Atomic Structure: Explaining n=6 Shell & Largest Angular Momentum Quantum Number

[Physicsiscool]

I need a plain & simple explanation of atomic structure. For example, if I was to consider the n = 6 shell, what would be the largest angular momentum quantum number and how many electrons can be put in this shell?

Thanks for your insight!

 

[dextercioby]

I need a plain & simple explanation of atomic structure. For example, if I was to consider the n = 6 shell, what would be the largest angular momentum quantum number and how many electrons can be put in this shell?

Thanks for your insight!

If n=6,l can have 6 values:0,1,2,3,4,5.Each of the "m"-s goes from -l->+l.And afer considering all possibilities for "m",multiply by 2 for each independent spin state. ("up"/"down").
n=6,l=0,m can only be 0 So u can have 2 electronsne with spin up and one with spin down.
n=6,l=1,m can have 3 values:m=1,0-1.So u have 6 electrons in all.
n=6,l=2,m can have 5 values:m=2,...,-2.So u have 10 electrons in all.
n=6,l=3,m can have 7 values:m=3,...,-3.So u have 14 electrons in all.
n=6,l=4,m can have 9 values:m=4,...,-4.So u have 18 electrons in all.
n=6,l=5,m can have 11 values:m=5,...,-5.So u have 22 electrons in all.

The number of all electrons is:2+6+10+14+18+22=72.

 

[R0man]

Atomic structure refers to the arrangement of subatomic particles within an atom. Atoms are made up of a nucleus, which contains protons and neutrons, and electrons that orbit the nucleus in different energy levels or shells. The n=6 shell refers to the sixth energy level or shell in an atom, with n representing the principal quantum number.

The largest angular momentum quantum number in the n=6 shell is l=5. This quantum number determines the shape of the electron orbitals within the shell. The l value can range from 0 to n-1, so for the n=6 shell, the largest possible l value is 5.

The number of electrons that can be placed in the n=6 shell depends on the type of atom. Each energy level can hold a maximum number of electrons, with the formula 2n^2, where n is the principal quantum number. Therefore, the n=6 shell can hold a maximum of 2(6)^2 = 72 electrons.

I hope this helps to explain the atomic structure and the n=6 shell. Let me know if you have any further questions.