Electron Configuration – Detailed Explanation, Filling of orbital, Representation of Electronic Configuration of Atom with FAQs .

What are Electron Configurations?

The electron configuration of an element describes how electrons are distributed in its atomic orbitals.

Electron configurations of atoms follow a standard notation in which all electron-containing atomic subshells (with the number of electrons they hold written in superscript) are placed in a sequence. For example, the electron configuration of sodium is 1s²2s²2p⁶3s¹.

However, the standard notation often yields lengthy electron configurations (especially for elements having a relatively large atomic number).

In such cases, an abbreviated or condensed notation may be used instead of the standard notation.

In the abbreviated notation, the sequence of completely filled subshells that correspond to the electronic configuration of a noble gas is replaced with the symbol of that noble gas in square brackets.

Therefore, the abbreviated electron configuration of sodium is [Ne]3s¹ (the electron configuration of neon is 1s²2s²2p⁶, which can be abbreviated to [He]2s²2p⁶).

Electron Configurations are useful for:

• Determining the valency of an element.
• Predicting the properties of a group of elements (elements with similar electron configurations tend to exhibit similar properties).
• Interpreting atomic spectra.

This notation for the distribution of electrons in the atomic orbitals of atoms came into practice shortly after the Bohr model of the atom was presented by Ernest Rutherford and Niels Bohr in the year 1913.

Writing Electron Configurations

Shells

The maximum number of electrons that can be accommodated in a shell is based on the principal quantum number (n). It is represented by the formula 2n², where ‘n’ is the shell number. The shells, values of n, and the total number of electrons that can be accommodated are tabulated below.

Shell and ‘n’ value	Maximum electrons present in the shell
K shell, n=1	2*12 = 2
L shell, n=2	2*22 = 8
M shell, n=3	2*32 = 18
N shell, n=4	2*42 = 32

Subshells

• The subshells into which electrons are distributed are based on the azimuthal quantum number (denoted by ‘l’).
• This quantum number is dependent on the value of the principal quantum number, n. Therefore, when n has a value of 4, four different subshells are possible.
• When n=4. The subshells correspond to l=0, l=1, l=2, and l=3 and are named the s, p, d, and f subshells, respectively.
• The maximum number of electrons that can be accommodated by a subshell is given by the formula 2*(2l + 1).
• Therefore, the s, p, d, and f subshells can accommodate a maximum of 2, 6, 10, and 14 electrons, respectively.

All the possible subshells for values of n up to 4 are tabulated below.

Principle Quantum Number Value	Value of Azimuthal Quantum Number	Resulting Subshell in the Electron Configuration
n=1	l=0	1s
n=2	l=0	2s
	l=1	2p
n=3	l=0	3s
	l=1	3p
	l=2	3d
n=4	l=0	4s
	l=1	4p
	l=2	4d
	l=3	4f

Thus, it can be understood that the 1p, 2d, and 3f orbitals do not exist because the value of the azimuthal quantum number is always less than that of the principal quantum number.

Notation

• The electron configuration of an atom is written with the help of subshell labels.
• These labels contain the shell number (given by the principal quantum number), the subshell name (given by the azimuthal quantum number) and the total number of electrons in the subshell in superscript.
• For example, if two electrons are filled in the ‘s’ subshell of the first shell, the resulting notation is ‘1s²’.
• With the help of these subshell labels, the electron configuration of magnesium (atomic number 12) can be written as 1s² 2s² 2p⁶ 3s².

Filling of Atomic Orbitals

Aufbau Principle

• This principle is named after the German word ‘Aufbeen’ which means ‘build up’.
• The Aufbau principle dictates that electrons will occupy the orbitals having lower energies before occupying higher energy orbitals.
• The energy of an orbital is calculated by the sum of the principal and the azimuthal quantum numbers.
• According to this principle, electrons are filled in the following order: 1s, 2s, 2p, 3s, 3p, 4s, 3d, 4p, 5s, 4d, 5p, 6s, 4f, 5d, 6p, 7s, 5f, 6d, 7p…

The order in which electrons are filled in atomic orbitals as per the Aufbau principle is illustrated below.

It is important to note that there exist many exceptions to the Aufbau principle such as chromium and copper. These exceptions can sometimes be explained by the stability provided by half-filled or completely filled subshells.

Pauli Exclusion Principle

• The Pauli exclusion principle states that a maximum of two electrons, each having opposite spins, can fit in an orbital.
• This principle can also be stated as “no two electrons in the same atom have the same values for all four quantum numbers”.
• Therefore, if the principal, azimuthal, and magnetic numbers are the same for two electrons, they must have opposite spins.

Hund’s Rule

• This rule describes the order in which electrons are filled in all the orbitals belonging to a subshell.
• It states that every orbital in a given subshell is singly occupied by electrons before a second electron is filled in an orbital.
• In order to maximize the total spin, the electrons in the orbitals that only contain one electron all have the same spin (or the same values of the spin quantum number).

An illustration detailing the manner in which electrons are filled in compliance with Hund’s rule of maximum multiplicity is provided above.

Representation of electronic Configuration of Atom

The electron configurations of a few elements are provided with illustrations in this subsection.

Electron Configuration of Hydrogen

The atomic number of hydrogen is 1. Therefore, a hydrogen atom contains 1 electron, which will be placed in the s subshell of the first shell/orbit.

The electron configuration of hydrogen is 1s¹, as illustrated below.

Electron Configuration of Oxygen

The atomic number of oxygen is 8, implying that an oxygen atom holds 8 electrons. Its electrons are filled in the following order:

K shell – 2 electrons

L shell – 6 electrons

Therefore, the electron configuration of oxygen is 1s² 2s² 2p⁴, as shown in the illustration provided below.

Chlorine Electronic Configuration

Chlorine has an atomic number of 17. Therefore, its 17 electrons are distributed in the following manner:

K shell – 2 electrons

L shell – 8 electrons

M shell – 7 electrons

The electron configuration of chlorine is illustrated below. It can be written as 1s²2s²2p⁶3s²3p⁵ or as [Ne]3s²3p⁵

Frequently Asked Questions – FAQs

Q1 

What is meant by the electronic configuration of an element?

The electronic configuration of an element is a symbolic notation of the manner in which the electrons of its atoms are distributed over different atomic orbitals.

While writing electron configurations, a standardized notation is followed in which the energy level and the type of orbital are written first, followed by the number of electrons present in the orbital written in superscript. For example, the electronic configuration of carbon (atomic number: 6) is 1s²2s²2p².

Q2

What are the three rules that must be followed while writing the electronic configuration of elements?

The three rules that dictate the manner in which electrons are filled in atomic orbitals are:

• The Aufbau principle: electrons must completely fill the atomic orbitals of a given energy level before occupying an orbital associated with a higher energy level. Electrons occupy orbitals in the increasing order of orbital energy level.
• Pauli’s exclusion principle: states that no two electrons can have equal values for all four quantum numbers. Consequently, each subshell of an orbital can accommodate a maximum of 2 electrons and both these electrons MUST have opposite spins. 
• Hund’s rule of maximum multiplicity: All the subshells in an orbital must be singly occupied before any subshell is doubly occupied. Furthermore, the spin of all the electrons in the singly occupied subshells must be the same (in order to maximize the overall spin).

Q3

Why are electronic configurations important?

Electron configurations provide insight into the chemical behaviour of elements by helping determine the valence electrons of an atom. It also helps classify elements into different blocks (such as the s-block elements, the p-block elements, the d-block elements, and the f-block elements). This makes it easier to collectively study the properties of the elements.

Q4

List the electron configurations of all the noble gases.

The electronic configurations of the noble gases are listed below.

• Helium (He) – 1s²
• Neon (Ne) – [He]2s²2p⁶
• Argon (Ar) – [Ne]3s²3p⁶
• Krypton (Kr) – [Ar]3d¹⁰4s²4p⁶
• Xenon (Xe) – [Kr]4d¹⁰5s²5p⁶
• Radon (Rn) – [Xe]4f¹⁴5d¹⁰6s²6p⁶

Q5

What is the electronic configuration of copper?

The electronic configuration of copper is [Ar]3d¹⁰4s¹. This configuration disobeys the aufbau principle due to the relatively small energy gap between the 3d and the 4s orbitals. The completely filled d-orbital offers more stability than the partially filled configuration.