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(a) Suppose that the you measure the lowest-energy rotational transition for 160'H at a frequency of 37.742 cm-!. What is the bond length in units of pm? (Show calculation)

(a) Suppose that the you measure the lowest-energy rotational transition for 160'H at a frequency of 37.742 cm-!. What is the bond length in units of pm? (Show calculation)

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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**Q1. P3** (a) Suppose that you measure the lowest-energy rotational transition for \(^{16}\text{OH}\) at a frequency of \(37.742 \, \text{cm}^{-1}\). What is the bond length in units of pm? (*Show calculation*) (b) Suppose that you have a symmetric rotor with rotational constants: \(A = 125 \, \text{cm}^{-1}\) \(B = 100 \, \text{cm}^{-1}\) (*HINT: Recall that A is the coefficient along the unique direction.*) Assuming that the excitation laser is at \(10,000 \, \text{cm}^{-1}\), calculate all the Anti-Stokes lines involving the \(J = 0\), \(J = 1\), and \(J = 2\) states.
Transcribed Image Text:**Q1. P3** (a) Suppose that you measure the lowest-energy rotational transition for \(^{16}\text{OH}\) at a frequency of \(37.742 \, \text{cm}^{-1}\). What is the bond length in units of pm? (*Show calculation*) (b) Suppose that you have a symmetric rotor with rotational constants: \(A = 125 \, \text{cm}^{-1}\) \(B = 100 \, \text{cm}^{-1}\) (*HINT: Recall that A is the coefficient along the unique direction.*) Assuming that the excitation laser is at \(10,000 \, \text{cm}^{-1}\), calculate all the Anti-Stokes lines involving the \(J = 0\), \(J = 1\), and \(J = 2\) states.
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