(Table 3) Multiple sulfur isotope composition of secondary sulfide in ODP Hole 129-801C and 185-801C

We define traditional capital delta notation (Delta d) as deviations of d33S from a reference line: Delta d33S = d33S-0.515Xd34S. An alternative Delta delta definition has been preferred by recent studies (Hulston and Thode, 1965, doi:10.1029/JZ070i014p03475; Gao and Thiemens, 1991, doi:10.1016/0016-7037(91)90381-E; Miller, 2002, doi:10.1016/S0016-7037(02)00832-3; Young et al., 2002, doi:10.1016/S0016-7037(01)00832-8), and we denote this as Delta d*: Delta d33S* = d33S*-0.515Xd34S*, where dxS* = ln(xRsample/xRref)X100 = ln((dxS/100)+1)X1000. Both definitions (Delta d and Delta d*) are used for comparison. Note that the modified delta notations (d34S* and Delta d33S*) are fractionation-oriented (i.e. linear relationships during massdependent isotope fractionation) whereas traditional delta coordinates (d34S and Delta d33S) are mass-balance oriented (i.e. linear relationships during mixing) (Ono et al., 2007, doi:10.1016/j.gca.2006.11.017)

我们将传统大写Δ符号记法（Delta d）定义为d₃₃S相对于参考线的偏差：Δd₃₃S = d₃₃S - 0.515×d₃₄S。近年多项研究更倾向于采用另一种Δ-delta定义（Hulston与Thode，1965，doi:10.1029/JZ070i014p03475；Gao与Thiemens，1991，doi:10.1016/0016-7037(91)90381-E；Miller，2002，doi:10.1016/S0016-7037(02)00832-3；Young等，2002，doi:10.1016/S0016-7037(01)00832-8），我们将其记为Δd*（Delta d*）：Δd₃₃S* = d₃₃S* - 0.515×d₃₄S*，其中dₓS* = ln(xR样品/xR参考) × 100 = ln((dₓS/100) + 1) × 1000。本研究同时采用这两种定义（Delta d与Delta d*）以开展对比分析。需注意，修正后的δ记法（d₃₄S*与Δd₃₃S*）以分馏为导向（即质量依赖性同位素分馏过程中呈线性相关关系），而传统δ坐标（d₃₄S与Δd₃₃S）则以质量平衡为导向（即混合过程中呈线性相关关系）（Ono等，2007，doi:10.1016/j.gca.2006.11.017）