Chapter 08

The Periodic Table

Middle School
At a glance
Core ideaThe table orders elements by electron structure, so trends repeat.
Key termEffective nuclear charge — the net pull felt by a valence electron.
You can…Predict radius, ionisation energy and electronegativity trends.
Watch outAtomic radius shrinks across a period but grows down a group.
Theory

Order from electron structure

The periodic table arranges elements by increasing atomic number into periods (rows) and groups (columns). Elements in the same group share the same number of valence electrons and therefore similar chemistry. The table's blocks (s, p, d, f) mirror the orbital being filled.

  • Group 1 — alkali metals, 1 valence electron, very reactive, form +1 ions.
  • Group 17 — halogens, 7 valence electrons, reactive non-metals, form −1 ions.
  • Group 18 — noble gases, full outer shells, almost inert.

Four trends recur predictably across the table:

Periodic trends
PropertyAcross a period (→)Down a group (↓)Cause
Atomic radiusDecreasesIncreasesNuclear charge vs. added shells
Ionisation energyIncreasesDecreasesAttraction to valence electron
ElectronegativityIncreasesDecreasesPull on bonding electrons
Metallic characterDecreasesIncreasesEase of losing electrons
Across Period 3 — atomic radius shrinks, ionisation energy rises Na Group 1 Si Group 14 Cl Group 17 Ar Group 18
Moving left to right across a period, effective nuclear charge climbs, atoms shrink, and it takes more energy to remove an electron.
Explanation

Two competing forces

Nearly every periodic trend is a tug-of-war between two effects. First, effective nuclear charge (Zeff) — the net positive pull felt by a valence electron after inner electrons "shield" it. Across a period, protons are added but electrons enter the same shell and shield poorly, so Zeff rises, pulling electrons in tighter: the atom shrinks and holds its electrons more strongly. Second, shell number — going down a group adds a whole new shell, placing valence electrons farther out and shielding them from the nucleus, so the atom grows and loses electrons more easily.

Mendeleev's genius in 1869 was to leave gaps for undiscovered elements and predict their properties from the pattern. When gallium and germanium were found with almost exactly the predicted properties, the periodic law was vindicated — order in chemistry is real and predictive, not merely descriptive.

Practical

Worked example — ranking by trend

Arrange Na, Mg, and K in order of increasing first ionisation energy, and explain.

  1. Locate them: Na and Mg are in Period 3 (Na in Group 1, Mg in Group 2); K is in Period 4, Group 1.
  2. Compare Na and Mg (same period): ionisation energy increases across a period, so Mg > Na.
  3. Compare Na and K (same group): ionisation energy decreases down a group, so Na > K.
  4. Combine: K < Na < Mg.
  5. Answer: increasing order is K < Na < Mg. K's valence electron is farthest from the nucleus and best shielded, so it is easiest to remove; Mg has the highest Zeff of the three.
Q&A
Why is the atomic radius of a cation smaller than its parent atom?

Forming a cation removes one or more valence electrons — often an entire outer shell. The remaining electrons feel the same nuclear charge shared among fewer electrons, so they are pulled in tighter. Na⁺, for example, has lost its whole 3rd shell, so it is much smaller than Na.

Which has the higher electronegativity, oxygen or sulfur? Why?

Oxygen. Both are in Group 16, but oxygen is above sulfur. Its valence electrons are in the n = 2 shell, closer to the nucleus and less shielded, so oxygen pulls bonding electrons more strongly. Electronegativity decreases down a group.

Explain why noble gases have extremely high ionisation energies.

Noble gases have full outer shells (a stable octet, or duet for He). This configuration is energetically very stable, and Zeff is at a maximum across the period, so removing an electron requires a large energy input. They also have little tendency to gain electrons, making them chemically inert.

Where is the metal–non-metal dividing line, and what are metalloids?

A "staircase" line runs diagonally from around boron down to astatine. Metals lie to the lower-left, non-metals to the upper-right. Elements straddling the line — B, Si, Ge, As, Sb, Te — are metalloids, showing intermediate properties (e.g. silicon's semiconducting behaviour, central to electronics).

Concept mind map

How the ideas connect

Every key idea in this chapter, branching from the core concept — use it to see the whole picture at a glance.

Groups and periodsElectron shellsAtomic radiustrendIonisation energyMetals vsnonmetalsValence electronsThe Periodic Table
Infographic

The key facts, visualised

Group
a column; same number of valence electrons
Period
a row; same number of electron shells
Radius
shrinks across a period, grows down a group
Ionisation
energy to remove an electron; rises across a period
Solved examples

Worked problems, step by step

Follow each solution line by line, then try to reproduce it on paper before moving on.

Example 1Rank Na, Mg and Cl by atomic radius, largest first.

  1. All are in period 3, so radius decreases left to right.
  2. Order left to right is Na, Mg, then Cl.
  3. So radius is largest at Na and smallest at Cl.

Example 2Which loses an electron more easily, Na or Cl?

  1. Ionisation energy rises across a period.
  2. Na is on the left (low ionisation energy); Cl is on the right (high).
  3. Lower ionisation energy means the electron leaves more easily.
Practice problem set

Now you try

Work each one out first, then tap to reveal the worked answer.

1How many valence electrons does a Group 2 element have?
Two, because the group number gives the valence electron count for main groups.
2Why does atomic radius increase down a group?
Each period adds an electron shell, so the outer electrons are farther from the nucleus.
3Are elements on the left of the table metals or nonmetals?
Metals; nonmetals are on the upper right of the table.
4What do elements in the same group have in common?
The same number of valence electrons, so they show similar chemical behavior.
5Which has higher ionisation energy, Mg or S (both period 3)?
S, because ionisation energy increases across a period from left to right.
6What are the noble gases known for?
Being very unreactive because they have full outer electron shells.