Question

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.

Answer #1

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...

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 transitions from the n = 6 excited state to the
n = 3 excited state, emitting a photon.
a) What is the energy, in electron volts, of the electron in the
n = 6 state? How far from the nucleus is the electron?
b) What is the energy, in electron volts, of the photon emitted
by the hydrogen atom? What is the wavelength of this photon?
c) How many different possible photons could the n = 6...

A hydrogen atom at rest is initially in an excited state
corresponding to n = 5.
a- Give the quantum numbers (l) and (m) which correspond to n =
5
b- What is the ionization energy of the atom in this state?
c- What is the frequency of the photon emitted when it returns
to its ground state n = 1?
d- Estimate the momentum and the kinetic energy of the atom's
recoil during the photon emission.
mH= 1.007825? 1?...

A) Sketch a separate diagram for the energy levels of the
electron in the Hydrogen atom – The diagram should be to scale.
Annotate the diagram with the ground state energy E0, the principal
quantum number n, and the ionization energy of the atom (13.6
eV).
B) It is known that a certain hydrogen atom has n=5 and m=2. How
many different states are consistent with this information?
C) Answer the same question (in terms of n and m) for...

explain how the energy eigenvalues of hydrogen atom depend upon
the various quantum numbers. discuss what this means with respect
to any degeneracy present in the system . include a sketch of the
energy level diagram for for hydrogen atom.

When all quantum numbers are considered, how many different
quantum states are there for a hydrogen atom with n=1? With n=2?
With n=3? List the quantum numbers of each state.

(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....

Physical Chemistry: Ch 11 Quantum Mechanics: Model Systems and
the Hydrogen Atom
(a)A hydrogen atom bonded to a surface is acting as a harmonic
oscillator with a classical frequency of 6.000 × 1013 s
−1 . What is the energy difference in J between
quantizedenergy levels? (b) Calculate the wavelength of light that
must be absorbed in order for the hydrogen atom to go from one
level to another. (c) To what region of the electromagnetic
spectrum does such a...

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.

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