tokens: linear relation and the deviation is about 4%. Furthermore, Hansen et al. ( 2014 ) and Niu et al. ( 2015 ) found that the abundance patterns and the decreasing trends of the weak r-process abundances versus atomic number are robust. In this work, using the decreasing relation, we estimate the abundances of the weak r- and main r-process for the elements As and Se, which are listed in Table 1 . For comparison, the corresponding r-process abundances in the solar system (Sneden et al. 2008 ) are also listed. Table 1 Main r-process and Weak r-process Abundances of As and Se Adopted in this Work Note. a Sneden et al. ( 2008 ). The five superposition coefficients in Equation ( 1 ) can be derived by comparing the calculated abundance N i, cal with the observed abundance N i, obs and seeking the smallest χ 2 which is calculated aswhere is the observed uncertainty. Thirty-eight elements are used in the calculations, thus K = 38. The value of K free is five, which means five superposition coefficients. All observed abundances of the star HD 94028 are taken from Roederer et al. ( 2016 ). The abundances derived from neutral lines are adopted for the light neutron-capture elements Mo and Cd. For the best-fitting results, the value of χ 2 is 0.887 for case A and 0.938 for case B. The calculated superposition coefficients for case A are C r , m = 1.50, C pri = 3.90, C s , m = 1.84, , and C Ia = 0. For case B, these coefficients are C r , m =1.49, C pri = 4.10, C s , m = 1.82, , and C Ia = 0. The coefficients C r,m , C pri , and C s,m are larger than 1.0, which means that the fractions contributed by the main r-, primary, and main s-process for HD 94028 are larger than those of the solar system. On the other hand, C sec is smaller than 1.0, which implies that the fraction contributed by the secondary process for this star is smaller than that of the solar system. The coefficient C Ia is 0, which is consistent with the prediction of Kobayashi et al. ( 1998 ) that SNe Ia did not occur for the progenitors with [Fe/H] ≤ −1.0. Direct comparisons of calculated and observed abundances for case A and case B are plotted in Figures 1 (a) and (b), respectively. In the upper panels, the solid lines are the calculated abundances and the filled circles are the observed abundances of HD 94028. The lower panels show the related offsets () and the corresponding observed uncertainties. From Figures 1 (a) and (b), we can see that, for most elements, the calculations are consistent with the observations within the uncertainties. Comparisons between the individual component abundances and the observed abundances in HD 94028 are shown in Figures 2 (a) and (b). Figure 1. Upper: comparisons of calculated results (solid lines) with the observed abundances (filled circles). The observed upper limits are represented by circles with downward arrows. The data are taken from Roederer et al. ( 2016 ). Lower: the relative offsets ( ) and the observed uncertainties. Figure 2. Abundance
ner_tags: O O O O O O O O O B-Citation I-Citation I-Citation I-Citation I-Citation I-Citation O B-Citation I-Citation I-Citation I-Citation I-Citation I-Citation O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B-CelestialObject I-CelestialObject B-Citation I-Citation I-Citation I-Citation O O O O O O O O O O O O O O O O O O O O O O B-Citation I-Citation I-Citation I-Citation I-Citation I-Citation O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B-Formula I-Formula I-Formula O O O O O O O O O O O O O O O O O O B-CelestialObject I-CelestialObject O O O B-Citation I-Citation I-Citation I-Citation I-Citation I-Citation O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B-Formula I-Formula I-Formula B-Formula I-Formula I-Formula I-Formula B-Formula I-Formula I-Formula I-Formula I-Formula I-Formula B-TextGarbage O B-Formula I-Formula I-Formula I-Formula O O O O O O B-Formula I-Formula I-Formula I-Formula I-Formula B-Formula I-Formula I-Formula I-Formula B-Formula I-Formula I-Formula I-Formula I-Formula I-Formula B-TextGarbage O B-Formula I-Formula I-Formula I-Formula O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B-CelestialObject I-CelestialObject O O O O O O B-CelestialObject I-CelestialObject O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B-CelestialObject I-CelestialObject O O O O O O O O O O O O O B-Citation I-Citation I-Citation I-Citation I-Citation I-Citation O O O O O O O O O O B-Formula I-Formula I-Formula O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B-CelestialObject I-CelestialObject O O O O O O O B-TextGarbage O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B-CelestialObject I-CelestialObject O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B-Citation I-Citation I-Citation I-Citation I-Citation I-Citation O O O O B-TextGarbage I-TextGarbage O O O O O O O