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a peep model is designed for a specific spectrum by creating a set of component piece with a set of line shapes and a set of relationships between fitting parameters that allow the correct physical meaning to be attributed to various components within the piec model and also produce a residual standard deviation that indicates we have good data reproduction there are two aspects to a peak model we require the peak model to be physically meaningful meaning that each of the peaks that we see can be correlated with physical processes related to the sample for example here we have an oxide of titanium so we have a doublet peak that represents the oxide and then we also have a metallic form of titanium and the shapes the seperation the relationship to the background all of these have to be correct to be physically meaningful and the other aspect is the mathematical solution that is to say once we choose a set of parameters and we have a set of relationships that we believe appropriate when
