Uranium-238 - Radium Series (or Uranium Series)

Radium Series (or Uranium Series)

The 4n+2 chain of 238U is commonly called the "radium series" (sometimes "uranium series"). Beginning with naturally occurring uranium-238, this series includes the following elements: astatine, bismuth, lead, polonium, protactinium, radium, radon, thallium, and thorium. All are present, at least transiently, in any uranium-containing sample, whether metal, compound, or mineral.

Nuclide Historic name (short) Historic name (long) Decay mode Half-life MeV Decay product
238U U Uranium α 4.468·109 a 4.270 234Th
234Th UX1 Uranium X1 β- 24.10 d 0.273 234mPa
234mPa UX2 Uranium X2 β- 99.84%
IT 0.16%
1.16 min 2.271
0.074
234U
234Pa
234Pa UZ Uranium Z β- 6.70 h 2.197 234U
234U UII Uranium two α 245500 a 4.859 230Th
230Th Io Ionium α 75380 a 4.770 226Ra
226Ra Ra Radium α 1602 a 4.871 222Rn
222Rn Rn Radon α 3.8235 d 5.590 218Po
218Po RaA Radium A α 99.98%
β- 0.02%
3.10 min 6.115
0.265
214Pb
218At
218At α 99.90%
β- 0.10%
1.5 s 6.874
2.883
214Bi
218Rn
218Rn α 35 ms 7.263 214Po
214Pb RaB Radium B β- 26.8 min 1.024 214Bi
214Bi RaC Radium C β- 99.98%
α 0.02%
19.9 min 3.272
5.617
214Po
210Tl
214Po RaC' Radium C' α 0.1643 ms 7.883 210Pb
210Tl RaC" Radium C" β- 1.30 min 5.484 210Pb
210Pb RaD Radium D β- 22.3 a 0.064 210Bi
210Bi RaE Radium E β- 99.99987%
α 0.00013%
5.013 d 1.426
5.982
210Po
206Tl
210Po RaF Radium F α 138.376 d 5.407 206Pb
206Tl β- 4.199 min 1.533 206Pb
206Pb stable

The mean lifetime of 238U is 1.41×1017 seconds divided by 0.693 (or multiplied by 1.443), i.e. ca. 2×1017 seconds, so 1 mole of 238U emits 3×106 alpha particles per second, producing the same number of thorium-234 (Th-234) atoms. In a closed system an equilibrium would be reached, with all amounts except for lead-206 and 238U in fixed ratios, in slowly decreasing amounts. The amount of Pb-206 will increase accordingly while that of 238U decreases; all steps in the decay chain have this same rate of 3×106 decayed particles per second per mole 238U.

Thorium-234 has a mean lifetime of 3×106 seconds, so there is equilibrium if one mole of 238U contains 9×1012 atoms of thorium-234, which is 1.5×10−11 mole (the ratio of the two half-lives). Similarly, in an equilibrium in a closed system the amount of each decay product, except the end product lead, is proportional to its half-life.

As already touched upon above, when starting with pure 238U, within a human timescale the equilibrium applies for the first three steps in the decay chain only. Thus, for one mole of 238U, 3×106 times per second one alpha and two beta particles and gamma ray are produced, together 6.7 MeV, a rate of 3 µW. Extrapolated over 2×1017 seconds this is 600 gigajoules, the total energy released in the first three steps in the decay chain.


Lighter:
uranium-237
uranium-238 is an
isotope of uranium
Heavier:
uranium-239
Decay product of:
plutonium-242 (α)
protactinium-238 (β-)
Decay chain
of uranium-238
Decays to:
thorium-234 (α)

Read more about this topic:  Uranium-238

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