PLEASE CAN SOMEONE TAKE A LOOK AT QUESTION (H) ONLY. PREVIOUS SOLUTIONS NOT WELL EXPLAINED. THANKS Iodine is a naturally occuring element in soil samples. The only natually occuring isotope is ∧(127)I . Iodine is the most abundant by product of nuclear-Fission; in particular ∧(131)I (8-day half-life) and ∧(129)I (15MiYear half life). Hydrogen plasma treatment of an earth sample is known to produce HI (gas), which has a bond length of 106.9pm . Emission spectroscopy can be done in the plasma (T ) = ( 15,000K) or absorption spectroscopy can be done downstream (in the exhaust) of the plasma ( T=400 K ) from which the presence of ∧(129)I and/or ∧(131)I can be determined. 3. (25 points) Rotational Spectroscopy: A. (2 points) State are the selection rules for rotational spectroscopy? B. (2 points) Provide a phenomenological justification of the selection rules. C. (1/2 point) Write the equation that gives the energy levels for rotational spectroscopy (non-rigid rotor). D. (2-1/2 points) Sketch (and label) the energy level diagram and show the allowed transitions for an absorption experiment. E. (3 points) Derive the formula for the energy of transitions for rotational spectroscopy in the rigid rotor approximation. F. (3 points) Sketch the rotational spectra (in the rigid rotor approximation), labeling the relevant values including the axis. Assume the Spectroscopy is being done in absorption mode. Show what affect 1st-order correction terms (non-rigid rotor) would have on the spectra. G. (4 points) Determine the rotational constant, B_(0) , for hydrogen- ∧(127) iodide. H. (3 points) What resolving power is needed to determine if any ∧(131)I is in the soil sample? and ∧(129)I ? Using the value for B_(0) from section G (use B=10cm^(-1) if you did not get a value in G.) I. (5 points) Calculate the photon frequency that would drive a J=3->J=4 transition.
PLEASE CAN SOMEONE TAKE A LOOK AT QUESTION (H) ONLY. PREVIOUS SOLUTIONS NOT WELL EXPLAINED. THANKS Iodine is a naturally occuring element in soil samples. The only natually occuring isotope is ∧(127)I . Iodine is the most abundant by product of nuclear-Fission; in particular ∧(131)I (8-day half-life) and ∧(129)I (15MiYear half life). Hydrogen plasma treatment of an earth sample is known to produce HI (gas), which has a bond length of 106.9pm . Emission spectroscopy can be done in the plasma (T ) = ( 15,000K) or absorption spectroscopy can be done downstream (in the exhaust) of the plasma ( T=400 K ) from which the presence of ∧(129)I and/or ∧(131)I can be determined. 3. (25 points) Rotational Spectroscopy: A. (2 points) State are the selection rules for rotational spectroscopy? B. (2 points) Provide a phenomenological justification of the selection rules. C. (1/2 point) Write the equation that gives the energy levels for rotational spectroscopy (non-rigid rotor). D. (2-1/2 points) Sketch (and label) the energy level diagram and show the allowed transitions for an absorption experiment. E. (3 points) Derive the formula for the energy of transitions for rotational spectroscopy in the rigid rotor approximation. F. (3 points) Sketch the rotational spectra (in the rigid rotor approximation), labeling the relevant values including the axis. Assume the Spectroscopy is being done in absorption mode. Show what affect 1st-order correction terms (non-rigid rotor) would have on the spectra. G. (4 points) Determine the rotational constant, B_(0) , for hydrogen- ∧(127) iodide. H. (3 points) What resolving power is needed to determine if any ∧(131)I is in the soil sample? and ∧(129)I ? Using the value for B_(0) from section G (use B=10cm^(-1) if you did not get a value in G.) I. (5 points) Calculate the photon frequency that would drive a J=3->J=4 transition.
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