Strontium-89
Sr-89 · Strontium, Z = 38, A = 89
At 1.07e+15 Bq/g — 2.90e+4 Ci/g — a gigabecquerel of Sr-89 amounts to 930 ng, which is why activity rather than mass is how anyone states the quantity. Strontium-89 decays by beta-minus decay with a half-life of 50.563 days, falling to 66.28% of today's activity in a month and 0.67% in a year.
The air kerma rate constant is small — 0.0000113 mGy·m²/(GBq·h), 7.0e+3× less than Cs-137 and 2.8e+4× less than Co-60, ranking 89 of 96 by Γ — near the bottom of the photon emitters, but above the cutoff, which 51 nuclides in this dataset are not. 1 GBq at 1 m reads 0.0000113 mGy/h, and 1 Ci at the same distance 0.000417 mGy/h. It takes 1.77 TBq at a metre to reach 20 µSv/h from the photons alone.
One line at 909.0 keV carries all of that.
This is a shield that has to be designed: 7.82 mm of lead for a factor of two and 26.0 mm for a factor of ten, or 14.0 mm of steel to halve it, at which point the mass of the shield is part of the problem. At 1 GBq and a metre it is already under 20 µSv/h with nothing in the way.
The beta endpoint is 1.50 MeV, mean 0.587 MeV over 2 branches. That endpoint stops in 5.75 mm of acrylic or 2.71 mm of glass. Of the beta energy, 0.32% turns into X-rays in acrylic and 4.31% in lead.
Half-life, specific activity, dose rate and beta energies
| Half-life | 50.563 days (4.369e+6 s) |
| Decay mode | beta-minus decay |
| Specific activity | 1.07e+15 Bq/g (2.90e+4 Ci/g) |
| Air kerma rate constant Γ (δ = 20 keV) | 0.0000113 mGy·m²/(GBq·h) |
| Dose rate, 1 GBq at 1 m | 0.0000113 mGy/h |
| Dose rate, 1 Ci at 1 m | 0.000417 mGy/h |
| Kerma-weighted mean photon energy | 909.0 keV |
| Beta endpoint / mean | 1.50 MeV / 0.587 MeV |
A single photon line at 909 keV
No recorded line for Sr-89 falls below the 20 keV cutoff, so this table is the whole photon spectrum. Why the two columns rank differently.
| Energy (keV) | Emission probability (%) | Share of dose rate (%) |
|---|---|---|
| 908.96 | 0.00956 | 100.00 |
7.82 mm of lead halves this spectrum
Solved numerically across all 1 line, narrow beam. Why not one representative energy.
| Material | HVL (mm) | TVL (mm) | TVL / HVL |
|---|---|---|---|
| lead | 7.82 | 26.0 | 3.32 |
| tungsten | 4.99 | 16.6 | 3.32 |
| iron | 14.0 | 46.5 | 3.32 |
| copper | 12.5 | 41.5 | 3.32 |
| concrete | 44.3 | 147 | 3.32 |
| water | 93.7 | 311 | 3.32 |
| aluminum | 39.9 | 133 | 3.32 |
A single energy would give 3.32. What a spread of energies does instead.
5.75 mm of acrylic stops the 1.50 MeV endpoint
Katz–Penfold fit to the 1.50 MeV endpoint — ±10%, and a stopping thickness rather than an attenuation length. Why the material matters more than the thickness.
| Absorber | Range for the endpoint (mm) |
|---|---|
| acrylic | 5.75 |
| aluminum | 2.51 |
| water | 6.78 |
| glass | 2.71 |
| Shield material | Fraction of beta energy converted to X-rays |
|---|---|
| acrylic (Z ≈ 6) | 0.32% |
| lead (Z = 82) | 4.31% |
Activity over months and years
Ten half-lives is 1.38 years — a storage problem rather than a disposal one, with 0.67% of today's activity still there after a year. The mean life 1/λ is 72.9 days.
| Elapsed | Fraction remaining |
|---|---|
| 1 half-life | 50.0 % |
| 2 half-lives | 25.0 % |
| 5 half-lives | 3.13 % |
| 10 half-lives | 0.0977 % |
| Time to fall to 10 % of today's activity | 168 days |
| Time to fall to 1 % | 336 days |
| Time to fall to 0.1 % | 1.38 years |
Limits of these dose rates
- 0.0000113 mGy/h at a metre — bare point source, no capsule, no self-absorption.
- 7.82 mm of lead halves this spectrum, narrow beam, scatter not added back.
- 5.75 mm of acrylic for the 1.50 MeV endpoint: a ±10% fit, and not a skin dose.
- What every sheet leaves out, internal dose included.
Gamma, beta and decay calculators for Sr-89
- Gamma dose rate and shielding
- Beta dose rate and shielding
- Decay and half-life
- Mass and activity
- Detection limits (MDA / MDC)
Other Strontium nuclides: Sr-85, Sr-85m, Sr-90
Computed from the IAEA Nuclear Data Section — Livechart API (ENSDF) and the NIST X-Ray Mass Attenuation Coefficients. Derivations and citations.