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Ion-Selective Electrodes

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Potentiometry and Ion-Selective ElectrodesIon Channels and Selective Permeability MechanismsPotentiometry: pH and Ion-Selective Electrode Measurement
ISE glass electrode membrane potential Nernst equation selectivity coefficient pH electrode fluoride electrode

Core Idea

An ion-selective electrode (ISE) develops a potential across a membrane that responds preferentially to one target ion, allowing its activity (and, with appropriate calibration, concentration) to be measured potentiometrically. The glass pH electrode is the most familiar example: a thin glass membrane generates a potential proportional to the logarithm of H⁺ activity according to the Nernst equation. Other ISEs use crystalline membranes (fluoride electrode with LaF₃), liquid membranes (calcium electrode with organophosphate ionophore), or polymer membranes doped with selective ionophores. The selectivity coefficient quantifies how much an interfering ion contributes to the measured potential; a smaller coefficient means better selectivity for the target ion.

How It's Best Learned

Calibrate a fluoride ISE with a series of standards in TISAB (total ionic strength adjustment buffer), construct a Nernst plot of potential vs. log[F⁻], and then measure fluoride in a tap water sample. Observing the near-ideal 59.2/n mV slope and seeing how ionic-strength adjustment matters builds intuition for the technique's strengths and practical requirements.

Common Misconceptions

Explainer

From your study of potentiometry, you know that electrochemical cells can generate voltages that depend on the concentration (more precisely, the activity) of ions in solution. An ion-selective electrode exploits this principle by incorporating a membrane that responds preferentially to one specific ion. When target ions interact with the membrane — either by exchanging into it, binding to sites within it, or migrating through its crystal lattice — a potential difference develops across the membrane that is proportional to the logarithm of the ion's activity. This logarithmic relationship is described by the Nernst equation, which predicts a slope of 59.16/n mV per decade of activity change at 25°C, where n is the ion's charge.

The most familiar ISE is the glass pH electrode, which has been used for over a century. Its thin glass membrane contains metal oxide sites that selectively exchange hydrogen ions. When immersed in solution, H⁺ ions interact with the hydrated gel layer on the glass surface, and the resulting charge separation generates a potential that changes by approximately 59.2 mV for each unit change in pH. But the same principle applies to many other ions. A fluoride electrode uses a crystal of lanthanum fluoride (LaF₃) doped with europium — fluoride ions migrate through vacancies in the crystal lattice, and the resulting potential responds selectively to fluoride with a near-Nernstian slope of −59.2 mV per decade. Calcium and potassium electrodes use liquid or polymer membranes containing organic molecules called ionophores — molecules designed to wrap around a specific ion and carry it selectively across the membrane.

In practice, using an ISE requires careful attention to several factors. First, because ISEs measure activity rather than concentration, you must control the ionic strength of your standards and samples. This is typically accomplished by adding a total ionic strength adjustment buffer (TISAB) — a high-concentration inert salt that swamps the variable ionic strength of different samples, making the activity coefficient effectively constant. Second, calibration requires at least two standards spanning the expected concentration range, and the measured potential-versus-log-activity plot should yield a slope close to the theoretical Nernstian value. A slope significantly below theoretical indicates a tired or damaged membrane.

The key limitation is selectivity. The Nikolsky-Eisenman equation extends the Nernst equation to include the contribution of interfering ions, weighted by a selectivity coefficient (K). A selectivity coefficient of 10⁻³ for an interferent means that the interferent must be present at 1000 times the target ion's concentration to produce an equivalent potential change. This sounds impressive, but in real samples — seawater, blood, or industrial wastewater — interfering ions can easily reach concentrations that matter. Understanding the selectivity coefficients for your electrode and your sample matrix is essential for knowing when ISE results are trustworthy and when you need to choose a different technique.

Practice Questions 5 questions

Prerequisite Chain

Understanding ZeroThe Number ZeroCounting to FiveCounting to 10Counting to 20Counting a Set of Objects Up to 20Cardinality: The Last Number CountedMatching Numerals to QuantitiesSubitizing Small QuantitiesAddition Within 10Number Bonds to 10Addition Within 20Doubles and Near DoublesDoubles Facts Within 10Near Doubles Facts Within 20Mental Math Strategies for AdditionMental Math: Adding and Subtracting TensAddition Within 100Repeated Addition as MultiplicationMultiplication as Equal GroupsMultiplication: ArraysBasic Multiplication Facts (0s, 1s, 2s, 5s, 10s)Multiplication Facts Within 100Division as Equal SharingDivision as Grouping (Measurement Division)Division: Grouping (Repeated Subtraction) ModelDivision: Fair Sharing ModelDivision as Equal SharingDivision as GroupingBasic Division FactsDivision Facts Within 100Multiplication and Division Fact FamiliesRelationship Between Multiplication and DivisionDivision Facts as Inverse of MultiplicationRemainders and Quotients in DivisionDivision Word ProblemsMulti-Step Word ProblemsSolving Multi-Step Word ProblemsMultiplication Word ProblemsDivision Word ProblemsIntroduction to Long DivisionFactors and MultiplesPrime and Composite NumbersEquivalent FractionsRelating Fractions and DecimalsDecimal Place ValueIntegers and the Number LineComparing and Ordering IntegersAbsolute ValueAdding IntegersSubtracting IntegersMultiplying IntegersDividing IntegersUnit RatesProportionsPercent ConceptConverting Between Fractions, Decimals, and PercentsOperations with Rational NumbersTwo-Step EquationsSolving Multi-Step EquationsEquations with Variables on Both SidesAngle Pairs: Complementary, Supplementary, and VerticalParallel Lines and TransversalsCorresponding AnglesAlternate Interior AnglesTriangle Angle Sum TheoremExterior Angle TheoremTriangle Inequality TheoremSimilar Triangles: AA SimilaritySimilar Triangles: SSS and SAS SimilarityProportions in Similar TrianglesRight Triangle Trigonometry IntroductionSine, Cosine, and Tangent RatiosTrigonometric Ratios ReviewRadian MeasureConverting Between Degrees and RadiansThe Unit CircleGraphing Sine and CosineGraphing Tangent and Reciprocal Trigonometric FunctionsDerivatives of Trigonometric FunctionsAntiderivativesIndefinite IntegralsBasic Integration RulesRiemann SumsDefinite Integral DefinitionDouble Integrals: Definition and SetupIterated Integrals and Fubini's TheoremDouble Integrals over Rectangular RegionsDouble Integrals over General RegionsApplications of Double Integrals: Area, Mass, and MomentsTriple Integrals in Cartesian CoordinatesTriple Integrals in Cylindrical and Spherical CoordinatesChange of Variables and the Jacobian DeterminantApplications of Triple Integrals: Volume and MassVector Fields and Their RepresentationsLine Integrals of Vector FieldsWork and CirculationLine Integrals of Scalar and Vector FunctionsFundamental Theorem for Line IntegralsConservative Vector FieldsConservative Vector Fields and Potential FunctionsCurl and Divergence of Vector FieldsCurl and DivergenceDivergence TheoremElectric Flux and Divergence TheoremGauss's Law: Integral Form and MeaningSolving Problems with Gauss's LawConductors in Electrostatic EquilibriumCapacitance and CapacitorsDielectricsDielectric Constant and Relative PermittivityElectric Field Inside Dielectric MaterialsDielectric Materials and PolarizationDielectric Susceptibility and PermittivityEnergy Density in Electric FieldsElectric Current and Current DensityElectrical Resistance and ResistivityOhm's Law and Circuit ElementsElectromotive Force (EMF) and BatteriesKirchhoff's Circuit Laws: Voltage and CurrentDC Circuit Network Analysis MethodsTransient Response in RC CircuitsRC CircuitsLC and RLC CircuitsAC Circuits: FundamentalsImpedance and ReactanceAC Power and ResonanceElectromagnetic WavesPostulates of Special RelativityTime DilationLength ContractionLorentz TransformationRelativistic Velocity AdditionRelativistic Momentum and EnergyMass-Energy Equivalence and E=mc²Photons as Particles with Energy and MomentumPlanck-Einstein Relation: Energy and FrequencyPhotoelectric EffectThe Photon: Light as QuantaCompton ScatteringWave-Particle Dualityde Broglie WavelengthThe Schrödinger EquationState Vectors and WavefunctionsQuantum SuperpositionQuantum EntanglementBell Theorem and Bell InequalitiesPostulates of Quantum MechanicsObservables and Quantum OperatorsCommutators and Commutation RelationsQuantum Angular MomentumQuantum Mechanical Treatment of HydrogenSolving the Schrödinger Equation for Hydrogen AtomQuantum NumbersElectron ConfigurationPeriodic TrendsCovalent BondingElectronegativity and Bond PolarityIonic BondingLewis StructuresVSEPR Theory and Molecular GeometryMolecular Geometry and Electron Pair GeometryMolecular Polarity and Dipole MomentsIntermolecular ForcesStates of Matter and Phase Changes: Melting, Boiling, and SublimationGas Laws and the Ideal Gas EquationGas Stoichiometry and Volume-Volume CalculationsThermochemistry and EnthalpyHeat Capacity and CalorimetryEntropy and Molecular DisorderSpontaneity and ΔGEntropy and Gibbs Free EnergyChemical EquilibriumStability of Complex Ions and Formation ConstantsChelate Effect and Stability ConstantsReaction Mechanisms of Coordination Compounds (Substitution)Electron Transfer Reactions (Inner and Outer Sphere)Electroanalytical Methods OverviewPotentiometry and Ion-Selective ElectrodesIon-Selective Electrodes

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