TS EAMCET · Chemistry · Solid State

The correct option for axial distances and axial angles for hexagonal crystal system is

A $a \neq b \neq c, α \neq β \neq γ = 90 °$
B $a = b \neq c, α = β = γ = 90 °$
C $a = b \neq c, α = β = 90 °, γ = 120 °$
D $a \neq b \neq c, α = β = γ = 90 °$

Verified Solution

Answer & Solution

Correct Answer

(C) $a = b \neq c, α = β = 90 °, γ = 120 °$

Step-by-step Solution

Detailed explanation

Hexagonal crystal system comprises four axes. The three axes are all contained within a single plane (called the basal plane) and are at 120°. They intersect each other at an angle of sixty degrees. The fourth axis intersects other axes at right angles. The edges at the…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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