Title: Evaluation the relative emission probabilities for 56Co and 66Ga
1Evaluation the relative emission probabilities
for 56Co and 66Ga
- Yu Weixiang Lu Hanlin Huang Xiaolong
- China Nuclear Data Center
- China Institute of Atomic Energy,
- P.O. Box 275(41), Beijing 102413,
China - e-mail huang_at_ciae.ac.cn
2Measurement
- A 136cm3 coaxial Ge(Li) detector connected to an
ORTEC-919 data acquisition system operating on a
PC is used in present work. Spectra were recorded
by the front face of the detector 17.5cm far from
the source
3Full-energy peak efficiency
- In the energy range from 100 to 2754keV, the
primary standard radioactive sources with
well-known activities were used to calibrate the
absolute efficiencies of Ge(Li) detector. For
example 24Na, 60Co, 54Mn, 65Zn, 137Cs and 133Ba
were used to calibrate the efficiency curve in
this region. At the same time, a mixed
125Sb154Eu155Eu multi-energy source produced by
National Institute of Standards Technology
(NIST) with uncertainties in 0.6-1.3 was used. - The I? values used in the calibration were taken
from the Table of Isotopes, Eighth Edition. The
uncertainties (one standard deviation) of these
sources are about 0.6-1.3. The uncertainties of
full-energy peak efficiency curve are about 1-2
in this region.
4Full-energy peak efficiency
- Above 2754keV, there are no radioactive sources
suitable for efficiency calibration. Therefore,
nuclear reactions are commonly used. In present
work, the efficiency curve is obtained by the
calculated results using the EGS4 M-C code above
2754MeV, and calibrated at 6.13MeV using
19F(p,??)16O reaction at resonance energy point
Ep340keV. -
5Full-energy peak efficiency
6Full-energy peak efficiency
7Measurement
- By using the efficiency curve measured above,the
new relative intensities were determined for the
emitted ?-rays of 56Co and 66Ga. The final
results are presented in Table 2 and 3,
respectively. - Its noted that our measurements are about 2
lower than other new measurements in high energy
range.
8Measured relative ?-ray intensities for 56Co
9Measured relative ?-ray intensities for 66Ga
10Standards ?-ray emission probabilities for
14N(n,?)15N reaction
- The main measurements of the ?-ray emission
probabilities for 14N(n,?)15N reaction are
T.J.Kennett et al., E.T.Jurney et al., H.Takayama
and T.Belgya. The main difference among these
measurements are from the level scheme. For
example, the levels are 15, 19, 19 and 17,
respectively and ?-rays are 28, 58, 64 and 55,
respectively corresponding to these measurements.
- Fig. 3 shows the comparison of the ?-ray emission
probabilities. Its easy to find that the
measurements of H.Takayama and E.T.Jurney et al.
are in good agreement in 1.7-6MeV energy region.
But the ratio of the ?-ray emission probabilities
for Kennett/Jurney and Belgya/Jurney are exactly
reverse(see Fig.4).
11Standards ?-ray emission probabilities for
14N(n,?)15N reaction
12Standards ?-ray emission probabilities for
14N(n,?)15N reaction
13Standards ?-ray emission probabilities for
14N(n,?)15N reaction
- From Fig.4 its easy to find that the
measurements of Kennett are higher about 1.2 to
3.7 than Jurneys in 2.54MeV and 68MeV range.
To average of these two measurements simplely is
not suitable for the standard for detector
efficiency calibration. - About 58 ?-rays were observed in the measurements
of Jurney, but only 30 ?-rays of Kennett. In
order to keep the intensity balance(?I?(in-out)),
the measured ?-ray emission probabilities of
Kennett should be higher than Jurneys. - We think that the ?-ray emission probabilities of
Jurney are better than Kennett because the level
scheme of Jurney is reasonable and complete.
14Correction
- G.Molnar calibrated the detector efficiency curve
using 14N(n,?)15N reaction, in which their ?-ray
emission probabilities were from the measurements
of T.J.Kennett et al. - S.Raman calibrated the detector efficiency curve
using 14N(n,?)15N reaction, in which their ?-ray
emission probabilities were from the average of
measurements of T.J.Kennett et al. and E.T.Jurney
et al. - So its necessary to correct the measurements of
S.Raman and G.Molnar using the ?-ray emission
probabilities of Jurney above 2.5MeV. - In present work the level scheme suggested by
Jurney is adopted to correct the ?-rays
intensities of 56Co and 66Ga.
15Previous evaluation I? for 56Co
- The decay data of 56Co were evaluated based on 33
measured data sets from 1965 to 2002 years by
C.M.Baglin et al. in 2004. - Firstly several measured values are statistical
outliers(about 11) according to the Chauvenet
criterion. Secondly the measured data relied on
linear extrapolations of the efficiency on a
log-log plot above 3MeV were excluded. The rest
measured data were processed by several
evaluation methods weight average(WM),
limitation of relative statistical weight
average(LWM), normalized residuals method(NR) and
Rajeval method(RA). At the same time, the whole
measured data, the whole measured data except the
exceed Chauvenet criterion value, were also
processed by these evaluation methods. - The recommended values are obtained from one of
these processed values according to authors
judgments. Its easy to find that the final
recommended data are evaluated based on the whole
measured data below 2598keV and 8 data sets above
2598keV.
16Present evaluation I? for 56Co
- Fig.5 shows the comparison of the ratio of newly
measurements of S.Raman et al.,G.Molnar et al.
and present work above 2.5MeV, present evaluation
below 2.5MeV to the evaluations of C.M.Baglin for
the relative ?-ray emission probabilities of
56Co. Below 2.5MeV the present evaluation is in
good agreement with Baglins within 0.4. But
above 2.5MeV, the evaluation of Baglin is larger
than the newly three measurements. - The similar trend can be found for 66Ga (see the
next section in detail). We think that the
different detector efficiency curve may cause
this discrepancy.
17Present evaluation I? for 56Co
18Present evaluation I? for 56Co
- The modified values of S.Raman and G.Molnar using
the ?-ray emission probabilities of Jurney for
56Co are listed in table 2. Its noted from table
2 that the systematic deviation among the
measurements of S.Raman, G.Molnar and present
work is not existed. Present measurements are in
good agreement with the modified values of
S.Raman and G.Molnar within 1. Fig. 6 shows the
comparison of present evaluations to the modified
measurements of S.Raman and G.Molnar, and
evaluations of C.M.Baglin. - The present evaluation is obtained from the
average of 11 measured data sets including
present measurements using LWM below 2.5MeV
energy region. Above 2.5MeV energy region, the
present evaluation is obtained from the
unweighted average of the measurements of S.Raman
et al.,G.Molnar et al. and present work(the
measurements before 2000 are rejected when
evaluated due to present knowledge of detector
efficiency curve).
19Present evaluation I? for 56Co
20Present evaluation I? for 56Co
21Temporary evaluation I? for 66Ga
- The newly recommended relative ?-ray emission
probabilities for 66Ga were evaluated by E.Browne
et al. based on the measurements of S.Raman et
al.(quoted data from Budapest), G.Molnar et
al.(Budapest) and C.M.Baglin et al.(Berkeley) in
2004. Weve finished the measurements of relative
?-ray emission probabilities for 66Ga. A
temporary evaluation of the relative ?-ray
emission probabilities for 66Ga was given based
on the measurements of S.Raman et al., G.Molnar
et al.(Budapest), C.M.Baglin et al.(Berkeley) and
present work. - This two evaluations are in agreement with each
other within 1, but the deviation between the
evaluations and newly measurements is up to 2.5,
which is shown in Fig. 7.
22Temporary evaluation I? for 66Ga
23Present evaluation I? for 66Ga
- We corrected the measurements of S.Raman and
G.Molnar using the ?-ray emission probabilities
of 14N(n,?)15N reaction from Jurney above 2.5MeV.
We also corrected the measurements of C.M.Baglin
using present evaluated ?-ray emission
probabilities of 56Co. The modified values are
given in table 3 and shown in Fig.8.
24Present evaluation I? for 66Ga
25Present evaluation I? for 66Ga
- Present final evaluations are recommended based
on present measurements and modified measurements
of S.Raman, G.Molnar and C.M.Baglin shown in
Fig.9. The present evaluations are in good
agreement with the modified measured values
within 1.3.
26Present evaluation I? for 66Ga
27Present evaluation I? for 66Ga
28Conclusion
- The newly recommended relative ?-ray emission
probabilities for 56Co and 66Ga evaluated by
C.M.Baglin et al., E.Browne et al. and present
work show that the old standard for detector
efficiency calibration existes systematic errors
(up to 30) in high energies range. But present
evaluation is lower than the evaluation of Browne
and Baglin above 2.5MeV. The deviation at 3.4MeV
is up to 2.7 and this deviation is consistent
with the difference shown in Fig.6. The
rationality of present evaluation and corrected
method will be dependent upon new measurements,
and more precise standard data are desirable in
further.