Positron Emission Intensity in the Decay of 86gY for Use in Dosimetry Studies
Abstract
:1. Introduction
2. Experimental
2.1. Target Preparation and Irradiation
2.2. Measurement of Radioactivity
2.2.1. γ-ray Spectroscopy
- (a)
- Complete annihilation of the emitted positron. Each irradiated 86SrCO3 sample was placed in a Cu disk with a groove of 13-mm diameter and 1-mm depth, and covered with another Cu disk of the same size. Each Cu disk had a thickness of 5 mm and a diameter of 30 mm, which assured the annihilation of almost all positrons in the decay of 86gY.
- (b)
- A careful analysis of the γ-ray spectrum was carried out to determine the net area under the broad annihilation peak at 511 keV. A part of the neighboring peak at 515 keV, also emitted in the decay of 86gY overlapped the annihilation peak (cf. Figure 1). The net area of the peak at 511 keV, however, could be obtained using the FitzPeak gamma analysis software [32], which was able to isolate the overlapping part. Individual counts of the above two close peaks were also determined by the GammaVision analysis software and the results were comparable to that of the FitzPeak software. The sample was counted several times over two days and the peak area was found to decrease with a half-life of 14.7 ± 0.1 h.
- (a)
- Correction for the in-flight annihilation of the positron. For the positron energies encountered in the decay of 86gY, the net area of the peak at 511 keV in the measured spectrum was increased by a factor of 1.027. This factor was calculated following the method and in-flight annihilation probability in Cu as a function of positron energy of Dolley et al. [33] and the positron spectrum of 86gY obtained using the BetaShape code [34]. It may be mentioned here that the authors at the iThemba LABS in Cape Town [33] also demonstrated in detail that the radioactivity of a source could be quantitatively determined via assay of the annihilation radiation, provided proper precautions are taken.
- (b)
- The natural background around the annihilation radiation was subtracted. A measurement about two weeks and another one about one month after the irradiation were performed to determine some possible background around the annihilation peak from 87Y (t1/2 = 3.35 d) and 88Y (t1/2 = 106.6 d), which are expected to be formed in small amounts (<1% of the 86gY activity) via the 87Sr(p,n)87Y and 88Sr(p,n)88Y reactions, respectively, on 87Sr and 88Sr present in low-abundances in the enriched 86Sr target used (see Section 2.1). However, no increase above the natural background around the annihilation radiation was observed, obviously due to very weak positron branching (<0.2%) in both 87Y and 88Y [35].
- (c)
- The contribution to the annihilation radiation through pair production in the interaction of the strong γ-ray of 86gY at 1076.6 keV with the intervening medium was estimated to be negligible.
- (d)
- The presence of other radionuclides which emit radiation in the vicinity of the annihilation radiation, e.g., 85Y, 85Sr, 84Rb, and 83Rb, was minimized by using the incident proton energies of 8 and 7 MeV, which are below the thresholds of the proton-induced reactions on 86Sr leading to the formation of those radionuclides.
- (e)
- Besides the annihilation peak, four other strong γ-rays emitted in the decay of 86gY were also analyzed using the above-mentioned methodology. Furthermore, their peak areas were corrected for attenuation in Cu, which was determined experimentally by counting each source several times within and without the Cu disks. The averaged radiation transmission factor for many γ-rays of 86gY, except the annihilation line, was deduced. The transmission factor was also calculated using the classical radiation absorption formula. The agreement between experimental and calculated values was excellent.
2.2.2. X-ray Spectroscopy
- (a)
- Assessment of impurity. No X-rays of energies lower than those shown in Figure 2 were observed, suggesting the absence of any Sr or Rb radioisotopes whose decay product would be an element with Z lower than that of Sr. The same result was deduced from γ-ray spectroscopy described above.
- (b)
- Efficiency of the detector. The mean energy of all X-rays, derived from Kα and Kβ individual energies and respective intensities, amounted to 14.4 keV. Therefore, the efficiency of the detector at this energy was obtained using a standard 57Co source. The advantage is that 57Co emits a 14.4 keV γ-ray (intensity: 9.16%), where correction for probability of electron capture from the K-shell was not needed. Nonetheless, the detector efficiency vs. photon energy curve at the counting position was determined using the standard 57Co source and four other standard point sources, namely 93mNb, 210Pb, 133Ba, and 241Am, specifically dedicated to X-ray measurements (supplied by Eckert and Ziegler, Berlin, Germany, with uncertainty for each standard as 3%). The fitted efficiency curve gave exactly the same value at 14.4 keV as the individual efficiency obtained from the 57Co measurement.
2.3. Normalized Count Rate and Estimation of Uncertainties
3. Results and Discussion
3.1. Intensity of Positron Decay of 86gY
3.2. Intensity of Electron Capture Decay of 86gY
- (a)
- Comparison of X-ray and 1076.6 keV γ-ray activities. The X-ray count rate from the low-energy detector was corrected for the detector efficiency, the fluorescence yield (0.69 ± 0.02) [36] and the probability of decay via electron capture from the K-shell (PK = 0.88 ± 0.02) in 86gY decay. The PK was deduced from the calculated electron capture transition branching/intensity, IEC, for the 86Y decay data set presented in Reference [29] and their corresponding K-shell electron capture probability using the LogFT [37] and BetaShape codes [34]. Both gave consistent results. We also subtracted contribution to K X-ray (~0.5%) from the conversion electrons of the γ-ray transitions in the decay of 86gY. This contribution, resulting from the K-shell electron knock-out by the γ-ray transitions, was estimated using the γ-ray intensities and the conversion coefficient data for known/assumed γ-ray transition multipolarities given by Negret and Singh [29]. On the other hand, the 86gY activity was obtained from the count rate of the most intense 1076.6 keV γ-ray, determined using the well-calibrated detector, and corrected for the efficiency and the intensity. The EC intensity was then determined from the ratio of the X-ray counts to the γ-ray decay rate (Equation (2)).
- (b)
- Comparison of X-ray and 443.1 keV γ-ray activities in the same spectrum. The 86gY activity was determined from the count rate of the 443.1 keV γ-ray corrected for the efficiency and the intensity. It was considered ideal to determine the decay rate of 86gY via the 443.1 keV γ-ray visible in Figure 2 which is based on the use of the same detector for X-rays and this γ-line. However, due to the closeness of the sample to the detector a small correction for the true coincidence summing was necessary. The EC intensity was then determined from the ratio of the above corrected counts of X-ray to the γ-ray decay rate (Equation (2)).
- (c)
- Comparison of X-ray counts to the annihilation peak at 511 keV. In both cases, intensities were not used. The X-ray and 511 keV annihilation photons were counted using different detectors (see above), but the normalized count rate of 86gY in each measurement was extrapolated to end of bombardment (EOB). The normalized count rates thus obtained corresponded practically to the absolute disintegration rates except for correction for the intensity of the counted radiation. The activity obtained from the X-ray was divided by the sum of X-ray and 511 keV annihilation photon, and the EC intensity was calculated using Equation (3). A comparison of the X-ray counts with the 511-keV counts, however, implies that all decay is via K capture and there is either no or only negligible internal conversion.
3.3. Comparison of Present Results with Literature Data
4. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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A. Positron Emission | ||||
---|---|---|---|---|
Experiment | Activity of Annihilation Radiation at EOB (Normalized CPS) | Energy of γ-ray (keV) | Decay Rate of 86gY via γ-ray * at EOB (DPS) | β+ Intensity (%) |
1 | 128,800 | 443.1 | 488,801 | 26.35 |
627.7 | 457,987 | 28.12 | ||
1076.6 | 458,362 | 28.10 | ||
1153.1 | 464,978 | 27.70 | ||
2 | 94,889 | 443.1 | 365,691 | 25.95 |
627.7 | 351,112 | 27.03 | ||
1076.6 | 356,263 | 26.63 | ||
1153.1 | 352,808 | 26.90 | ||
Average β+ intensity (%): 27.1 ± 1.9 †† | ||||
B. Electron Capture | ||||
Experiment | Activity of X-ray at EOB (Normalized CPS) | EC Estimated via Annihilation Radiation (%) | EC Estimated via 1076.6 keV γ-ray Radiation (%) | EC Estimated via 443.1 keV γ-ray Radiation † (%) |
1 | 331,601 | 72.0 | 72.4 | 73.5 |
2 | 255,296 | 72.9 | 71.7 | 73.3 |
Average EC (%): 72.6 ± 5.2 †† |
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Uddin, M.S.; Qaim, S.M.; Scholten, B.; Basunia, M.S.; Bernstein, L.A.; Spahn, I.; Neumaier, B. Positron Emission Intensity in the Decay of 86gY for Use in Dosimetry Studies. Molecules 2022, 27, 768. https://doi.org/10.3390/molecules27030768
Uddin MS, Qaim SM, Scholten B, Basunia MS, Bernstein LA, Spahn I, Neumaier B. Positron Emission Intensity in the Decay of 86gY for Use in Dosimetry Studies. Molecules. 2022; 27(3):768. https://doi.org/10.3390/molecules27030768
Chicago/Turabian StyleUddin, M. Shuza, Syed M. Qaim, Bernhard Scholten, M. Shamsuzzoha Basunia, Lee A. Bernstein, Ingo Spahn, and Bernd Neumaier. 2022. "Positron Emission Intensity in the Decay of 86gY for Use in Dosimetry Studies" Molecules 27, no. 3: 768. https://doi.org/10.3390/molecules27030768
APA StyleUddin, M. S., Qaim, S. M., Scholten, B., Basunia, M. S., Bernstein, L. A., Spahn, I., & Neumaier, B. (2022). Positron Emission Intensity in the Decay of 86gY for Use in Dosimetry Studies. Molecules, 27(3), 768. https://doi.org/10.3390/molecules27030768