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Question

Chemistry Question on Unit Cells

Which of the following is correct?

A

Crystal system - Cubic Axial Distance - ab=ca \neq b=c Axial angles α=βγ-\alpha=\beta \neq \gamma Examples -Cu,KClCu, KCl

B

Crystal system - Monoclinic Axial Distance - αb=c\alpha \neq b=c Axial angles - αβ=γ\alpha \neq \beta=\gamma =90=90^{\circ} Examples - pbCrO2,pbCrO4p b C r O_{2}, p b C r O_{4}

C

Crystal system - Rhombohedral Axial Distance a=b=c-a=b=c Axial angles - α=β=γ90\alpha=\beta=\gamma \neq 90^{\circ} Examples - CaCO3CaCO _{3}, Hgs

D

Crystal system - Triclinic Axial Distance - a=b=ca = b = c Axial angles αβ=γ90-\alpha \neq \beta=\gamma \neq 90^{\circ} Examples - K2Cr2O7CuSO45H2OK _{2}\, Cr _{2} \,O _{7}\, CuSO _{4} \,5 H _{2} O

Answer

Crystal system - Rhombohedral Axial Distance a=b=c-a=b=c Axial angles - α=β=γ90\alpha=\beta=\gamma \neq 90^{\circ} Examples - CaCO3CaCO _{3}, Hgs

Explanation

Solution

[a] For cubic a=b=ca=b=c and a=β=γ=90a=\beta=\gamma=90^{\circ} So, it is wrong. [b] For monoclinic abca \neq b \neq c and α=γ=90\alpha=\gamma=90^{\circ} and β90\beta \neq 90^{\circ} \therefore is wrong. [c] For triclinic abca \neq b \neq c and αβγ90\alpha \neq \beta \neq \gamma \neq 90^{\circ} \therefore It iswrong. [d] For rhombohedral crystal system a=b=ca=b=c and α=β=γ90\alpha=\beta=\gamma \neq 90^{\circ}.