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Which process in the diagram below shows fluorescence?
A. |
4 |
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B. |
1 |
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C. |
5 |
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D. |
3 |
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- 2. The following is the relative number of molecules in the vibrational states of the 1CI molecule determined from spectroscopy: Vibrational level E, E, E, E, E, E, Relative Population 100 53.5 28.6 15.3 8.2 4.4 Calculate the temperature of the sample given that the vibrational frequency is 1.15 x 10"s'.The bond in 'H*Cl molecule and Ar2 is characterized by the force constant k 480 Nm-1 and k = 0.160 Nm-1. Assume that the molecule is described by a quan- tum harmonic oscillator. • What are the zero-point energies and the uncertainty in the bond length for these two molecules? • What will be the effect of deuteration (i.e., exchanging 'H with 2H) and the isotopic exchange of 35CI with 37CI on the zero point energy respectively if the force constant remains the same? Based on your result, determine the resolution of the spectrom- eter in cm- respectively in order to see the change by these two isotopic exchange and compare.5- The vibrations in infrared spectroscopy might be active or inactive?
- c) In a horizontal radiationless transition, the extent of overlap of the lu functions (probability distribution) of the initial and final states is the primary factor controlling the rate of internal conversion and intersystem crossing. Molecule (a) and molecule (c) of Figure 2 show the v = 0 vibrational level of the initial electronic state and v 7 vibrational level of the final state. Molecule (b) of Figure 2 shows the v= 0 vibrational level of the initial state and thev =1 vibrational level of the final state. Which one of the molecules (a), (b) or (c)) displays the strongest fluorescence? Explain your answer. (a) (b) (c) Figure 2: Overlap of the lyf functions for a radiationless transition between the initial (i) and finál (f) electronie states.Answer the following questions in minimum 5 sentences 3. Describe the difference between real deviations from Beer’s law and those due to instrumental orchemical factors.4. How does an electronic transition resemble a vibrational transition? How do they differ?A molecule in a liqu id undergoes about 1.0 x 1013 collisions in each second. Suppose that every col lis ion is effective in deactivating the molecule vibrationally and that one coll ision in 200 is effective. Calculate the width (in cm-1) of vibrational transitions in the molecule.
- 5- In Trans-[PDFC1;]° determine I'total, I'tran., I'rot. and I'vib., Which mode(s) is (are) active in IR and Raman spectroscopy?Calculate the vibrational and rotational temperatures (Ovib and Orot) for the diatomic molecular Lithium Hydride (LiH). The Li-H bond length is 0.1595 nm and the vibrational frequency (VL¡H) is 1405 cm'.a.) What is the ratio of the number of Cl_2 molecules in the excited vibration to the number in the zero-point level. b.) Calculate the ratio of the number in the v=1 level to the total number. v_0 = 559.7 cm^-
- 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 equilibrium vibration frequency of the Iodine molecule is Us cm¹ and the an harmonicas constant -0.003 What is the intensity of hot band v=1→v=2 relative to that of the fundamental v=0-v-1, if the temperature is 300 °K ? .What process is involved in #1? Singlet excitod states 2 Triplet excited state 5 Ground state S. Vibrational E delaxation A. vibrational relaxation B. intersystem crossing C. external conversion D. internal conversion