The 1H35Cl molecule can be described by a Morse potential with the De=7.47 x 10-19J. Calculate...
The 1H35Cl molecule can be described by a Morse potential with the De=7.47 x 10-19J. Calculate the maximum number of allowed vibrational states in this potential and the bond energy for the 1H35Cl molecule.
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The 1H35Cl molecule can be described by a Morse potential with
the De=7.47 x 10-19J. Calculate...
Draw a typical Morse potential energy surface for a diatomic molecule. Label the following i) The...
Draw a typical Morse potential energy surface for a diatomic molecule. Label the following i) The vertical and horizontal axes ii The equilibrium bond length. iii) The v=0, 1, 2 vibrational iv) The dissociation energy (Do) from the v-0 vibrational level 1 levels.
4&5 only thnkyouu :) 3. The force constant for 119F molecule is 966 N/m. a) Calculate...
4&5 only
thnkyouu :)
3. The force constant for 119F molecule is 966 N/m. a) Calculate the zero-point vibrational energy using a harmonic oscillator potential. b) Calculate the frequency of light needed to excite this molecule from the ground state to the first excited state. 4. Is 41(x) = *xe 2 an eigenfunction for the kinetic energy operator? Is it an eigenfunction for potential energy operator? 5. HCI molecule can be described by the Morse potential with De = 7.41...
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...
I know how to do A but not sure how to do B, C and D....
I know how to do A but not sure how to do B, C and D.
Thank you so much!
5. Vibration of diatomic molecule (20 points total) The adjacent figure shows the experimentally detemined 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/hc = e(n +1/2) - exe(n...
1. Anharmonic oscillator. Hydrogen bromide, 'HiBr, vibrates approximately according to a Morse potential VM(r) = Dell-e-w2De)1/2 (r-rej2 with De= 4.8 10 eV, re= 1.4 1 44Ă, and k= 408.4 N m-1. Wit...
1. Anharmonic oscillator. Hydrogen bromide, 'HiBr, vibrates approximately according to a Morse potential VM(r) = Dell-e-w2De)1/2 (r-rej2 with De= 4.8 10 eV, re= 1.4 1 44Ă, and k= 408.4 N m-1. With ω,-VRA, the energies of the stationary states in a Morse potential are En (hwo) 4D ho(n+ 1/2)- (n + 1/2)2. (A) On the same graph, plot the Morse potential and the harmonic potential as a function of bond length (from 0.7 Te to 2 re).(B) Describe the differences....
Don’t have to give exact answer, I just need to know one n equals in terms...
Don’t have to give exact answer, I just need to know one n
equals in terms of variables
d. The solution of the Schrödinger equation for the Morse potential yields the following expression for the vibrational energy levels (in units of cm 1) of a diatomic molecule: where n is the vibrational quantum number, V is the fundamental vibrational frequency (in cm1) that you calculated in part a), and is the anharmonicity constant given by: En n1/2) 1/2)2 = hc9/4D....
The force constant for the 1H35Cl molecule is 516 N/m. (a) Calculate the vibrational zero-point energy...
The force constant for the 1H35Cl molecule is 516 N/m. (a) Calculate the vibrational zero-point energy of this molecule. (b) If this amount of energy could somehow be converted to translational energy, how fast would the molecule be moving? (a) E = _____________________________ J (b) v = ___________________________ m/s The moment of inertia, I, of this molecule is 2.644 x 10-47kg m2. What are the frequencies of light corresponding to the lowest energy (c) pure vibrational and (d) pure rotational...
Anharmonic oscillator. Hydrogen bromide, H8Br, vibrates approximately according to a Morse potential VM(r) = Dell-e-ck/2De)i/2(r-re) , with De= 4.810 eV, = 1.4144 A, and k= 408.4 N m-1. With a0-Vk/a,...
Anharmonic oscillator. Hydrogen bromide, H8Br, vibrates approximately according to a Morse potential VM(r) = Dell-e-ck/2De)i/2(r-re) , with De= 4.810 eV, = 1.4144 A, and k= 408.4 N m-1. With a0-Vk/a, the energies of the stationary states in a Morse potential are En (n + 1/2)2. (A) On the same graph, plot the Morse potential and the harmonic potential as a function of bond length (from 0.7 to 2 %). Use the software of your choice to generate this plot. (B)...
5. (10 points) A simple function that looks like the potential well of a diatomic molecule...
5. (10 points) A simple function that looks like the potential well of a diatomic molecule is the Morse potential given by: U(x) = D. (1-e-Bx) (1) where, x is the displacement of the bond from its equilibrium position, and D. is the value of U(x) at large separations. D. is called the classical dissociation energy and is characterized by the depth of the potential well. We can expand U(x) in a Taylor series about x = 0 to obtain...
2.2) The Morse interatomic potential for a diatomic molecule is given by VM(r) D[1-e-a-1 r-ro where...
2.2) The Morse interatomic potential for a diatomic molecule is given by VM(r) D[1-e-a-1 r-ro where r is the interatomic distance. a) Sketch the potential, and indicate its attractive and repulsive region. [4 marks] b) Show that the equilibrium bond length is given by r ro. [4 marks] c) Determine the dissociation energy of the diatomic molecule. [4 marks]
Draw a typical Morse potential energy surface for a diatomic molecule. Label the following i) The vertical and horizontal axes ii The equilibrium bond length. iii) The v=0, 1, 2 vibrational iv) The dissociation energy (Do) from the v-0 vibrational level 1 levels.
4&5 only
thnkyouu :)
3. The force constant for 119F molecule is 966 N/m. a) Calculate the zero-point vibrational energy using a harmonic oscillator potential. b) Calculate the frequency of light needed to excite this molecule from the ground state to the first excited state. 4. Is 41(x) = *xe 2 an eigenfunction for the kinetic energy operator? Is it an eigenfunction for potential energy operator? 5. HCI molecule can be described by the Morse potential with De = 7.41...
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...
I know how to do A but not sure how to do B, C and D.
Thank you so much!
5. Vibration of diatomic molecule (20 points total) The adjacent figure shows the experimentally detemined 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/hc = e(n +1/2) - exe(n...
1. Anharmonic oscillator. Hydrogen bromide, 'HiBr, vibrates approximately according to a Morse potential VM(r) = Dell-e-w2De)1/2 (r-rej2 with De= 4.8 10 eV, re= 1.4 1 44Ă, and k= 408.4 N m-1. With ω,-VRA, the energies of the stationary states in a Morse potential are En (hwo) 4D ho(n+ 1/2)- (n + 1/2)2. (A) On the same graph, plot the Morse potential and the harmonic potential as a function of bond length (from 0.7 Te to 2 re).(B) Describe the differences....
Don’t have to give exact answer, I just need to know one n
equals in terms of variables
d. The solution of the Schrödinger equation for the Morse potential yields the following expression for the vibrational energy levels (in units of cm 1) of a diatomic molecule: where n is the vibrational quantum number, V is the fundamental vibrational frequency (in cm1) that you calculated in part a), and is the anharmonicity constant given by: En n1/2) 1/2)2 = hc9/4D....
Anharmonic oscillator. Hydrogen bromide, H8Br, vibrates approximately according to a Morse potential VM(r) = Dell-e-ck/2De)i/2(r-re) , with De= 4.810 eV, = 1.4144 A, and k= 408.4 N m-1. With a0-Vk/a, the energies of the stationary states in a Morse potential are En (n + 1/2)2. (A) On the same graph, plot the Morse potential and the harmonic potential as a function of bond length (from 0.7 to 2 %). Use the software of your choice to generate this plot. (B)...
5. (10 points) A simple function that looks like the potential well of a diatomic molecule is the Morse potential given by: U(x) = D. (1-e-Bx) (1) where, x is the displacement of the bond from its equilibrium position, and D. is the value of U(x) at large separations. D. is called the classical dissociation energy and is characterized by the depth of the potential well. We can expand U(x) in a Taylor series about x = 0 to obtain...
2.2) The Morse interatomic potential for a diatomic molecule is given by VM(r) D[1-e-a-1 r-ro where r is the interatomic distance. a) Sketch the potential, and indicate its attractive and repulsive region. [4 marks] b) Show that the equilibrium bond length is given by r ro. [4 marks] c) Determine the dissociation energy of the diatomic molecule. [4 marks]
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