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Table 11 Model-derived rates of diffusional flux FRa as a function of the effective diffusion length \(\varvec{ }(\phi^{\varvec{*}} \varvec{ }\sqrt {D_{m} /\lambda }\)) for radium isotopes

From: Water–rock interactions in the Bruchsal geothermal system by U–Th series radionuclides

Decay

\(\phi^{\varvec{*}} \varvec{ }\sqrt {D_{m} /\lambda } (cm)\)

FRa (atoms cm−2 s−1)

230Th → 226Ra

69

1.3 × 10−1

232Th → 228Ra

4.2

2.9 × 10−2

227Th → 223Ra

0.3

3.5 × 10−4

228Th → 224Ra

0.2

5.3 × 10−3