Question

What are all the possible values of the total spin quantum number, S, that arise from...

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).

Science   Chemistry   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

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

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Quantum numbers arise naturally from the mathematics used to describe the possible states of an electron...
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...
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...
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...
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...
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...
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...
10) Write the electronic configuration of the V2+ ion. (ii) What are the possible values of...
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?
Part C The quantum state of a particle can be specified by giving a complete set...
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...
A system consists of two particles, each of which has a spin of 3/2. a) Assuming...
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...
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
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT