1. Refer to the Table below that lists the first few spherical harmonics YM. Suppose we subjecta linear rigid molecule to z-polarized microwave radiation. Show explicitly that the Y→ Yºrotational transition is allowed while the Yo Yo transition is not allowed.TABLE 6.3The first few spherical harmonics.YOU1(4x)¹/23Y₂¹Y₂²1/2Y =871/2x² = (15) (3 cos² 0-1)1/2=sin Be158715327sin cos Be-¹1/2sin² Be-24Y₁ =Y₁¹ =3871587Y₂ =Y² = (3151/232πcos 91/21/2sin gelsin cos e1/2sin² 0e²

Answered: Image /qna-images/answer/b273f0d6-c8fe-4ba7-8a47-360104cc3fc4.jpg

linear rigid molecule to z-polarized microwave radiation. Show explicitly that the YO → Yº tational transition is allowed while the Y→ Y₂ transition is not allowed. TABLE 6.3 The first few spherical harmonics. Y = Y₂ Y₂¹ = 1 3 87 5 167 15 8.7 15 327 1/2 sin be 1/2 1/2 (3 cos² 0 - 1) sincos de-i 1/2 sin de Y = 1/2 x₁¹ = (2²)" 15 Y = (2) 15 32π X=(3 cos@ 1/2 1/2 sin gel sin cos e 1/2 sin² 0e²

linear rigid molecule to z-polarized microwave radiation. Show explicitly that the YO → Yº tational transition is allowed while the Y→ Y₂ transition is not allowed. TABLE 6.3 The first few spherical harmonics. Y = Y₂ Y₂¹ = 1 3 87 5 167 15 8.7 15 327 1/2 sin be 1/2 1/2 (3 cos² 0 - 1) sincos de-i 1/2 sin de Y = 1/2 x₁¹ = (2²)" 15 Y = (2) 15 32π X=(3 cos@ 1/2 1/2 sin gel sin cos e 1/2 sin² 0e²

Chemistry: The Molecular Science

5th Edition

ISBN:9781285199047

Author:John W. Moore, Conrad L. Stanitski

Publisher:John W. Moore, Conrad L. Stanitski

Chapter7: Molecular Structures

Section: Chapter Questions

Problem 65QRT

See similar textbooks

Similar questions

1) Predict the wavelength (in nm) of the lowest-energy electronic transition in the following polymethine ion, (CH3)2N+=CH-CH=CH-CH=CH-N(CH3)2. Assume C-N and C-C conjugated bond lengths to be equal to1.4Å. Please explain how you determine electron count, length, and homo/lomo for n values
Which molecules below are rotational Raman active and which are inactive. O3 CH4 NH3 H2 H2O SiH4 CF6 C4H10
3. If a hypothetic vibrational motion of a molecule can be described by Tvib = 2A1 + E, within the point group C4v, how many bands/peaks would you expect to see in its IR spectrum? Explain your reasoning. C, (4mm) E 2C, C, 20, 20. h = 8 1 1 1 1 x² + y', z2 A, 1 1 1 -1 -1 R_ B, 1 -1 1 1 -1 x² – y? B, 1 -1 1 -1 1 xy 2 -2 0 0 (x, y) (R, R) (zx, yz)
The UV spectrum of europium ions (Eu3+, 4f66s0) shows many peaks. Predict the term symbol for the ground state without listing all the micro states.
Q1 :A With reference to the 3f 1d 3p 1g and Is terms of a d2 configuration ,explain how you can use term symbols to gain information about allowed electronic transitions. wna W wwwon
If a hypothetic vibrational motion of a molecule can be described by Tvib = 2A1 + E, within the point group Cav, how many bands/peaks would you expect to see in its IR spectrum? Explain your reasoning. C (4mm) E 2C, C, 20, 20, h=8 A, 1 1 1 1 x + y', 2 1 1 1 A, B, B, 1-1 -1 R. 1 -1 1 -1 x- y 1 -1 1-1 xy 2 0 -2 0 (x, y) (R, R) (2x, y2) 3.
This question pertains to the heteronuclear diatomic 1H19 Given that the bond length of 1H19F is 0.91 angstrom (1 angstrom = 10-10m), calculate the moment of inertia. Calculate the rotational constant (in J) for the diatomic in part a. Using your value for the rotational constant in part b, determine the energy of the transition from state 3 to state 4 (in J). Do you expect the energy of the transition from state 3 to state 4 for 2H19F to be larger or smaller than what you computed in part c, assuming that the bond length does not change? Explain your choice based on the relevant equations, or calculate the energy for this transition. Steps 1, 2 and 3 have already been found. I need help with the last question only but I haven't been able to get it solved since there can only be three questions answered. The following answers for step 1-3 are below. 1. moment of inertia = 1.30 × 10-47 kgm2 2. rotational constant = 21.5 cm-1 3. Energy required from transition n= 3 to n= 4 is…
List all the terms to which a ³P₂ term may undergo an allowed transition.