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ChemistryMatrix match+6Question 44 of 66

IIT-JEE 2007 · Paper 2, Chemistry question 44

Match the crystal system/unit cells mentioned in Column I with their characteristic features mentioned in Column II. Indicate your answer by darkening the appropriate bubbles of the 4 × 4 matrix given in the ORS.

Column I

  • A
    simple cubic and face-centred cubic
  • B
    cubic and rhombohedral
  • C
    cubic and tetragonal
  • D
    hexagonal and monoclinic

Column II

  • P
    have these cell parameters a=b=ca=b=c and α=β=γ\alpha=\beta=\gamma
  • Q
    are two crystal systems
  • R
    have only two crystallographic angles of 90°
  • S
    belong to same crystal system
Mark every match for each entry
PQRS
A
B
C
D
Answer and worked solution

Official answer: A → P, S; B → P, Q; C → Q; D → Q, R

Cell parameters. Cubic: a=b=ca=b=c, all angles 90°. Rhombohedral: a=b=ca=b=c, α=β=γ≠90°\alpha=\beta=\gamma\ne90°. Tetragonal: a=b≠ca=b\ne c, all angles 90°. Hexagonal: α=β=90°\alpha=\beta=90°, γ=120°\gamma=120°. Monoclinic: α=γ=90°≠β\alpha=\gamma=90°\ne\beta.

  • A, simple cubic and fcc: both are cubic lattices: a=b=ca=b=c, α=β=γ\alpha=\beta=\gamma; same crystal system. → P, S.
  • B, cubic and rhombohedral: both have a=b=ca=b=c and equal angles, but they are two different systems. → P, Q.
  • C, cubic and tetragonal: two systems; each has three 90° angles. → Q.
  • D, hexagonal and monoclinic: two systems, each with exactly two 90° angles. → Q, R.

Answer: A → P, S; B → P, Q; C → Q; D → Q, R

Topics:Crystal lattices and unit cells
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