Rigid Rotor Problem; please help
Write out the general form of the wavefunction for the rigid rotor.
Give the general form of the energy for each level.
What are the wave functions? (Draw them out)


Rigid Rotor Problem; please help Write out the general form of the wavefunction for the rigid...
Molecular Rotations a. The wavefunction of rotations of diatomic molecules according to the rigid rotor approximation are spherical harmonics. Where have you seen spherical harmonics before? What are the quantum numbers that specify the wavefunctions for the rotational quantum states of a diatomic molecule? b. What are the gross and specific selection rules for pure rotational spectroscopy of a diatomic molecule? What region of the spectrum is used spectroscopy? What are the rotational energy levels for diatomic molecules and spherical...
A rigid rotor has two particles of mass m attached to the ends of a massless rigid rod of length a. The rotor is free to rotate in three dimensions about the center of mass. This is a model for the rotational motion of a homonuclear diatomic molecule, a molecule with two identical nuclei. (An example is 16O2.) (a) By expressing the Hamiltonian in terms of the orbital angular momentum, show that the allowed energies of this rigid rotor are...
(30 points) The following questions deal with the rigid rotor model. a) List the assumptions in the rigid rotor model. b) Draw the energy level diagram for the first four energy levels of a rigid rotor. Label the energies in units of B. Also include the degeneracies of each level. c) Are molecules always rotating? d) Circle all of the following molecules that will absorb photons in the microwave region. Explain your choices for partial credit. a. CO2 b. O2...
2. A rigid rotor is constrained to move about a fixed axis, with respect to which its moment of inertia is I. The time-independent Schrödinger equation for this system is: 21 do where W is the energy, ф is the angular displacement of the rotor from a fixed direction (0 ps 2 ) , and 111(pf dф gives the probability of finding the rotor at an angular position between ф and ф+49 State the general solution of this equation and...
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Ext-2.2 (35 points) An insulated, rigid tank is divided into two compartments by a frictionless, thermally conducting piston. One compartment initially contains 0.6 m' of saturated water vapor at 200 °C and the other compartment contains 0.8 m' of superheated water vapor at 210 bar, 780 °C. The piston is released and equilibrium is attained. The mass of piston is small enough to be neglected in this problem. (a) Draw a schematic diagram of the...
2. This problem will help you understand how two atoms can form a molecule through the process of chemical bonding. The physics behind the chemical bonding is very much the same as that discussed in energy splitting process to form energy bands in a macroscopic matter state where we have a lot of atoms involved but all atoms are nicely arranged to form a kind of periodic structure. In this problem, let's make things even simpler: we only consider two...
Physical chemistry question!!!! Please help!!!!!
Write out the complete wave functions for a 2p_0 orbital and a 2p_1 orbital. Show that the full wave function for a 2p_1 orbital is normalized. Find the most probable position and the average position of an electron in a 2p_0 orbital.
Please typed by computer not hand write.. What happens to the rotor of a synchronous motor when load torque is applied to the motor? What is the pull-out torque of a synchronous motor? At which angle and relative position (leading or lagging) does the rotor of a synchronous motor pull out of synchronization with respect to the rotating magnetic field? What is the relationship between the pull-out torque of a synchronous motor and the motor field current?
please also include the explanations and write in
paper. thank you
Problem 1.11 The general form for the energy of a simple harmonic oscillator is E = mass (velocity)? + stiffness (displacement)? Set up the energy equations for the oscillators in Figure 1.1(a), (b). (c), (d), (e), (f) and (g), and use the expression DE = 0 dr to derive the equation of motion in each case. Simple Harmonic Motion 2 (b) (a) mi+mg0 m+mg = = 1 18.00 2...
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Name Problem 1 (25 points) A rigid beam is supported by three posts A. B and C, and subjected to load P (P-130 KN). Post A and C have a diameter 60 m Post B has a diameter 30 and are made of aluminum (Young's modulus Eal-70 GPa). mm and is made of brass (Young's modulus E-100 GPa). (1) Draw free body diagram for the rigid beam and write down the equilibrium equation (1o points) (2) Is...