Sketch the wavefunctiions for the ground state of the 2D rigid rotor. Label each sketch with...
Sketch the wavefunctiions for the ground state of the 2D rigid rotor. Label each sketch with the appropriate quantum number and label the nodes.
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Sketch the wavefunctiions for the ground state of the 2D rigid
rotor. Label each sketch with...
At a given time t, a diatomic rigid rotor is found in a mixed quantum state...
At a given time t, a diatomic rigid rotor is found in a mixed quantum state describe by the function: where Ym are the normalized spherical harmonics, and N is the normalization constant. a) Normalize the function. (b) Compute the probability that a single measurement of the L-component in this quantum state can produce the result (La)classical . (c) Compute the mean rotational energy for one mole of 1C)'S molecules found in this rotational state. [The equilibrium bond length of...
Molecular Rotations a. The wavefunction of rotations of diatomic molecules according to the rigid rotor approximation...
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...
(30 points) The following questions deal with the rigid rotor model. a) List the assumptions in...
(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...
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...
Form Quantum Numbers to Atomic Orbitals for each set of quantum numbers sketch qualitative pictures of...
Form Quantum Numbers to Atomic Orbitals for each set of quantum numbers sketch qualitative pictures of all possible atomic Orbitals (do not draw radial nodes). Label each sketch with the orbital name (eg. 2p_x) and include a cartesian coordinate system to indicate orientation. (eg.) n = 1, l = 0 n = 2 n = 3, l = 2
Write the term symbol for the the ground state of NO and sketch out a molecular...
Write the term symbol for the the ground state of NO and sketch out a molecular orbital energy diagram for NO and place the electrons in the levels appropriate for the ground state. You will need to look up the AO ionization energies for O2s, O2p, N2s, and N2p. The MO energies follow the sequence (from lowest to highest) 1σg, 1σu, 2σg, 2σu, 3σg, 1πu, 1πg, 3σu,. Define the 1σ orbitals as originating primarily from the 1s AOs on N...
Dimension Sketch, in the potentials shown, the ground state and first excited states:
Dimension Sketch, in the potentials shown, the ground state and first excited states:
Dimension Sketch, in the potentials shown, the ground state and first excited states:
Example BeCl2 BF; SO 21. Predict the ground state electron configuration of an atom and state...
Example BeCl2 BF; SO 21. Predict the ground state electron configuration of an atom and state diamagnetic or paramagnetic (a) S (b) S-2 (c) Fe2+ (d) Be (e) Na 22. Determine values of quantum numbers (a) 3px' n= ml = ml = = (a) 2s' n= (a) 3dxy'n= 23. Which element has the largest atomic radius? (Fe, Ni. Cu 24. Label the following images using the appropriate descrintions ropriate description: soluble non-electrolyte, insoluble solid, and
What is the quantum numbers of the 14th electron in the ground-state electron configuration of an...
What is the quantum numbers of the 14th electron in the ground-state electron configuration of an phosphorus (P) atom? Enter "one half" as 1/2 Principal quantum number angular momentum quantum number magnetic quantum number electron spin quantum number +1 0 -1 P
Select the set of quantum numbers that represent each electron in a ground‑state BeBe atom. Select...
Select the set of quantum numbers that represent each electron
in a ground‑state BeBe atom.
Select the set of quantum numbers that represents each electron in a ground-state Be atom. T + L On=2, {=0, me =0, mg= - In=2, f = 1, me = 0, ms = - On=1, f= 0, m, = 0, ms = In=1, f= 0, me = 0, ms = 2, k = 1, me = 1, m, = I n=2, {=0, me = 0,...
At a given time t, a diatomic rigid rotor is found in a mixed quantum state describe by the function: where Ym are the normalized spherical harmonics, and N is the normalization constant. a) Normalize the function. (b) Compute the probability that a single measurement of the L-component in this quantum state can produce the result (La)classical . (c) Compute the mean rotational energy for one mole of 1C)'S molecules found in this rotational state. [The equilibrium bond length of...
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...
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...
Form Quantum Numbers to Atomic Orbitals for each set of quantum numbers sketch qualitative pictures of all possible atomic Orbitals (do not draw radial nodes). Label each sketch with the orbital name (eg. 2p_x) and include a cartesian coordinate system to indicate orientation. (eg.) n = 1, l = 0 n = 2 n = 3, l = 2
Dimension Sketch, in the potentials shown, the ground state and first excited states:
Dimension Sketch, in the potentials shown, the ground state and first excited states:
Example BeCl2 BF; SO 21. Predict the ground state electron configuration of an atom and state diamagnetic or paramagnetic (a) S (b) S-2 (c) Fe2+ (d) Be (e) Na 22. Determine values of quantum numbers (a) 3px' n= ml = ml = = (a) 2s' n= (a) 3dxy'n= 23. Which element has the largest atomic radius? (Fe, Ni. Cu 24. Label the following images using the appropriate descrintions ropriate description: soluble non-electrolyte, insoluble solid, and
What is the quantum numbers of the 14th electron in the ground-state electron configuration of an phosphorus (P) atom? Enter "one half" as 1/2 Principal quantum number angular momentum quantum number magnetic quantum number electron spin quantum number +1 0 -1 P
Select the set of quantum numbers that represent each electron
in a ground‑state BeBe atom.
Select the set of quantum numbers that represents each electron in a ground-state Be atom. T + L On=2, {=0, me =0, mg= - In=2, f = 1, me = 0, ms = - On=1, f= 0, m, = 0, ms = In=1, f= 0, me = 0, ms = 2, k = 1, me = 1, m, = I n=2, {=0, me = 0,...
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