Question:
Identify from following crystal system that its unit cell possesses edge length \(a=b=c\) and angle between these axes \(\alpha =\beta =\gamma =90^{\circ }\).
Identify from following crystal system that its unit cell possesses edge length \(a=b=c\) and angle between these axes \(\alpha =\beta =\gamma =90^{\circ }\).
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Equal edges with all angles 90 degrees describe a cube.
Updated On: Nov 12, 2026
- Cubic
- Orthorhombic
- Tetragonal
- Monoclinic
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The Correct Option is A
Solution and Explanation
Step 1: Understanding the Concept
The seven crystal systems differ in axial lengths and angles.
Step 2: Match
\(a=b=c\) and \(\alpha=\beta=\gamma=90^{\circ}\) is the cubic system.
Step 3: Why the others fail
Tetragonal has \(a=b\neq c\). Orthorhombic has \(a\neq b\neq c\). Monoclinic has one angle not equal to \(90^{\circ}\).
Final Answer:
The crystal system is cubic. \[ \boxed{\text{(A) }\text{Cubic}} \]
The seven crystal systems differ in axial lengths and angles.
Step 2: Match
\(a=b=c\) and \(\alpha=\beta=\gamma=90^{\circ}\) is the cubic system.
Step 3: Why the others fail
Tetragonal has \(a=b\neq c\). Orthorhombic has \(a\neq b\neq c\). Monoclinic has one angle not equal to \(90^{\circ}\).
Final Answer:
The crystal system is cubic. \[ \boxed{\text{(A) }\text{Cubic}} \]
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