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The unit cell of a certain type of crystal is defined by three vectors a, b and c. The vectors are mutually perpendicular, but a ≠ b ≠ c. The crystal structure is
  • a)
    Triclinic
  • b)
    Tetragonal
  • c)
    Orthorhombic
  • d)
    Monoclinic
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The unit cell of a certain type of crystal is defined by three vectors...
If the atoms or atom groups in the solid are represented by points and the points are connected, the resulting lattice will consist of an orderly stacking of blocks or unit cells.
  • The orthorhombic unit cell is distinguished by three lines called axes of twofold symmetry about which the cell can be rotated by 180° without changing its appearance.
  • This characteristic requires that the angles between any two edges of the unit cell be right angles but the edges may be any length.
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The unit cell of a certain type of crystal is defined by three vectors...
Orthorhombic Crystal Structure
Orthorhombic crystal structures are characterized by three mutually perpendicular vectors a, b, and c, with a ≠ b ≠ c. This arrangement results in a rectangular prism unit cell.

Explanation:
- In an orthorhombic crystal structure, the vectors a, b, and c are all perpendicular to each other, creating a rectangular prism shape.
- The lengths of the vectors a, b, and c can be different, leading to unequal edges for the unit cell.
- The angles between the vectors a, b, and c are all 90 degrees.
- This type of crystal structure is different from triclinic, tetragonal, and monoclinic structures, as they have specific relationships between the vectors that do not apply to orthorhombic crystals.
Therefore, based on the given information that the vectors a, b, and c are mutually perpendicular but not equal to each other, the crystal structure is identified as orthorhombic.
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