ABC26PH1087 · Group Theory

Subject: Physical Chemistry · Chapter: Group Theory · Topic: Group Theory – General · Exam: NET DEC 2019 · Marks: 2 · Difficulty: Medium

The observed IR spectrum of $\mathrm{BCl_3}$ exhibits three bands at 995, 480 and $244\,\mathrm{cm^{-1}}$, while the Raman bands are observed at 995, 471 and $244\,\mathrm{cm^{-1}}$. Given that for $\mathrm{BCl_3}$ $\Gamma_{vib} = \mathrm{A_1}'+2\mathrm{E}'+\mathrm{A_2}''$, the frequency of $\mathrm{A_1}'$ mode in $\mathrm{cm^{-1}}$ is
$\mathrm{D_{3h}}$E$2\mathrm{C_3}$$3\mathrm{C_2}$$\sigma_h$$2\mathrm{S_3}$$3\sigma_v$
$\mathrm{A_1}'$111111$x^2+y^2, z^2$
$\mathrm{A_2}'$11-111-1$R_z$
E'2-102-10(x,y)
$\mathrm{A_1}''$111-1-1-1
$\mathrm{A_2}''$11-1-1-11z
E''2-10-210$(R_x,R_y)$
Answer
Answer (as printed): B

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Explanation
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