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3-6: Uranium Thorium dating While radiocarbon dating is limited to about <50 000 y and the 40 K- 40 Ar dating method is limited to volcanic material and also used to be limited to samples of more than 100 000 y of age, the Uranium Thorium method is an alternative approach to extend the radiocarbon dating range to 1 000 000 y in time. uranium thorium

3-6: Uranium Thorium datingnsl/Lectures/phys178/pdf/chap3_6.pdf · 3-6: Uranium Thorium dating While radiocarbon dating is limited to about

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Page 1: 3-6: Uranium Thorium datingnsl/Lectures/phys178/pdf/chap3_6.pdf · 3-6: Uranium Thorium dating While radiocarbon dating is limited to about

3-6: Uranium Thorium datingWhile radiocarbon dating is limited to about <50 000 y and

the 40K-40Ar dating method is limited to volcanic material andalso used to be limited to samples of more than 100 000 y of age, the Uranium Thorium method is an alternative approach

to extend the radiocarbon dating range to 1 000 000 y in time.

uranium thorium

Page 2: 3-6: Uranium Thorium datingnsl/Lectures/phys178/pdf/chap3_6.pdf · 3-6: Uranium Thorium dating While radiocarbon dating is limited to about

Uranium Thorium decay chains

238UT1/2=4.47·109y

234UT1/2=2.46·105y

230ThT1/2=7.54·104y

Four naturaldecay chains;the 238U decaychain seems

suitable for agedetermination.

Page 3: 3-6: Uranium Thorium datingnsl/Lectures/phys178/pdf/chap3_6.pdf · 3-6: Uranium Thorium dating While radiocarbon dating is limited to about

The growth of daughter isotopes

Over the natural abundance (e.g. 0.005% for 234U)

Page 4: 3-6: Uranium Thorium datingnsl/Lectures/phys178/pdf/chap3_6.pdf · 3-6: Uranium Thorium dating While radiocarbon dating is limited to about

Uranium-Thorium clockworkUranium-Thorium dating is an absolute dating technique

which uses the properties of the radio-active half-life of thetwo alpha emitters 238U and 230Th. The half-life of 238U is T1/2=4,470,000,000 y. The half-life of 230Th is comparablyshort, only T1/2=75,380 y. When the amounts of uranium and thorium are compared an accurate estimation of the age of an object can be obtained. This method can onlybe applied to objects which initially had no 230Th content.

( )t

t

eUU

eUTh

⋅−−

⋅−

−⋅

−⋅

−+

+−=

)(238

234

234230

230

238

230

234230

230

11

)1(

λλ

λ

λλλ

Page 5: 3-6: Uranium Thorium datingnsl/Lectures/phys178/pdf/chap3_6.pdf · 3-6: Uranium Thorium dating While radiocarbon dating is limited to about

Daughter Activities I

If a radioactive isotope N1 decays to a radioactive daughterisotope N2 the emerging abundances depend on the decay constants λ1 and λ2.

( )tt eetNtN ⋅−⋅− −⋅−

⋅== 21

12

112 )0()( λλ

λλλ

If the parent is very long-lived: λ1 << λ2.

( ))()0(

1)0()(

11

2

112

2

tNtNwith

etNtN t

≈=

−⋅⋅=≈ ⋅−λ

λλ

Page 6: 3-6: Uranium Thorium datingnsl/Lectures/phys178/pdf/chap3_6.pdf · 3-6: Uranium Thorium dating While radiocarbon dating is limited to about

Example of GrowthAssume you have 1 g of 238U, calculate the amount of 234U after 100,000 years

16100000

1046.22ln

9

521

2123

238

1046.22ln

9

5

1046.22ln

5

9

1041.311047.41046.21053.2)(

1053.223810023.61

11047.41046.2)()(

1

1046.22ln1047.42ln

)()(

5

234

5

238234

5

238234

⋅=

−⋅

⋅⋅

⋅⋅≈

⋅≡⋅

−⋅

⋅⋅

⋅≈

−⋅

⋅⋅≈

⋅⋅

⋅⋅

⋅⋅

etN

Ug

etNtN

etNtN

U

t

UU

t

UU

238UT1/2=4.47·109y

234UT1/2=2.46·105y

230ThT1/2=7.54·104y

Page 7: 3-6: Uranium Thorium datingnsl/Lectures/phys178/pdf/chap3_6.pdf · 3-6: Uranium Thorium dating While radiocarbon dating is limited to about

Daughter Activities IIIf the parent is longer lived: λ1 < λ2.

( )tetNtN ⋅−−−⋅⋅≈ )(

2

112

121)()( λλ

λλ

Ratio N2/N1 reaches an equilibrium value!230Th/234U≈0.3

)()(26.3

)()(

)()(

)()(

234

230

234

230

234

230

234

230234

230

UNThN

UAThA

UNThN

UAThANA

⋅=

⋅=

⋅=

λλ

λ

Page 8: 3-6: Uranium Thorium datingnsl/Lectures/phys178/pdf/chap3_6.pdf · 3-6: Uranium Thorium dating While radiocarbon dating is limited to about

Number Ratio for Thorium and Uranium Isotopes

0

0.2

0.4

0.6

0.8

1

0.E+00 2.E+05 4.E+05 6.E+05 8.E+05 1.E+06

time [years]

num

ber r

atio 234U/238U

(Normalized)

230Th/234U

Page 9: 3-6: Uranium Thorium datingnsl/Lectures/phys178/pdf/chap3_6.pdf · 3-6: Uranium Thorium dating While radiocarbon dating is limited to about

Equilibrium between U & Th Activities230Th/234U=0.8

→ ~160 000±5000 y

230Th/234U=0.98→ ~460 000±50 000 y

equilibrium level is reached after ~600 000 y. This limitsthe method to < 1 000 000 y.

Page 10: 3-6: Uranium Thorium datingnsl/Lectures/phys178/pdf/chap3_6.pdf · 3-6: Uranium Thorium dating While radiocarbon dating is limited to about

Analyzing TechniqueThere are various procedures which can be used with this dating technique. Until the mid 80ties alpha activity countingwas used. Subsequent to that Th/U mass spectrometry wasused which allowed higher sensitivity by mass separatingthe 238U, 234U and the 230Th atoms from chemically prepared sample. Processes are Isotope Dilution Mass Spectrometry (IDMS), Secondary Ion Mass Spectrometry (SIMS) and IDMS-Thermal Ionization Mass Spectrometry (TIMS). For any process there must be correction for Thorium-232, the common thorium which is not radioactive. Alternative method is gamma counting of 238U, 234U and 230Th (Eγ ≈ 50-60 keV)This method has the advantage that no pre-treatment ofsample is requires, but the counting efficiency is low 1%-10%.

Page 11: 3-6: Uranium Thorium datingnsl/Lectures/phys178/pdf/chap3_6.pdf · 3-6: Uranium Thorium dating While radiocarbon dating is limited to about

Ion microprobes

Page 12: 3-6: Uranium Thorium datingnsl/Lectures/phys178/pdf/chap3_6.pdf · 3-6: Uranium Thorium dating While radiocarbon dating is limited to about

Commercial Instruments

Page 13: 3-6: Uranium Thorium datingnsl/Lectures/phys178/pdf/chap3_6.pdf · 3-6: Uranium Thorium dating While radiocarbon dating is limited to about

Out of Africa

Page 14: 3-6: Uranium Thorium datingnsl/Lectures/phys178/pdf/chap3_6.pdf · 3-6: Uranium Thorium dating While radiocarbon dating is limited to about

New age estimates on China's "Nanjing Man" (classified as Homo erectus) scientists believe the fossils are around 600,000 years old. This is approximately 200,000 years older than originally thought. The dates are based on uranium/thorium dates on rocks above and below the fossils.The new dates indicate that migration of Homo Erectus from Africa to China began earlier than originally thought. Supporters of the multi-regional evolution hypothesis of modern human (Homo Sapiens) origins are indicating that the new dates support their hypothesis.

Example 1: Multi-regional or Mono-regional Evolution?

Page 15: 3-6: Uranium Thorium datingnsl/Lectures/phys178/pdf/chap3_6.pdf · 3-6: Uranium Thorium dating While radiocarbon dating is limited to about

Reliability and impact of data?Scientists dated rock material

below and above site. Previous U-Th dating (alpha counting) was done on tooth and bone

material it yielded 380 000 y with large uncertainties ±150 000 y!

Previous theory was that early homo erectus was driven to extinction by homo sapiens

immigrating out of Africa around 200 000 y ago. New data indicate

that they may not have met (orthe eastern homo erectus may have had more time to evolve.

Page 16: 3-6: Uranium Thorium datingnsl/Lectures/phys178/pdf/chap3_6.pdf · 3-6: Uranium Thorium dating While radiocarbon dating is limited to about

Uranium in Bone and RockReliable dating requires appreciable amount of initial 238U in sample material!

Living bone: <0.1 ppmFossil bone: 1-1000 ppm

Enrichment through rapid ground water absorption during exposure. No absorption of 230Th, thorium is insoluble in water. This can be checked with long-lived 232Th (T1/2=1.4·1010 y)!Enrichment rate may cause uncertainties for age determination.

Rock dating is based on constant 238U abundance values (environmental independent) for specific rock species.Mostly used for stalagmite dating (formed of Ca rich waterwith ~1000 ppm 238U content)

Page 17: 3-6: Uranium Thorium datingnsl/Lectures/phys178/pdf/chap3_6.pdf · 3-6: Uranium Thorium dating While radiocarbon dating is limited to about

Example 2: Gigantopithecus meets Homo Erectus

Gigantopithecus appeared in the fossil record about 6.3 million years ago and thrived in Southeast Asia for five and half million years. Early humans, Homo erectus, spread into Giganto's territory about 800,000 years ago. Within half a million years of the arrival of these early humans, Giganto had gone extinct. Is there scientific evidence of interaction?

Page 18: 3-6: Uranium Thorium datingnsl/Lectures/phys178/pdf/chap3_6.pdf · 3-6: Uranium Thorium dating While radiocarbon dating is limited to about

Contact with Humans

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Page 20: 3-6: Uranium Thorium datingnsl/Lectures/phys178/pdf/chap3_6.pdf · 3-6: Uranium Thorium dating While radiocarbon dating is limited to about

Habitat in South East Asia

Limestone tower at Liucheng was site for three jaw bones and > 1000 teeth.

Page 21: 3-6: Uranium Thorium datingnsl/Lectures/phys178/pdf/chap3_6.pdf · 3-6: Uranium Thorium dating While radiocarbon dating is limited to about

Recent findings in Tham Khuyen Cave in Vietnam

Age of specimens in cave has been determined to 475±125 ky

Hominoids are ~ 5% of ~2000 specimens.mostly teeth (difficultyto distinguish humanteeth from teeth of extinct speciesPongo Pygmaeus)

accumulations through fluvial processes.

Page 22: 3-6: Uranium Thorium datingnsl/Lectures/phys178/pdf/chap3_6.pdf · 3-6: Uranium Thorium dating While radiocarbon dating is limited to about

Big tooth, small teeth This result of 475 ky age,

together with similar find at

Longgupo cavedated to 1.5 Myage gives clearevidence that

Gigantopithecus& homo erectus

co-existed inSouth East Asia through the early

and the middlePleistocene formore than a million years.

both are dated to 475 000 y !

Gigantopithecuscanine

homo erectusmolars

Page 23: 3-6: Uranium Thorium datingnsl/Lectures/phys178/pdf/chap3_6.pdf · 3-6: Uranium Thorium dating While radiocarbon dating is limited to about

Coexistence Model between Gigantopithecus & Homo Erectus?

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Findings in the Longgupo Cave, China

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fossils and tools

Age comparable to Olduvai fossils;did homo erectus originate from Asiaor did he immigrate from Africa?

Page 26: 3-6: Uranium Thorium datingnsl/Lectures/phys178/pdf/chap3_6.pdf · 3-6: Uranium Thorium dating While radiocarbon dating is limited to about

Early Routes from Africa