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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
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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1. Refer to the Table below that lists the first few spherical harmonics YM. Suppose we subject a linear rigid molecule to z-polarized microwave radiation. Show explicitly that the Y→ Yº rotational transition is allowed while the Yo Yo transition is not allowed. TABLE 6.3 The first few spherical harmonics. YOU 1 (4x)¹/2 3 Y₂¹ Y₂² 1/2 Y = 87 1/2 x² = (15) (3 cos² 0-1) 1/2 = sin Be 15 87 15 327 sin cos Be-¹ 1/2 sin² Be-24 Y₁ = Y₁¹ = 3 87 15 87 Y₂ = Y² = (3 15 1/2 32π cos 9 1/2 1/2 sin gel sin cos e 1/2 sin² 0e²
Transcribed Image Text:1. Refer to the Table below that lists the first few spherical harmonics YM. Suppose we subject a linear rigid molecule to z-polarized microwave radiation. Show explicitly that the Y→ Yº rotational transition is allowed while the Yo Yo transition is not allowed. TABLE 6.3 The first few spherical harmonics. YOU 1 (4x)¹/2 3 Y₂¹ Y₂² 1/2 Y = 87 1/2 x² = (15) (3 cos² 0-1) 1/2 = sin Be 15 87 15 327 sin cos Be-¹ 1/2 sin² Be-24 Y₁ = Y₁¹ = 3 87 15 87 Y₂ = Y² = (3 15 1/2 32π cos 9 1/2 1/2 sin gel sin cos e 1/2 sin² 0e²
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