N$_{act}$ ( i ) = 〈 σ$_{i}$ 〉 N$_{i}$ Φ$_{tot}$ f ( i ) , (3) N$_{act}$ ( i ) N$_{act}$ (Au) = 〈 σ$_{i}$ 〉 N$_{i}$ f ( i ) 〈 σ$_{Au}$ 〉 N$_{Au}$ f (Au) ⇐ ⇒ 〈 σ$_{i}$ 〉 = 〈 σ$_{Au}$ 〉 N$_{act}$ ( i ) N$_{Au}$ f (Au) N$_{act}$ (Au) N$_{i}$ f ( i ) . (4) f = ∫ t$_{a}$ 0 φ ( t ) e − λ ( t$_{a}$ − t ) dt ∫ t$_{a}$ 0 φ ( t ) dt (5) Product t$_{1}$$_{/}$$_{2}$ Decay mode E$_{γ}$ I$_{γ}$ Reference nucleus [keV] [%] $^{103}$Pd 16.991 (19) d EC 357.5 0.0221 (7) [27] $^{121}$Teg 19.16 (5) d EC 573.1 80.3 (25) [28] $^{121}$Tem 154 (7) d IT (88.6 (11) %) 212.2 81.4 (1) $^{121}$Tem EC (11.4 (11) %) 1102.1 2.54 (6) $^{131}$Ba 11.50 (6) d EC 216.1 20.4 (4) [29] EC 496.3 48.0 (4) $^{133}$Bag 10.52 (13) yr EC 356.0 62.05 (19) [30] $^{133}$Bam 38.9 (1) h IT (99.99 %) 275.9 17.8 (6) $^{157}$Dy 8.14 (4) h EC 326.3 93 (3) [31] $^{198}$Au 2.69517 (21) d β − 411.8 95.58 (12) [32] TABLE III: Decay properties of the product nuclei used in the analysis. EC stands for electron capture decay, IT for isomeric transition. B. Partial cross sections tion factor K$_{S}$ of sample pd-3 is slightly higher than for samples pd-1 and pd-2 due to the varying thickness. The thinner sample pd-3 absorbs less X-rays and thus more coincident summing with decay γ -rays can occur. The correction factor for the decay of activated nuclei during the irradia- tion time t$_{a}$ is calculated from the neutron flux history recorded with the $^{6}$Li glass detector downstream of the neutron target. This correction includes also the effect of variations in the neutron flux. The cross section 〈 σ$_{exp}$ 〉 is given in brackets to indi- cate that it represents an average over the quasi-stellar spectrum of the $^{7}$Li(p,n)$^{7}$Be source. The reference value for the experimental averaged $^{197}$Au cross section was adopted as 〈 σ$_{exp}$ 〉 =586 ± 8 mbarn [21]. In the activations of $^{120}$Te, $^{130}$Ba, and $^{132}$Ba, neutron capture populates ground and isomeric states in the prod- uct nucleus. The partial cross section to $^{131}$Bam could not be measured in this work because the isomer is too short short-lived ( t$_{1}$$_{/}$$_{2}$ = 14 . 6 min). Therefore, only the total capture cross section of $^{130}$Ba was derived from the ground state activity after an appropriate waiting time. Similarly, the isomeric state in $^{133}$Ba decays with 99.99% probability by internal transitions with a half-life of 38.9 h so that the total cross section can later be de- rived from the ground-state activity ( t$_{1}$$_{/}$$_{2}$ = 10 . 52 yr). In this case, the isomer lived long enough that the partial cross section could be determined as well. In cases where the half-lives of ground state and isomer are of the same order of magnitude, as for $^{121}$Te, where where Φ$_{tot}$ = ∫ φ ( t ) dt is the time-integrated neutron flux and N$_{i}$ the number of atoms of species i in the sample. As our measurements are carried out relative to $^{197}$Au as a standard, the neutron flux Φ$_{tot}$ cancels out in the ratio, The number of activated nuclei N$_{act}$ can be written as Sample Thickness K$_{E}$ K ′ γ K$_{S}$ K$_{tot}$ [mm] pd-1 0.5 0.9976 0.9563 0.9991 0.9531 pd-2 0.5 0.9986 0.9569 0.9951 0.9509 pd-3 0.25 0.9972 0.9762 0.9663 0.9407 ba-1 0.48 1.0002 0.9820 0.9575 0.9405 ba-2 0.65 1.0022 0.9752 0.9608 0.9390 ba-3 0.43 0.9994 0.9841 0.9570 0.9412 TABLE IV: GEANT4 simulations of the correction factors for the $^{103}$Pd and $^{133}$Bag measurements with the Clover detector system. 5