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Y-91 beta shielding — range and bremsstrahlung

Yttrium-91

Y-91 · Yttrium, Z = 39, A = 91

At 9.08e+14 Bq/g — 2.45e+4 Ci/g — a gigabecquerel of Y-91 amounts to 1.10 µg, which is why activity rather than mass is how anyone states the quantity. Yttrium-91 decays by beta-minus decay with a half-life of 58.51 days, falling to 70.09% of today's activity in a month and 1.32% in a year.

The beta endpoint is 1.54 MeV, mean 0.603 MeV over 2 branches. That endpoint stops in 5.95 mm of acrylic or 2.81 mm of glass. Of the beta energy, 0.32% turns into X-rays in acrylic and 4.43% in lead.

Decay is the only handle: a month leaves 70.09% of today's activity and a year leaves 1.32%, with ten half-lives at 1.60 years and a mean life of 84.4 days per atom.

Half-life, specific activity and beta endpoint

Half-life58.51 days (5.055e+6 s)
Decay modebeta-minus decay
Specific activity9.08e+14 Bq/g (2.45e+4 Ci/g)
Beta endpoint / mean1.54 MeV / 0.603 MeV

5.95 mm of acrylic stops the 1.54 MeV endpoint

Katz–Penfold fit to the 1.54 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)
acrylic5.95
aluminum2.60
water7.02
glass2.81
Shield materialFraction of beta energy converted to X-rays
acrylic (Z ≈ 6)0.32%
lead (Z = 82)4.43%

Activity over months and years

Ten half-lives is 1.60 years — a storage problem rather than a disposal one, with 1.32% of today's activity still there after a year. The mean life 1/λ is 84.4 days.

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 activity194 days
Time to fall to 1 %1.06 years
Time to fall to 0.1 %1.60 years

Limits of these range figures

Beta and decay calculators for Y-91

Other Yttrium nuclides: Y-88, Y-88m1, Y-88m2, Y-90, Y-90m

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