Question

(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. What is the orbital quantum number of the electron?

c. What are the possible magnetic quantum numbers?

d. What are the possible spin quantum numbers?

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) What would be the full electron configuration of the calcium
atom if there were no Pauli exclusion principle?
(b) What would be the electron configuration of the calcium
atoms if there were no electron spin quantum number, but all other
principles of quantum mechanics remained valid?

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?

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...

An electron in an excited state
of a hydrogen atom emits two photons in succession, the first at
3037 nm and the second at 94.92 nm, to return to the ground state
(n=1). For a given transition, the wavelength of the emitted photon
corresponds to the difference in energy between the two energy
levels.
What were the principal quantum numbers of the initial and
intermediate excited states involved?

The electron in a hydrogen atom falls from an excited energy
level to the ground state in two steps, causing the emission of
photons with wavelengths of 656.5 nm and 121.6 nm (So the in the
first step the 656.5 nm photon is emitted and in the second step
the 121.6 nm photon is emitted). What is the principal quantum
number (ni) of the initial excited energy level from which the
electron falls?

All parts of this question refer to neutral atoms in their
ground states.
a) What are the principal and orbital quantum numbers (n and l)
of all the electrons in aluminum (Z=13) atoms? Please use the
standard notation for specifying electron configurations in
atoms.
b) Estimate (and explain briefly) the ionization energy for the
least tightly bound electron in a lithium (Z=3) atom.
c) Estimate (and explain briefly) the energy that it would take
to remove all the electrons from...

Question 3
Part B:How many values of ml are possible for an
electron with orbital quantum number l = 1?
Express your answer as an integer.
Part C
The quantum state of a particle can be specified by giving a
complete set of quantum numbers (n,l,
ml,ms). How many different
quantum states are possible if the principal quantum number is
n = 2?
To find the total number of allowed states, first write down the
allowed orbital quantum numbers l,...

Quantum structure of Helium (two-electron) atom. Write down
electronic configurations of the ground state and of all excited
states in the n = 2 manifold, and it's energy.

An electron in a hydrogen atom relaxes to the ground state while
emitting a 93.8 nm photon.
a. Is this light visible? In what region of the electromagnetic
spectrum does it lie?
b. What was the initial principal quantum number, ni, of the
electron undergoing the transition?

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