In which of the following crystal system 120° axial angle is present? [NCERT Pg. 10] (1) Orthorhombic (2) Tetragonal (3) Hexagonal (4) Cubic
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n Bravais lattices with cubic systems, the following relationships can be observed. a = b = c . = = = 90 o. The 3 possible types of cubic cells have been illustrated below. These three possible cubic Bravais lattices are – Primitive (or Simple) Cubic Cell (P) Body-Centered Cubic Cell (I) Face-Centered Cubic Cell (F) Examples: Polonium has a simple cubic structure, iron has a body-centered cubic structure, and copper has a face also
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The axial angle of 120° is present in Hexagonal crystal system.
Therefore the option (3) is correct.
Explanation:
- The angle between any two adjacent faces of a crystal system is called interfacial angle. They are represented by α, β and γ.
- In Cubic system, the all interfacial angles are equal to 90°. Therefore, . It is most symmetric crystal system.
- In Tetragonal system, again all the interfacial angles are equal to 90° and , .
- In Hexagonal crystal system, the two angles are equal to 90° but the third axial angle is equal to 120°. Therefore, α = β = 90° and γ= 120°.
- In Orthorhombic crystal system, again all angles are equal to 90°.
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