Question

What are all the possible values of the total spin quantum number, S, that arise from a system with 4 electrons? (Note: You must be able to account for a total 16 possible spin states).

Answer #1

total spin quantum number, S : sum of individual spin quantum No.,s.

Because angular momentum is a vector, the Spin Quantum Number
(s) has both a magnitude (**1/2**) and direction (+ or
-). Each orbital can only hold **two** electrons. One
electron will have a +**1/2** spin and the other will
have a -**1/2** spin.

thus , spin quantum No. have 2 values : **-1/2 and
+1/2**.

A system with 4 electrons : total : 4*4 combination = 16 combination

**S = +2 ; 4*( +1 ) ; 6* ( 0 ) ; 4*(-1) ; -2**

Quantum numbers arise naturally from the mathematics used to
describe the possible states of an electron in an atom. The four
quantum numbers, the principal quantum number (n), the angular
momentum quantum number (ℓ), the magnetic quantum number (mℓ), and
the spin quantum number (ms) have strict rules which govern the
possible values. Identify allowable combinations of quantum numbers
for an electron. Select all that apply.
n = 4, ℓ= 0, mℓ= 1, ms= 1/2
n = 3, ℓ= –2,...

Quantum numbers arise naturally from the mathematics used to
describe the possible states of an electron in an atom. The four
quantum numbers, the principal quantum number (n), the angular
momentum quantum number (ℓ), the magnetic quantum number (mℓ), and
the spin quantum number (ms) have strict rules which govern the
possible values. Identify allowable combinations of quantum numbers
for an electron. Select all that apply.
a) n=4, l=2, ml=3, ms=+1/2
b) n=6, l=6, ml= 1, ms=-1/2
c) n=3, l=1,...

a)
Determine the possible quantum number states for n = 5.
b) What is the total degeneration?,
and c) calculate the energy at E5 level?
d) How much would be the degeneration if we consider the
quantum number of the spin? (you can organize them in a
table)

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,...

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, and then write down the
number of allowed values of ml for each orbital quantum
number. Sum these quantities, and then multiply by 2 to account for
the...

1) A quantum harmonic oscillator with frequency
ωcontains 41 electrons. What is the energy of the
highest-energy electron? Assume that the electrons are in the
lowest states possible.
2 a) An atom has a total of 18 electrons. What is the principal quantum number of the
outermost shell?
2 b) How many electrons
does the outermost shell shell contain?
3) Which of the following represents the possible range of
integer values for the magnetic quantum number?
a) 1 to l...

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, and then write down the
number of allowed values of ml for each orbital quantum
number. Sum these quantities, and then multiply by 2 to account...

10) Write the electronic configuration of the V2+
ion. (ii) What are the possible values of the total spin quantum
numbers S and MS for this ion?

A system consists of two particles, each of which has a spin of
3/2. a) Assuming the particles to be distinguishable, what are the
macrostates of the z component of the total spin, and what is the
multiplicity of each? b) What are the possible values of the total
spin S and what is the multiplicity of each value? Verify that the
total multiplicity matches that of part (a). c) Now suppose the
particles behave like indistinguishable quantum particles. What...

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...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 5 minutes ago

asked 12 minutes ago

asked 34 minutes ago

asked 36 minutes ago

asked 37 minutes ago

asked 40 minutes ago

asked 48 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago