Homework Answers
The vibrational energy level diagrams for the two cases are shown in the image below.
(ii) The electronic transition from an electronic ground state to an excited state results in the increase in the internuclear distance between the two atoms in a molecule,i.e., bond length is increased as shown below:
(iii) The vibrational transition from one energy level to another occurs by following the selection rule of v=±1. The energy levels corresponding to each vibrational level is given by the expression:
By putting v=1,2,3,... so on we get to know all the various energy levels as shown below:
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(ii) Draw an energy level diagram for an electronic transition from an electronic ground state to...
(10 points) Draw a molecular energy diagram of the ground electronic state (S) and the first...
(10 points) Draw a molecular energy diagram of the ground electronic state (S) and the first excited state (Si) including some vibrational levels (V) in each electronic state. Show the following transitions on the diagram and briefly explain each transition (a) (b) @a resonant absorption fluorescence phosphorescence intersystem crossing non-radiative decay
A monatomic gas exhibits two electronic transitions from the ground state by absorption of visible light...
A monatomic gas exhibits two electronic transitions from the ground state by absorption of visible light as revealed by the UV-VIS absorption spectrum of this gas shown below. Illustrate these absorption processes on the energy level diagram template provided below. Make sure to include the wavelength of light corresponding to each transition on your illustration. 400nm 600nm n=3 n=2 Wavelength (A) Emission is observed to occur from the monatomic gas for the transition from the n-3> level. Calculate the energy...
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...
Problem 3 Part A The energy levels of atomic mattinium are given by the expression -10.2 eV En = ηλ/2 (a) Draw an energy level diagram showing the lowest four energy levels of atomic mattinium, as we...
Problem 3 Part A The energy levels of atomic mattinium are given by the expression -10.2 eV En = ηλ/2 (a) Draw an energy level diagram showing the lowest four energy levels of atomic mattinium, as well as the ionisation limit. Label each of the energy levels with their quantum number and their energy in electron volts. (b) One of the puzzles of classical physics was that the absorption and emission spectra of atomic gases were different from one another....
Energy (eV) 1. The figure to the right shows the first few energy levels for lithium. The ground state for the valence electron (the electron most likely to change 4 energy levels) is the 2s state wh...
Energy (eV) 1. The figure to the right shows the first few energy levels for lithium. The ground state for the valence electron (the electron most likely to change 4 energy levels) is the 2s state which is why that state is set to O eV. Make a table showing all possible transitions in the emission spectrum. For each possible transition indicate A. Energy change of possible transition. B. At for the transition. Is the transition allowed? C. Wavelength of...
Problem II The J 2 transition for AlH molecule in an electronic ground state (Xi *)...
Problem II The J 2 transition for AlH molecule in an electronic ground state (Xi *) has a frequency of 755199.790 MHz, whereas J 4 +_ 3 for AID (Xi *) is 786755.93 MHz. Compute the bond distance for both molecules. The data comes from doi: 10.1088/0004-637X/791/1/65 Problem III
energy Use this diagram to complete the table below. Which is the ground state? (pick one):...
energy Use this diagram to complete the table below. Which is the ground state? (pick one): How many excited states are there? How many lines are in the absorption line spectrum? Which transition causes the emission line at the shortest wavelength? 0-0 Which transition causes the emission line at the longest wavelength? Explanation Check
With the aid of anharmonic oscillator energy levels, show that the wavenumber of a transition from...
With the aid of anharmonic oscillator energy levels, show that the wavenumber of a transition from the ground state (v = 0) to the vth vibrational level is given by v~(0 → v) = vωe− v(v +1)ωe xe , where ωe is given in units of wavenumbers (cm-1) In the low resolution IR spectrum of 1H79Br a strong absorption is observed at 2558.5 cm−1 and a weaker (first overtone) absorption at 5026.5 cm−1. Use the Morse oscillator energy levels to...
SOLVE THE 3RD ONE INCLUDE ALL THE STEPS At a given temperature the rotational states of molecules are distributed according to the Boltzmann distribution. Of the hydrogen molecules in the ground state...
SOLVE THE 3RD ONE INCLUDE ALL
THE STEPS
At a given temperature the rotational states of molecules are distributed according to the Boltzmann distribution. Of the hydrogen molecules in the ground state estimate the ratio of the number in the ground rotational state to the number in the first excited rotational state at 300 K. Take the interatomic distance as 1.06 Å. Estimate the wavelength of radiation emitted from adjacent vibration energy levels of NO molecule. Assume the force constant...
The transition from the excited state 3Li:1s22p1 to the basic state in lithium 3Li:1s 2s1 gives...
The transition from the excited state 3Li:1s22p1 to the basic state in lithium 3Li:1s 2s1 gives two fine structure lines with wavelength 21,and 12, 12> 21 The energy difference between the fine structure levels in this excited state is A= 0,345 cm For all the fine structure levels involved in the basic state and in the excited state: D) Write the possible values of the quantum numbers L, S and J II) Calculate spin-orbit interaction. express your answer in hcA...
(10 points) Draw a molecular energy diagram of the ground electronic state (S) and the first excited state (Si) including some vibrational levels (V) in each electronic state. Show the following transitions on the diagram and briefly explain each transition (a) (b) @a resonant absorption fluorescence phosphorescence intersystem crossing non-radiative decay
A monatomic gas exhibits two electronic transitions from the ground state by absorption of visible light as revealed by the UV-VIS absorption spectrum of this gas shown below. Illustrate these absorption processes on the energy level diagram template provided below. Make sure to include the wavelength of light corresponding to each transition on your illustration. 400nm 600nm n=3 n=2 Wavelength (A) Emission is observed to occur from the monatomic gas for the transition from the n-3> level. Calculate the energy...
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...
Problem 3 Part A The energy levels of atomic mattinium are given by the expression -10.2 eV En = ηλ/2 (a) Draw an energy level diagram showing the lowest four energy levels of atomic mattinium, as well as the ionisation limit. Label each of the energy levels with their quantum number and their energy in electron volts. (b) One of the puzzles of classical physics was that the absorption and emission spectra of atomic gases were different from one another....
Energy (eV) 1. The figure to the right shows the first few energy levels for lithium. The ground state for the valence electron (the electron most likely to change 4 energy levels) is the 2s state which is why that state is set to O eV. Make a table showing all possible transitions in the emission spectrum. For each possible transition indicate A. Energy change of possible transition. B. At for the transition. Is the transition allowed? C. Wavelength of...
Problem II The J 2 transition for AlH molecule in an electronic ground state (Xi *) has a frequency of 755199.790 MHz, whereas J 4 +_ 3 for AID (Xi *) is 786755.93 MHz. Compute the bond distance for both molecules. The data comes from doi: 10.1088/0004-637X/791/1/65 Problem III
energy Use this diagram to complete the table below. Which is the ground state? (pick one): How many excited states are there? How many lines are in the absorption line spectrum? Which transition causes the emission line at the shortest wavelength? 0-0 Which transition causes the emission line at the longest wavelength? Explanation Check
SOLVE THE 3RD ONE INCLUDE ALL
THE STEPS
At a given temperature the rotational states of molecules are distributed according to the Boltzmann distribution. Of the hydrogen molecules in the ground state estimate the ratio of the number in the ground rotational state to the number in the first excited rotational state at 300 K. Take the interatomic distance as 1.06 Å. Estimate the wavelength of radiation emitted from adjacent vibration energy levels of NO molecule. Assume the force constant...
The transition from the excited state 3Li:1s22p1 to the basic state in lithium 3Li:1s 2s1 gives two fine structure lines with wavelength 21,and 12, 12> 21 The energy difference between the fine structure levels in this excited state is A= 0,345 cm For all the fine structure levels involved in the basic state and in the excited state: D) Write the possible values of the quantum numbers L, S and J II) Calculate spin-orbit interaction. express your answer in hcA...
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