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For orthorhombic system axial ratios are a≠b≠c and the axial angles areα=β=γ≠90∘α=β=γ=90∘α=β=γ=90∘,β=90∘α≠β≠γ=90∘

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Solution

The orthorhombic system in crystallography is characterized by specific properties regarding its axial ratios and angles. Below are the key points that define the orthorhombic system:

  1. Axial Ratios: In the orthorhombic system, the lengths of the three axes are unequal. This is denoted as abc a \neq b \neq c , where a a , b b , and c c are the lengths of the crystal axes.

  2. Axial Angles: The angles between the axes in the orthorhombic system are all 90 90^\circ . Specifically, this means:

    • α=90 \alpha = 90^\circ
    • β=90 \beta = 90^\circ
    • γ=90 \gamma = 90^\circ

In summary, the defining characteristics of the orthorhombic system are:

  • Axial ratios: abc a \neq b \neq c
  • Axial angles: α=β=γ=90 \alpha = \beta = \gamma = 90^\circ

This definition helps to distinguish the orthorhombic system from other crystal systems, where the relationships between axial lengths and angles may vary.

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