Chemistry tables
All 118 elements, ions, compounds, mole calculations, bonding, equilibrium and organic functional groups.
Common ions
| Ion | Formula | Charge |
|---|---|---|
| Sodium | Na⁺ | +1 |
| Calcium | Ca²⁺ | +2 |
| Ammonium | NH₄⁺ | +1 |
| Chloride | Cl⁻ | −1 |
| Hydroxide | OH⁻ | −1 |
| Nitrate | NO₃⁻ | −1 |
| Sulfate | SO₄²⁻ | −2 |
| Carbonate | CO₃²⁻ | −2 |
A positive ion has lost electrons and a negative ion has gained electrons. Combine ions in ratios that balance total charge.
One Ca²⁺ and two Cl⁻ form CaCl₂. Two Na⁺ and one SO₄²⁻ form Na₂SO₄.
Amount of substance
n = mass / molar mass. Use grams and g/mol to obtain moles.
Molar mass is the mass per mole. It differs from atomic number and needs to be calculated for the full chemical formula.
With NaCl molar mass approximated as 58.44 g/mol, 5.844 g contains 0.1000 mol.
Concentration
Molar concentration = moles of solute / litres of solution.
Use the final solution volume in litres, not the initial volume of solvent alone. Molarity is measured in mol/L.
Dissolving 0.2 mol to make 0.5 L of solution gives 0.4 mol/L.
Balancing equations
Change coefficients, never chemical subscripts. Example: 2H₂ + O₂ → 2H₂O.
Count atoms of each element on both sides. Use whole-number coefficients in the smallest suitable ratio.
2H₂ + O₂ → 2H₂O has four hydrogen atoms and two oxygen atoms on each side.
pH
At school-level dilute-solution approximation, pH = −log₁₀[H⁺]. Neutral water is approximately pH 7 at 25 °C.
The concentration formula is an introductory approximation; the thermodynamic definition uses hydrogen ion activity. Temperature affects neutral pH.
For an ideal dilute solution with [H⁺]=10⁻³ mol/L, pH≈3. A one-unit pH change corresponds to a tenfold activity ratio.
Common laboratory relationships
| Relationship | Meaning and conditions | Example |
|---|---|---|
| c₁V₁=c₂V₂ | Dilution with the same solute and conserved amount; use matching volume units. | 100 mL of 1 M stock diluted to 500 mL gives 0.2 M. |
| PV=nRT | Ideal gas approximation. Use absolute temperature in kelvin and a consistent gas constant. | For 1 mol at 300 K and 100,000 Pa with R≈8.314, V≈0.02494 m³. |
| N=nNₐ | Particle count equals moles times Avogadro’s constant, 6.02214076×10²³ mol⁻¹. | 0.5 mol contains 3.01107038×10²³ specified particles. |
Atomic structure and isotopes
Atomic number Z is proton count. Mass number A is protons plus neutrons in one isotope. A neutral atom has Z electrons; cations have fewer and anions more. Isotopes share Z but differ in neutron count. Average atomic mass reflects isotope abundances.
Sodium-23 has 11 protons and 12 neutrons. Neutral sodium has 11 electrons; Na⁺ has 10. Orbital subshell capacities are s:2, p:6, d:10 and f:14. Each orbital holds at most two opposite-spin electrons.
Back to top ↑All 118 elements: atomic number, symbol and name
Atomic numbers below count protons, not atomic mass. Chemical symbols are case-sensitive: Co is cobalt, while CO is carbon monoxide. Use the search box to locate an element.
| Atomic number | Symbol | Element |
|---|---|---|
| 1 | H | Hydrogen |
| 2 | He | Helium |
| 3 | Li | Lithium |
| 4 | Be | Beryllium |
| 5 | B | Boron |
| 6 | C | Carbon |
| 7 | N | Nitrogen |
| 8 | O | Oxygen |
| 9 | F | Fluorine |
| 10 | Ne | Neon |
| 11 | Na | Sodium |
| 12 | Mg | Magnesium |
| 13 | Al | Aluminium |
| 14 | Si | Silicon |
| 15 | P | Phosphorus |
| 16 | S | Sulfur |
| 17 | Cl | Chlorine |
| 18 | Ar | Argon |
| 19 | K | Potassium |
| 20 | Ca | Calcium |
| 21 | Sc | Scandium |
| 22 | Ti | Titanium |
| 23 | V | Vanadium |
| 24 | Cr | Chromium |
| 25 | Mn | Manganese |
| 26 | Fe | Iron |
| 27 | Co | Cobalt |
| 28 | Ni | Nickel |
| 29 | Cu | Copper |
| 30 | Zn | Zinc |
| 31 | Ga | Gallium |
| 32 | Ge | Germanium |
| 33 | As | Arsenic |
| 34 | Se | Selenium |
| 35 | Br | Bromine |
| 36 | Kr | Krypton |
| 37 | Rb | Rubidium |
| 38 | Sr | Strontium |
| 39 | Y | Yttrium |
| 40 | Zr | Zirconium |
| 41 | Nb | Niobium |
| 42 | Mo | Molybdenum |
| 43 | Tc | Technetium |
| 44 | Ru | Ruthenium |
| 45 | Rh | Rhodium |
| 46 | Pd | Palladium |
| 47 | Ag | Silver |
| 48 | Cd | Cadmium |
| 49 | In | Indium |
| 50 | Sn | Tin |
| 51 | Sb | Antimony |
| 52 | Te | Tellurium |
| 53 | I | Iodine |
| 54 | Xe | Xenon |
| 55 | Cs | Caesium |
| 56 | Ba | Barium |
| 57 | La | Lanthanum |
| 58 | Ce | Cerium |
| 59 | Pr | Praseodymium |
| 60 | Nd | Neodymium |
| 61 | Pm | Promethium |
| 62 | Sm | Samarium |
| 63 | Eu | Europium |
| 64 | Gd | Gadolinium |
| 65 | Tb | Terbium |
| 66 | Dy | Dysprosium |
| 67 | Ho | Holmium |
| 68 | Er | Erbium |
| 69 | Tm | Thulium |
| 70 | Yb | Ytterbium |
| 71 | Lu | Lutetium |
| 72 | Hf | Hafnium |
| 73 | Ta | Tantalum |
| 74 | W | Tungsten |
| 75 | Re | Rhenium |
| 76 | Os | Osmium |
| 77 | Ir | Iridium |
| 78 | Pt | Platinum |
| 79 | Au | Gold |
| 80 | Hg | Mercury |
| 81 | Tl | Thallium |
| 82 | Pb | Lead |
| 83 | Bi | Bismuth |
| 84 | Po | Polonium |
| 85 | At | Astatine |
| 86 | Rn | Radon |
| 87 | Fr | Francium |
| 88 | Ra | Radium |
| 89 | Ac | Actinium |
| 90 | Th | Thorium |
| 91 | Pa | Protactinium |
| 92 | U | Uranium |
| 93 | Np | Neptunium |
| 94 | Pu | Plutonium |
| 95 | Am | Americium |
| 96 | Cm | Curium |
| 97 | Bk | Berkelium |
| 98 | Cf | Californium |
| 99 | Es | Einsteinium |
| 100 | Fm | Fermium |
| 101 | Md | Mendelevium |
| 102 | No | Nobelium |
| 103 | Lr | Lawrencium |
| 104 | Rf | Rutherfordium |
| 105 | Db | Dubnium |
| 106 | Sg | Seaborgium |
| 107 | Bh | Bohrium |
| 108 | Hs | Hassium |
| 109 | Mt | Meitnerium |
| 110 | Ds | Darmstadtium |
| 111 | Rg | Roentgenium |
| 112 | Cn | Copernicium |
| 113 | Nh | Nihonium |
| 114 | Fl | Flerovium |
| 115 | Mc | Moscovium |
| 116 | Lv | Livermorium |
| 117 | Ts | Tennessine |
| 118 | Og | Oganesson |
Periodic trends and common valencies
Across a period atomic radius generally decreases while ionisation energy and electronegativity generally rise, with exceptions. Down a group radius generally increases. Group 1 metals commonly form +1 ions; group 2 form +2; aluminium commonly +3; halides commonly −1. Transition elements often have multiple oxidation states.
| Species | Charge or common oxidation state | Example |
|---|---|---|
| Magnesium | +2 | MgCl₂ |
| Aluminium | +3 | Al₂O₃ |
| Iron | +2 or +3 | FeCl₂ or FeCl₃ |
| Copper | +1 or +2 | Cu₂O or CuO |
| Zinc | +2 | ZnSO₄ |
| Phosphate | −3 | PO₄³⁻ |
| Hydrogen carbonate | −1 | HCO₃⁻ |
| Permanganate | −1 | MnO₄⁻ |
| Dichromate | −2 | Cr₂O₇²⁻ |
Combine ions to make overall charge zero: Al³⁺ and SO₄²⁻ form Al₂(SO₄)₃. Parentheses preserve the polyatomic ion. Oxidation state is formal electron bookkeeping and need not be an actual ionic charge.
Back to top ↑Common compounds and school molar masses
| Compound | Formula | Approximate molar mass (g/mol) |
|---|---|---|
| Water | H₂O | 18.02 |
| Carbon dioxide | CO₂ | 44.01 |
| Sodium chloride | NaCl | 58.44 |
| Calcium carbonate | CaCO₃ | 100.09 |
| Sulfuric acid | H₂SO₄ | 98.08 |
| Hydrochloric acid solute | HCl | 36.46 |
| Sodium hydroxide | NaOH | 40.00 |
| Ammonia | NH₃ | 17.03 |
| Glucose | C₆H₁₂O₆ | 180.16 |
| Baking soda | NaHCO₃ | 84.01 |
| Washing soda | Na₂CO₃·10H₂O | 286.14 |
| Gypsum | CaSO₄·2H₂O | 172.17 |
| Plaster of Paris | CaSO₄·½H₂O | 145.15 |
Use atomic weights supplied in your question when they differ slightly. Hydrated salts include water in the formula mass. 9.01 g water is approximately 0.500 mol. A solution does not have one fixed molar mass like a pure compound.
Back to top ↑Stoichiometry and limiting reagent
Balance the equation, convert reactant amounts to moles, divide each amount by its coefficient and identify the smallest ratio. This reactant limits the theoretical product. Percentage yield=100×actual/theoretical yield on the same basis.
For 2H₂+O₂→2H₂O, 3 mol H₂ and 2 mol O₂ give ratios 1.5 and 2. H₂ limits; 3 mol water can form and 0.5 mol O₂ remains.
Common mistake: Comparing masses directly instead of coefficient-adjusted mole amounts.
Back to top ↑Concentration units and dilution
Mass%=100×solute mass/solution mass. Mole fraction xᵢ=nᵢ/Σn. Mass-based ppm=10⁶×mass fraction; in very dilute aqueous solutions of density near 1 kg/L, mg/L is approximately ppm. Dilution conserves solute amount: M₁V₁=M₂V₂.
5.844 g NaCl is 0.1 mol; make up to 0.5 L solution for 0.2 M. Diluting 50 mL of 2 M solution to 250 mL gives 0.4 M.
Common mistake: Using solvent volume instead of final solution volume for molarity.
Back to top ↑Acids, bases, indicators and salts
A Brønsted acid donates a proton and a base accepts one. Strong versus weak describes extent of ionisation; concentrated versus dilute describes amount per volume. For dilute ideal aqueous solutions at 25°C, pH+pOH≈14. Neutral pH changes with temperature.
| Indicator | Acidic condition | Basic condition |
|---|---|---|
| Litmus | Red | Blue |
| Phenolphthalein | Colourless | Pink in its alkaline transition range |
| Methyl orange | Red | Yellow |
| Universal indicator | Red/orange/yellow depending on pH | Blue/purple depending on pH |
HCl+NaOH→NaCl+H₂O is neutralisation. For a dilute ideal 0.001 M strong monoprotic acid, pH≈3. Salt solutions are not always neutral: Na₂CO₃ solutions are alkaline, while NH₄Cl solutions are acidic.
Back to top ↑Chemical bonding and molecular shape
Metallic bonding involves delocalised electrons. Molecular geometry depends on bonding and lone electron pairs: methane is tetrahedral, ammonia trigonal pyramidal and water bent. A polar bond does not guarantee a polar molecule.
CO₂ is linear, so its two C=O bond dipoles cancel. H₂O is bent, so its bond dipoles do not cancel.
Common mistake: Describing every covalent molecule as non-polar.
Back to top ↑Oxidation, reduction and electrochemistry
An oxidising agent is reduced and a reducing agent is oxidised. Anode is the site of oxidation and cathode of reduction in both galvanic and electrolytic cells. Electrode signs differ between these cell types.
Zn+Cu²⁺→Zn²⁺+Cu: zinc loses two electrons and is the reducing agent. Copper ions gain electrons. For a galvanic cell, E°cell=E°cathode−E°anode using reduction potentials.
Common mistake: Assuming the anode is always negative; an electrolytic anode is positive.
Back to top ↑Equilibrium and reaction quotient
Use equilibrium concentrations; omit pure solids and liquids. Reaction quotient Q uses current values. Q<K favours forward net reaction and Q>K favours reverse. K changes with temperature; a catalyst accelerates approach to equilibrium without changing K.
For N₂+3H₂⇌2NH₃, Kc=[NH₃]²/([N₂][H₂]³). Higher pressure favours fewer gas moles, here the product side.
Common mistake: Changing K merely because a reactant was added at fixed temperature.
Back to top ↑Thermochemistry and reaction rates
Exothermic reactions have negative ΔH; endothermic positive. Hess’s law adds enthalpy changes along a path. Rate law rate=k[A]ᵐ[B]ⁿ has orders determined experimentally, not generally by coefficients of the overall equation.
If product formation enthalpies sum to −500 kJ and reactants to −300 kJ for the stated reaction, ΔH=−200 kJ. A catalyst lowers the effective activation barrier.
Common mistake: Assuming a favourable enthalpy alone guarantees a rapid reaction.
Back to top ↑Organic functional groups
| Class | Group | Example |
|---|---|---|
| Alkane | C–C single bonds | Ethane C₂H₆ |
| Alkene | C=C | Ethene C₂H₄ |
| Alkyne | C≡C | Ethyne C₂H₂ |
| Alcohol | –OH | Ethanol C₂H₅OH |
| Aldehyde | –CHO | Ethanal CH₃CHO |
| Ketone | >C=O | Propanone CH₃COCH₃ |
| Carboxylic acid | –COOH | Ethanoic acid CH₃COOH |
| Ester | –COO– | Ethyl ethanoate CH₃COOC₂H₅ |
| Amine | –NH₂ (primary) | Methylamine CH₃NH₂ |
Homologous members share a functional group and successive members commonly differ by CH₂. Isomers have the same molecular formula but different arrangement. Saturated open-chain alkanes follow CₙH₂ₙ₊₂; do not apply that formula to rings.
Back to top ↑Solubility and reaction recognition
At introductory level, alkali-metal and ammonium salts and most nitrates are soluble in water. Many chlorides are soluble, with important exceptions such as AgCl and PbCl₂. Many carbonates and hydroxides are poorly soluble except relevant alkali-metal and ammonium salts. Temperature and the particular substance matter.
| Reaction type | Example |
|---|---|
| Combination | 2Mg+O₂→2MgO |
| Decomposition | CaCO₃→CaO+CO₂ (heating) |
| Displacement | Zn+CuSO₄→ZnSO₄+Cu |
| Precipitation | AgNO₃+NaCl→AgCl↓+NaNO₃ |
| Acid–carbonate | CaCO₃+2HCl→CaCl₂+H₂O+CO₂ |
| Combustion | CH₄+2O₂→CO₂+2H₂O |
Equations explain classroom concepts. Carry out practical chemistry only with appropriate instruction and laboratory supervision.
Back to top ↑Practice with answers
How many neutrons in carbon-14?
Z=6, so 14−6=8 neutrons.
Formula from Mg²⁺ and NO₃⁻?
Mg(NO₃)₂ balances the charges.
Moles in 22.005 g CO₂?
Using 44.01 g/mol gives 0.500 mol.
pH for ideal dilute [H⁺]=10⁻⁴ mol/L?
pH≈4.
Which is oxidised in Mg+2H⁺→Mg²⁺+H₂?
Mg loses two electrons and is oxidised.
Does a catalyst change the equilibrium constant?
No. It changes reaction rates, not K at a fixed temperature.
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