Below is shown a diagram for the l2 molecule r + I Ex(0) r (internuclear separation)
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For the l2 30. The dissociation energy of the excited state is represented by which symbol on the...
a) what effect does the change in internuclear separation in a diatomic molecule due to its vibration (the binding energ...
a) what effect does the change in internuclear separation in a diatomic molecule due to its vibration (the binding energy curve is asymmetric) have on the rotational energy levels of molecule? b)Explain why the separation between vibrational levels is somewhat smaller in an excited electronic state than in the ground electronic state. Explain the same effect for rotational states. c)show the ratio number of molecules in rotational level r to the number in the r=0 level, in a sample at...
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...
Solve 1st one asap 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 o...
Solve 1st one asap
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 k-1,550 N m In...
The eigenfunctions for a particle in a one-dimensional box of length L, and the corresponding energy...
The eigenfunctions for a particle in a one-dimensional box of length L, and the corresponding energy eigenvalues are given below. What is the variance of measurements for the linear momentum, i.e., Op = v<p? > - <p>2? Øn (x) = ( )" sin nga, n= 1, 2,.. En = n2h2 8m12 Note the Hamiltonian operator to give the energy is H = = - 42 8n72 dx2 nh 2L oo O nềh2 412 Uncertain since x is known. Following Question...
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...
(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...
4. Anharmonic potential (15 points) The adjacent figure shows the experimentally determined potential energy curve of the electronic ground state of"Br2, with a few of the vibrational levels. The...
4. Anharmonic potential (15 points) The adjacent figure shows the experimentally determined potential energy curve of the electronic ground state of"Br2, with a few of the vibrational levels. The vibrational transitions are reasonably well described by a harmonic oscillator model, but much more accurately by including a small anharmonic correction term: En/hcVe(n 1/2) - vexe(n + 1/2)2. From fits to experimental data, the values of the constants are 325.32 cm and exe 1.08 cm .5 10 15 (a) Calculate the...
PHY3708 101/3 Question5 Using the wrmi-empirical mass formula (SEMF), estimate the binding energy...
Please me with these 5 questions
PHY3708 101/3 Question5 Using the wrmi-empirical mass formula (SEMF), estimate the binding energy per ucleon for 10B AL MCo and 2 Question 1 A sealed box was found which stated to have contained an alloy composed of two metals A and B. These metals are radioactive, with half eual parts respectively and when the container was opened it was found to contain c B. Deduce the age of the alloy. lives of 12 years...
A particle of mass m is bound by the spherically-symmetric three-dimensional harmonic- oscillator potential energy ,...
A particle of mass m is bound by the spherically-symmetric three-dimensional harmonic- oscillator potential energy , and ф are the usual spherical coordinates. (a) In the form given above, why is it clear that the potential energy function V) is (b) For this problem, it will be more convenient to express this spherically-symmetric where r , spherically symmetric? A brief answer is sufficient. potential energy in Cartesian coordinates x, y, and z as physically the same potential energy as the...
1. The quantum states of a particle moving freely in a circle of radius r are...
1. The quantum states of a particle moving freely in a circle of radius r are described by (0) = Cewe where C is a constant, e denotes angle, n = 0, +1, +2,... is an integer identifying the quantum state of the particle, and wn is constant for a given n. a) Show that Un0 satisfies don d02 b) Find wn such that Un (@+ 2) = Un) c) Find the value of such that any two yn (0)...
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...
Solve 1st one asap
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 k-1,550 N m In...
The eigenfunctions for a particle in a one-dimensional box of length L, and the corresponding energy eigenvalues are given below. What is the variance of measurements for the linear momentum, i.e., Op = v<p? > - <p>2? Øn (x) = ( )" sin nga, n= 1, 2,.. En = n2h2 8m12 Note the Hamiltonian operator to give the energy is H = = - 42 8n72 dx2 nh 2L oo O nềh2 412 Uncertain since x is known. Following Question...
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...
(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...
4. Anharmonic potential (15 points) The adjacent figure shows the experimentally determined potential energy curve of the electronic ground state of"Br2, with a few of the vibrational levels. The vibrational transitions are reasonably well described by a harmonic oscillator model, but much more accurately by including a small anharmonic correction term: En/hcVe(n 1/2) - vexe(n + 1/2)2. From fits to experimental data, the values of the constants are 325.32 cm and exe 1.08 cm .5 10 15 (a) Calculate the...
Please me with these 5 questions
PHY3708 101/3 Question5 Using the wrmi-empirical mass formula (SEMF), estimate the binding energy per ucleon for 10B AL MCo and 2 Question 1 A sealed box was found which stated to have contained an alloy composed of two metals A and B. These metals are radioactive, with half eual parts respectively and when the container was opened it was found to contain c B. Deduce the age of the alloy. lives of 12 years...
A particle of mass m is bound by the spherically-symmetric three-dimensional harmonic- oscillator potential energy , and ф are the usual spherical coordinates. (a) In the form given above, why is it clear that the potential energy function V) is (b) For this problem, it will be more convenient to express this spherically-symmetric where r , spherically symmetric? A brief answer is sufficient. potential energy in Cartesian coordinates x, y, and z as physically the same potential energy as the...
1. The quantum states of a particle moving freely in a circle of radius r are described by (0) = Cewe where C is a constant, e denotes angle, n = 0, +1, +2,... is an integer identifying the quantum state of the particle, and wn is constant for a given n. a) Show that Un0 satisfies don d02 b) Find wn such that Un (@+ 2) = Un) c) Find the value of such that any two yn (0)...
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