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Atomic Structure and Periodic Classification formulas

2 formulas, 7 reference tables and 12 common traps for CDS Chemistry Atomic Structure and Periodic Classification, grouped by subtopic.

Full notes with worked examples

Atomic Models: Dalton to Bohr

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Dalton's atomic theory and its limits

StatementExplained by Dalton's theory?
Law of conservation of massYes
Law of constant compositionYes
Law of multiple proportionsYes
Atoms contain electrons, protons and neutronsNo — the atom is indivisible in this theoryQ
CDS 2025 (I): the presence of sub-atomic particles is what Dalton's theory does not explain.

Rutherford's gold-foil experiment and its limit

ScientistKey result
J. J. ThomsonDiscovered the electron; plum-pudding model
Ernest RutherfordGold-foil experiment: discovered the atomic nucleusQ
Asked three times: CDS 2019 (II), 2020 (I) and 2025 (I). The answer is always the nucleus, never the proton or neutron.
Niels BohrFixed orbits; explains why the atom is stableQ
CDS 2025 (I): Rutherford's model could not explain the stability of the atom.
James ChadwickDiscovered the neutron

Common traps

Dalton's symbols versus today's symbols

A question asking who introduced the symbol of an element usually wants Dalton, who first used symbols. The one- and two-letter symbols in use today came later, from Berzelius. Read the stem for which one it means.

Gold foil found the nucleus, not the proton

The large deflections showed a positively charged nucleus. Options naming the electron, proton, neutron or 'isotopes of gold' are distractors.

Rutherford's weakness is stability

Rutherford's model does explain the nucleus, its positive charge and its small size compared with the atom. It does not explain why the circling electron does not fall in: the stability of the atom.

Atomic Number, Isotopes and Isobars

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Counting protons, neutrons and electrons

Mass number and electron count

A=Z+Ne−=Z−qA = Z + N \qquad e^{-} = Z - q
  • AAmass number (protons + neutrons)
  • ZZatomic number (protons)
  • NNnumber of neutrons
  • qqcharge on the ion (+ or −)

Isotopes and isobars

TermSameDifferentExample
IsotopesAtomic number ZMass number A³⁵Cl and ³⁷Cl (both Z = 17)Q
IsobarsMass number AAtomic number Z⁴⁰Ar (Z = 18) and ⁴⁰Ca (Z = 20)Q
CDS 2019 (II): 'isobars have the same atomic number' was the incorrect statement.
Hydrogen isotopesZ = 1A = 1, 2, 3Protium, deuterium, tritium; tritium is radioactiveQ

Isoelectronic species

ElectronsSpecies
10N³⁻, O²⁻, F⁻, Ne, Na⁺, Mg²⁺, Al³⁺
18P³⁻, S²⁻, Cl⁻, Ar, K⁺, Ca²⁺Q
CDS 2022 (II): Cl⁻ is not isoelectronic with Mg²⁺, which has only 10 electrons.

Common traps

A positive ion has FEWER electrons

A charge of +q means q electrons have been lost. O₂⁺ has 16 − 1 = 15 electrons, not 17.

Isobars share A, not Z

Isobars have the same mass number and different atomic numbers. 'Same atomic number, different mass number' describes isotopes. CDS has used this swap as the wrong statement more than once.

Hydronium is not an isotope

H₃O⁺ is an ion. The isotopes of hydrogen are protium, deuterium and tritium.

Count the ion's electrons, not the atom's

Magnesium has 12 electrons, but Mg²⁺ has 10. So Mg²⁺ belongs with neon, not with the 18-electron ions such as Cl⁻ and K⁺.

Electron Configuration and the Periodic Table

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Electron configuration and valency

Valency from valence electrons

valency={vv≤48−vv≥4\text{valency} = \begin{cases} v & v \le 4 \\ 8 - v & v \ge 4 \end{cases}
  • vvnumber of electrons in the outermost shell

How the modern periodic table is built

FactAnswer
Who showed atomic number is more fundamental than atomic massHenry MoseleyQ
Sm, Cs, Os, NpLanthanoid, alkali metal, transition metal, actinoidQ
CDS 2026 (I) match-the-list.
Naturally occurring elements94Q
Symbols of gold, tin, leadAu, Sn, PbQ

Trends in atomic size and metallic character

PropertyDown a groupAcross a period
Atomic radiusIncreasesDecreasesQ
CDS 2024 (I): Na > Li > Be > O.
Metallic characterIncreasesDecreasesQ
CDS 2026 (I): Be < Ca < Sr < Ba is the right order of metallic character.
Ionisation energyDecreasesIncreases

Noble gases, alkali metals and other element facts

ElementFact
HeliumMonatomic gas (full shell)Q
CDS 2019 (II) asked which is monatomic; CDS 2026 (I) had 'helium : diatomic gas' as the wrong pair.
CaesiumTimekeeper in atomic clocksQ
NitrogenThree unpaired electrons (2p³)
CarbonTetravalent
Phosphorus, sulphurPolyatomic: P₄, S₈

Common traps

Chemistry comes from electrons, not the nucleus

Protons fix which element it is and neutrons add mass, but chemical properties come from the valence electrons.

Sn is tin, Sb is antimony

Tin is Sn (stannum). Sb is antimony, and Ga is gallium, not gold. Gold is Au.

Lanthanoids fill 4f, actinoids 5f

Samarium (Sm) is a lanthanoid; neptunium (Np) is an actinoid. Osmium (Os) is a d-block transition metal and caesium (Cs) an alkali metal. Match-the-list options swap the two f-series.

Radius falls across a period

'Atomic radius increases from left to right' is false. More protons in the same shell pull the electrons closer, so size decreases across a period.

Noble gases are single atoms

He, Ne and Ar exist as single atoms. A pair that says 'helium : diatomic gas' is the wrongly matched one.

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