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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

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AI Generated Solution

The correct Answer is:
To solve the question, we need to identify which crystal system is represented by the conditions: \( a \neq b \neq c \) and \( \alpha \neq \beta \neq \gamma \neq 90^\circ \). ### Step-by-Step Solution: 1. **Understanding the Notation**: - The letters \( a, b, c \) represent the lengths of the edges of the crystal unit cell. - The angles \( \alpha, \beta, \gamma \) represent the angles between these edges. 2. **Identifying the Conditions**: - The conditions given are: - \( a \neq b \neq c \): This means that all three edge lengths are different. - \( \alpha \neq \beta \neq \gamma \neq 90^\circ \): This means that all three angles are different and none of them is 90 degrees. 3. **Analyzing the Crystal Systems**: - **Orthorhombic**: In this system, \( a \neq b \neq c \) but \( \alpha = \beta = \gamma = 90^\circ \). So this does not fit our conditions. - **Monoclinic**: Here, \( a \neq b \neq c \) and \( \alpha = \gamma = 90^\circ \) while \( \beta \neq 90^\circ \). This does not fit our conditions either. - **Tetragonal**: In this system, \( a = b \neq c \) and \( \alpha = \beta = \gamma = 90^\circ \). This does not fit our conditions. - **Triclinic**: In this system, \( a \neq b \neq c \) and \( \alpha \neq \beta \neq \gamma \neq 90^\circ \). This fits our conditions perfectly. 4. **Conclusion**: - The crystal system that satisfies the conditions \( a \neq b \neq c \) and \( \alpha \neq \beta \neq \gamma \neq 90^\circ \) is **Triclinic**. ### Final Answer: The correct option is **Triclinic**.
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Knowledge Check

  • The crystal system for which a!= b!= c and alpha = beta = gamma = 90^(@) is said to be

    A
    Cubic
    B
    Tetragonal
    C
    Orthorhombic
    D
    Hexagonal
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