Question based on Frank Condon principle
Which depicts a transition to a dissociative state? Which depicts a transition in a molecule that has a larger bond length in the excited state? Which represents the states of a molecule for which the v"=0 → V'=3 transition is strongest? Which represents molecules that can dissociate after electronic excitation? Which would show the largest intensity in the 0-0 transition?
Homework Answers
(20 pts) 6. (a) Consider a molecule with two Franck-Condon active vibrations with "Trequencies" Vi = 600 and v2=1500 cm-1, with displacement parameters λι = 1.0 and λ2-2.0 for electronic e...
(20 pts) 6. (a) Consider a molecule with two Franck-Condon active vibrations with "Trequencies" Vi = 600 and v2=1500 cm-1, with displacement parameters λι = 1.0 and λ2-2.0 for electronic excitation to a certain excited electronic state. All other vibrations have λ=0. Make a table of the transition wavenumbers and Frack-Condon values for all vibronic transitions from the 0 vibrational level of the ground state that includes all combinations and overtones with vibrational energy below 4000 cm. (b) What fraction...
A system consists of two non-degenerate states separated in energy by an amount e As the...
A system consists of two non-degenerate states separated in energy by an amount e As the temperature is raised towards infinity, which of the following statements is correct? A. The frequency of photons whose energy matches the transition energy goes do B. The population in the upper state will exceed that in the ground state. C. The probability of a molecule occupying either state becomes similar D. At a sufficiently high temperature laser action will occur. Ground state Br2 dissociates...
7. π electron is an electron which resides in the pi bond(s) of a double bond or a triple bond, o...
7. π electron is an electron which resides in the pi bond(s) of a double bond or a triple bond, or in a conjugated p orbital. The 1,3,5-hexatriene molecule is a conjugated molecule with 6 t electrons. Consider the Tt electrons free to move back and forth along the molecule through the delocalized pi system. Using the particle in a box approximation, treat the carbon chain as a linear one-dimensional "box". Allow each energy level in the box to hold...
(30) Given the equilibrium bond length of CO is 1.138, explore population fractions (Eq. 2) of...
(30) Given the equilibrium bond length of CO is 1.138, explore population fractions (Eq. 2) of the ground state and first 15 pure rotational excited states relative to the ground state (where {=0). Mathematica is recommended. Do this at 298 K and at 100 K. Comment on how the results differ compared to part a). 1) In the application of quantum mechanical and statistical mechanical principles to samples containing large numbers of species (e.g. macroscopic samples of molecules), there is...
CHEM20020 Structure and Properties Question 8. [time = 10 minutes) Benzene (C6H) has a cyclic structure...
CHEM20020 Structure and Properties Question 8. [time = 10 minutes) Benzene (C6H) has a cyclic structure with Dh symmetry. Using a particle-on-a-ring model calculate the energy and wavelength for the lowest electronic trans elength for the lowest electronic transition of the benzene molecule. Clearly explain (using a diagram) which energy levers are sing a diagram) which energy levels are involved in the transition. Make the following assumptions: 1. The r electrons can be approximated as moving on a 2-D ring....
IR absorption soectrum of gasphase hcl question The infrared absorption spectrum of gas-phase HCl can be...
IR absorption soectrum of gasphase hcl question
The infrared absorption spectrum of gas-phase HCl can be analyzed to gain information about both rotation and vibration of the molecule. The absorption lines shown involve transitions from the ground (v = 0) to first excited vibrational state (v = 1) of HCl, but also involve changes in the rational state with a change Delta j = +1 (right branch) and Delta j = -1 (left branch). The splitting of the lines shows...
17. The distance between an electron and a hole across a band gap following electronic excitation...
17. The distance between an electron and a hole across a band gap following electronic excitation is called A. Bohr exciton radius B. Bohr radius C. quantum D. conduction band 18. When a photon strikes an atom, the energy is absorbed by A. a proton which moves to an excited state. B. a neutron which causes the nucleus to split. C. an electron which moves from the ground to an excited state. D. nothing. A photon is never absorbed by...
3. [5] Retinal consists of a chain of carbon atoms roughly 1.5 nm long. Electrons in...
3. [5] Retinal consists of a chain of carbon atoms roughly 1.5 nm long. Electrons in this long chain molecule behave very much like particles in a box The retinal molecule is a linear molecule that has 12 electrons that are free to move about the chain According to the Pauli exclusion principle, when this molecule is in its ground state, these 12 electrons fill the first 6 states of the box. Thus, the lowest energy photon that can be...
In the ro-vibrational model for spectra of diatomic molecules, the total rotational and vibrational energy for...
In the ro-vibrational model for spectra of diatomic molecules, the total rotational and vibrational energy for a given state is: Évj = ū(v + 3) + BJC +1) (Equation 1) where v is the vibrational quantum number and J is the rotational quantum number. Complete the following steps to create a model energy level diagram for a hypothetical diatomic molecule with ✓ = 2000 cm-1 and B = 1 cm-1. i) Draw a horizontal line to represent the ground vibrational...
please I need help with this Х Lab 11.pdf Lab 11.pdf INTRODUCTION The chemical and physical...
please I need help with this
Х Lab 11.pdf Lab 11.pdf INTRODUCTION The chemical and physical properties of substances are influenced by the way in which valence electrons are distributed and by the three-dimensional shape of the molecule or ion. X- ray and neutron diffraction, infrared, Raman and microwave absorption spectroscopy, as well as dipole moment measurements, are used to ascertain the three-dimensional structure of a substance. Thus, techniques are available which can identify the geometry of substances Results of...
(20 pts) 6. (a) Consider a molecule with two Franck-Condon active vibrations with "Trequencies" Vi = 600 and v2=1500 cm-1, with displacement parameters λι = 1.0 and λ2-2.0 for electronic excitation to a certain excited electronic state. All other vibrations have λ=0. Make a table of the transition wavenumbers and Frack-Condon values for all vibronic transitions from the 0 vibrational level of the ground state that includes all combinations and overtones with vibrational energy below 4000 cm. (b) What fraction...
A system consists of two non-degenerate states separated in energy by an amount e As the temperature is raised towards infinity, which of the following statements is correct? A. The frequency of photons whose energy matches the transition energy goes do B. The population in the upper state will exceed that in the ground state. C. The probability of a molecule occupying either state becomes similar D. At a sufficiently high temperature laser action will occur. Ground state Br2 dissociates...
7. π electron is an electron which resides in the pi bond(s) of a double bond or a triple bond, or in a conjugated p orbital. The 1,3,5-hexatriene molecule is a conjugated molecule with 6 t electrons. Consider the Tt electrons free to move back and forth along the molecule through the delocalized pi system. Using the particle in a box approximation, treat the carbon chain as a linear one-dimensional "box". Allow each energy level in the box to hold...
(30) Given the equilibrium bond length of CO is 1.138, explore population fractions (Eq. 2) of the ground state and first 15 pure rotational excited states relative to the ground state (where {=0). Mathematica is recommended. Do this at 298 K and at 100 K. Comment on how the results differ compared to part a). 1) In the application of quantum mechanical and statistical mechanical principles to samples containing large numbers of species (e.g. macroscopic samples of molecules), there is...
CHEM20020 Structure and Properties Question 8. [time = 10 minutes) Benzene (C6H) has a cyclic structure with Dh symmetry. Using a particle-on-a-ring model calculate the energy and wavelength for the lowest electronic trans elength for the lowest electronic transition of the benzene molecule. Clearly explain (using a diagram) which energy levers are sing a diagram) which energy levels are involved in the transition. Make the following assumptions: 1. The r electrons can be approximated as moving on a 2-D ring....
IR absorption soectrum of gasphase hcl question
The infrared absorption spectrum of gas-phase HCl can be analyzed to gain information about both rotation and vibration of the molecule. The absorption lines shown involve transitions from the ground (v = 0) to first excited vibrational state (v = 1) of HCl, but also involve changes in the rational state with a change Delta j = +1 (right branch) and Delta j = -1 (left branch). The splitting of the lines shows...
17. The distance between an electron and a hole across a band gap following electronic excitation is called A. Bohr exciton radius B. Bohr radius C. quantum D. conduction band 18. When a photon strikes an atom, the energy is absorbed by A. a proton which moves to an excited state. B. a neutron which causes the nucleus to split. C. an electron which moves from the ground to an excited state. D. nothing. A photon is never absorbed by...
3. [5] Retinal consists of a chain of carbon atoms roughly 1.5 nm long. Electrons in this long chain molecule behave very much like particles in a box The retinal molecule is a linear molecule that has 12 electrons that are free to move about the chain According to the Pauli exclusion principle, when this molecule is in its ground state, these 12 electrons fill the first 6 states of the box. Thus, the lowest energy photon that can be...
In the ro-vibrational model for spectra of diatomic molecules, the total rotational and vibrational energy for a given state is: Évj = ū(v + 3) + BJC +1) (Equation 1) where v is the vibrational quantum number and J is the rotational quantum number. Complete the following steps to create a model energy level diagram for a hypothetical diatomic molecule with ✓ = 2000 cm-1 and B = 1 cm-1. i) Draw a horizontal line to represent the ground vibrational...
please I need help with this
Х Lab 11.pdf Lab 11.pdf INTRODUCTION The chemical and physical properties of substances are influenced by the way in which valence electrons are distributed and by the three-dimensional shape of the molecule or ion. X- ray and neutron diffraction, infrared, Raman and microwave absorption spectroscopy, as well as dipole moment measurements, are used to ascertain the three-dimensional structure of a substance. Thus, techniques are available which can identify the geometry of substances Results of...
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