(3). (40 points). Our experiment on Raman spectroscopy, we were able to determine the wavenumbers of oxyanions and then

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3 40 Points Our Experiment On Raman Spectroscopy We Were Able To Determine The Wavenumbers Of Oxyanions And Then 1 (69.32 KiB) Viewed 46 times

(3). (40 points). Our experiment on Raman spectroscopy, we were able to determine the wavenumbers of oxyanions and then calculate the force constants for the respective oxyanions. foto orgio "O 19900 Raman Spectroscopy 14900 1041.98, 13560 Counts 9900 978.96, 7458 - Nitrate -Phosphate -Sulfate 880.43, 4907 4900 m - 100 700 800 900 1000 1100 1200 1300 Wavenumber (cm^-1) The experimentally determine force constants, k, for Nitrate, sulfate and phosphate were 1020 898 and 717 respectively. Let's assume the force constants are estimates for diatomic molecules between the respective central atoms and adjacent oxygen atom (i.e., 14N160, 325160, and 31p160) (a). Calculate the zero-point vibrational energy for each of these diatomic molecules considering them as harmonic oscillators. (b). If the zero-point vibrational energy were converted to rotational energy of the respective diatomic molecules rotating in three dimensional: (i). calculate the respective moment of inertia, I and determine the bond length, R. of each diatomic molecule (Hint: Rotational energy is given by: E; = 10 +1) (ii). what would be the rotational quantum number,j? (The moment of inertia of diatomic molecule is / = 4R2, where R is the bond length.) =