Question

What are the $4$ quantum numbers for carbon?

Answer 1

Quantum numbers are a sequence of numbers that represent the position and energy of an electron in an atom. Principal, azimuthal, magnetic, and spin quantum numbers are the four categories of quantum numbers. Quantum numbers define the values of a quantum system's conserved quantities.

Complete answer:
Four quantum numbers are used to fully characterise an electron in an atom. The four quantum numbers are: energy ($n$), angular momentum ($l$), magnetic moment (${m_l}$), and spin (${m_s}$).
The electron shell, or energy level, of an atom is defined by the first quantum number.
The second quantum number, also known as the azimuthal quantum number, is a quantum number that defines the shape of an atomic orbital and determines its orbital angular momentum.
The magnetic quantum number which is the third quantum number is used to designate spatial orientation.
The fourth quantum number, the spin quantum number, represents the position of an electron's intrinsic angular momentum in an atom. It defines an electron's quantum state, including its energy, orbital structure, and orientation.
For carbon, here we take electron $6$, the four quantum numbers are as follows:
This electron is in the second energy level, according to the first quantum number which is $2$ .
The electron is in the p sub-level, according to the second quantum number which is $1$.
The third quantum number which is $0$indicates which orbital this electron is in, which in this case is the middle orbital.
The last quantum number indicates that the electron is spinning up by the spin quantum number as $+ \dfrac{1}{2}$ .
Thus, Carbon with electron 6 has four quantum numbers: $2$,$1$,$0$,$+ \dfrac{1}{2}$ .

Note:
Quantum numbers are important since they can be used to figure out an atom's electron structure and where the atom's electrons are most likely to be found. Other properties of atoms, such as ionisation energy and atomic radius, are often understood using quantum numbers.