One of the crystalline system from seven crystal lattice systems have parameters a = b  = c and α = β = 9 0 ∘ , γ = 12 0 ∘ , a = 6 A ˚ then find the effective number of atoms per unit cell for this crystalline system?

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ChemistrySolid StateCrystalline And Amorphous SolidsMedium2 minQB

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One of the crystalline system from seven crystal lattice systems have parameters $a = b \neq = c$ and $α = β = 9 0^{\circ}, γ = 12 0^{\circ}, a = 6 \overset{˚}{A}$ then find the effective number of atoms per unit cell for this crystalline system?

Answer:

Solution:

Given a = b ≠ c, α = β = 90°, γ = 120° → hexagonal crystal system

Hexagonal unit cell contains 2 atoms in top & bottom layers and 3 atoms in middle layer

Total effective atoms per unit cell = 2 + 3 + 1 (shared contribution) = 6

Stream:JEESubject:ChemistryTopic:Solid StateSubtopic:Crystalline And Amorphous Solids

⏱ 2mℹ️ Source: QB

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