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5th Year HL · Chemistry
Matter · Electronic structure

Electron configuration

The neon in an illuminated sign reacts with nothing; metallic sodium, on the other hand, reacts violently on contact with water. Bohr's model, with electrons orbiting in exact paths like planets, cannot explain this difference: we need the orbital model, which describes electrons using orbitals, regions where they are most likely to be found, organised into main energy levels and sublevels.

From Bohr's model to the orbital model: levels, sublevels and orbitals

When different gases are heated in a discharge tube, each element emits light in very specific, separate coloured lines (line emission spectra) instead of a continuous rainbow: how are the electrons arranged in the atom so that they only absorb or emit such specific packets of energy?

Comparison between the fixed circular orbit of Bohr's model and the probability cloud, denser near the nucleus, of the quantum model Bohr's model nucleus electron exact orbit orbital model nucleus probability cloud (denser near the nucleus) Maximum capacity of electrons: the s sublevel has 1 orbital with at most 2 electrons and the p sublevel has 3 orbitals with at most 6 electrons, each orbital with two electrons of opposite spins s sublevel 1 s orbital max. 2 e⁻ p sublevel 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.

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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.

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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.

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The actual filling order: the Aufbau principle

Sublevels are not filled in the order "$1s$, $2s$, $2p$, $3s$, $3p$, $3d$...". From level $3$ onwards, the $4s$ sublevel has lower energy than the $3d$, so it is occupied first. The Aufbau principle says that electrons fill the lowest-energy sublevel available first. The diagram that shows this order is the Aufbau diagram. Where sublevels contain several orbitals of equal energy (such as the three $p$ orbitals), electrons occupy them singly before pairing up (Hund's rule).

Aufbau diagram: table of sublevels by level with diagonal arrows 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 4s has lower energy than 3d: it fills first. Order: 1s, 2s, 2p, 3s, 3p, 4s, 3d, 4p, 5s, 4d, 5p…
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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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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 $3d$.

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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.

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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

Writing the electron configuration of an atom

The atomic number $Z$ tells us how many electrons a neutral atom contains, but atoms with very different atomic numbers behave chemically in the same way if they share the same outer structure: how do we write down and organise all the electrons of an element in order to predict its bonding?

Move the electron slider until it matches the number of protons: check that the interactive shows "neutral atom". Those $17$ electrons are the ones that have to be shared out among the sublevels following the Aufbau order.

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

Mobile 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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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 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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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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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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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

Valence electrons

Electron configuration of chlorine (Z = 17): the outermost occupied level is n = 3, with sublevels 3s² and 3p⁵, giving 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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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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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
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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 in the interactive from $11$ to $10$: a charge of $+1$ appears. This is how sodium forms the $\text{Na}^+$ ion, losing its single valence electron and ending up with the configuration of a noble gas.

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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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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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In the electronics of mobile phones and computers, a highly heat-resistant ceramic is used: aluminium nitride, formed by $\text{Al}^{3+}$ ions and $\text{N}^{3-}$ ions…

In the electronics of mobile phones and computers, a highly heat-resistant ceramic is used: aluminium 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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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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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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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
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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

From bonding to the properties of substances

Bonding is a continuum. The difference in electronegativity (Pauling scale) between two atoms tells you where a bond lies: a large difference gives an ionic bond (NaCl), a small difference gives a polar covalent bond (O–H in water), and no difference gives a pure covalent bond (Cl–Cl).

Substance Structure Conductivity Melting and boiling points Solubility in water State at room temperature
NaCl Lattice of ions Not as a solid; molten or dissolved it does, because the ions can move High (strong attraction between ions) Soluble Solid
Copper Metallic lattice Conducts, because of mobile electrons High Insoluble Solid
Diamond Covalent lattice Does not conduct Very high (strong bonds in all directions) Insoluble Solid
Water Molecules Poor (pure water) Low (only forces between molecules are overcome) Not applicable Liquid

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 supervised low-voltage school set-up; never the mains supply.

A dot-and-cross diagram for sodium chloride shows the ionic case: sodium transfers its single valence electron to chlorine.

The diagram links the main ideas:

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

Back to the beginning: Neon ($Z = 10$, $1s^2\ 2s^2\ 2p^6$) has its valence level full with $8$ electrons and does not need to bond; sodium ($Z = 11$, $[\text{Ne}]\ 3s^1$), on the other hand, loses its single valence electron very easily to reach that same stability, which causes its violent reactivity with water.

Summary

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