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Secondary 3 · Science III (Chemistry)
Matter · Electronic structure

Electron Configuration

Before you start, make sure you know: Atomic models (from Dalton to Bohr) (Secondary Year 2)
Before you start, make sure you know: Subatomic particles and isotopes (Secondary Year 2)

The neon in a glowing sign doesn't react with anything; sodium metal, on the other hand, reacts violently when it touches water. What is it about their atoms that makes them so different? The answer lies in how their electrons are arranged. First you'll see it with the Bohr model and Lewis diagrams; then, as an extension, with the quantum model.

Electrons in Shells: The Bohr Model

An atom has a nucleus with protons (positive charge) and neutrons (no charge), and electrons (negative charge) around it. In a neutral atom, the number of electrons equals the atomic number $Z$, which is the number of protons.

In the Bohr model, electrons are arranged in shells or orbits around the nucleus. Each shell holds a maximum number of electrons, and they fill from the inside out:

  • First shell: maximum $2$ electrons.

  • Second shell: maximum $8$ electrons.

  • Third shell: maximum $8$ electrons (for the first $20$ elements).

Element $Z$ Electrons per shell
Hydrogen (H) 1 1
Lithium (Li) 3 2, 1
Carbon (C) 6 2, 4
Oxygen (O) 8 2, 6
Neon (Ne) 10 2, 8
Sodium (Na) 11 2, 8, 1
Chlorine (Cl) 17 2, 8, 7
Argon (Ar) 18 2, 8, 8

Valence Electrons and Lewis Diagrams

In the Bohr model, valence electrons are those in the outermost shell: sodium ($2, 8, 1$) has $1$; chlorine ($2, 8, 7$) has $7$. For the representative elements, this number is related to the group in the periodic table: in groups $1$ and $2$ it equals the group number, and in groups $13$ to $18$ it is the group number minus $10$ (helium, with $2$, is the exception in group $18$).

The Lewis diagram represents valence electrons as dots around the element's symbol. The dots are placed one per side, and once there is one on every side, they form pairs.

Lewis diagrams of sodium (1 dot), carbon (4 dots), chlorine (7 dots), and neon (8 dots), with their group in the periodic table Na C Cl Ne group 1 group 14 group 17 group 18 1 e⁻ 4 e⁻ 7 e⁻ 8 e⁻

The noble gases (group $18$) have a full outer shell: $8$ electrons (helium, $2$). That structure is very stable, which is why they hardly ever react. The other elements tend to gain, lose, or share electrons to become like a noble gas: this is the octet rule. Sodium, with a single valence electron, loses it easily; chlorine, which is one short, tends to gain one.

Quantum Model: Levels, Subshells, and Orbitals

When different gases are heated in a discharge tube, each element emits light only in very specific lines of color, not in a continuous rainbow. This indicates that electrons can only have certain energies. So how are they arranged in the atom?

Comparison between the fixed circular orbit of the Bohr model and the probability cloud, denser near the nucleus, of the quantum model Bohr model nucleus electron exact orbit quantum model nucleus probability cloud (denser near the nucleus) Maximum electron capacity: the s subshell has 1 orbital with at most 2 electrons and the p subshell has 3 orbitals with at most 6 electrons, each orbital holding two electrons of opposite spins s subshell 1 s orbital max. 2 e⁻ p subshell 3 p orbitals max. 6 e⁻ Each orbital (box): max. 2 e⁻ with opposite spins (↑↓)
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The Sun is made mostly of hydrogen ($Z = 1$) and floating party balloons are filled with helium ($Z = 2$). Write the electron configuration of each element and indicate…

The Sun is made mostly of hydrogen ($Z = 1$) and floating party balloons are filled with helium ($Z = 2$). Write the electron configuration of each element and indicate in which subshell its electrons are located.

Solve
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In Bohr's model, electrons followed exact orbits around the nucleus, like planets around the Sun. Today, the quantum model refers to orbitals. The figure compares the…

In Bohr's model, electrons followed exact orbits around the nucleus, like planets around the Sun. Today, the quantum model refers to orbitals. The figure compares the two models.

Bohr model exact orbit quantum model most probable region

Explain in your own words what an orbital is and how it differs from an orbit in Bohr's model.

Solve
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Each orbital can hold a maximum of $2$ electrons. An $s$ subshell has a single orbital and a $p$ subshell has $3$ orbitals, as shown in the figure. Calculate the maximum…

Each orbital can hold a maximum of $2$ electrons. An $s$ subshell has a single orbital and a $p$ subshell has $3$ orbitals, as shown in the figure.

s subshell 1 orbital ? electrons p subshell 3 orbitals ? electrons

Calculate the maximum number of electrons that fit in an $s$ subshell and in a $p$ subshell.

Solve

The Actual Filling Order: The Moeller Diagram

Subshells are not filled in the order "$1s$, $2s$, $2p$, $3s$, $3p$, $3d$…". Starting at level $3$, the $4s$ subshell has lower energy than the $3d$, so it is occupied first.

Moeller diagram: table of subshells by levels with diagonal arrows going from 2p to 3s, from 3p to 4s, from 3d to 4p, from 4p to 5s, and from 4d to 5p, showing the filling order from lowest to highest energy level s p d n=1 n=2 n=3 n=4 n=5 1s 2s2p 3s3p3d 4s4p4d 5s5p The 4s has lower energy than the 3d: it fills first. Order: 1s, 2s, 2p, 3s, 3p, 4s, 3d, 4p, 5s, 4d, 5p…
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The Moeller diagram orders the subshells along diagonals, from lower to higher energy, as shown in the figure. The first sections are: $1s$; then $2s$; then the diagonal…

The Moeller diagram orders the subshells along diagonals, from lower to higher energy, as shown in the figure. The first sections are: $1s$; then $2s$; then the diagonal $2p$-$3s$; then the diagonal $3p$-$4s$; and then the diagonal $3d$-$4p$-$5s$.

n 1 2 3 4 5 1s 2s 3s 4s 5s 2p 3p 4p 3d

Arrange the following subshells in order of increasing energy: $3s$, $4s$, $1s$, $3p$, $2p$, $2s$ and $3d$.

Solve
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The potassium ($Z = 19$) in bananas has one more electron than argon. According to the Moeller diagram, when the $3p$ subshell is full, $4s$ starts to be occupied, which…

The potassium ($Z = 19$) in bananas has one more electron than argon. According to the Moeller diagram, when the $3p$ subshell is full, $4s$ starts to be occupied, which has lower energy than $3d$, as shown in the figure.

energy 3d empty 4s last electron 3p full
  1. a) Write the electron configuration of potassium.
  2. b) State in which subshell its valence electron is located.
Solve
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A student writes in their exercise book that the configuration of sodium ($Z = 11$) is $1s^2\ 2s^2\ 2p^6\ 3s^3$. Find the error, explain why this configuration is…

A student writes in their exercise book that the configuration of sodium ($Z = 11$) is $1s^2\ 2s^2\ 2p^6\ 3s^3$. Find the error, explain why this configuration is impossible and write the correct configuration.

Solve

Writing the Electron Configuration of an Atom

The atomic number $Z$ tells you how many electrons a neutral atom has. How are all of them distributed among subshells?

Move the electron control until it matches the protons: the atom becomes neutral. Those $17$ electrons are the ones to be distributed among subshells following the Moeller diagram.

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Cell phone batteries contain lithium ($Z = 3$). a) Write its electron configuration. b) Explain why the third electron cannot occupy the $1s$ subshell.

Cell phone batteries contain lithium ($Z = 3$).

  1. a) Write its electron configuration.
  2. b) Explain why the third electron cannot occupy the $1s$ subshell.
Solve
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A space probe analyses the atmosphere of a planet and finds atoms whose electron configuration is $1s^2\ 2s^2\ 2p^4$. a) How many electrons does each of those atoms…

A space probe analyses the atmosphere of a planet and finds atoms whose electron configuration is $1s^2\ 2s^2\ 2p^4$.

  1. a) How many electrons does each of those atoms have?
  2. b) Knowing that in a neutral atom the number of electrons equals the atomic number $Z$, which element is it?
Solve
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The electron configuration of an element ends in $3p^5$. a) Write its complete configuration and deduce its atomic number. b) How many electrons is it short of…

The electron configuration of an element ends in $3p^5$.

  1. a) Write its complete configuration and deduce its atomic number.
  2. b) How many electrons is it short of completing level $3$ (including its $3d$ orbitals)?
  3. c) Predict the most likely ion that this element will form and write the configuration of that ion.
Solve

Valence Electrons in the Configuration

Valence electrons are those in the highest occupied level. In the configuration, you add up all the electrons in that level.

Electron configuration of chlorine (Z = 17): the last occupied level is n = 3, with subshells 3s² and 3p⁵, adding up to 7 valence electrons Cl (Z = 17): 1s² 2s² 2p⁶ 3s² 3p⁵ inner levels (n = 1 and n = 2) outermost level: n = 3 3s² + 3p⁵ = 2 + 5 = 7 valence electrons
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Carbon ($Z = 6$) is found in pencil lead, in diamond, and in all molecules of living things. a) Write its electron configuration. b) State how many valence electrons…

Carbon ($Z = 6$) is found in pencil lead, in diamond, and in all molecules of living things.

  1. a) Write its electron configuration.
  2. b) State how many valence electrons (the electrons in its outermost level) it has.
Solve
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The orange street lights on many motorways are sodium-vapour lamps ($Z = 11$). a) Write the electron configuration of sodium. b) How many valence electrons does it have?

The orange street lights on many motorways are sodium-vapour lamps ($Z = 11$).

  1. a) Write the electron configuration of sodium.
  2. b) How many valence electrons does it have?
Solve
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Chlorine ($Z = 17$) is used to disinfect swimming pool water. a) Write its electron configuration. b) State how many valence electrons it has and how many it needs to…

Chlorine ($Z = 17$) is used to disinfect swimming pool water.

  1. a) Write its electron configuration.
  2. b) State how many valence electrons it has and how many it needs to complete its outermost level.
Solve
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Calcium ($Z = 20$) is the mineral in bones and coral reefs. a) Write its electron configuration. b) How many valence electrons does it have?

Calcium ($Z = 20$) is the mineral in bones and coral reefs.

  1. a) Write its electron configuration.
  2. b) How many valence electrons does it have?
Solve

Noble Gases and Stability

The neon in the sign has $1s^2\ 2s^2\ 2p^6$: its outermost level is full with $8$ electrons. Argon ($Z = 18$) ends in $3s^2\ 3p^6$, also with $8$. That structure is very stable, which is why noble gases hardly ever react. Helium is the exception: it completes its only level with $2$ electrons.

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The illuminated signs of many bars and cinemas use neon ($Z = 10$). a) Write its electron configuration. b) Check that its outermost level is full and explain why neon…

The illuminated signs of many bars and cinemas use neon ($Z = 10$).

  1. a) Write its electron configuration.
  2. b) Check that its outermost level is full and explain why neon is such an unreactive gas.
Solve
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The space between the two glass panes of many double-glazed windows is filled with argon ($Z = 18$), a gas that reacts with practically nothing. a) Write its electron…

The space between the two glass panes of many double-glazed windows is filled with argon ($Z = 18$), a gas that reacts with practically nothing.

  1. a) Write its electron configuration.
  2. b) Explain, by looking at its outermost level, why argon is so unreactive.
Solve
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In laboratory videos it can be observed that sodium ($Z = 11$) and potassium ($Z = 19$) react with water in a very similar way, giving off a flame. a) Write the electron…

In laboratory videos it can be observed that sodium ($Z = 11$) and potassium ($Z = 19$) react with water in a very similar way, giving off a flame.

  1. a) Write the electron configurations of the two elements.
  2. b) Point out what their valence shells have in common.
  3. c) Use this similarity to explain why the two elements behave chemically in such a similar way.
Solve

Configuration of Ions and Isoelectronic Species

Reduce the electrons from $11$ to $10$: a $+1$ charge appears. This is how sodium forms the $\text{Na}^+$ ion: it loses its valence electron and ends up with the configuration of neon.

Formula of an Ionic Compound: The Total Charge Must Be Zero

An ionic compound is neutral: the positive charges of the cations must exactly balance the negative charges of the anions. To find the formula, look for how many ions of each type make the sum of the charges equal to $0$.

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Saline solution administered in hospitals contains $\text{Na}^+$ ions. a) Write the electron configuration of the sodium atom ($Z = 11$) and that of the $\text{Na}^+$…

Saline solution administered in hospitals contains $\text{Na}^+$ ions.

  1. a) Write the electron configuration of the sodium atom ($Z = 11$) and that of the $\text{Na}^+$ ion.
  2. b) Which noble gas does the ion's configuration match?
Solve
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In table salt, chlorine ($Z = 17$) is present as the chloride ion, $\text{Cl}^-$. a) Write the electron configuration of the $\text{Cl}^-$ ion. b) Check that it matches…

In table salt, chlorine ($Z = 17$) is present as the chloride ion, $\text{Cl}^-$.

  1. a) Write the electron configuration of the $\text{Cl}^-$ ion.
  2. b) Check that it matches the configuration of a noble gas and state which one it is.
Solve
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In the electronics of cell phones and computers, a highly heat-resistant ceramic is used: aluminum nitride, formed by $\text{Al}^{3+}$ ions and $\text{N}^{3-}$ ions…

In the electronics of cell phones and computers, a highly heat-resistant ceramic is used: aluminum nitride, formed by $\text{Al}^{3+}$ ions and $\text{N}^{3-}$ ions ($Z$: Al = 13, N = 7), as shown in the figure.

Al 3+ Al 13 protons electrons: ? ⇔ same number of electrons N 3− N 7 protons electrons: ?
  1. a) Write the electron configuration of each of the two ions.
  2. b) Check that both have the same number of electrons (they are said to be isoelectronic).
  3. c) Explain why, having the same number of electrons, one has a charge of $3+$ and the other a charge of $3-$ (think about the protons in each nucleus).
Solve
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Some pharmacy antacids contain magnesium oxide, $\text{MgO}$, formed by $\text{Mg}^{2+}$ ions and $\text{O}^{2-}$ ions ($Z$: Mg = 12, O = 8). a) Write the electron…

Some pharmacy antacids contain magnesium oxide, $\text{MgO}$, formed by $\text{Mg}^{2+}$ ions and $\text{O}^{2-}$ ions ($Z$: Mg = 12, O = 8).

  1. a) Write the electron configuration of each ion.
  2. b) Check that the two ions have the same number of electrons.
  3. c) From the configurations of the neutral atoms, explain why it is advantageous for magnesium to lose $2$ electrons and for oxygen to gain $2$.
Solve
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Magnesium chloride, $\text{MgCl}2$ ($Z$: Mg = 12, Cl = 17), is used to melt ice on roads in winter. a) Write the electron configurations of the two atoms and of their…

Magnesium chloride, $\text{MgCl}_2$ ($Z$: Mg = 12, Cl = 17), is used to melt ice on roads in winter.

  1. a) Write the electron configurations of the two atoms and of their ions $\text{Mg}^{2+}$ and $\text{Cl}^-$.
  2. b) Based on the charges of the ions, explain why the formula of the compound is $\text{MgCl}_2$ and not $\text{MgCl}$.
Solve
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For potassium ($Z = 19$), a student writes the configuration $1s^2\ 2s^2\ 2p^6\ 3s^2\ 3p^6\ 3d^1$ and reasons that "after the $3p$ subshell comes the $3d$ subshell". a)…

For potassium ($Z = 19$), a student writes the configuration $1s^2\ 2s^2\ 2p^6\ 3s^2\ 3p^6\ 3d^1$ and reasons that "after the $3p$ subshell comes the $3d$ subshell".

  1. a) Write the correct configuration using the order from the Moeller diagram.
  2. b) Explain what error the student made.
  3. c) According to the correct configuration, how many valence electrons does potassium have?
Solve
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An $\text{X}^{2+}$ ion has the electron configuration $1s^2\ 2s^2\ 2p^6$. a) Calculate how many electrons the ion has and deduce the atomic number of element X. b) A…

An $\text{X}^{2+}$ ion has the electron configuration $1s^2\ 2s^2\ 2p^6$.

  1. a) Calculate how many electrons the ion has and deduce the atomic number of element X.
  2. b) A $\text{Y}^{-}$ ion has exactly the same configuration: deduce its atomic number as well.
  3. c) Using the periodic table, name elements X and Y.
Solve
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Isotonic drinks for athletes contain, among others, $\text{K}^+$, $\text{Ca}^{2+}$ and $\text{Mg}^{2+}$ ions ($Z$: K = 19, Ca = 20, Mg = 12). a) Write the electron…

Isotonic drinks for athletes contain, among others, $\text{K}^+$, $\text{Ca}^{2+}$ and $\text{Mg}^{2+}$ ions ($Z$: K = 19, Ca = 20, Mg = 12).

  1. a) Write the electron configuration of each of the three ions.
  2. b) What do the three configurations have in common?
  3. c) Based on this common feature, explain why it is so easy for these three elements to form positive ions.
Solve

From Bonding to the Properties of Substances

Substance Structure Property explained
NaCl Lattice of ions Doesn't conduct as a solid; molten or dissolved it does, because the ions can move.
Copper Metallic lattice Its mobile electrons conduct electricity.
Diamond Covalent network Very hard: strong bonds in all directions.
Water Molecules Changes state by overcoming forces between molecules.

Not all salts are soluble in water. A molecular substance can also form ions when it dissolves, like HCl. To investigate conductivity, use data or a low-voltage school setup supervised by your teacher; never household current.

Three bonding models: lattice of Na⁺ and Cl⁻ ions attracting each other, water molecule with shared electron pairs, and metallic lattice of cations with mobile electrons Ions attraction + − + − − + − + + − + − Na⁺ Cl⁻ Covalent pairs O H H lone pair bonding pair H₂O Metal electrons +++ +++ +++ +++ +++ +++ cations mobile electrons

Back to the beginning: neon ($Z = 10$, shells $2, 8$) has its outer shell full with $8$ electrons and doesn't need to bond. Sodium ($Z = 11$, shells $2, 8, 1$) very easily loses its single valence electron and ends up with the structure of neon: hence its violent reactivity with water.

Summary

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