Electron configurations: notes and practice questions
- This topic models electron energy states in atoms, covering emission spectra and electron configurations.
- Emission spectra show discrete lines as electrons return to lower energy levels, providing evidence for discrete energy levels.
- The main energy level can hold a maximum of electrons.
- Main energy levels are divided into s, p, d, and f sublevels, each containing a fixed number of orbitals.
- Each orbital holds two electrons with opposite spin, following the Aufbau principle, Hund's rule, and Pauli exclusion principle.
- Deduce full and condensed electron configurations for atoms and ions up to , including exceptions like Cr and Cu.
- Qualitatively describe the relationship between colour, wavelength, frequency, and energy across the electromagnetic spectrum.
How it is examined
Writing a configuration is a reliable 1-mark part: May 2025 HL Paper 2 TZ1 2(a) was "Deduce the electron configuration of the Co²⁺ ion" for [1], accepting either `1s²2s²2p⁶3s²3p⁶3d⁷` or `[Ar]3d⁷`. The HL convergence-limit calculation is a 3-mark chain: energy per mole to energy per atom, then f = E/h, then λ = c/f, and the mark scheme awards [3] for a correct final answer. Ions matter: students lose the mark by removing 4s electrons in the wrong order for transition metal cations.
The electromagnetic spectrum. The Planck constant h, the speed of light c, and the equations E = hf and c = λf (HL). First ionization energy values. The periodic table, which gives the block structure. Aufbau, Hund and Pauli are recall, as are the Cr and Cu exceptions and the orbital shapes.
- 1.3.1 Emission spectra are produced by atoms emitting photons when electrons in excited states return to lower energy levels. Students qualitatively describe the relationship between colour, wavelength, frequency and energy across the electromagnetic spectrum, and distinguish a continuous from a line spectrum.
- 1.3.2 The line emission spectrum of hydrogen provides evidence for electrons in discrete energy levels that converge at higher energies. Students describe the hydrogen emission spectrum, including the relationships between the lines and energy transitions to the first, second and third energy levels.
- 1.3.3 The main energy level is given an integer number n and can hold a maximum of 2n² electrons.
- 1.3.4 A more detailed model divides the main energy level into s, p, d and f sublevels of successively higher energies. Students recognize the shape and orientation of an s atomic orbital and the three p atomic orbitals.
The names of the different series in the hydrogen emission spectrum will not be assessed. Do not ask for Lyman, Balmer or Paschen by name.
- 1.3.6 In an emission spectrum, the limit of convergence at higher frequency corresponds to ionization. Students explain trends and discontinuities in first ionization energy (IE) across a period and down a group, and calculate the first IE from spectral data giving the wavelength or frequency of the convergence limit.
- 1.3.7 Successive ionization energy data for an element give information about its electron configuration. Students deduce the group of an element from its successive ionization data.
Guiding questions
- How can we model the energy states of electrons in atoms?
Linking questions
- Structure 3.1 How does an element's highest main energy level relate to its period number? What is the relationship between energy sublevels and the block nature of the periodic table?
- Nature of science, Structure 1.2 How do emission spectra provide evidence for the existence of different elements?
- Inquiry 2 In the study of emission spectra from gaseous elements and of light, what qualitative and quantitative data can be collected from instruments such as gas discharge tubes and prisms?
- Structure 3.1 (HL) How does the trend in IE values across a period and down a group explain the trends in properties of metals and non-metals?
- Structure 3.1 (HL) How do patterns of successive IEs of transition elements help to explain the variable oxidation states of these elements?
Practice questions
23 questions · 8 easy · 14 medium · 1 hardQuestion 1
EasyPaper 1A · calculator1 markWhat is the total number of orbitals in the principal energy level where ?
A. 4
B. 8
C. 16
D. 32
The total number of orbitals in a principal energy level 'n' is given by the formula . Alternatively, you can sum the number of orbitals in each sub-level (s, p, d, f) present in that energy level.
Question 2
MediumPaper 1A · calculator1 markWhich pair of species has the same number of electrons in the outermost principal energy level?
The letters do not represent symbols of elements.
A. P and Q
B. Q and S
C. P and R
D. R and S
First, determine the total number of electrons for each species by considering its atomic number (the subscript) and its charge (the superscript). Then, write out the full electron configuration for each species to identify the outermost principal energy level and count the electrons within it.
Question 3
HardPaper 2 · calculator23 marksA sample of chlorine consists of two isotopes, and .
(a) Contrast the sub-atomic structure of these two isotopes.
(b) (i) The sample of chlorine is analysed in a mass spectrometer, producing a spectrum for the ion. The spectrum shows three peaks at m/z values of 70, 72 and 74. Explain the origin and relative heights of these three peaks, given that the abundance of is approximately three times that of .
(ii) A more precise measurement finds the composition by mass to be: : 75.76%, : 24.24%. Calculate the relative atomic mass of chlorine from this sample, giving your answer to two decimal places. (Use isotopic masses of 35.0 and 37.0 for this calculation).
Magnesium chloride, , and manganese(II) chloride, , are two ionic compounds.
(c) (i) Deduce the type of bonding in magnesium chloride, , using electronegativity values from section 9 of the data booklet.
(ii) Determine the lattice enthalpy of magnesium chloride, assuming the bonding is purely ionic. Use sections 9, 10 and 12 of the data booklet and the following data:
Enthalpy of formation of magnesium chloride =
(iii) Explain, with reference to electron configurations, why the ionic radii of , and are different. Use section 10 of the data booklet.
(iv) Predict, with a reason, which has the stronger ionic bonding, manganese(II) chloride, , or magnesium chloride.
Magnesium chloride is white, but manganese(II) chloride is pale pink.
(d) (i) State the condensed electron configuration of a manganese atom.
(ii) State the reason, in terms of electron configuration, why manganese(II) chloride is coloured.
(iii) Manganese(II) chloride absorbs light with a wavelength of approximately 530 nm. Describe why this is consistent with the observed colour of the compound. Use sections 2 and 15 of the data booklet.
A copper key is to be electroplated with manganese using an aqueous solution of manganese(II) chloride as the electrolyte.
(e) (i) Deduce the half-equations for the reactions occurring at the anode (made of pure manganese) and the cathode (the copper key).
(ii) Deduce a balanced chemical equation for the reaction of fluorine gas with the aqueous chloride ions in the electrolyte.
Isotopes of an element have the same number of protons but a different number of another sub-atomic particle. What is this particle and how does its number differ between and ?
The peaks correspond to different combinations of the two chlorine isotopes in a diatomic molecule. The height of each peak is related to the probability of that specific combination occurring. Consider the relative abundances of the isotopes.
The relative atomic mass is the weighted average of the isotopic masses. Multiply each isotopic mass by its fractional abundance and sum the results.
Find the electronegativity values for magnesium and chlorine. The difference in their electronegativity values will indicate the type of bonding.
Construct a Born-Haber cycle for the formation of from and . Use Hess's Law to find the unknown lattice enthalpy. Remember to account for the stoichiometry, especially for chlorine.
Compare the number of electron shells and the nuclear charge (number of protons) for each ion.
The strength of ionic bonding depends on the charge of the ions and the distance between them (ionic radii). Compare these factors for and .
Manganese is in the first row of the d-block. Remember the filling order of the 4s and 3d sub-levels.
The colour of transition metal compounds is related to the electronic structure of the transition metal ion. What is special about the d-sublevel in coloured ions?
The colour we see is the complementary colour to the one that is absorbed. Use the colour wheel in the data booklet to find the complementary colour of the absorbed light.
In electroplating, the object to be plated is the cathode, and the metal used for plating is the anode. Oxidation occurs at the anode and reduction occurs at the cathode.
Consider the relative oxidizing strengths of the halogens. A more reactive halogen will displace a less reactive halide from its salt solution.
Question 4
EasyPaper 1A · calculator1 markWhat is the charge of the monatomic ion usually formed by the element with the following electron configuration?
A.
B.
C.
D.
Identify the number of valence electrons (electrons in the outermost principal energy level). Determine if the element will lose or gain electrons to achieve a more stable configuration.
Question 5
MediumPaper 1A · calculator1 markWhich option shows the correct formula and electron configuration of the species in aluminium sulfide?
A. Formula: ; Al species: ; S species:
B. Formula: ; Al species: [Ne] ; S species: [Ne]
C. Formula: ; Al species: ; S species:
D. Formula: ; Al species: [Ne] ; S species: [Ne]
First, determine the charges of the aluminium and sulfide ions based on their positions in the periodic table. Use these charges to find the correct chemical formula. Then, write the electron configurations for these ions, not the neutral atoms.
Question 6
EasyPaper 2 · calculator1 markWhich of the following ions has the greatest number of valence electrons?
A.
B.
C.
D.
To find the total number of valence electrons in a polyatomic ion, sum the valence electrons of each atom and then adjust for the ion's charge. For a negative charge, add electrons; for a positive charge, subtract electrons. The group number in the periodic table can help you find the number of valence electrons for each atom.
Question 7
MediumPaper 2 · calculator4 marksThe successive ionization energies for an unknown element, Z, are shown in the table below.
| Ionization | Ionization Energy / kJ mol⁻¹ |
|---|---|
| 1st | 1012 |
| 2nd | 1907 |
| 3rd | 2914 |
| 4th | 4964 |
| 5th | 6274 |
| 6th | 21269 |
(a) Deduce the group number of element Z in the periodic table.
(b) Explain your reasoning for the answer in part (a).
(c) Element Z is in Period 3. State the full electron configuration of an atom of Z.
Look for a large, sudden increase in the ionization energy values. What does this jump tell you about the electron shells?
Relate the large jump in ionization energy to the removal of electrons from different energy levels or shells. How many electrons are in the outermost shell?
If the element is in Group 15 and Period 3, what is its atomic number? Use this to write out the full electron configuration starting from the 1s orbital.
Question 8
EasyPaper 1A · calculator1 markWhat is the total number of orbitals in the third main energy level ()?
A.
B.
C.
D.
The third main energy level contains s, p, and d sub-levels. Recall how many orbitals are in each of these sub-levels and sum them up. Alternatively, there is a direct formula relating the principal quantum number, n, to the total number of orbitals.
Question 9
MediumPaper 2 · calculator5 marksThe first six successive ionization energies for an element, Q, are given in the table below.
| Ionization Number | Ionization Energy / kJ mol⁻¹ |
|---|---|
| 1st | 787 |
| 2nd | 1577 |
| 3rd | 3232 |
| 4th | 4356 |
| 5th | 16091 |
| 6th | 19805 |
(a) Deduce the group number of element Q in the periodic table.
(b) Explain your answer to part (a).
(c) Element Q is in Period 3. State its full electron configuration.
(d) Write the equation, including state symbols, that represents the third ionization energy of element Q.
Look for a large jump in the ionization energy values. What does this jump tell you about the number of valence electrons?
Relate the large jump in ionization energy to the removal of electrons from different principal energy levels. How many electrons are in the outermost shell?
The group number tells you the number of valence electrons. The period number tells you the principal energy level of the valence shell. Fill the orbitals in order of increasing energy.
The third ionization energy is the energy required to remove one electron from a gaseous ion with a +2 charge.
Question 10
EasyPaper 1A · calculator1 markWhat is the maximum number of electrons that can be accommodated in the fourth principal energy level ()?
A. 8
B. 16
C. 18
D. 32
The maximum number of electrons in a principal energy level, n, is given by the formula . Substitute the given value of n into this formula.
Question 11
MediumPaper 2 · calculator1 markThe line emission spectrum of hydrogen provides evidence for the existence of discrete energy levels in the atom. Which statement is correct?
A. A line corresponding to a wavelength of 103 nm has a lower energy than a line with a wavelength of 122 nm.
B. The spectral lines converge at longer wavelengths.
C. Electron transitions to the level are responsible for lines in the visible region.
D. The series of lines produced by transitions to the level are in the ultraviolet region.
Consider the relationship between energy, frequency, and wavelength of light. Also, recall which series of transitions (Lyman, Balmer, Paschen) correspond to which regions of the electromagnetic spectrum.
Question 12
EasyPaper 1A · calculator1 markThe line emission spectrum of hydrogen consists of a series of discrete lines. Which statement provides the reason for this observation?
A. Electrons in the hydrogen atom can occupy any energy state.
B. Electrons transition between discrete, quantized energy levels.
C. The nucleus of a hydrogen atom contains no neutrons.
D. The energy of emitted photons is continuous.
Consider the relationship between the light emitted (photons) and the behaviour of electrons within the atom. Why would the light appear at specific, separate wavelengths instead of all wavelengths?
Question 13
MediumPaper 2 · calculator1 markWhich of the following atoms has the greatest third ionisation energy?
A. Magnesium
B. Aluminium
C. Silicon
D. Phosphorus
Consider the electron configuration of the ion formed after two electrons have been removed from each neutral atom. Which of these ions has a particularly stable electron configuration, similar to a noble gas?
Question 14
EasyPaper 1A · calculator1 markWhat is the charge of the monatomic ion usually formed by the element with the following electron configuration?
A. 2+
B. 2-
C. 4-
D. 6+
Identify the element from its electron configuration. How many valence electrons does it have? To achieve a stable octet, will it gain or lose electrons, and how many?
Question 15
MediumPaper 2 · calculator1 markWhich electronic transition in the hydrogen atom results in the emission of electromagnetic radiation with the shortest wavelength?
A.
B.
C.
D.
Remember the relationship between the energy of a photon and its wavelength. Also, consider how the energy gaps between electron shells change as the principal quantum number, n, increases.
Question 16
EasyPaper 1A · calculator1 markWhat is the total number of orbitals in a d sub-level?
A. 3
B. 5
C. 7
D. 10
Consider the different types of sub-levels (s, p, d, f). How many degenerate orbitals does each type of sub-level contain?
Question 17
MediumPaper 2 · calculator3 marksMagnesium and calcium are two alkaline earth metals in the periodic table.
(a) State the full electron configuration of a magnesium atom.
(b) Explain why the first ionization energy of calcium is lower than that of magnesium.
Magnesium has an atomic number of 12. Fill the orbitals in order of increasing energy, starting with 1s.
Compare the positions of calcium and magnesium in the periodic table. How do factors like atomic radius and nuclear shielding change down a group?
Question 18
MediumPaper 2 · calculator6 marksThe first four elements of Period 3 are sodium (Na), magnesium (Mg), aluminium (Al), and silicon (Si).
(a) State the full electron configuration of a magnesium atom and an aluminium atom.
(b) Explain why the first ionization energy of aluminium is lower than that of magnesium, which is an exception to the general trend across a period.
(c) Predict, with a reason, whether the second ionization energy of sodium or magnesium will be higher.
Recall the order of filling electron orbitals (s, p, d, f) and the number of electrons each can hold. The atomic number from the periodic table gives the total number of electrons in a neutral atom.
Consider the specific orbitals from which the outermost electron is removed in magnesium and aluminium. Think about the relative energy levels of these orbitals and the effect of electron shielding.
First, write the electron configuration for the and ions. Then, consider which principal energy level the second electron is being removed from in each case. Removing an electron from a complete, stable energy level requires significantly more energy.
Question 19
MediumPaper 1A · calculator1 markWhich of the following species have the same number of outer electrons? The letters do not represent symbols of elements.
A. M and P
B. N and Q
C. M and N
D. P and Q
For each species, first determine the atomic number (number of protons) from the subscript. Then, calculate the total number of electrons by considering the charge on the ion. Finally, write out the electron configuration for each species to find the number of electrons in the outermost energy level.
Question 20
MediumPaper 1A · calculator1 markWhich row shows the correct formula and electron configuration of the species in potassium sulfide?
| Formula | Electron configuration of the K species | Electron configuration of the S species | |
|---|---|---|---|
| A. | |||
| B. | |||
| C. | |||
| D. |
First, determine the charges of the ions that potassium and sulfur form based on their group numbers in the periodic table. Use these charges to find the simplest whole-number ratio for the chemical formula. Then, determine the electron configuration for each of these ions by adding or removing electrons from the neutral atom's configuration.
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