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Tc-99 beta shielding — range and bremsstrahlung

Technetium-99

Tc-99 · Technetium, Z = 43, A = 99

Technetium-99 (Tc-99) is slow enough to be handled as a material rather than as a trace: 6.34e+8 Bq/g, or 0.0171 Ci/g, puts a gigabecquerel at 1.58 g. Decay is by beta-minus decay, half-life 2.111 × 10⁵ years, and shedding even one per cent of the activity takes 3,061 years.

The beta endpoint is 0.297 MeV, mean 0.0846 MeV over 2 branches. That endpoint stops in 0.655 mm of acrylic or 0.309 mm of glass. Of the beta energy, 0.06% turns into X-rays in acrylic and 0.85% in lead.

Decay is the only handle: forty years leaves 99.99% of today's activity and ten thousand years leaves 96.77%, with ten half-lives at 2.11 million years and a mean life of 304,546 years per atom.

Half-life, specific activity and beta endpoint

Half-life2.111 × 10⁵ years (6.662e+12 s)
Decay modebeta-minus decay
Specific activity6.34e+8 Bq/g (0.0171 Ci/g)
Beta endpoint / mean0.297 MeV / 0.0846 MeV

0.655 mm of acrylic stops the 0.297 MeV endpoint

Katz–Penfold fit to the 0.297 MeV endpoint — ±10%, and a stopping thickness rather than an attenuation length. Why the material matters more than the thickness.

AbsorberRange for the endpoint (mm)
acrylic0.655
aluminum0.286
water0.773
glass0.309
Shield materialFraction of beta energy converted to X-rays
acrylic (Z ≈ 6)0.06%
lead (Z = 82)0.85%

Activity over geological time

Ten half-lives is 2.11 million years. On any timescale a facility can be planned over the activity is constant — 99.99% is left after forty years — and the mean life 1/λ is 304,546 years.

ElapsedFraction remaining
1 half-life50.0 %
2 half-lives25.0 %
5 half-lives3.13 %
10 half-lives0.0977 %
Time to fall to 10 % of today's activity701,244 years
Time to fall to 1 %1.40 million years
Time to fall to 0.1 %2.10 million years

Limits of these range figures

Beta and decay calculators for Tc-99

Other Technetium nuclides: Tc-99m

Computed from the IAEA Nuclear Data Section — Livechart API (ENSDF) and the NIST X-Ray Mass Attenuation Coefficients. Derivations and citations.