Two-dimensional compound specific isotope analysis has become a powerful tool to distinguish reaction mechanism. Lambda (Λ), an essential and important parameter for processing two-dimensional isotope fractionation data, is specific to a reaction mechanism. In the present article, we modified the existing algorithms for Lambdas based on the review of the current methods. Specifically, through regressing] by York method, a novel method was developed to calculate Λs. The improved method eliminates both the influence of non-reacting position and the initial isotope signatures. Furthermore, this method retains the advantages of two-dimension isotope plot, which eliminates contributions from commitment to catalysis, no need to determine fraction of remaining substrate and can be constructed even from filed data. At the same time, one sample t test is applied to generate 95% confidence interval of data set of Λris for various reaction mechanisms. The range of 5.6724.8, 8.549.80, 0.518.35, 25.236.8, 7.0921.9 are responsible for oxidation of C-H bonds (ZC=1, ZH=3), oxidation of C-H bonds (ZC=1,ZH=4), aerobic biodegradation of benzene (ZC=6,ZH=6), methanogenic or sulfatereducing biodegradation of benzene (ZC=6,ZH=6), and nitrate-reducing biodegradation of benzene (ZC=6,ZH=6). The accumulation and correction of these values will make the data measured in the field easier to interpret.