QUESTION 4 Calculate the frequency (cm-1) of the J=2+1 transition in the pure rotational spectrum of 12c160. The equilibrium bond length is 112.81 pm.
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- Why is 133C-133C spin-spin splitting not observed in ordinary organic compounds?Is the bond length in 1HCl the same as that in 2HCl? The wavenumbers of the J = 1 ← 0 rotational transitions for 1H35Cl and 2H35Cl are 20.8784 and 10.7840 cm–1, respectively. Accurate atomic masses are 1.007 825mu and 2.0140mu for 1H and 2H, respectively. The mass of 35Cl is 34.968 85mu. Based on this information alone, can you conclude that the bond lengths are the same or different in the two molecules?(hydrogen iodide, the superscripts represent the atomic mass number) (a) How fast will HI molecules rotate at the quantized rotational state with the rotational quantun number J of 2, given the bond length of 0.161 nim? (b) Calculate the effective force constant of the vibrational mode of HI at a wavenumber of 2300 cm' measured by infrared absorption spectrum. (c) HI has the bond energy of 3.06 eV. Applying the parabolic approximation to estimate the longest distance in which H and I atoms can be stretched before the dissociation of the molecular bond
- 5. Calculate the frequency and wavenumber of the J = 3 € 2 transition in the pure rotational spectrum of 14N160. The equilibrium bond length is 115 pm. Does the frequency increase or decrease if centrifugal distortion is considered?The cesium iodide (CsI) molecule has an atomic separationof 0.127 nm. (a) Determine the energy of thesecond excited rotational state, with J = 2. (b) Find thefrequency of the photon absorbed in the J =1 to J = 2transition.Calculate the frequency of the J = 3 2 transition in the pure rotational spectrum of 12C16O. The equilibrium bond length is 112.81 pm.
- The first three absorption lines in the pure rotational spec- trum of gaseous 12C16O are found to have the frequencies 1.15 x 1011, 2.30 × 1011, and 3.46 × 1011 s-1. Calculate: (a) The moment of inertia I of CO (in kg m²) (b) The energies of the J = 1, J = 2, and J = 3 rotational levels of CO, measured from the J = 0 state (in joules) (c) The C-O bond length (in angstroms)Calculate the frequency of the J = 7 ← 6 transition in the pure rotational spectrum of 12C16O. Assume the equilibrium bond length is 109.36pm. Frequency is _____ H What is the corresponding wavenumber? ______ cm-13 Calculate the frequencies and wavelengths for the rotational transition J = 0 → J = 1 and J = 4 → J = 5 for the HCl molecule. The internuclear distance is Re = 0.12745 nm. What is the frequency shift between the two isotopomers H35Cl and H37Cl for the two transitions?
- You know that the wavenumbers of the rotational transition J = 1← 0 for 1H35Cl and2H35Cl are 20.8784 and 10.7840cm-1, respectively. Accurate atomic masses are1.007825 and 2.0140 for 1H and 2H, respectively. The mass of 35Cl is34.96885. Conclude based on this information that the bond lengths are the sameor different2.2 You know that the wavenumbers of the rotational transition J = 1← 0 for 1H35Cl and 2H35Cl are 20.8784 and 10.7840cm-1, respectively. Accurate atomic masses are 1.007825 and 2.0140 for 1H and 2H, respectively. The mass of 35Cl is 34.96885. Conclude based on this information that the bond lengths are the sameCalculate the frequency and wavenumber of the J = 3 ← 2 transition in the pure rotational spectrum of 14N16O. The equilibrium bond length is 115 pm. Would the frequency increase or decrease if centrifugal distortion is considered?
