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- The vibrations of a CO2 molecule are symmetrical stretch, bend, and asymmetrical stretch (Figure ), with frequencies of 4.02x1013 s-1, 2.00x1013 s-1, and 7.05x1013 s-1, respectively. (a) What wavelengths correspond to these vibrations? (b) Calculate the energy (in J) of each vibration. Which uses the least energy?7. Consider the Jablonski diagrams below, where So, S₁, and S2 are all singlet electronic states, and T₁ is a triplet electronic state. (So is the electronic ground state.) The horizontal lines indicate the vibrational energy levels in each electronic state. The arrow drawn on the diagram represents the absorption of a UV photon with = 250 nm, promoting the molecule to a high vibrational level in the S₁ state. (The wavelength values here and below are meant as a guide, but this is not really a quantitative question.) Two different processes are described below the diagrams. Read each one, and then draw an appropriate set of arrows on the corresponding diagram to represent the process described. E Diagram #1 - Fluorescence process S₂ S₁ So SS5 T₁ Vo V4 V3 55555 V₂ V₁ V₁ Diagram #2 - Phosphorescence process E S₂ S₁ So 55555 Vo T₁ 7.1 Diagram #1: After the absorption shown in the diagram, the molecule fluoresces, emitting a photon with = 310 nm. ラララララ 7.2 Diagram #2: After the absorption…4. The vibrational frequency of 'H³°C1 is 8.963 x 1013 Hz. What is the force X constant of the bond in this molecule?
- Arrange the following energies in order of increasing magnitude: a) the typical energy of a covalent single bond; b) the mean molecular translational energy for a gas at room temperature; c) the mean rotational energy of a diatomic molecule at room temperature; d) the vibrational energy for a diatomic molecule at room temperature; e) the ionization energy of H. Justify your order.. Figure 8–59 illustrates an H,O molecule. The O-H bond length is 0.096 nm and the H- 0-H bonds make an angle of 104°. Calculate the moment of inertia of the H2O molecule (assume the atoms are points) about an axis passing through the center of the oxygen atom (a) perpendicular to the plane of the molecule, and (b) in the plane of the molecule, bisecting the H-0-Hbonds. H |104° FIGURE 8–59 H Problem 82.Q.1: The force constant of the bond in HCl is (516 N/m). Assuming the value of the force constant does not depend on the mass of the atoms in the molecule, calculate the fundamental vibrational frequency of each of the following: 'HCl. 'H'Cl and ?H*Cl. Q.2: The Interatomic Distance in the HCl Molecule The spacing, A(1 /2) between the lines in the rotational spectrum of HCI(g) is 20cm'.Calculate the distance between the nuclei (the length of the bond) in the HCl molecule.
- Indicate whether each statement is true or false. The larger the number of atoms in a molecule, the more degrees of freedom of rotational and vibrational motion it likely has.β-Carotene (1) is a linear polyene in which 10 sing le and 11 double bonds alternate along a chain of 22 carbon atoms. If the length of each CC bond is taken to be about 140 pm , then the length L of the molecular box in β-carotene is L = 2.94 nm. Estimate the wavelength of the light absorbed bythis molecule when it undergoes a t rans it ion from its ground state to the next higher excited state.The infrared spectra of the four isomers of the C5H10O molecule are given below. Match the spectra with the compounds whose structures are given.
- Classify the following molecules in terms of their moments of inertia along the three perpendicular axes. ** A B C Da.) Based on their ground state electron configurations alone, rank these molecule in order of bond dissociation energy from smallest to greatest:A = N2B = B2C = O2. b.) Based on their ground state electron configurations alone, rank these molecule in order of bond length from smallest to greatest:A = N2B = O2C = NOWrite the valence-bond wavefunction for the single bond in HCl?