Physical Chemistry
2nd Edition
ISBN: 9781133958437
Author: Ball, David W. (david Warren), BAER, Tomas
Publisher: Wadsworth Cengage Learning,
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Chapter 14, Problem 14.38E
A colleague states that the pure rotational spectrum of
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The wavenumber of the J = 3 ← 2 rotational transition of 1H35Cl considered as a rigid rotor is 63.56 cm−1; what is the H–Cl bond length?
You will perform rotational spectroscopy on the diatomic molecule 25A29B
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The rotational constant of NH3 is 298 GHz. Calculate the separation of the pure rotational spectrum lines as a frequency (in GHz) and a wavenumber (in cm−1), and show that the value of B is consistent with an N–H bond length of 101.4 pm and a bond angle of 106.78°.
Chapter 14 Solutions
Physical Chemistry
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- If the wavenumber of the J = 3 ← 2 rotational transition of 1H35Cl, which may be considered as a rigid rotator, is 63.56 cm−1 calculate the moment of inertia and the bond length of the molecule.[Note: m(1H) = 1.0078 u and m(35Cl) = 34.9688 u.]arrow_forwardThe energy (or more correctly, the wavenumbers) for an allowed rotational transition of a linear rotor, taking into account centrifugal distortion, is √ (J + 1 ← J) = 2 B (J + 1) - 4 DƑ (J + 1)³. Microwave spectroscopy finds the following energies (in cm-¹) for transitions of 12 C160, J: 0 1 2 3 4 3.845033 7.689919 11.534510 15.378662 19.222223. Determine B, D, and the equilibrium bond length of CO. (Please make sure to submit a plot and regression as part of your work.)arrow_forwardWhat is the most highly populated rotational level of Cl2 at (i) 25 °C, (ii) 100 °C? Take ᷉ B = 0.244 cm−1.arrow_forward
- The P-branch of the 2Π ← 2Σ+ transition of CdH shows a band head at J = 25. The rotational constant of the ground state is 5.437 cm−1. What is the rotational constant of the upper state? Has the bond length increased or decreased in the transition?arrow_forwardThe J = 2 → 3 pure-rotational transition for the ground vibrational state of 39K37C1 occurs at 22410 MHz. Neglecting centrifugal distortion, predict the frequency of the J = 0 → 1 pure-rotational transition of (a) 3ºK³7CI, and (b) 3ºK³C1. You may use the mass numbers as the masses of the corresponding atoms expressed in amu.arrow_forwardCalculate the frequency of the J = 5 + 4 transition in the pure rotational spectrum of 12c160. Assume the equilibrium bond length is 106.38pm. Frequency is Hz What is the corresponding wavenumber? cm-1arrow_forward
- The fundamental vibrational wavenumber of 1H19F is 4141.3 cm-1. Predict the fundamental vibrational wavenumber of the deuterium fluoride.arrow_forwardThe R-branch of the 1Πu ← 1Σg+ transition of H2 shows a band head at the very low value of J = 1. The rotational constant of the ground state is 60.80 cm− 1. What is the rotational constant of the upper state? Has the bond length increased or decreased in the transition?arrow_forwardCalculate the frequency of the J = 3 2 transition in the pure rotational spectrum of 12C16O. The equilibrium bond length is 112.81 pm.arrow_forward
- Pure rotational Raman spectra of gaseous C6H6 and C6D6 yield the following rotational constants: ᷉ B(C6H6) = 0.189 60 cm−1, ᷉ B(C6D6) = 0.156 81 cm−1. The moments of inertia of the molecules about any axis perpendicular to the C6 axis were calculated from these data as I(C6H6) = 1.4759 × 10−45 kg m2, I(C6D6) = 1.7845 × 10−45 kgm2. Calculate the CC and CH bond lengths.arrow_forwardE11C.2(a) Calculate the percentage difference in the fundamental vibrational wavenumbers of "Na Cl and "Na"Cl on the assumption that their force constants are the same. The mass of "Na is 22.9898m..arrow_forwardCalculate the frequency and wavenumber of the J = 2 ← 1 transition in the pure rotational spectrum of 12C16O. The equilibrium bond length is 112.81 pm. Would the frequency increase or decrease if centrifugal distortion is considered?arrow_forward
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