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Symbols, Valency, Radicals and Formulae — Notes

5 sections 7 min readBeta

1. Symbols of elements

A symbol is a short sign, one capital letter or a capital followed by a small letter, that stands for an element.

ElementSymbolElementSymbol
HydrogenHSodium (natrium)Na
CarbonCPotassium (kalium)K
NitrogenNIron (ferrum)Fe
OxygenOCopper (cuprum)Cu
SulphurSSilver (argentum)Ag
ChlorineClGold (aurum)Au
CalciumCaLead (plumbum)Pb
ZincZnMercury (hydrargyrum)Hg

Some symbols come from the Latin names of the elements.

  • Qualitative meaning: a symbol names the element.
  • Quantitative meaning: a symbol stands for one atom of the element, and for its relative atomic mass (for example C: one atom of carbon, 12 u).

Cobalt is Co, but CO is the compound carbon monoxide: the second letter must be small.

Table of four symbols taken from Latin names
ElementLatin nameSymbol
SodiumNatriumNa
IronFerrumFe
SilverArgentumAg
LeadPlumbumPb

Key terms

Symbol

A short sign, one or two letters, standing for an element and for one atom of it.

2. Valency

Valency is the combining power of an atom: the number of hydrogen atoms (or atoms that can replace hydrogen) that one atom combines with or displaces. Hydrogen has valency 1.

HydrideValency of the other element
HClChlorine 1
H₂OOxygen 2
NH₃Nitrogen 3
CH₄Carbon 4

Valence electrons are the electrons in the outermost shell. They decide the valency.

  • Metals lose their valence electrons: valency = number of valence electrons (1, 2 or 3).
  • Non-metals gain electrons to complete the octet: valency = 8 − number of valence electrons (4 valence electrons gives valency 4).
  • A full outer shell (a duplet in helium, an octet in neon and argon) means valency 0.
ClassValencyExamples
Monovalent1Na, K, Cl
Divalent2Mg, Ca, O
Trivalent3Al, N, P
Tetravalent4C, Si

Some metals have variable valency: iron is 2 in iron(II) and 3 in iron(III); copper is 1 or 2. The Roman number in the name gives the valency. Class IX only needs the common values.

Key terms

Valency

The combining power of an atom, measured by the number of hydrogen atoms one atom combines with or replaces.

Valence electrons

The electrons in the outermost shell of an atom.

3. Radicals

A radical is an atom or a group of atoms that carries a charge and behaves as one unit in chemical reactions.

  • Positive (basic) radicals are formed by metals, and also ammonium: sodium Na⁺, potassium K⁺, silver Ag⁺, ammonium NH₄⁺, magnesium Mg²⁺, calcium Ca²⁺, zinc Zn²⁺, copper(II) Cu²⁺, iron(II) Fe²⁺, lead(II) Pb²⁺, barium Ba²⁺, aluminium Al³⁺, iron(III) Fe³⁺.
  • Negative (acid) radicals are formed by non-metals or groups with oxygen: chloride Cl⁻, nitrate NO₃⁻, hydroxide OH⁻, hydrogencarbonate HCO₃⁻, oxide O²⁻, sulphide S²⁻, sulphate SO₄²⁻, sulphite SO₃²⁻, carbonate CO₃²⁻, nitride N³⁻, phosphate PO₄³⁻.
  • A simple radical is a single charged atom (Na⁺, Cl⁻, O²⁻). A compound radical is a group of atoms with one charge (NH₄⁺, SO₄²⁻, OH⁻).
  • The valency of an acid radical is the number of hydrogen ions the acid gives: HX2SOX4→2 HX++SOX4X2−\ce{H2SO4 -> 2H+ + SO4^2-}, so sulphate has valency 2.

Books differ on whether hydroxide is listed with the acid radicals; it is a negative radical, and here it is listed with them for convenience.

Table of common radicals grouped by valency
ValencyPositive radicalsNegative radicals
1Na⁺, K⁺, Ag⁺, NH₄⁺Cl⁻, NO₃⁻, OH⁻, HCO₃⁻
2Mg²⁺, Ca²⁺, Zn²⁺, Cu²⁺, Fe²⁺O²⁻, S²⁻, SO₄²⁻, CO₃²⁻, SO₃²⁻
3Al³⁺, Fe³⁺N³⁻, PO₄³⁻

Key terms

Radical

An atom or group of atoms with a charge that behaves as a single unit in reactions.

Compound radical

A group of atoms carrying one charge, such as sulphate or ammonium.

4. Radicals in the atmosphere

This topic is about free radicals in the air, not the charged radicals of formulae.

  • A free radical is a very reactive atom or fragment of a molecule with an unpaired electron. It forms when a bond breaks and each part keeps one electron, for example when sunlight breaks a chlorine molecule into two chlorine atoms.
  • In polluted air, sunlight and heat act on vehicle and factory fumes and produce such radicals, which react at once with other molecules.

Effects on living organisms

  • They irritate the eyes, nose, throat and lungs.
  • They can damage cells and tissues in the body.
  • They help form smog, and they harm plants and reduce crop growth.

Ways to reduce them

  • Cut emissions from vehicles and industries; fit catalytic converters; use cleaner fuels.
  • Stop burning rubbish, stubble and plastics in the open.
  • Stop the use of chlorofluorocarbons; plant more trees.

Only the idea and the effects are asked at Class IX; the detailed reactions belong to higher classes.

Table of sources of atmospheric radicals and the steps to reduce them
Source of radicalsCauseStep to reduce
Vehicle fumesBurning petrol and dieselCatalytic converters, public transport
Factory smokeBurning fuelFilters, cleaner fuels
Open burningRubbish and stubbleStop open burning

Key terms

Free radical

A very reactive atom or fragment of a molecule that has an unpaired electron.

5. Writing formulae and names

A compound is neutral, so the positive and negative charges cancel. The criss-cross method uses valencies to write the formula.

  1. Write the positive radical first, then the negative one.
  2. Write the valency of each above its symbol.
  3. Cross over: the valency of one becomes the subscript of the other.
  4. Divide both subscripts by their common factor; do not write a subscript of 1.
  5. Put a compound radical in brackets if its subscript is more than 1.
CompoundWorkingFormula
Aluminium sulphateAl 3, SO₄ 2 → Al₂(SO₄)₃Al₂(SO₄)₃
Calcium carbonateCa 2, CO₃ 2 → Ca₂(CO₃)₂ ÷ 2CaCO₃
Magnesium nitrideMg 2, N 3 → Mg₃N₂Mg₃N₂
Ammonium sulphateNH₄ 1, SO₄ 2 → (NH₄)₂SO₄(NH₄)₂SO₄

Naming: the positive part first, then the negative part. One non-metal gets the ending -ide (chloride, oxide, sulphide, nitride). A group with oxygen keeps its name (sulphate, sulphite, nitrate, carbonate, phosphate). Variable valency goes in brackets: FeCl₂ is iron(II) chloride, FeCl₃ is iron(III) chloride. The valency of a metal can also be found back from a formula, for example in Fe₂O₃ three oxygen atoms carry 6 negative charges shared by two iron atoms.

Key terms

Criss-cross method

Writing a formula by making the valency of each radical the subscript of the other, after dividing by any common factor.

Exam tips

Common mistakes

  • Writing a symbol with two capitals (CL, NA) or two small letters.
  • Taking the valency of nitrogen as 5 or of oxygen as 6 instead of 3 and 2.
  • Changing the subscripts inside a radical (writing SO₃ for sulphate, or CaCO₂).
  • Forgetting the common factor, or leaving a bracket round a radical that occurs once.
  • Mixing up sulphate and sulphite, or nitrate and nitride.
  • Giving the charged radicals of formulae when the question asks about free radicals in the air.

How marks are usually awarded

  • 1 mark: a symbol, a valency, a formula or a name.
  • 2 marks: two matched points, or a formula with its working.
  • 3 marks: three formulae or names, or three matched points on radicals in the air.
  • 10-mark structured question: a short situation with parts of 2 to 4 marks; give working for each formula.