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Sm-Nd Isotope System

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Trace Element GeochemistryRb-Sr Isotope SystemCrustal Evolution and GeochemistryMantle Geochemistry
Sm-Nd radiogenic-isotopes epsilon-Nd model-ages

Core Idea

The Sm-Nd system is based on the alpha decay of 147Sm to 143Nd (half-life 106 Gyr). Because both Sm and Nd are light rare earth elements with very similar geochemical behavior, Sm/Nd fractionation during geological processes is small but systematic: partial melting preferentially concentrates the lighter Nd over the slightly heavier Sm in the melt, giving the crust lower Sm/Nd (and therefore lower time-integrated 143Nd/144Nd) than the residual mantle. Epsilon-Nd notation expresses 143Nd/144Nd as deviations from a chondritic reference (CHUR): positive epsilon-Nd indicates a depleted-mantle source; negative epsilon-Nd indicates enriched or crustal source. The Sm-Nd system is resistant to metamorphic resetting and provides robust constraints on crust-mantle differentiation, mantle source heterogeneity, and crustal residence ages.

Explainer

The Sm-Nd system is the definitive tracer of crust-mantle differentiation because it directly records the fractionation between two elements that are separated only during major silicate melting events. Unlike Rb-Sr (where Rb and Sr have very different chemistry and are easily disturbed), Sm and Nd behave almost identically in all processes except partial melting of silicates.

The epsilon-Nd notation makes the system intuitive. CHUR (Chondritic Uniform Reservoir) represents the undifferentiated bulk Earth composition. Epsilon-Nd = [(143Nd/144Nd-sample)/(143Nd/144Nd-CHUR) - 1] x 104. Positive values mean the source has evolved with higher Sm/Nd than CHUR (depleted mantle, from which crust has been extracted). Negative values mean the source has evolved with lower Sm/Nd (continental crust or enriched mantle). The depleted mantle today has epsilon-Nd of approximately +8 to +12; old continental crust ranges from -10 to -40.

Epsilon-Nd vs 87Sr/86Sr plots (mantle arrays) are one of the most powerful discrimination tools in igneous petrology. Depleted mantle plots at high epsilon-Nd, low 87Sr/86Sr; continental crust plots at low epsilon-Nd, high 87Sr/86Sr. Mantle sources enriched by subducted sediment, metasomatism, or recycled oceanic crust plot in characteristic positions on this diagram, enabling identification of mantle source components in ocean island basalts, arc volcanics, and continental magmas.

Nd model ages (T-DM and T-CHUR) calculate when a sample's Nd isotopic composition intersects the depleted mantle or chondritic evolution curves, respectively. These are interpreted as crustal extraction ages -- the time when new continental crust was generated from the mantle. Global compilations of Nd model ages reveal episodic crustal growth, with major peaks at ~2.7, 1.9, and 1.1 Ga corresponding to supercontinent assembly events. This makes the Sm-Nd system a fundamental tool for understanding the growth and evolution of continental crust through Earth history.

Practice Questions 3 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 EquilibriumStatistical Mechanics: Ensembles and the Boltzmann DistributionPartition Function: Definition and PropertiesThe Canonical Partition Function and Thermodynamic DerivationFree Energy and Thermodynamic Relations from Partition FunctionsLegendre Transformations and Thermodynamic PotentialsChemical Potential and Partial Molar PropertiesPhase Equilibrium and Coexistence ConditionsClausius-Clapeyron EquationPhase Diagrams and Clausius-Clapeyron EquationChemical Potential and Thermodynamic EquilibriumGeochemical ThermodynamicsTrace Element GeochemistryRb-Sr Isotope SystemSm-Nd Isotope System

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