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 Y→ Y₂ 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 cos²0-1) 1/2 = sin Be 15 87 15 327 sin cos le-¹ 1/2 sin²Ge-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

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 Y→ Y₂ 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 cos²0-1) 1/2 = sin Be 15 87 15 327 sin cos le-¹ 1/2 sin²Ge-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

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter29: Introduction To Quantum Physics

Section: Chapter Questions

Problem 1PE: A LiBr molecule oscillates with a frequency of 1.701013 Hz. (a) What is the difference in energy in...

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