This figure shows the effective refractive index correction given the specific geometry of the source, crystal and detector system

<p><strong>Figure 2.</strong> This figure shows the effective refractive index correction given the specific geometry of the source, crystal and detector system. Note particularly (i) that the functional and convergence are well below the 1.5 ppm estimate (ii) the dispersion of the curves at higher energies is not uncertainty but predictive of the change in geometry depending upon the source-crystal axis angle. In other words, the variation is due to Mosplate correctly predicting the functional with position. Illustrated on the side is the estimated uncertainty of the characterization including input uncertainties, computed with a an approximately 1.5 ppm uncertainty error bar. This estimate would be substantively different with a flat crystal geometry.</p> <p><strong>Abstract</strong></p> <p>Transition metals have Kα and Kβ characteristic radiation possessing complex asymmetric spectral profiles. Instrumental broadening normally encountered in x-ray experiments shifts features of profiles used for calibration, such as peak energy, by many times the quoted accuracies. We measure and characterize the titanium Kβ spectral profile. The peak energy of the titanium Kβ spectral profile is found to be 4931.966 ± 0.022 eV prior to instrumental broadening. This 4.5 ppm result decreases the uncertainty over the past literature by a factor of 2.6 and is 2.4 standard deviations from the previous standard. The spectrum is analysed and the resolution-free lineshape is extracted and listed for use in other experiments. We also incorporate improvement in analysis applied to earlier results for V Kβ.</p>