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The vibrational frequency of 'H³°C1 is 8.963 x 1013 Hz. What is the force
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constant of the bond in this molecule?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4528b61c-28f1-4d39-8140-38c8cd61194f%2F18365eb7-6967-469c-aac6-f72a98e2e893%2Fiavsmeg_processed.jpeg&w=3840&q=75)
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- 6. The NaH molecule undergoes a rotational transition from J=0 to J=1 when it absorbs a photon of frequency 2.94×10' Hz. What is the equilibrium bond length of the 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.The frequency of vibration of a chemical bond is a function of which two (2) factors ?
- Explain the importance of the quantization of vibrational, rotational, and translational energy as it relates to the behavior of atoms and molecules.4. a) The force constant of "Br2 is 300 Nm-1. Determine its vibrational energy (in Joules and eV), zero-point energy and vibrational frequency. b) The 1H17F (rigid type) has bond length 0.16nm. Determine its rotational constant in Joules, eV and cm-1.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.
- Chemistry Let ωCH be the angular frequency of the C-H bond stretching vibration observed in theIR spectrum of an organic molecule. (Note that angular frequency ω = 2πν). EstimateωC2H, the bond stretching frequency when 1H is substituted by 2H in the molecule.(Express ωC2H in terms of ωCH).3. Determine the internal energy of an HCl molecule having one quantum of vibrational excitation (v=1) and three quanta (J=3) of rotational excitation. (v = 2990.9 cm³¹ and B = 10.59 cm ¹)559.7 cm¹, and a rotational constant, B = 0.244 cm ¹¹. 18. Chlorine has a vibrational constant, U = From this information, determine (a) the force constant and (b) the equilibrium bond length.
- 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.A). A molecule can have various types of energies (translational, rotational, vibrational, and electronic), the sum of which is the molecule's total energy. ?trans=(?^2?+?^2?+?^2?)(ℎ^2/8??^2/3) ?rot=?(?+1)ℎ^2/8?2? ?vib=(?+1/2)(ℎ?) In the equations, ??, ??, ??, ?, and ? are quantum numbers, ℎ is Planck's constant, ? is the mass of the molecule, ? is the volume of the container, ? is the moment of inertia of the molecule, and ? is the fundamental vibration frequency. For carbon monoxide, CO , the moment of inertia is ?=1.45×10−46 kg⋅m2, and the fundamental vibration frequency is ?=2130 cm−1. Let ?=12.8, and let all the quantum numbers be equal to 11 . Calculate the translational, rotational, and vibrational energies per mole of CO for these conditions. ?trans= J/mol ?rot= J/mol ?vib= J/mol B). If the electronic energy of CO is 9.14 eV per molecule, calculate the total energy of CO per mole. ?total= J/mol C). Which types of energy are…The hydrogen halides have the following fundamental vibrational wavenumbers: 4141.3 cm−1 (1H19F); 2988.9 cm−1 (1H35Cl); 2649.7 cm−1 (1H81Br); 2309.5 cm−1 (H127I). Calculate the force constants of the hydrogen–halogen bonds.
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