Absolute X-Ray Wave-Length Measurements by Arthur Pehr Robert Wadlund

By Arthur Pehr Robert Wadlund

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A drift within the data was simulated by adding a curve with constant slope5 , as indicated by the dashed line in Fig. 3 (a). The data set thus recorded can be divided into m subgroups of length τ, where each subgroup has N = τ/∆t elements. The mean value of each subgroup is As (τ). 14) σAllan (τ) = ∑ [As+1(τ) − As(τ)]2 . 2m s=1 The Allan variance versus integration time is generally plotted on a log-log-scale. For 2 the simulated time series it is depicted in Fig. 3 (b). For short integration times τ, σAllan decreases proportional to the integration time until a minimum is reached.

Due to the definition of the δ -scale, the δ -values of VSMOW equal zero. 0 −70 −366 to that of the lightest (and most abundant) isotopologue H216 O. 4 , and δ D= −80 (Fig. 7). The second fractionation — which is denoted as kinetic fractionation — occurs during the transport through the laminar-viscous boundary layer just above the water surface (thickness only a few millimeters). The diffusion is quantified by the diffusion constant of the individual isotopologue. , the 10 offset in Eq. 25. During evaporation the kinetic fractionation enhances the equilibrium fractionation, leading to a higher depletion in heavier isotopologues in the vapor phase.

1 Multipass absorption cell Multipass absorption cells have been developed as a means for signal enhancement, as the absorption signal is directly proportional to the interaction length of the laser radiation and the trace gas. Different cell designs have been realized. In chronological order, the first longpath cell was proposed by White [1942]. This cell comprises three concave spherical mirrors, between which the laser beam is multiply reflected. Using three mirrors makes this approach somewhat bulky and complicated to align.

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