1 Introduction
2 Modeling of Radiogenic Heating
2.1 Model for Radiogenic Heating of Irradiated Target in Cylindrically-Symmetric Gamma Irradiation Configuration
2.2 Estimating the Linear Attenuation Coefficient
2.3 Application of the Model to Sanchez et al. (2018)
\(f_{0}\)
| \(Q_{\gamma }\) (W) | \(T_{sp}\) (K) | ||||
---|---|---|---|---|---|---|
(104 Gy/h) | (W/kg) | Modeled | Measured | Square of error | Square | |
1.9 | 5.4 | 1.7 | 355 | 349 | 32 | 11,524 |
4.7 | 13.1 | 4.2 | 397 | 374 | 551 | 6798 |
6.6 | 18.4 | 5.9 | 421 | 397 | 566 | 3534 |
13.6 | 37.7 | 12.0 | 483 | 442 | 1666 | 203 |
25.2 | 70.0 | 22.3 | 552 | 528 | 556 | 5206 |
37.0 | 102.8 | 32.8 | 603 | 648 | 2010 | 36,615 |
Average | 456 | |||||
Sum | 5380 | 63,880 | ||||
r-squared | 0.92 |
3 Rates of Radiolysis
3.1 Kontani et al. (2013)
3.2 Kontani et al. (2010)
3.3 Kelly et al. (1969) and Gray (1972)
3.4 Results
Conditioning temperature (°C) | Exposure temperature (°C) | \(f_{0}\) (102 Gy/h) | Replicates | \(K_{r,s}\) (10−10 Gy−1) | \(K_{r,l}\) (10−10 Gy−1) |
---|---|---|---|---|---|
Kontani et al. (2013) | Per (16) | Per (20) | |||
120 | 60 | 83.9 | 2 | 0.82, 0.82 | |
120 | 60 | 42.8 | 2 | 0.64, 0.86 | |
120 | 60 | 9.2 | 2 | 0.67, 0.69 | |
120 | 40 | 42.8 | 2 | 0.79, 0.86 | |
120 | 40 | 9.2 | 2 | 0.49, 0.52 | |
120 | 25 | 9.2 | 2 | 0.20, 0.36 | |
40 | 60 | 82.3 | 2 | 0.82, 0.82a | 11, 12 |
40 | 60 | 42.7 | 2 | 0.75, 0.75a | 13, 13 |
40 | 60 | 9.3 | 2 | 0.68, 0.68a | 18, 17 |
40 | 40 | 42.7 | 2 | 0.82, 0.82a | 12, 13 |
40 | 40 | 9.3 | 2 | 0.51, 0.51a | 13, 13 |
40 | 25 | 9.3 | 2 | 0.28, 0.28a | 12, 11 |
Mean ± standard deviation | 0.64 ± 0.21 | 13 ± 2 | |||
Kontani et al. (2010) | Per (21) | Per (21) | |||
N/A | ~ 45 | 110 | 4 | 3.8, 2.3, 1.6, 1.5 | 13, 18, 20, 21 |
N/A | ~ 30 | 36 | 2 | 1.7, 0.59 | 5.0, 7.4 |
Mean ± standard deviation | 1.9 ± 1.1 | 14 ± 7 | |||
Per (25) | Per (24) | ||||
N/A | 20 | 500 | 1 | 0.19 | 3.8 |