Question

A hydrogen atom stays in the 3rd excited state (n = 4). Consider of the quantum behavior of the electron, but ignore the quantum behavior of the nucleus. (a) What are the possible values for the quantum number l and what are the corresponding orbitals? Write down the magnitude of each orbital angular momentum (in units of ħ). (b) For each value of l, what are possible values for the quantum number ml and the magnitude of the z component of each orbital angular momentum? (c) What are possible values for the quantum number s and the magnitude of the spin angular momentum? (d) What are possible values for the quantum number ms and the magnitude of the z component of the spin angular momentum. (e) What does it mean for an energy level to be degenerate? And what is the degeneracy of this excited state?

Answer #1

For the 3d state (orbital) of the hydrogen atom, the principal
quantum number n=3. The orbital quantum number l = 2. For an
electron with these quantum numbers, what is the smallest angle (in
degrees) that an electron's spin axis (angular momentum axis) can
make with respect to an applied magnetic field?

A hydrogen atom is in the 6g state.
Determine the principal quantum number.
Determine the energy of the state.
Determine the quantum number ℓ.
Determine the orbital angular momentum.
Determine the possible values for the magnetic quantum
number.

An electron in a hydrogen atom is in a state with n = 5. Find
the orbital angular momentum and z component of the
orbital angular momentum for each possible value of ℓ and
m for the electron. (Use the following as necessary: ℏ.
Enter your answers as comma-separated lists. Give exact answers. Do
not round.)
L = ______
Lz = _______

An electron in a hydrogen atom is in a state with n = 3.Find the
orbital angular momentum and z component of the orbital
angular momentum for each possible value of ℓ and m for
the electron. (Use the following as necessary: ℏ. Enter your
answers as comma-separated lists. Give exact answers. Do not
round.)
L =
Lz =

A) What is the energy in joules of an electron in the L-shell of
H-atom?
B) If this electron absorbs a photon with a wavelength of
1.876µm, what is the new energy of the electron and to which shell
will it move?
C) What is the energy of an electron in the M-Shell of a
hydrogen-like quadruple-ionized boron, B++++?
D) In accordance with the quantum mechanical model, list and
tabulate all possible states that the M-shell atom can have and...

Quantum Mechanics II (Griffiths)
The hydrogen atom is in state n = 3. What is the energy of the
state in eV? What is the degeneracy? List all possible quantum
numbers l and m.

A hydrogen atom is in its third excited state. The atom emits a
1.88E+3nm wavelength photon. Determine the maximum possible orbital
angular momentum of the electron after emission. Express your
answer as multiples of hbar.

A hydrogen atom (Z=1) is in the third excited state. It makes a
transition to a different state, and a photon is either emitted or
absorbed. Answer the following conceptual questions:
What is the quantum number of the third excited state?
When an atom emits a photon, is the final quantum number of the
atom greater than or less than the initial quantum number?
When an atom absorbs a photon, is the final quantum number of
the atom greater than...

What is the electron configurationof the ground-state carbon
atom in spectroscopic notation?Suppose a valence electronwasexcited
to a 4d state. What is the new electron configuration? What is the
magnitude of the angular momentumLfor this electron? What are the
possible values of the z-component of angular momentumLz? What are
the possible values of the spin quantum numberms?

(I) What is the full ground state electron configuration for a
neutral atom with ? = 22 protons?
(II) A hydrogen atom with a principal quantum number of ? =
4.
a. write all the possible values for the other quantum
numbers.
b. calculate the total number of possible quantum states that
can exist for this principal quantum state.
(III) An excited hydrogen atom is in the 6?1 state.
a. What is the principal quantum
number of the electron?
b....

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