Question

Identify which sets of quantum numbers are valid for an electron. Each set is ordered (n, l, ml, ms).

Part B:

Thanks in advance! Any helpful explanation on how to do this problem would also be appreciated.

1 0
Add a comment Improve this question Transcribed image text
✔ Recommended Answer
Answer #1
Concepts and reason

Four quantum numbers: (n, l,ml,ms)

Four quantum numbers are used to describe the most probable position of the electron of an atom in space.

The Pauli Exclusion Principle:

No two electrons can have the same set of four quantum numbers.

Hund’s Rule:

Electrons fill each orbital first in a subshell with one electron before entering half-filled orbitals.

Aufbau Principle:

Electrons will occupy the lowest energy level orbital first. This is used to determine the electronic configuration of an atom or ion.

Fundamentals

Four quantum numbers and their symbols:

Quantum Number

Symbol

Possible values

Principal quantum number

n

n=1, 2, 3, …

Angular momentum quantum number

l

l=0, 1, 2, … , (n-l)

Magnetic quantum number

ml

-l, … , -1, 0, +1, … , +l

Spin quantum number

ms

+1/2 or -1/2

Aufbau Principle: The order in which orbitals are filled.

Is < 2s < 2p<3s <3p < 4s <3d <4p < 5s < 4d <5p
<6s <45 < 5d <6p<7s<5f <6d <7p

(A)

3,0,0,1/2
0,2,1,-1/2
3,2,2,1/2
2,1,0,1/2
- valid
-invalid becausel<n
- valid
- valid

4,3,5,-1/2
3,1,-1,1/2
2,2,-1,1/2
4,3,1,-1/2
- invalid because 1 m,
- valid
- invalid because l<n
- valid

2,2,1,-1/2 -invalid because l<n
1,-1,-1,-1/2-invalid because I should be positive
3,3,1,1/2 -invalid becausel<n
3.-2,-1,0 inv

(B)

Symbolic representation of beryllium element with atomic number and mass number:

Beryllium =

It has totally four electrons.

Ground state electronic configuration of beryllium = 1s 2s

Set of four quantum numbers: (n,1,m,m)
For ls electrons :
1s electron 1 (up spin ) -1,0,0,1/2
1s electron 2 (down spin )-1,0,

For 2s electrons :
2s electron 3 (up spin ) -2,0,0,1/2
2s electron 4 (down spin ) 2,0,0,-1/2

Ans: Part A

The sets of quantum numbers are valid for an electron. Each set is ordered (n,l,ml,ms).

3.0.0.12
0.2.1.-12
3.2.2.12
2.1.0.12
| 4.3,5,-1/2
3.1.-1,1/2
2.2.1.12
4.3.1.1/2
2.2.1.-12
1.-1,-1,-1/2
3.3.1.1/2
3,-2,-1,0

Part B

The sets of quantum numbers that describe all the electrons in the ground state of a neutral beryllium atom are arranged in their respective bins.

Electrons in Be
1,0,0,1/2
1,0,0,-1/2
2,0,0,1/2
2,0,0,-1/2
Electrons not in Be
2,1,-1,-1/2
2,1,0,1/2
2,1,0,-1/2
2,1,-1,1/2

Add a comment
Know the answer?
Add Answer to:
Identify which sets of quantum numbers are valid for an electron. Each set is ordered (n,...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Similar Homework Help Questions
ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT