P11B.9* In a study of the rotational spectrum of the linear FECO radical, Tanaka et al. (J. Chem. Phys. 106, 6820 (1997)) report the following J+1-J transitions: 24 25 26 27 28 29 v/MHz 214777.7 223379.0 231981.2 240 584.4 249 188.5 257793.5 Evaluate the rotational constant of the molecule. Also, estimate the value of J for the most highly populated rotational energy level at 298 K and at 100 K.

For 'H³°CI molecule, (N1/No) ratio at 300 K is 6.091 x 10² . Calculate the wavenumber ( in cm') for J=2→J=3 transition in the microwave spectrum of the molecule.

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1. Water shows the following vibrations: A₁ symmetrical stretch at 3657 cm ¹, B2 asymmetrical stretch at 3756 cm ¹, A₁ deformation at 1595 cm ¹¹. Determine which vibrations are active in IR absorption spectra and which are active in Raman spectra.

Infrared absorption by 1H127I gives rise to an R branch from v = 0. What is the wavenumber of the line originating from the rotational state with J = 2? Hint: Use data from Table 11C.1.

The vibrational transtion from v=0 to v=1 in CO occured at wavenumber= 2143.4 cm-1 calculate the force constant of CO

QI.P3 (a) Suppose that the you measure the lowest-energy rotational transition for 160'H at a frequency of 37.742 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 cm-1 B = 100 cm-1 (HINT: Recall that A is the coefficient along the unique direction.) Assuming that the excitation laser is at 10.000 cm1, calculate all the Anti-Stokes lines involving the J = 0, J = 1, and J = 2 states.

▼ ▼ Part A In the rotational spectrum of H³5Cl (I= 2.65 x 10-47 kg m²), the transition corresponding to the J = 4 to J = 5 transition is the most intense. At what temperature was the spectrum obtained? Express the temperature in kelvins to three significant figures. ΠΫΠΙ ΑΣΦ T = Submit Part B J= Request Answer At 1000. K, which rotational transition of H³5 Cl would you expect to demonstrate the greatest intensity? Express your answer as an integer. V—| ΑΣΦ Submit Request Answer K ?

What is the difference in population of 13C spins between the upper and lower states in a magnetic field at 2T and 300K?