## 16 Questions

What does the principal quantum number, n, indicate?

The size of the orbital

Which quantum number specifies the main energy levels or shells in an atom?

Principal Quantum Number (n)

What is the range of possible values for the azimuthal quantum number, â„“?

0, 1, 2, 3, ... , (n-1)

Which quantum number specifies the characteristic energy of orbitals and their electrons?

Principal Quantum Number (n)

What does the magnetic quantum number, mâ„“, determine?

The shape of the orbital

What is the meaning of the spin quantum number, ms?

It represents the spin of the electron

What is the maximum number of electrons that can be accommodated in a 4d subshell?

14

How many orbitals are associated with the principal quantum number n = 3?

9

What is the maximum number of electrons that can occupy an f subshell?

14

Which quantum number indicates the shape of orbital sublevels?

$â„“$

What is the value of $â„“$ for p orbitals?

$1$

Which quantum number splits the subshells into individual orbitals?

$m_{â„“}$

What are the possible values for $m_{â„“}$ when $â„“=3$?

-3, -2, -1, 0, 1, 2, 3

The spin quantum number, $m_{s}$, can have values of:

$+1/2$ and $-1/2$

What is the total number of orbitals for a shell with principal quantum number n=4?

$32$

Which term refers to the magnetic state of an atom with one or more unpaired electrons?

*Paramagnetism*

## Study Notes

### Quantum Numbers

- The principal quantum number, n, indicates the main energy levels or shells in an atom.
- The range of possible values for the azimuthal quantum number, â„“, is 0 to n-1.
- The azimuthal quantum number, â„“, specifies the characteristic energy of orbitals and their electrons.
- The magnetic quantum number, mâ„“, determines the orientation of orbitals in space.
- The spin quantum number, ms, determines the intrinsic spin of an electron, with possible values of +1/2 or -1/2.
- The maximum number of electrons that can be accommodated in a 4d subshell is 10.

### Orbital Characteristics

- A shell with principal quantum number n has a total of n^2 orbitals.
- The maximum number of electrons that can occupy an f subshell is 14.
- The azimuthal quantum number, â„“, indicates the shape of orbital sublevels.
- â„“ has a value of 1 for p orbitals and 3 for f orbitals.
- The magnetic quantum number, mâ„“, splits the subshells into individual orbitals.
- Possible values for mâ„“ when â„“=3 are -3, -2, -1, 0, 1, 2, and 3.

### Electron Configuration

- The total number of orbitals for a shell with principal quantum number n=4 is 16.
- A shell with principal quantum number n can accommodate a maximum of 2n^2 electrons.

### Magnetism

- The term that refers to the magnetic state of an atom with one or more unpaired electrons is paramagnetism.

Test your knowledge of the electronic structure of atoms with this quiz covering the essential learning competencies related to quantum numbers, magnetic properties, and orbital diagrams. Explore the theory of quantum mechanics and its application in describing electrons in atoms.

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