}^{2}}{L^{2}} \times 100$}

^{$= \frac{2 \times π \frac{L^{2}}{4 \times 2}}{L^{2}} \times 100 = 78 .5 %$}