Around a generation after Darwin, John Joly developed a new method to estimate the Earth's age, specifically the age of the oceans, by calculating the time it would take for the world's oceans to reach their current salinity. The premise is that the ultimate origin of ocean water is freshwater precipitation (rainwater). Over time, the erosion of rocks adds salts, primarily sodium chloride, to the oceans, making them progressively saltier. The average salinity of the world's oceans is approximately 35 parts per thousand.
Despite its apparent robustness, Joly's method was fundamentally flawed. It assumed that salt is continuously added to the oceans but never removed. In reality, geological processes actively remove salt from the oceans. For instance, the Strait of Gibraltar has repeatedly closed over geological time, isolating the Mediterranean Sea. High evaporation rates in this closed basin led to the complete drying up of the Mediterranean, depositing vast quantities of salt. Most of the world's commercially mined salt today (e.g., table salt, road salt) originates from such ancient geological deposits. Therefore, the oceans are not simply becoming saltier; there's a dynamic balance of salt input and removal, invalidating Joly's age estimate. We now know the Earth is approximately 4.5 billion years old, making Joly's estimate far too young.
William Thompson, later Lord Kelvin, a renowned British physicist known for his contributions to thermodynamics (which is why the Kelvin temperature scale is named after him), proposed another influential method for dating the Earth. His argument was primarily based on the Earth's geothermal gradient—the observation that temperature increases as one digs or drills deeper into the Earth's crust. Kelvin assumed that the Earth began as a molten mass and has been continuously cooling ever since.
Further refinements to Kelvin's parameters, notably by G.F. King (employed by the United States Geological Survey in the late 1800s), unfortunately pushed the estimated age to the lower end, around 24 million years. Most geologists found this figure wholly insufficient for geological processes, signaling a fundamental flaw in the calculation, though the exact error was not immediately apparent.
The critical flaw in Kelvin's model was its assumption of a continuously cooling Earth from an initial hot state without any internal heat generation. This assumption was overturned by the discovery of radioactivity.
Potassium-</p></li><li><p>Uranium−235</p></li><li><p>Uranium−238</p></li><li><p>Thorium−232(ThebiggestindividualcontributortoradioactiveheatproductionisPotassium−40.</p></li></ul><h4id="798e86f9−e47f−401b−8092−d14f3424c008"data−toc−id="798e86f9−e47f−401b−8092−d14f3424c008"collapsed="false"seolevelmigrated="true">RadiometricDating:Uranium−Lead(U−Pb)Method</h4><p>RadioactivitynotonlyinvalidatedKelvin′smodelbutalsoprovidedthemostaccuratemethodfordeterminingtheEarth′sage:radiometricdating.</p><h5id="09c34349−1883−48ca−a17b−a3afd65422a7"data−toc−id="09c34349−1883−48ca−a17b−a3afd65422a7"collapsed="false"seolevelmigrated="true">Principle</h5><p>BertramB.Boltwood,by1907,demonstratedthatnaturallyoccurringuraniummineralscouldbeusedtodetermineage.Whenthesemineralsform,theycontainessentiallypureuranium(oruraniumcompoundslikeuraniumphosphateandcalcium).Overtime,theunstableuraniumisotopesundergoradioactivedecay,transformingintostableleadisotopes.Therefore,atthetimeofformation,themineralconsistsof100 ext{%}uraniumandnolead.Astimepasses,theuraniumcontentdecreasesduetoitscharacteristichalf−life,whilethestabledaughterproduct,lead,simultaneouslyincreases.Byanalyzingtheratiooftheparenturaniumisotopestotheirstableleaddaughterisotopes,theageofthemineralcanbedetermined.</p><h5id="ed223953−77c0−400e−9b7c−f921894a3fc5"data−toc−id="ed223953−77c0−400e−9b7c−f921894a3fc5"collapsed="false"seolevelmigrated="true">DecaySeries</h5><p>TheprocessismorecomplexthanasimpleU
ightarrow Pbconversion,involvingmultipleintermediateradioactivedaughterproducts.Therearethreemainradioactivedecayseriescommonlyusedfordating:</p><ol><li><p><br>Thehalf−lifeofUranium−238 is extremely long, making it suitable for dating materials hundreds of millions to billions of years old.
Uranium-235 Series ($^{235} ext{U} ightarrow ^{207} ext{Pb}$): This series is faster decaying and important for nuclear applications.
Thorium-232 Series ($^{232} ext{Th} ightarrow ^{208} ext{Pb}$):
Both Uranium-235andThorium−232 also decay through their respective chains to stable lead isotopes ($^{207} ext{Pb}$ and $^{208} ext{Pb}$, respectively). All three decay series can be utilized by comparing the initial and final element ratios, often providing concordant dates from a single analysis.
Age of the Earth through Meteorites
The Uranium-Lead method works exceptionally well for very long timescales. While dating Earth rocks gave ages in the hundreds of millions up to a couple of billion years (as Earth's crust is continuously recycled), the definitive age of the Earth comes from analyzing meteorites. Meteorites are fragments of rock left over from the formation of the solar system, which have remained relatively undisturbed in space for billions of years. Radiometric dating of various meteorites consistently yields an age of approximately 4.5 billion years, representing the formation age of the solar system, and by extension, the Earth.
Radiometric Dating: Carbon-14 ($ ext{C-14}$) Method
Principle
Developed by Willard Libby (who earned the 1960NobelPrizeforhiswork),Carbon−14datingiscrucialfordatingmorerecenteventsandbiologicalmaterials.Carbon−14(aradioactiveisotopeofcarbon)iscontinuouslyformedintheEarth′satmospherethroughcosmicraybombardmentofnitrogenatoms.Thisproductionisbalancedbyitsradioactivedecay,leadingtoarelativelyconstantratiointheatmosphere:roughlyoneatomofCarbon−14foreverytrillionatomsofstableCarbon−12.Livingorganisms(plants,animals,andhumans)constantlyexchangecarbonwiththeatmospherethroughrespirationandconsumption,maintainingthisatmosphericC−14ratiointheirtissues,bones,andotherorganicmatter.Upondeath,theorganismceasestoexchangecarbon,andtheCarbon−14contentbeginstodecaywithoutreplenishment.</p><h5id="a31d5526−fe9d−489a−b66a−d93cec85f251"data−toc−id="a31d5526−fe9d−489a−b66a−d93cec85f251"collapsed="false"seolevelmigrated="true">DecayandHalf−Life</h5><p>Carbon−14undergoesradioactivedecaybacktoNitrogen−14 ($^{14} ext{N}$), emitting a beta particle. This decay is usually measured by counting radioactive disintegrations per minute per gram of carbon. The half-life of Carbon-14isrelativelyshort:5730years.Thismeansthatifabonehasbeendeadfor5730years,halfofitsoriginalCarbon−14willhavedecayed.Afteranother5730years(totaling11,460years),halfoftheremainingCarbon−14willdecay,andsoon.</p><h5id="d97012f7−bc64−4bef−ad28−e3040a43ec0a"data−toc−id="d97012f7−bc64−4bef−ad28−e3040a43ec0a"collapsed="false"seolevelmigrated="true">DatingRangeandLimitations</h5><p>Carbon−14datingishighlyeffectiveformaterialsrangingfromrecenttimesuptoabout40,000yearsold.Beyondthisperiod,theamountofremainingCarbon−14issominusculethatitbecomesimpracticaltomeasureaccurately.Therefore,materialolderthanapproximately40,000yearsiseffectivelyconsideredtohavean"infiniteage"byCarbon−14dating;forexample,a50,000−year−oldboneanda70million−year−olddinosaurbonewouldyieldthesamenegligibleCarbon−14signal.Thistechniqueisinvaluableforarchaeologicalandrecentgeologicaltimescales,applicabletoanynaturalcarbon−containingmateriallikebones,wood,andtissues.</p><h5id="4e2a8b08−519f−4704−8847−2a8c8e2cf380"data−toc−id="4e2a8b08−519f−4704−8847−2a8c8e2cf380"collapsed="false"seolevelmigrated="true">ComplicationsandCalibrations</h5><p>SeveralfactorsnecessitatecorrectionstorawCarbon−14dates:</p><ul><li><p><strong>VaryingAtmosphericCarbon−14:</strong>TheassumptionofaconstantstartingamountofCarbon−14intheatmosphereisnotentirelyaccurateovergeologicaltime.Calibrationcurves,derivedfrommaterialsofknownage(liketreerings),areusedtocorrectforthesepastfluctuations.</p></li><li><p><strong>The"BombSpike":</strong>Atmosphericnuclearweaponstesting,particularlyhydrogenbombtestsintheearly1960s(peakingin1963),dramaticallyincreasedatmosphericCarbon−14levels.Thisspike,whereCarbon−14concentrationbrieflydoubled,haspost−1963forensicutility.Forexample,itcanbeusedtodateelephanttusks(ivory)todetermineiftheypredatetheCITEStreatyof1966controllinginternationalivorytrade,thusassistinginidentifyingillegallypoachedivory.</p></li><li><p><strong>Earth′sMagneticField:</strong>VariationsinEarth′smagneticfieldovertimeinfluencetheamountofcosmicradiationreachingtheatmosphere,whichinturnaffectstheproductionrateofCarbon−14.Thesevariationsarealsoaccountedforincalibration.</p></li></ul><h3id="43ee6e10−c7f5−4879−ae46−72fd579254ee"data−toc−id="43ee6e10−c7f5−4879−ae46−72fd579254ee"collapsed="false"seolevelmigrated="true">DatingtheUniverse:Hubble′sLaw</h3><h4id="bda35358−9f91−4816−8b97−fd1b91ae3426"data−toc−id="bda35358−9f91−4816−8b97−fd1b91ae3426"collapsed="false"seolevelmigrated="true">TheExpandingUniverse</h4><p>EdwinHubble,intheearly20thcentury,madegroundbreakingobservationsusingtechniqueslikemeasuringredshift.Redshift,analogoustotheDopplereffectforsound(whereasiren′spitchchangesasanambulanceapproachesorrecedes),describeshowthelightfromdistantgalaxiesshiftstowardstheredendofthespectrum,indicatingtheyaremovingawayfromus.Hubbleobservedthatalmostallgalaxiesaremovingaway,andcrucially,thefartherawayagalaxyis,thefasteritrecedes.Thisdemonstratedthattheuniverseisexpanding.</p><h4id="fae848dc−b199−4142−8a8c−e465e7058b9c"data−toc−id="fae848dc−b199−4142−8a8c−e465e7058b9c"collapsed="false"seolevelmigrated="true">Hubble′sConstantandAgeoftheUniverse</h4><p>Iftheuniverseisexpanding,onecanextrapolatebackwardintimetoapointwhereallmatterandenergywereconcentratedinasinglelocation—theBigBang.TherateofthisexpansionisquantifiedbytheHubbleConstant(H_0),whichrelatesthedistanceofagalaxytoitsrecessionalvelocity.Hubble′sinitialcalculationfortheconstantwasapproximately58.5km/s/Mpc(kilometerspersecondpermegaparsec).</p><p>Asof2025,there′sasignificantchallengeinastrophysicsknownasthe"Hubbletension."DifferentmeasurementapproachesyieldconflictingvaluesfortheHubbleConstant:onesetofmethodsgivesavaluearound68km/s/Mpc,whileanothergivesavaluearound71km/s/Mpc.Thisdiscrepancyindicatesanunresolvedissueinourunderstandingoftheuniverse.Regardlessoftheprecisevalue,usingtheHubbleConstantallowsastronomerstoestimatetheageoftheuniverse,currentlycalculatedtobeapproximately13.8billionyears.</p><h3id="f30eba9d−7051−48f2−8e77−c25251aca589"data−toc−id="f30eba9d−7051−48f2−8e77−c25251aca589"collapsed="false"seolevelmigrated="true">TheGeologicalTimeScale</h3><p>TheEarth′shistoryisdividedintoacomprehensivegeologicaltimescale,oftenvisualizedasasinglestratigraphiccolumnsplitintosections.Thisscale,basedonvastamountsofradiometricdatingdata,categorizesEarth′shistoryintoeons,eras,periods,andepochs,markingsignificantgeological,climactic,andbiologicalevents.</p><h4id="bacf0223−5c1e−420e−93e7−c9e53cbc7be1"data−toc−id="bacf0223−5c1e−420e−93e7−c9e53cbc7be1"collapsed="false"seolevelmigrated="true">PrecambrianEon</h4><ul><li><p><strong>Duration:</strong>StartswiththeageoftheEarthatapproximately4.5billionyearsago(thoughtheoldestsurvivingrocksarecloserto4billionyearsold)andextendsto542millionyearsago.</p></li><li><p><strong>Significance:</strong>ThiseonrepresentsthevastmajorityofEarth′shistory(from4billiontohalfabillionyearsago).Thename"Precambrian"originatedfromDarwin′serawhenthefossilrecordwasthoughttobeginwiththeCambrianperiod,implyingnosignificantlifeformsbeforeit.Wenowknowthatmicrofossilsandearlycomplexlife(Ediacaranbiota)existedduringthistime,atopiccoveredinmoredetailinsubsequentlectures.</p></li></ul><h4id="157a2b12−5092−4a1f−ba9b−b1fa896058af"data−toc−id="157a2b12−5092−4a1f−ba9b−b1fa896058af"collapsed="false"seolevelmigrated="true">PhanerozoicEon:ErasofLife</h4><p>ThePhanerozoicEon,encompassingthelast542millionyears,isdividedintothreemajoreras,eachcharacterizedbydistinctlifeformsandmajorevents:</p><h5id="cb100706−cf0f−4784−ae13−e8a2fc4445a2"data−toc−id="cb100706−cf0f−4784−ae13−e8a2fc4445a2"collapsed="false"seolevelmigrated="true">1.PaleozoicEra("AncientLife")</h5><ul><li><p><strong>Duration:</strong>From542millionyearsagoto250millionyearsago.</p></li><li><p><strong>KeyEvent:</strong>Beginswiththe"CambrianExplosion,"aperiodofrapiddiversificationandappearanceofmostmajoranimalphyla.</p></li><li><p><strong>Periods:</strong>Cambrian,Ordovician,Silurian,Devonian,Carboniferous,Permian.</p></li></ul><h5id="fbefb6fb−6470−4cd6−8f24−cd793e6d54cf"data−toc−id="fbefb6fb−6470−4cd6−8f24−cd793e6d54cf"collapsed="false"seolevelmigrated="true">2.MesozoicEra("MiddleLife")</h5><ul><li><p><strong>Duration:</strong>From250millionyearsagoto65millionyearsago.</p></li><li><p><strong>KeyEvent:</strong>Knownasthe"AgeofDinosaurs."Endsabruptly65millionyearsagowithamajorupheaval—theasteroidimpactthatcausedtheextinctionofthedinosaursandmanyotherspecies.</p></li><li><p><strong>Periods:</strong>Triassic,Jurassic,Cretaceous.</p></li></ul><h5id="9157af3b−bbea−4086−b10c−222638c66613"data−toc−id="9157af3b−bbea−4086−b10c−222638c66613"collapsed="false"seolevelmigrated="true">3.CenozoicEra("RecentLife")</h5><ul><li><p><strong>Duration:</strong>From65$$ million years ago to the present day.
Key Event: Follows the dinosaur extinction, allowing for the diversification of mammals and birds. This era continues to the present day. The transitions between these major eras often correspond to significant geological upheavals and mass extinction events, indicating profound changes in Earth's environment and biosphere.