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- What are the energies and angular momenta of the first five energy levels of benzene in the 2-D rotational motion approximation? Use the mass of the electron and a radius of 1.51A to determine I.Define the term rotational motion?Define degrees of freedom as it relates to the movement of a molecule composed of N atoms (Be sure to differentiate between linear and nonlinear molecules)
- The rotation of a 1H127I molecule can be pictured as the orbital motion of the hydrogen atom at adistance of 160 pm from the stationary iodine atom. Suppose that the molecule rotates only in a plane.Calculate the minimum energy needed to excite the molecule into rotation. What, apart from 0, is theminimum angular momentum of the molecule?5. What are the assumptions taken by Michelson for theoretical shape of the Bunsen burner flame?An HCl molecule initially in the (v, J) = (0, 2) quantum state can absorb infrared photons. What are the two most likely final quantum states after absorbing an infrared photon? Calculate the energy of the infrared photonabsorbed for each of these transitions. Can it also absorb a microwave photon? If yes, calculate that photon energy also. The rotational constant of HCl is 10 cm-1 and its vibrational frequency is 2990 cm-1.
- The rotational spectrum of CH* has been observed in the planetary nebula NGC 7027." The spectrum shows a series of lines separated by 29.64 cm1. Calculate the bond length of CH*. Take the reduced mass of CH* to be 0.9299 g/mol. Give your answer in angstroms with two decimal places. Answer:How does quantum computing impact the simulation and prototyping of advanced materials and chemical compounds?Iodine-124 as a salt can be used in positron emission tomography (PET) to image and monitorthe thyroid for cancer screening. Assume a rotating 1H124I molecule is a stationary iodine atomupon which hydrogen circulates in a plane 161 pm away. Calculate:a) the moment of inertia of the molecule b) the greatest wavelength of radiation (lowest energy radiation) that can rotationally excite themolecule.
- Carbon dioxide is a linear molecule. The carbon-oxygen bonds in this molecule act very much like springs. Figure 11–58 shows one possible way the oxygen atoms in this molecule can oscillate: the oxygen atoms oscillate symmetrically in and out, while the central carbon atom remains at rest. Hence each oxygen atom acts like a simple harmonic oscillator with a mass equal to the mass of an oxygen atom. It is observed that this oscillation occurs at a frequency ƒ = 2.83 × 1013 Hz. What is the spring constant of the C-O bond?From the list of molecules below, select those that are classified as "spherical rotors". CgHg, cubane (cubic symmetry) CHC13, chloroform CH₂Cl2, methylene chloride CC14, tetracholomethane C6H6, benzene7. 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…
