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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 reacts with nothing; sodium, on the other hand, burns violently when it touches water. Both are atoms with electrons, yet they behave very differently. The Bohr model, with electrons orbiting like planets, is not enough to explain this: we need to know how electrons are arranged in levels, sublevels, and orbitals. That is what electron configuration is.

From the Bohr model to the quantum model

When a gas is heated, each element emits light only in certain colors (as in fireworks at festivals). This shows that electrons cannot have just any energy, only certain allowed values. The quantum model organizes those values.

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 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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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 filling order: the diagonal rule

Sublevels are not filled in the order "$1s$, $2s$, $2p$, $3s$, $3p$, $3d$…". Starting at level $3$, the $4s$ sublevel has less energy than $3d$, so it is occupied first. The correct order is obtained with the diagonal rule (Moeller diagram).

Moeller diagram: table of sublevels by level with diagonal arrows indicating 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 less energy than 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

Writing the electron configuration of an atom

The atomic number $Z$ is the number of protons; in a neutral atom it is also the number of electrons. To write the configuration, those $Z$ electrons are distributed among the sublevels, following the diagonal order and without exceeding the capacity of each one.

With $17$ protons and $17$ electrons the atom is neutral. Those $17$ electrons are the ones to be distributed.

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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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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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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

Valence electrons

Electron configuration of chlorine (Z = 17): the outermost occupied level is n = 3, with the sublevels 3s² and 3p⁵, which add 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

We add up all the electrons in the highest level, not just those in the last sublevel written.

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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

Complete outer level: noble gases and potassium

Let's return to neon and sodium. Noble gases have a complete outer level (eight electrons, the octet), and that is why they hardly react. Alkali metals, such as sodium and potassium, have a single valence electron.

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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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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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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

Electron configuration of ions

An atom can gain or lose electrons and become an ion: the number of protons does not change, only the number of electrons. Why it does this and what energy is involved is studied in ENL-ESTAB; here you only need to know how to write the configuration.

With $11$ protons and $10$ electrons a charge of $+1$ appears: it is the $\text{Na}^+$ ion, with the configuration of neon.

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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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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
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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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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

Families with the same valence

Atoms with similar valence configurations behave in similar ways. Sodium ($3s^1$) and potassium ($4s^1$) have a single valence electron, and both lose it easily to end up with a noble gas configuration. That is why they react in a similar way with water. Elements with the same number of valence electrons are in the same column (family or group) of the periodic table, the topic of the next page.

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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
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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

Back to the beginning: neon ($1s^2\ 2s^2\ 2p^6$) has its outer level complete with $8$ electrons and does not need to bond. Sodium ($1s^2\ 2s^2\ 2p^6\ 3s^1$) loses its single valence electron with great ease to reach that same stability, hence its violent reaction with water.

Summary

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