Match the following Lists List - I Cubic Crystal System List - II Packing efficiency (P) atoms are present at corners as well as on edge centre (1) π /6 (Q) atoms are present at corners as well as on

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Match the following Lists List - I Cubic Crystal System List - II Packing efficiency (P) atoms are present at corners as well as on edge centre (1) π /6 (Q) atoms are present at corners as well as on face centre (2) 3 ​ π /8 (R) atoms are present at corners as well as on body centre (3) π /12 (S) atoms are present only at corners (4) 2 ​ π /6 (5) π /4

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PF = Vol. of unit cell Vol. of atoms in unit cell ​ (P) a = 4 R , z = 4 , P.E. = ( 4 R ) 3 4 × 3 4 ​ π R 3 ​ = 12 π ​ (Q) FCC, P.E. = 3 2 ​ π ​ = 6 2 ​ π ​ (R) BCC, P.E. = 3 × ( 3 ​ 4 R ​ ) 3 8 π R 3 ​ = 8 3 ​ π ​ (S) SC, P.E. = 8 R 3 3 4 ​ π R 3 ​ = 6 π ​

List - I Cubic Crystal System	List - II Packing efficiency
(P) atoms are present at corners as well as on edge centre	(1) $π /6$
(Q) atoms are present at corners as well as on face centre	(2) $3 π /8$
(R) atoms are present at corners as well as on body centre	(3) $π /12$
(S) atoms are present only at corners	(4) $2 π /6$
	(5) $π /4$

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