Q1. The classical frequency of vibration (V.) of AB molecule is 4271.8 cm¹ and experimental dissociation energy (D₂) is5.56 eV. What is the vibrational quantum number (v) at which experimental dissociation occurs?A) 8B) 10C) 7D) 6E) 9F) 5Q2. If a photon of energy 4.9x10-19 Jejects an electron from a metal having a workfunction energy of 2.483 eV, thevelocity of the emitted electron is:A) 4.5x10³ m/s B) 1.5x10³ m/sC) 3.2x10³ m/s D) 5.5x10 m/s E) 1.5x10 m/s F) 4.5×10³ m/sQ3. The velocity of an electron having a wavelength of 800 nm is:B) 2.06x10³ m/sA) 1.03x10² m/sC) 9.09×10² m/s D) 3.05x10³ m/sE) 7.40x10¹ m/sF) 4.5x10 m/s

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Q1. The classical frequency of vibration (V₂) of AB molecule is 4271.8 cm³ and experimental dissociation energy (D₂) is 5.56 eV. What is the vibrational quantum number (v) at which experimental dissociation occurs? A) 8 B) 10 C) 7 D) 6 E) 9 F) 5

Q1. The classical frequency of vibration (V₂) of AB molecule is 4271.8 cm³ and experimental dissociation energy (D₂) is 5.56 eV. What is the vibrational quantum number (v) at which experimental dissociation occurs? A) 8 B) 10 C) 7 D) 6 E) 9 F) 5

Principles of Modern Chemistry

8th Edition

ISBN:9781305079113

Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Chapter20: Molecular Spectroscopy And Photochemistry

Section: Chapter Questions

Problem 7P

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Q1. The classical frequency of vibration (V.) of AB molecule is 4271.8 cm¹ and experimental dissociation energy (D₂) is 5.56 eV. What is the vibrational quantum number (v) at which experimental dissociation occurs? A) 8 B) 10 C) 7 D) 6 E) 9 F) 5 Q2. If a photon of energy 4.9x10-19 Jejects an electron from a metal having a workfunction energy of 2.483 eV, the velocity of the emitted electron is: A) 4.5x10³ m/s B) 1.5x10³ m/s C) 3.2x10³ m/s D) 5.5x10 m/s E) 1.5x10 m/s F) 4.5×10³ m/s Q3. The velocity of an electron having a wavelength of 800 nm is: B) 2.06x10³ m/s A) 1.03x10² m/s C) 9.09×10² m/s E) 7.40x10² m/s F) 4.5x10 m/s D) 3.05x10³ m/s highest occupied energy level (HOMO) for a linear conjugated
8. Electronic Spectroscopy. Vibrational spectroscopy refers to changes in vibrational energy levels. Electronic spectroscopy refers to the photon energy absorbed or emitted by a molecule from electron transitions between different possible electronic states. On the diagram below, Draw arrows to illustrate the processes, and Label with the letters shown in bold. a) Franck-Condon principle for electronic excitation (F-C), from vibrational ground state v = 0. b) Collisional Relaxation in the excited states without photon emission (CR) c) Return to the ground state via Fluorescence (F) d) Intersystem Crossing (ISC) e) Return to the ground state via Phosphorescence (P) f) Infra Red absorbance of one quantum of vibrational energy from v = 0 in the ground state (IR) Raman scattering that allows transition from v = 0 to v = 1, in the ground state (RAMAN) On the x-axis, indicate the bond lengths re and ro for the ground electronic state only. Draw an arrow to show the magnitude of the Zero…
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A molecule can have various types of energies (translational, rotational, vibrational, and electronic), the sum of which is the molecule's total energy. E trans = (n +n + n²) Erot = J (J + 1) h² 87²1 Evib = (U+ 1 ) h hv h² 8mV (2/3) In the equations, nx, ny, nz, J, and u are quantum numbers, h is Planck's constant, m is the mass of the molecule, V is the volume of the container, I is the moment of inertia of the molecule, and v is the fundamental vibration frequency. For carbon monoxide, CO, the moment of inertia is I = 1.45 x 10-46 kg-m², and the fundamental vibration frequency is v = 2130 cm-¹. Let V = 12.5 L, and let all the quantum numbers be equal to 1. Calculate the translational, rotational, and vibrational energies per mole of CO for these conditions.
The vibrational frequency of the hydrogen chloride HCl diatomic molecule is 8.97 x 1013Hz. chloride atom is 35.5 times more massive than hydrogen atom. (mµ = 1.67 x 0-27kg,c = 3.0 x 10°m/s) a) What is the force constant of the molecular bond between the hydrogen and the chloride atoms? b) What is the energy of the emitted photon when this molecule makes a transition between adjacent vibrational energy levels? c) What is the wavelength of the emitted photon? d) The possible wavelengths of photons emitted with the HCl molecule decays from the 2nd excited state eventually to the ground state(0 state).
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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…
+ P25.2 The ground electronic state of O₂ is ³Σ, and the next two highest energy states are ¹Ag (7918 cm¯¹), and ¹Σg (13195 cm¹) where the value in parentheses is the energy of the state relative to the ground state. a. Determine the excitation wavelength required for a transition between the ground state and the first two excited states. b. Are these transitions allowed? Why or why not?
3. Which process is expected to involve the highest energy? Transition from n=5 to n=1 in hydrogen atom Vibrational bending mode of CO2 at 526 cm C) Transition from n=4 to n33 in hydrogen atom D) H2O molecules excited by microwave radiation E) Rotation of H2O molecules
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