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GlossaryElement data tableFormula referenceOne-page summary

A reference chapter rather than an argument. Every term used across the previous twelve chapters is defined here in a sentence or two, followed by the master element table and a one-page summary of the whole case.

13.1Glossary — A to E

TermDefinition
Activation energy (E_a)Energy barrier a process must overcome; appears in the Arrhenius equation.
Antisite defectAn atom occupying the crystallographic site of a different species — the Ni²⁺-on-Li⁺ problem of chapter 4.
Arrhenius equationD = D₀·exp(−E_a/k_BT); describes the exponential temperature dependence of rate processes.
Band structureThe allowed energy ranges for electrons in a solid.
BET surface areaSpecific surface area in m²/g, measured by gas adsorption. Predicts SEI formation and first-cycle loss.
Bragg’s lawnλ = 2d sin θ; relates diffraction angle to lattice spacing.
Bruggeman relationD_eff = D·ε^1.5; corrects transport properties for porous geometry.
Butler–Volmer equationRelates current density to overpotential at an electrode. Current rises exponentially with overpotential.
CalenderingRoll-pressing an electrode to set thickness, density and porosity.
CatenationAn element’s ability to bond to itself in chains or rings — carbon’s defining property.
Charge density (ionic)Charge per ion volume; drives solvation strength and binding.
Charge-transfer resistance (R_ct)Resistance of the electron-transfer step at the electrode/electrolyte interface, including desolvation.
Coercivity (H_c)The reverse magnetic field required to demagnetise a material.
Conversion reactionAn electrode reaction that breaks and reforms the host structure, as opposed to intercalation.
Coordination numberThe number of nearest-neighbour atoms around a central atom.
Crystal field splitting (Δ_o)Energy separation of d orbitals caused by surrounding ligands.
Curie temperatureThe temperature above which ferromagnetism vanishes.
DegeneracyTwo or more electronic states having the same energy.
DesolvationStripping solvent molecules from an ion before it enters the electrode.
Dielectric constant (ε_r)The factor by which a medium reduces electrostatic force; screens ion pairing so a salt can dissociate.
Donor number (DN)A measure of a solvent’s electron-donating, cation-solvating strength.
Effective nuclear charge (Z_eff)The net nuclear attraction felt by a valence electron after shielding.
Electrochemical stability window (ESW)The voltage range in which an electrolyte does not decompose.
Electronegativity (χ)The tendency of a bonded atom to attract shared electrons.
Exchange current density (i₀)The intrinsic rate of an electrode reaction at equilibrium.

13.2Glossary — F to M

TermDefinition
Faraday constant (F)96,485 C/mol — the charge carried by one mole of electrons.
Fermi levelThe energy up to which electron states are filled in a solid.
Gibbs free energy (ΔG)Thermodynamic driving force; ΔG = −nFE.
Goldschmidt classificationLithophile / chalcophile / siderophile / atmophile grouping of the elements by Earth differentiation.
Gurley numberAir permeability of a separator; a proxy for tortuosity.
High-spin / low-spinWhether d electrons maximise unpaired spins or pair up in the lower orbital set; decided by Δ_o versus pairing energy.
HOMO / LUMOHighest occupied and lowest unoccupied molecular orbital; they set the oxidation and reduction limits of an electrolyte.
HybridisationMixing of atomic orbitals (sp, sp², sp³) to form directional bonds.
Hydration / solvation enthalpyEnergy released when a gaseous ion is surrounded by solvent molecules; scales roughly as z²/r.
Inductive effectTransmission of electron density through bonds, shifting a distant atom’s redox energy — the LFP mechanism.
IntercalationReversible insertion of a guest ion into a host lattice’s interstitial sites without destroying the framework.
Ionic radiusEffective radius of an ion in a crystal for a given charge and coordination number (Shannon).
Ionisation energy (IE)Energy required to remove an electron from a gaseous atom.
Jahn–Teller distortionSpontaneous geometric distortion that lifts electronic degeneracy — the d⁴ Mn³⁺ problem.
MacMullin number (N_M)Ratio of bulk to effective electrolyte resistivity in a porous medium; τ/ε.
Magnetocrystalline anisotropyPreference of magnetisation for a specific crystal direction; the source of coercivity.
Migration barrierActivation energy for an ion hopping between adjacent lattice sites.

13.3Glossary — N to Z

TermDefinition
Overpotential (η)Voltage in excess of the thermodynamic requirement, needed to drive a reaction at a given rate.
Oxidation stateThe notional charge an atom would carry if all its bonds were fully ionic.
PassivationFormation of a protective surface film that halts further reaction.
Percolation thresholdThe volume fraction of conductive additive at which a connected network first spans the electrode.
Polarising powerA cation’s ability to distort neighbouring electron clouds; scales as z/r².
Porosity (ε)Void fraction of an electrode, filled with electrolyte.
Redox coupleA pair of oxidation states an element cycles between, e.g. Co³⁺/Co⁴⁺.
Scherrer equationRelates XRD peak broadening to crystallite size; D = Kλ/(β cos θ).
SEI (Solid Electrolyte Interphase)The passivating film formed by electrolyte reduction on the anode; conducts Li⁺, blocks electrons.
Shielding (σ)Reduction of nuclear attraction on valence electrons by inner electrons.
Site preference energyEnergetic preference of an ion for one crystallographic site over another.
Specific capacityCharge stored per unit mass in mAh/g; Q = nF/(3.6M).
StagingOrdered, stepwise filling of graphite galleries during lithiation, producing the stepped voltage profile.
Standard electrode potential (E°)Half-cell potential measured against the standard hydrogen electrode.
Stokes–Einstein relationD = k_BT/(6πηr); links diffusion coefficient to solvent viscosity.
Tap densityDensity of a powder after standardised settling; predicts volumetric energy density.
Tortuosity (τ)Ratio of actual to straight-line ion path length through a porous medium.
Transference number (t₊)Fraction of ionic current carried by the cation; only 0.2–0.4 in conventional electrolytes.
Van der Waals forceWeak attraction from induced dipoles; what holds graphite layers together.
Warburg impedanceDiffusion-limited contribution to electrochemical impedance; the 45° line at low frequency.
Weakly coordinating anionAn anion with delocalised charge that dissociates readily from its cation.

13.4Element reference data

Standard-condition literature values for representative materials. Ionic radii are Shannon values for the species named, at six-coordination.

ElementZGroup/BlockM (g/mol)E° (V vs SHE)Ionic radius (pm)χAbundance (ppm)EV role
H11, s1.0080.002.201,400Fuel cells
Li31, s6.94−3.04576 (Li⁺)0.9820Charge carrier
C614, p12.012.55200Anode, additive
O816, p16.00+1.23140 (O²⁻)3.44461,000Cathode framework
F917, p19.00+2.87133 (F⁻)3.98585Salt, binder, SEI
Na111, s22.99−2.711020.9323,600Na-ion
Mg122, s24.31−2.37721.3123,300Candidate, alloys
Al1313, p26.98−1.6653.51.6182,300Collector, dopant
Si1414, p28.0940 (Si⁴⁺)1.90282,000Anode, electronics
P1515, p30.9738 (P⁵⁺)2.191,050LFP, salt
S1616, p32.06184 (S²⁻)2.58350Li-S candidate
K191, s39.10−2.931380.8220,900Candidate
Ca202, s40.08−2.871001.0041,500Candidate
Ti224, d47.87−1.6360.5 (Ti⁴⁺)1.545,650LTO, dopant
Mn257, d54.94−1.1864.5 (Mn³⁺)1.55950NMC, LMO
Fe268, d55.85−0.4478 (Fe²⁺)1.8356,300LFP, steel
Co279, d58.93−0.2854.5 (Co³⁺ LS)1.8825NMC, NCA
Ni2810, d58.69−0.2569 (Ni²⁺)1.9184NMC, NCA
Cu2911, d63.55+0.3473 (Cu²⁺)1.9060Collector, windings
Zn3012, d65.38−0.76741.6570Aqueous batteries
Ga3113, p69.72−0.5362 (Ga³⁺)1.8119GaN electronics
Nd60f144.24−2.3298.3 (Nd³⁺)1.1428Magnets
Dy66f162.50−2.3091.2 (Dy³⁺)1.225.2Magnet coercivity
Pt7810, d195.08+1.1962.5 (Pt⁴⁺)2.280.005Fuel cell catalyst

13.5The one-page summary

13.5.1Why lithium

Lithium won because it occupies a unique point in the periodic table: the top-left corner, where an element is simultaneously the lightest metal, the most electropositive element in aqueous conditions, and the source of the only cation small enough to intercalate quickly while carrying only a single charge. Every alternative sacrifices at least one of those three.

13.5.2Why the cathode is a transition metal

Only partially filled d orbitals give reversible multi-valent redox at high potential. Nickel supplies electrons, cobalt supplies structure, manganese supplies cheapness with a Jahn–Teller liability, and iron supplies abundance once phosphorus’s inductive effect lifts its voltage into the useful range.

13.5.3Why the anode is carbon

sp² hybridisation produces a layered, conductive, van-der-Waals-bonded host that lithium — and essentially only lithium — enters cheaply and reversibly. Silicon stores ten times as much and expands 280 per cent doing it; LTO cannot plate lithium and pays for that twice.

13.5.4What the non-metals do

Oxygen makes the ionic lattice that holds metals at high oxidation state. Phosphorus tunes redox energy and locks oxygen in. Fluorine delocalises anion charge to make the electrolyte conduct and to widen its stability window — and generates HF as the price.

13.5.5Why the foils are what they are

Copper and aluminium are assigned by standard electrode potential, not by cost. Copper is noble enough to survive at 0.1 V; aluminium passivates well enough to survive at 4.2 V; and neither can do the other’s job.

Important

And beneath all of it sits transport physics — porosity, tortuosity, and the L²/D diffusion time — which decides whether a thermodynamically excellent material is a product or a laboratory curiosity.

LFP is the standing proof: chemically ideal, kinetically hopeless, and rescued entirely by nano-sizing and carbon coating.

Chapter summary

Frequently asked questions

What is the one-sentence version of why lithium won?+

Lithium occupies a unique point in the periodic table — the top-left corner, where an element is simultaneously the lightest metal, the most electropositive element in aqueous conditions, and the source of the only cation small enough to intercalate quickly while carrying only a single charge. Every alternative sacrifices at least one of those three.

What is the difference between intercalation and a conversion reaction?+

Intercalation is the reversible insertion of a guest ion into the pre-existing interstitial sites of a host crystal without destroying the framework — graphite taking lithium into its galleries, or a layered oxide taking it between metal-oxide sheets. A conversion reaction breaks and reforms the host structure entirely, as in lithium–sulfur where the whole S₈ ring is consumed. Conversion gives far higher capacity because every atom participates, but reversibility, volume change and dissolution are much harder to control.

Which single number best predicts whether an ion can work in a battery?+

Polarising power, roughly z/r². Taking lithium as 1.00, sodium is 0.55, magnesium 2.23 and aluminium 6.06. It predicts migration barrier, solvation strength and desolvation difficulty simultaneously, which is why multivalent chemistries with excellent theoretical capacity remain laboratory subjects. Ionic radius alone does not predict it — Mg²⁺ at 72 pm is smaller than Li⁺ at 76 pm and still fails.

Reviewed by

SG

Sahil Goyal

Co-founder, Wingzman

LinkedIn
SG

Sourabh Goyal

Co-founder, Wingzman

LinkedIn

The Periodic Table of the EV is an original educational series on the materials science of electric vehicles. All values are standard-condition literature figures for representative materials, not measured data from a specific product, and sources differ on several of them. Always verify against the specific material datasheet in use before making design, purchasing or certification decisions.