A H2 molecule can be approximated by a simple harmonic oscillator with spring constant 1000 N/m....
A H2 molecule can be approximated by a simple harmonic oscillator with spring constant 1000 N/m. Note: you must use the reduced mass µ H = 1 2mH for this kind of problem.
(a) Find the ground state energy in eV.
(b) Find all possible wavelengths of photons emitted as the molecule decays from the third excited state eventually to the ground state.
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A H2 molecule can be approximated by a simple harmonic
oscillator with spring constant 1000 N/m....
Quantum, 1D harmonic oscillator. Please answer in full. Thanks. Q3. The energy levels of the 1D harmonic oscillator are given by: En = (n +2)ha, n=0. 1, 2, 3, The CO molecule has a (reduced) mass of...
Quantum, 1D harmonic oscillator. Please answer in full.
Thanks.
Q3. The energy levels of the 1D harmonic oscillator are given by: En = (n +2)ha, n=0. 1, 2, 3, The CO molecule has a (reduced) mass of mco = 1.139 × 10-26 kg. Assuming a force constant of kco 1860 N/m, what is: a) The angular frequency, w, of the ground state CO bond vibration? b) The energy separation between the ground and first excited vibrational states? 7 marks] The...
= μ = 0.5 This problem deals with the vibrational motion of the H2 molecule (reduced mass- amu). The Hamiltonian for this system is: h2 d 1, e2ndxī + 2kx2. 5 pts] By direct substitution of the wa...
= μ = 0.5 This problem deals with the vibrational motion of the H2 molecule (reduced mass- amu). The Hamiltonian for this system is: h2 d 1, e2ndxī + 2kx2. 5 pts] By direct substitution of the wavefunction labelled by the quantum number v, Where k is a constant related to the bond strength. V.(x), in the Schrödinger Equation, show that the wavefunction Ψ(x) = Noe- )' where α = ( corresponds to the ground vibrational state of H2 having...
Solve the LAST ONE INCLUDE ALL THE STEPS The force constant for the carbon monoxide molecule is 1,908 N m At 1,000 K what is the probability that the molecule will be found in the lowest excited state...
Solve the LAST ONE INCLUDE ALL
THE STEPS
The force constant for the carbon monoxide molecule is 1,908 N m At 1,000 K what is the probability that the molecule will be found in the lowest excited state? 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...
A simple harmonic oscillator consists of a block attached to a spring with k -200 N/m....
A simple harmonic oscillator consists of a block attached to a spring with k -200 N/m. The block slides on a frictionless surface, with equilibrium point x 0 and amplitude 0.20 m. A graph of the block's velocity v as a function of time t is shown in figure below. The horizontal scale is set by's 0.20s. What are (a) the period of the SHM, (b) the block's mass, (c) its displacement att- 0, (d) its acceleration att-0.10 s, and...
1. Consider a harmonic oscillator sitting in the ground state with a given spring constant ko m w...
1. Consider a harmonic oscillator sitting in the ground state with a given spring constant ko m were is constant). We want to change the system to raise the constant to 4ko. [N.B. You will have to use the equation versions of the eigenstates for this question since the system is changing a) Use the ideal instantaneous sudden approximation to find the probability that the system stays in the ground state. Does this approximation include selection rules? b) Assuming that...
A particle with mass m is in a one-dimensional simple harmonic oscillator potential. At time t = 0 it is described by the state where lo and l) are normalised energy eigenfunctions corresponding to e...
A particle with mass m is in a one-dimensional simple harmonic oscillator potential. At time t = 0 it is described by the state where lo and l) are normalised energy eigenfunctions corresponding to energies E and Ey and b and c are real constants. (a) Find b and c so that (x) is as large as possible. b) Write down the wavefunction of this particle at a time t later c)Caleulate (x) for the particle at time t (d)...
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...
Question 2 A simple harmonic oscillator is made up of a mass-spring system, with mass of 2.39 kg and a spring constant k = 140 N/m. At time t=1.66 s, the position and velocity of the block are x = 0.1...
Question 2 A simple harmonic oscillator is made up of a mass-spring system, with mass of 2.39 kg and a spring constant k = 140 N/m. At time t=1.66 s, the position and velocity of the block are x = 0.113 m and v = 3.692 m/s. What is the velocity of the oscillation at t=0? Be sure to include the minus sign for negative velocity. Your answer should be in m/s, but enter only the numerical part in the...
Quantum, 1D harmonic oscillator. Please answer in full.
Thanks.
Q3. The energy levels of the 1D harmonic oscillator are given by: En = (n +2)ha, n=0. 1, 2, 3, The CO molecule has a (reduced) mass of mco = 1.139 × 10-26 kg. Assuming a force constant of kco 1860 N/m, what is: a) The angular frequency, w, of the ground state CO bond vibration? b) The energy separation between the ground and first excited vibrational states? 7 marks] The...
= μ = 0.5 This problem deals with the vibrational motion of the H2 molecule (reduced mass- amu). The Hamiltonian for this system is: h2 d 1, e2ndxī + 2kx2. 5 pts] By direct substitution of the wavefunction labelled by the quantum number v, Where k is a constant related to the bond strength. V.(x), in the Schrödinger Equation, show that the wavefunction Ψ(x) = Noe- )' where α = ( corresponds to the ground vibrational state of H2 having...
Solve the LAST ONE INCLUDE ALL
THE STEPS
The force constant for the carbon monoxide molecule is 1,908 N m At 1,000 K what is the probability that the molecule will be found in the lowest excited state? 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...
A simple harmonic oscillator consists of a block attached to a spring with k -200 N/m. The block slides on a frictionless surface, with equilibrium point x 0 and amplitude 0.20 m. A graph of the block's velocity v as a function of time t is shown in figure below. The horizontal scale is set by's 0.20s. What are (a) the period of the SHM, (b) the block's mass, (c) its displacement att- 0, (d) its acceleration att-0.10 s, and...
1. Consider a harmonic oscillator sitting in the ground state with a given spring constant ko m were is constant). We want to change the system to raise the constant to 4ko. [N.B. You will have to use the equation versions of the eigenstates for this question since the system is changing a) Use the ideal instantaneous sudden approximation to find the probability that the system stays in the ground state. Does this approximation include selection rules? b) Assuming that...
A particle with mass m is in a one-dimensional simple harmonic oscillator potential. At time t = 0 it is described by the state where lo and l) are normalised energy eigenfunctions corresponding to energies E and Ey and b and c are real constants. (a) Find b and c so that (x) is as large as possible. b) Write down the wavefunction of this particle at a time t later c)Caleulate (x) for the particle at time t (d)...
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...
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