Homework Answers
please rateAdd Answer to:
Problem 4) Consider the rotational motion of a molecule described by the Hami tonian H -...
In this problem we consider rotational motion of a diatomic molecule such as carbon monoxide or...
In this problem we consider rotational motion of a diatomic molecule such as carbon monoxide or nitric oxide. We treat a system of two point masses, mi and m2, rotating about their common center of mass. There are no external forces or torques on the system. We are in the center-of-mass frame, so the CM is at the origin. We treat the case of steady rotation, with w pointing in the z direction, and the particles moving in the ry...
. The rotational motion of molecules has an effect on the equilibrium separation of the nuclei,...
. The rotational motion of molecules has an effect on the equilibrium separation of the nuclei, a phenome- non known as bond stretching. To model this effect, con- sider a diatomic molecule with reduced mass u, oscilla- tor frequency wo, and internuclear separation Ro when the angular momentum is zero. The effective potential energy for nonzero values of l is then (see Section 8.5) ħ2 ont OBRO Veff = { uwz(- Ro)2 + ece + 1) sileib in I DEOQC1103...
A certain molecule has a characteristic rotational energy of 8.26x10-4 eV. What is the energy of...
A certain molecule has a characteristic rotational energy of 8.26x10-4 eV. What is the energy of the decay photon towards the state with angular momentum quantum number l = 9? Note: The selection rules of delta l = +/- 1 tell you to what state it can decay. Please show work.
1. (25 points) The Hamiltonian operator H, for a particular molecule has a complete set of...
1. (25 points) The Hamiltonian operator H, for a particular molecule has a complete set of orthonormal eigenfunctions on (where n = 1,2,3,...) with corresponding eigenvalues (n-1)h. The molecule in state n is subject to measurement of the dipole moment, for which the mathematical operator is represented by M. After the measurement of the dipole moment, the wave function of the particle is: Y = 0.5 0.1 +0.7071 Q. + 0.5 Pn+1 a) Show that is normalized. Now consider a...
The particle-on-a-ring is a useful model for the motion of electrons around a conjugated macrocycle such...
The particle-on-a-ring is a useful model for the motion of electrons around a conjugated macrocycle such as octatetrene, for example. Treat the molecule as a circular ring of radius 0.480 nm, with 10 electrons in the conjugated system moving along the perimeter of the ring. Assume based on the Pauli Exclusion Principle that in the ground state of the molecule each state is occupied by two electrons with opposite spins. (a) Calculate the energy of an electron in the highest...
1. (50 points) Consider the particle in a one-dimensional box (0 s x S L). Assume a term is added to the Hamiltonian of the form: πχ V(x)g sin Sketch the potential and the expected eigenfunction (...
1. (50 points) Consider the particle in a one-dimensional box (0 s x S L). Assume a term is added to the Hamiltonian of the form: πχ V(x)g sin Sketch the potential and the expected eigenfunction (small g). In the limit of small g, find the second order correction to the ground state energy 2. (50 points) For a diatomic molecule rotating in free space, the Hamiltonian may be written: 12 21 Where L is the total angular momentum operator,...
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...
a.) What does a partition function represent in statistical thermodynamics? A. The number of rotational symmetry...
a.) What does a partition function represent in statistical thermodynamics? A. The number of rotational symmetry elements of a molecule with more than 2 atoms. B. The number of thermally accessible energy levels at a given temperature. C. The number of molecules that partition themselves between the liquid and the gas phase of a substance b.) The constant volume heat capacity for a monoatomic gas is equal to: A. RT B. R C. 32 RT D. 3/2 R c.) The...
please help with problem 53 Rotational Motion Problem Solving "An expert is a person who has...
please help with problem
53
Rotational Motion Problem Solving "An expert is a person who has made all the mistakes that can be made in a very narrow field." -Niels Bohr 53. An inclined plane makes an angle of with the horizontal, as shown above. A solid sphere of radius R and mass M is initially at rest in the position shown, such that the lowest point of the sphere is a vertical height h above the base of the...
Problem 1 (5 pt.) In the last class, we will consider the gyroscopie motion of a...
Problem 1 (5 pt.) In the last class, we will consider the gyroscopie motion of a heavy symmetrical top whose lowest point is fixed. The effective potential energy of the top is given by + mgl cos ?, where M, is the constant angular momentum component along the vertical Z axis (fixed), Ms is the constant angular momentum component along the zs axis (the moving axis of symmetry of the top), i is the principal moment of inertia about the...
In this problem we consider rotational motion of a diatomic molecule such as carbon monoxide or nitric oxide. We treat a system of two point masses, mi and m2, rotating about their common center of mass. There are no external forces or torques on the system. We are in the center-of-mass frame, so the CM is at the origin. We treat the case of steady rotation, with w pointing in the z direction, and the particles moving in the ry...
. The rotational motion of molecules has an effect on the equilibrium separation of the nuclei, a phenome- non known as bond stretching. To model this effect, con- sider a diatomic molecule with reduced mass u, oscilla- tor frequency wo, and internuclear separation Ro when the angular momentum is zero. The effective potential energy for nonzero values of l is then (see Section 8.5) ħ2 ont OBRO Veff = { uwz(- Ro)2 + ece + 1) sileib in I DEOQC1103...
1. (25 points) The Hamiltonian operator H, for a particular molecule has a complete set of orthonormal eigenfunctions on (where n = 1,2,3,...) with corresponding eigenvalues (n-1)h. The molecule in state n is subject to measurement of the dipole moment, for which the mathematical operator is represented by M. After the measurement of the dipole moment, the wave function of the particle is: Y = 0.5 0.1 +0.7071 Q. + 0.5 Pn+1 a) Show that is normalized. Now consider a...
1. (50 points) Consider the particle in a one-dimensional box (0 s x S L). Assume a term is added to the Hamiltonian of the form: πχ V(x)g sin Sketch the potential and the expected eigenfunction (small g). In the limit of small g, find the second order correction to the ground state energy 2. (50 points) For a diatomic molecule rotating in free space, the Hamiltonian may be written: 12 21 Where L is the total angular momentum operator,...
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...
a.) What does a partition function represent in statistical thermodynamics? A. The number of rotational symmetry elements of a molecule with more than 2 atoms. B. The number of thermally accessible energy levels at a given temperature. C. The number of molecules that partition themselves between the liquid and the gas phase of a substance b.) The constant volume heat capacity for a monoatomic gas is equal to: A. RT B. R C. 32 RT D. 3/2 R c.) The...
please help with problem
53
Rotational Motion Problem Solving "An expert is a person who has made all the mistakes that can be made in a very narrow field." -Niels Bohr 53. An inclined plane makes an angle of with the horizontal, as shown above. A solid sphere of radius R and mass M is initially at rest in the position shown, such that the lowest point of the sphere is a vertical height h above the base of the...
Problem 1 (5 pt.) In the last class, we will consider the gyroscopie motion of a heavy symmetrical top whose lowest point is fixed. The effective potential energy of the top is given by + mgl cos ?, where M, is the constant angular momentum component along the vertical Z axis (fixed), Ms is the constant angular momentum component along the zs axis (the moving axis of symmetry of the top), i is the principal moment of inertia about the...
Most questions answered within 3 hours.
-
Write a program to solve the Josephus problem, with the following
modification:
Sample Input:
./a.out n...
asked 2 hours ago -
At the start of a CD it is spinning at a rate of 525 rpm
(revolutions...
asked 2 hours ago -
4. Without doing any calculations, predict whether the observed
∆T would increase, decrease or remain the...
asked 3 hours ago -
Based on the range, which of the following sets of scores has
the greatest variability? 3,...
asked 5 hours ago -
Ripples in a pond travel at a velocity of 3 m/s with one peak
passing a...
asked 4 hours ago -
A man stands on the roof of a building of height 13.0 mm and
throws a...
asked 4 hours ago -
The extent to which assets are financed by borrowed funds and
other liabilities is indicated by:...
asked 6 hours ago -
Explain in detail
Germany is the fifth largest economy
explain what goods and services Germany specializes...
asked 6 hours ago -
The density of platinum is 21.45 g/mL. If a cube of platinum
with a mass of...
asked 6 hours ago -
Accounts Receivable
Sales
A/R Posting
Extended Sales Invoice
Packing Slip
Compare invoice to packing slip 2...
asked 6 hours ago -
Michaella, age 23, is a full-time law student and is claimed by
her parents as a...
asked 6 hours ago -
Why are polymers not typically casted into products?
asked 6 hours ago