Last updated: 15 August 2026
At O-Level, an electronic structure such as 2,8,1 was enough to describe a sodium atom. It showed that sodium has three occupied electron shells and one electron in its outer shell. At A-Level, we look more closely inside those shells.
Electrons within the same principal shell do not all have exactly the same energy. They occupy different subshells and atomic orbitals. This extra detail explains several observations that the simple shell model cannot explain, including why 4s fills before 3d, why chromium and copper have unusual electronic configurations, and why first ionisation energy does not increase perfectly smoothly across a period.
The important idea is that electronic configuration and ionisation energy are not separate topics. The configuration tells us where the electrons are, while ionisation energy tells us how strongly those electrons are held. Both arise from the same extranuclear structure.
Diagnostic Quiz
Try these five questions before reading the chapter. They check the ideas about shells, orbitals and electron removal that the A-Level model will build on.
- 5 quick questions
- Spot common electronic-structure misconceptions
- Every answer option is explained
What is extranuclear structure?
The nucleus contains the protons and neutrons of the atom. The electrons outside the nucleus form its extranuclear structure.
At A-Level, we describe this structure using three levels:
A principal shell contains one or more subshells, and each subshell contains one or more orbitals.
For example, the third principal shell contains the 3s, 3p and 3d subshells. The 3p subshell then contains three separate 3p orbitals.
Principal quantum number, n
Each principal electron shell is identified by its principal quantum number, n.
- n = 1 is the principal shell closest to the nucleus.
- n = 2 is the next principal shell.
- n = 3 is farther from the nucleus.
- n = 4 is farther still.
As n increases, electrons are generally found farther from the nucleus and have higher energies. However, this does not mean that every orbital in shell 4 must be higher in energy than every orbital in shell 3. Subshell energies can overlap, which becomes important when we compare 4s and 3d.
Subshells and atomic orbitals
Principal shells are divided into subshells. The subshells most important in this part of the syllabus are labelled s, p and d.
| Subshell | Number of orbitals | Maximum electrons in each orbital | Maximum electrons in subshell |
|---|---|---|---|
| s | 1 | 2 | 2 |
| p | 3 | 2 | 6 |
| d | 5 | 2 | 10 |
These maximum electron numbers are not three unrelated facts to memorise. They follow directly from the number of orbitals present because every orbital can contain a maximum of two electrons.
What exactly is an atomic orbital?
An atomic orbital is a region of space around the nucleus in which there is a high probability of finding an electron with a particular energy.
The word orbital is important. An orbital is not a small physical box and it is not a track along which an electron travels.
Orbit: suggests a definite path, like a planet moving around the Sun.
Orbital: describes a three-dimensional probability distribution showing where an electron is likely to be found.
How to read notation such as 3p⁴
The notation used for a subshell contains three pieces of information.
Consider 3p⁴.The number 3 identifies the third principal shell.
The letter p identifies the type of subshell.
The superscript 4 means that four electrons occupy the entire 3p subshell.
Since a p subshell contains three orbitals, the four electrons are distributed among those three orbitals rather than all being placed in a single orbital.
Shapes of s, p and d orbitals
Orbital shapes represent the regions in which an electron has a high probability of being found. The nucleus lies at the centre of the orbital diagrams.
s orbitals are spherical
An s orbital is spherical. The probability distribution is therefore the same in every direction around the nucleus.
The 1s, 2s and 3s orbitals are all spherical, although they differ in size, energy and their detailed internal probability distributions.
p orbitals are dumbbell-shaped
A p orbital has two lobes on opposite sides of the nucleus and is usually described as dumbbell-shaped.
Each p subshell contains three p orbitals:
- px is oriented along the x-axis;
- py is oriented along the y-axis; and
- pz is oriented along the z-axis.
Within an isolated atom, these three p orbitals have the same energy but differ in their orientation in space.
d orbitals have more complex shapes
A d subshell contains five orbitals. Four are commonly represented as four-lobed, cloverleaf-shaped orbitals.
The dz² orbital looks different: it has two lobes along the z-axis together with a ring-shaped region around its centre.
The boundary drawn around an orbital represents a region of high electron probability. The electron does not travel around that boundary as though it were moving on the surface of a balloon.
Relative energies and the order in which orbitals fill
Electrons tend to occupy the lowest-energy orbitals available. For constructing the ground-state electronic configurations needed here, use the following practical filling sequence:
One feature immediately stands out: 4s is occupied before 3d. The principal quantum number alone therefore does not determine the order in which subshells fill.
The relative energies of 4s and 3d depend on the electron configuration of the atom. This is why the statement “4s is always below 3d” causes problems when transition-metal ions are formed.
Three rules for placing electrons into orbitals
Knowing the order of the subshells is only part of the problem. We must also know how the electrons are arranged within individual orbitals.
1. Aufbau principle
The Aufbau principle states that electrons occupy the available orbitals of lowest energy first.
This is why 1s fills before 2s, 2s fills before 2p, and 4s begins to fill before 3d in potassium and calcium.
2. Pauli exclusion principle
The Pauli exclusion principle means that an atomic orbital can contain a maximum of two electrons, and those two electrons must have opposite spins.
Two electrons with the same spin cannot occupy the same orbital.
3. Hund’s rule
Hund’s rule applies when several orbitals of equal energy are available. Electrons occupy these orbitals singly, with parallel spins, before pairing occurs.
Consider a p subshell containing three equal-energy orbitals:
| Configuration | Distribution among the three p orbitals | Unpaired electrons |
|---|---|---|
| p¹ | ↑ empty empty | 1 |
| p² | ↑ ↑ empty | 2 |
| p³ | ↑ ↑ ↑ | 3 |
| p⁴ | ↑↓ ↑ ↑ | 2 |
| p⁵ | ↑↓ ↑↓ ↑ | 1 |
| p⁶ | ↑↓ ↑↓ ↑↓ | 0 |
Example: nitrogen and oxygenNitrogen has the outer configuration 2p³:
N: 2p³ = ↑ ↑ ↑Each 2p orbital is singly occupied.
Oxygen has the outer configuration 2p⁴:
O: 2p⁴ = ↑↓ ↑ ↑The fourth 2p electron has to pair with one of the first three electrons. The resulting electron–electron repulsion will later help us explain why oxygen has a lower first ionisation energy than nitrogen.
Writing electronic configurations
An electronic configuration shows how an atom’s electrons are distributed among its occupied subshells.
A reliable method is:
- Determine the total number of electrons.
- Fill the subshells in order of increasing energy.
- Do not exceed the capacity of any subshell.
- Apply Hund’s rule when filling orbitals of equal energy.
- Add the superscripts at the end to check that every electron has been included.
Examples of electronic configurations
| Atom | Number of electrons | Electronic configuration |
|---|---|---|
| Na | 11 | 1s² 2s² 2p⁶ 3s¹ |
| Cl | 17 | 1s² 2s² 2p⁶ 3s² 3p⁵ |
| K | 19 | 1s² 2s² 2p⁶ 3s² 3p⁶ 4s¹ |
| Ca | 20 | 1s² 2s² 2p⁶ 3s² 3p⁶ 4s² |
| Fe | 26 | 1s² 2s² 2p⁶ 3s² 3p⁶ 3d⁶ 4s² |
| Br | 35 | 1s² 2s² 2p⁶ 3s² 3p⁶ 3d¹⁰ 4s² 4p⁵ |
Noble-gas notation
Long configurations can be shortened by replacing the completed inner-shell configuration with the symbol of the preceding noble gas in square brackets.
| Atom | Full electronic configuration | Shortened configuration |
|---|---|---|
| Na | 1s² 2s² 2p⁶ 3s¹ | [Ne] 3s¹ |
| Ca | 1s² 2s² 2p⁶ 3s² 3p⁶ 4s² | [Ar] 4s² |
| Fe | 1s² 2s² 2p⁶ 3s² 3p⁶ 3d⁶ 4s² | [Ar] 3d⁶ 4s² |
| Br | 1s² 2s² 2p⁶ 3s² 3p⁶ 3d¹⁰ 4s² 4p⁵ | [Ar] 3d¹⁰ 4s² 4p⁵ |
You may notice that iron is often written as [Ar] 3d⁶ 4s² even though 4s filled before 3d. The written order of occupied subshells does not change the electron arrangement. What matters is knowing which subshells are occupied and how many electrons each contains.
Why chromium and copper are exceptions to the simple filling pattern
If we followed the simple filling sequence mechanically, we might initially predict:
The observed ground-state configurations are instead:
The 3d and 4s subshells are very close in energy. In chromium and copper, transferring one electron from 4s into 3d gives an overall electron arrangement that is slightly lower in energy.
- Chromium obtains a half-filled 3d⁵ subshell.
- Copper obtains a completely filled 3d¹⁰ subshell.
Chromium and copper are important exceptions because the 3d and 4s energies are unusually close. The experimentally observed configurations are the lower-energy arrangements for these atoms.
Electronic configurations of ions
When an atom forms an ion, the number of protons does not change. The number of electrons changes.
- A positive ion has lost electrons.
- A negative ion has gained electrons.
Main-group ions
Example: Na⁺ and O²⁻A sodium atom has 11 electrons. Na⁺ has lost one electron, so it has 10:
Na⁺: 1s² 2s² 2p⁶An oxygen atom has 8 electrons. O²⁻ has gained two electrons, so it also has 10:
O²⁻: 1s² 2s² 2p⁶Na⁺ and O²⁻ are isoelectronic: they have the same number and arrangement of electrons.
Transition-metal ions: remove 4s before 3d
The formation of transition-metal ions causes an apparent contradiction: 4s fills before 3d, but 4s empties before 3d.
The key is that the relative energies of 4s and 3d change as the 3d subshell becomes occupied. Once 3d electrons are present, the occupied 4s level lies higher in energy and the 4s electrons are removed first when a cation forms.
| Species | Electron change | Electronic configuration |
|---|---|---|
| Fe | Neutral atom | [Ar] 3d⁶ 4s² |
| Fe²⁺ | Remove two 4s electrons | [Ar] 3d⁶ |
| Fe³⁺ | Remove two 4s electrons, then one 3d electron | [Ar] 3d⁵ |
| Cu | Neutral atom | [Ar] 3d¹⁰ 4s¹ |
| Cu⁺ | Remove the 4s electron | [Ar] 3d¹⁰ |
| Cu²⁺ | Remove the 4s electron, then one 3d electron | [Ar] 3d⁹ |
When building a neutral atom: 4s is occupied before 3d.
When forming a transition-metal cation: remove 4s electrons before removing 3d electrons.
What is ionisation energy?
Ionisation energy measures how much energy is required to remove an electron from an atom or ion in the gaseous state. It therefore gives us evidence about how strongly an electron is attracted to the nucleus.
First ionisation energy
The first ionisation energy of an element is the energy required to remove one mole of electrons from one mole of gaseous atoms to form one mole of gaseous 1+ ions.
Ionisation energies are normally measured in kJ mol⁻¹.
The particles must be gaseous atoms, one electron is removed from each atom, and the products are gaseous 1+ ions.
Energy must be supplied because the negatively charged electron is attracted electrostatically to the positively charged nucleus. The electron must be pulled away against this attraction.
Second and later ionisation energies
Once one electron has been removed, another electron can be removed from the resulting ion.
Notice that the second ionisation energy removes an electron from X⁺, not from another neutral X atom.
What determines the magnitude of ionisation energy?
The central question is: how strongly is the electron being removed attracted to the nucleus?
Several factors affect this attraction.
1. Nuclear charge
A nucleus containing more protons has a greater positive charge. If the other factors are similar, a greater nuclear charge produces a stronger attraction for an electron and therefore a higher ionisation energy.
2. Distance from the nucleus
Electrostatic attraction becomes weaker as the distance between opposite charges increases.
An electron in a higher principal shell is generally farther from the nucleus, so it is usually easier to remove.
3. Shielding
Electrons between the nucleus and the electron being removed repel that electron and reduce the full attractive effect of the nucleus. This is called shielding.
Inner-shell electrons are especially important in shielding outer electrons from the nucleus.
4. The subshell occupied
Electrons in different subshells of the same principal shell do not have exactly the same energy or experience the nucleus in exactly the same way.
For example, a 3p electron is higher in energy and less penetrating than a 3s electron. It is therefore generally easier to remove a 3p electron than a comparable 3s electron.
5. Repulsion between paired electrons
If two electrons occupy the same orbital, they repel one another. This additional electron–electron repulsion can make it easier to remove one of the paired electrons.
When explaining an ionisation-energy trend, consider the nuclear charge, distance from the nucleus, shielding and the particular subshell or orbital occupied by the electron.
First ionisation energy across the Periodic Table
Across a period: the general trend is upwards
First ionisation energy generally increases across a period.
Across Period 3, for example:
- proton number increases;
- nuclear charge increases;
- the additional electrons enter the same principal shell;
- the number of occupied inner shells stays the same; and
- shielding by the inner shells therefore remains approximately constant.
The increasing nuclear charge produces a greater effective attraction for the outer electrons. The atomic radius generally decreases, and more energy is needed to remove the outer electron.
Exam-style reasoningAcross Period 3, nuclear charge increases while electrons are added to the same principal shell. Shielding by inner-shell electrons remains approximately constant, so the effective nuclear attraction increases. The outer electron is held more strongly and the first ionisation energy generally increases.
Why the trend is not perfectly smooth
The general increase contains small decreases. These are useful rather than troublesome because they provide evidence for subshell energies and electron pairing.
Why first ionisation energy decreases from Mg to Al
The electron removed from magnesium is a 3s electron. The electron removed from aluminium is a 3p electron.
The 3p electron is higher in energy and less penetrating than the 3s electron. It is therefore more shielded from the nucleus and easier to remove.
This subshell effect outweighs the increase in nuclear charge from Mg to Al, so aluminium has the lower first ionisation energy.
Weak explanation: Aluminium has more electrons, so there is more shielding.
Better explanation: Aluminium loses a higher-energy 3p electron, whereas magnesium loses a lower-energy, more penetrating 3s electron.
Why first ionisation energy decreases from P to S
The three 3p electrons in phosphorus occupy separate p orbitals:
Sulfur has one additional 3p electron. This electron must pair with one of the existing electrons:
Repulsion between the paired electrons makes one of the electrons in the doubly occupied orbital easier to remove. This effect outweighs the increase in nuclear charge, so sulfur has a slightly lower first ionisation energy than phosphorus.
| Decrease | Main explanation |
|---|---|
| Mg → Al | The electron removed changes from a lower-energy 3s subshell to a higher-energy 3p subshell. |
| P → S | Electron pairing in a 3p orbital introduces additional electron–electron repulsion. |
The corresponding decreases from Be to B and from N to O in Period 2 arise from the same underlying ideas.
Down a group: the general trend is downwards
First ionisation energy generally decreases down a group.
Down a group:
- the outer electron occupies a higher principal shell;
- its average distance from the nucleus increases;
- there are more occupied inner shells; and
- shielding increases.
Nuclear charge also increases, but the effects of increased distance and shielding outweigh this. The outer electron is held less strongly and is easier to remove.
Exam-style reasoningDown a group, the outer electron is farther from the nucleus and experiences greater shielding by inner-shell electrons. These effects outweigh the increase in nuclear charge, so the attraction between the nucleus and the outer electron decreases. Less energy is required to remove the electron.
Successive ionisation energies reveal electron structure
Successive ionisation energies give us an experimental way to work backwards from measured energies to the electron arrangement of an atom.
Why successive ionisation energies increase
After each electron is removed, the species becomes more positively charged. The remaining electrons are therefore increasingly strongly attracted to the same nucleus.
As a result, successive ionisation energies generally become progressively larger.
What causes a very large jump?
A particularly large jump occurs when all the electrons in one outer principal shell have already been removed and the next electron must be taken from an inner principal shell.
Compared with the outer-shell electron, an inner-shell electron:
- is closer to the nucleus;
- experiences less shielding; and
- is therefore much more strongly attracted to the nucleus.
A much larger amount of energy is needed to remove it.
Example: a large jump after the third ionisation energySuppose the first three ionisation energies increase gradually, but the fourth value is dramatically larger.
- The first three electrons were removed from the outer principal shell.
- The fourth electron must come from a closer inner principal shell.
- The atom therefore has three electrons in its outer principal shell.
- For a main-group element, this is characteristic of Group 13.
Large shell jumps and smaller subshell changes
Not every increase in successive ionisation energy means that a new principal shell has been reached.
A smaller but noticeable increase can occur when electron removal changes from a higher-energy p subshell to a lower-energy s subshell within the same principal shell.
A change to a new inner principal shell produces a much larger increase because the electron is both significantly closer to the nucleus and less shielded.
| Pattern | Likely interpretation |
|---|---|
| Gradual increase | Electrons are being removed from similar outer energy levels. |
| Noticeable but moderate increase | Electron removal may have changed from one subshell to another within the same principal shell. |
| Very large increase | Electron removal has begun from a new inner principal shell. |
How to use successive ionisation-energy data
When interpreting a sequence of ionisation energies:
- Look first for the very large jumps.
- Count the electrons removed before the first major jump.
- This gives the number of electrons in the outer principal shell.
- Look for later major jumps to identify the sizes of inner shells.
- Combine this information with the period or total number of electrons when given.
Example: identifying aluminiumAn element in Period 3 shows a very large jump between its third and fourth ionisation energies.
Three electrons are therefore removed from the third principal shell before an electron must be removed from the second principal shell.
outer configuration = 3s² 3p¹The Period 3 element with this configuration is aluminium.
The simple rule linking the first major jump directly to a main-group group number works most straightforwardly for s- and p-block elements. Transition elements require more care because the 4s and 3d subshells are close in energy.
Common mistakes in electronic structure and ionisation energy
| Common mistake | Why it is wrong | Better approach |
|---|---|---|
| Describing an orbital as a fixed path travelled by an electron | An orbital is a probability distribution, not an electron orbit | Describe it as a region in which there is a high probability of finding the electron |
| Saying a p subshell contains six orbitals | A p subshell contains three orbitals; six is its maximum number of electrons | Remember: 3 p orbitals × 2 electrons each = 6 electrons |
| Pairing p electrons before all three orbitals are singly occupied | This violates Hund’s rule | Occupy equal-energy orbitals singly before pairing |
| Writing Cr as [Ar] 3d⁴ 4s² and Cu as [Ar] 3d⁹ 4s² | These are simple predictions, not the observed ground-state configurations | Use Cr: [Ar] 3d⁵ 4s¹ and Cu: [Ar] 3d¹⁰ 4s¹ |
| Removing 3d electrons before 4s when forming transition-metal cations | Once 3d is occupied, the 4s electrons are removed first | For Fe²⁺, remove the two 4s electrons from [Ar] 3d⁶ 4s² |
| Leaving out the gaseous state in an ionisation-energy definition or equation | Ionisation energy is defined for gaseous atoms or ions | Write X(g) → X⁺(g) + e⁻ for first ionisation |
| Explaining Mg → Al using only “more shielding” | The important difference is the higher-energy 3p electron in aluminium | Compare the subshells from which the electrons are removed |
| Explaining P → S using a change of subshell | Both electrons being compared are removed from 3p | Explain the additional repulsion caused by electron pairing in sulfur |
| Saying shielding increases greatly across a period because electron number increases | The additional electrons enter the same principal shell and the number of occupied inner shells stays the same | State that inner-shell shielding remains approximately constant while nuclear charge increases |
| Treating every increase in successive ionisation energy as a new shell | Some smaller changes arise from differences between subshells | Look for a very large jump when identifying a change of principal shell |
Electronic structure and ionisation-energy checklist
Understand the orbitals
- Can I distinguish a principal shell, subshell and orbital?
- Do I know that s, p and d contain 1, 3 and 5 orbitals?
- Can I recognise the general shapes of s, p and d orbitals?
- Can I explain why an orbital is not a fixed electron path?
Write configurations correctly
- Can I use the correct filling sequence up to 4p?
- Can I apply the Aufbau principle, Pauli principle and Hund’s rule?
- Do I remember the configurations of Cr and Cu?
- Can I form ions correctly, including removing 4s before 3d?
Explain ionisation energies
- Can I state the first ionisation-energy definition precisely?
- Can I write equations for first and successive ionisations?
- Can I use nuclear charge, distance and shielding in explanations?
- Can I explain the Mg → Al and P → S decreases separately?
Interpret the evidence
- Can I explain the trend across a period?
- Can I explain the trend down a group?
- Can I identify a major shell jump in successive ionisation energies?
- Can I use the position of that jump to deduce outer-shell electron number?
Mastery Quiz
Now apply the chapter to unfamiliar configurations and ionisation-energy patterns. These questions focus on reasoning rather than simple definition recall.
- 10 application-focused questions
- Electronic configurations and ionisation-energy reasoning
- Every answer option is explained
Frequently asked questions
Questions students often ask about electronic structure
The hardest parts of this topic usually come from ideas that appear contradictory at first. These questions bring those ideas together.
Are electron shells, subshells and orbitals three different models?
They are different levels of detail within the same description. A principal shell contains subshells, and a subshell contains orbitals. Saying that an electron is in the third shell is therefore less specific than saying it is in a 3p orbital.
Does an orbital show where the electron definitely is?
No. An orbital describes a probability distribution. It identifies a region in which the electron has a high probability of being found rather than specifying one definite position or path.
Why are there three p orbitals but only one p subshell?
A subshell is a collection of orbitals of the same type. One p subshell contains three differently oriented orbitals, px, py and pz. Together they can hold a maximum of six electrons.
Why can only two electrons occupy one orbital?
The Pauli exclusion principle limits an orbital to two electrons. When two electrons occupy the same orbital, they must have opposite spins.
Why does 4s fill before 3d if 4s electrons are removed first?
The relative energies of 4s and 3d are very close and depend on the electron configuration. Before 3d becomes occupied, 4s is the lower-energy available subshell and fills first. Once 3d electrons are present, the occupied 4s level lies higher in energy, so 4s electrons are removed first when transition-metal cations form.
Should iron be written as [Ar] 4s² 3d⁶ or [Ar] 3d⁶ 4s²?
Both orders may be encountered because they describe the same occupied subshells. Writing [Ar] 3d⁶ 4s² is common when discussing transition metals. The important point is that 4s filled before 3d during construction of the neutral atom and is removed before 3d when the ion forms.
Why do chromium and copper not follow the simple filling prediction?
The 3d and 4s subshells are very close in energy. For chromium and copper, moving one 4s electron into 3d gives a slightly lower-energy overall arrangement. The resulting configurations are [Ar] 3d⁵ 4s¹ for Cr and [Ar] 3d¹⁰ 4s¹ for Cu.
Is shielding the same as effective nuclear charge?
No. Shielding describes the reduction in nuclear attraction caused by other electrons, especially inner-shell electrons. Effective nuclear attraction is the resulting attraction experienced by the electron after shielding and electron–electron interactions are taken into account.
Why does a larger nuclear charge not always mean a larger ionisation energy?
Nuclear charge is only one factor. The electron may be farther from the nucleus, more strongly shielded or in a higher-energy subshell. For example, aluminium has a greater nuclear charge than magnesium, yet its outer 3p electron is easier to remove than magnesium’s 3s electron.
Why are successive ionisation energies useful for finding electron arrangements?
Electrons in the same outer principal shell are removed at broadly comparable energy scales. Once those electrons have been removed, taking an electron from a closer inner shell requires dramatically more energy. The positions of these large jumps therefore reveal how electrons are distributed among principal shells.
Does every jump in successive ionisation energy represent a new principal shell?
No. Successive values rise anyway because electrons are being removed from increasingly positive ions. Smaller changes can also arise when removal moves between subshells. A change to a new inner principal shell is identified by a much larger jump.
What is the most important idea to remember for ionisation-energy explanations?
Always compare how strongly the electron being removed is attracted to the nucleus. Then identify why that attraction differs: nuclear charge, distance, shielding, subshell energy or electron pairing. This is much stronger than trying to memorise each trend as an isolated fact.
The extranuclear structure of an atom gives one connected explanation for many apparently separate observations. Principal shells divide into subshells and orbitals; orbital energies determine how electrons are arranged; and nuclear attraction determines how difficult those electrons are to remove. Once you can move confidently between orbital structure → electronic configuration → nuclear attraction → ionisation energy, the trends and so-called exceptions become consequences of the same atomic model rather than facts that have to be memorised separately.
