Which of the following statements is correct | vedclass

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(A, B, C) $(1)$ Packing fraction: $2D-hcp = 0.906$,$2D-Square 	ext{ close packing} = 0.785$,$3D-hcp = 0.74$. Since $0.906 > 0.785 > 0.74$,the order i

Vedclass · Accepted Answer

Packing fraction: $2D-hcp > 2D-Square 	ext{ close packing} > 3D-hcp$

Vedclass · Answer

(A, B, C) $(1)$ Packing fraction: $2D-hcp = 0.906$,$2D-Square 	ext{ close packing} = 0.785$,$3D-hcp = 0.74$. Since $0.906 > 0.785 > 0.74$,the order is correct.$(2)$ Size of Void: $	ext{triangular void} $(3)$ Edge fraction occupied: $	ext{Edge fraction} = \frac{2r}{a}$. For $	ext{Primitive cubic}$,$a = 2r$,so $	ext{fraction} = 1$. For $	ext{bcc}$,$a = \frac{4r}{\sqrt{3}}$,so $	ext{fraction} = \frac{\sqrt{3}}{2} \approx 0.866$. For $	ext{fcc}$,$a = 2\sqrt{2}r$,so $	ext{fraction} = \frac{1}{\sqrt{2}} \approx 0.707$. Thus,$	ext{Primitive} > 	ext{bcc} > 	ext{fcc}$.All statements are correct.

Which of the following statements is correct regarding the packing efficiency or void size?

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