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The vibrational transtion from v=0 to v=1 in CO occured at wavenumber= 2143.4 cm-1 calculate the force constant of CO
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- Why is 133C-133C spin-spin splitting not observed in ordinary organic compounds?The wavenumber of the fundamental vibrational transition of Cl 2 is 565 em·'. Calculate the force constant of thebond.The wavenumber of the fundamental vibrational transition of Cl2 is 565 cm-1, Calculate the force constant of the bond.
- The fundamental vibrational wavenumber, ?, of the H19F molecule is at 4138.3 cm-1. Calculate the force constant of the H-F bond in units of N m-1.The protein haemerythrin (Her) is responsible for binding and carrying O2 in some invertebrates. Each protein molecule has two Fe2+ ions that are in very close proximity and work together to bind one molecule of O2, form ing an Fe2O2 group. (a) The Raman spectrum of oxygenated haemerythrinobtained with laser excitation at 500 nm has a band at 844 cm-1 which has been attributed to the O-O stretching mode of bound 16O2. Why is Raman spectroscopy and not infrared spectroscopy the method of choice for the study of the binding of O2 to haemerythrin? (b) Proof that the 844 cm-1band in the Raman spectrum of oxygenated haemerythrin arises from a bound O2 species may be obtained by conducting experiments on samples of haemerythrin that have been mixed with 18O2, instead of 16O2 . Predict the fundamental vibrational wavenumber of the 18O-18O stretching mode in a sample of haemerythrin that has been treated with 18O2. (c) The fundamental vibrational wavenumbers for the O-O stretching modes of O2,…The energy (or more correctly, the wavenumbers) for an allowed rotational transition of a linear rotor, taking into account centrifugal distortion, is (J+1)=2B (J+1)-4D; (J+1)³. Microwave spectroscopy finds the following energies (in cm³¹) for transitions of 12C¹6O, J: 0 1 2 3 3.845033 7.689919 11.534510 15.378662 19.222223. Determine B, DJ, and the equilibrium bond length of CO. (Please make sure to submit a plot and regression as part of your work.)
- 3. Complete the statements below to give the specific selection rules for microwave absorption spectroscopy and rotational Raman spectroscopy for a diatomic molecule treated as a rigid rotor in terms of the quantum number J. For microwave absorption spectroscopy, AJ = For rotational Raman spectroscopy, AJ =6) The wavenumber of the fundamental vibrational transition of 79Br8¹Br is 323.2 cm¹¹. Calculate the spring constant (k) of the bond. (note: 79Br = 78.9183 amu and 8¹Br = 80.9163 amu)Suppose the C=O group in a peptide bond can be regarded as isolated from the rest of the molecule. Given the force constant of the bond in a carbonyl group is 908 N m-1, calculate the vibrational wavenumber of (a) 12C=16O.(b) 13C=16O.
- 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 table below gives some spectroscopic constants (in cm³¹) for the OH radical in its two lowest electronic states X 2II A 2Σ+ V(Re) 0 32682 < 3735.2 3180.6 √ Xe 82.81 94.93 B 18.87 17.36 (b) Predict the wavenumber of the vibrational overtone transition (v=2v=0) in the ground electronic state (X ²П). (c) Predict the wavenumber of the electronic transition A 2Σ* (v=5, J=5) ← X ²П (v=1, J=5).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.]
