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Which of the following crystal is repres...

Which of the following crystal is represented by `a ne b ne c` and `alpha ne beta ne gamma ne 90^(@)` ?

A

Orthorhombic

B

Monoclinic

C

Triclinic

D

Tetragonal

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding the type of crystal represented by the conditions `a ≠ b ≠ c` and `α ≠ β ≠ γ ≠ 90°`, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Given Conditions**: - We have three edge lengths: `a`, `b`, and `c`. - We have three angles: `α`, `β`, and `γ`. - The conditions state that all edge lengths are unequal (`a ≠ b ≠ c`) and all angles are also unequal (`α ≠ β ≠ γ`) and not equal to 90°. 2. **Identify the Crystal Systems**: - Crystals can be classified into several systems based on their edge lengths and angles: - **Cubic**: `a = b = c` and `α = β = γ = 90°` - **Tetragonal**: `a = b ≠ c` and `α = β = γ = 90°` - **Orthorhombic**: `a ≠ b ≠ c` and `α = β = γ = 90°` - **Monoclinic**: `a ≠ b ≠ c`, `α = γ = 90°`, and `β ≠ 90°` - **Triclinic**: `a ≠ b ≠ c` and `α ≠ β ≠ γ` and none equal to 90°. 3. **Analyze the Conditions**: - The conditions `a ≠ b ≠ c` eliminate cubic, tetragonal, and orthorhombic systems. - The condition `α ≠ β ≠ γ` and none equal to 90° eliminates monoclinic as well. 4. **Conclusion**: - The only crystal system that fits all the given conditions is the **Triclinic** system, where all edges are unequal and all angles are also unequal and not equal to 90°. ### Final Answer: The crystal represented by the conditions `a ≠ b ≠ c` and `α ≠ β ≠ γ ≠ 90°` is **Triclinic**. ---
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Knowledge Check

  • a ne bc and alpha ne beta ne gamma follow

    A
    Triclinic
    B
    Monoclinic
    C
    Rhombohedral
    D
    Tetrahedral
  • In a crystal AB, which of the following crystal systems will have parameters, a ne b ne c and alpha = beta = gamma = 90^(@) ?

    A
    Cubic
    B
    Orthorhombic
    C
    Monoclinic
    D
    Triclinic
  • In which of the following systems primitives. a ne b ne c ?

    A
    Orthorhombic
    B
    Monoclinic
    C
    Triclinic
    D
    Hexagonal
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