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[[Image:SGM_User_Manual_Fig5.jpg|frame|thumbnail|right|<div align="center"> Figure 5: The exit slit position as a function of photon energy for the three SGM gratings. </div>]]
has been used to convert wavelength into photon energy.
has been used to convert wavelength into photon energy.
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[[Image:SGM_User_Manual_Fig5.jpg|frame|thumbnail|right|<div align="center"> Figure 5: The exit slit position as a function of photon energy for the three SGM gratings. </div>]]
where ''r<sub>i</sub>'' is the distance from the entrance slit to the grating and ''R'' is the radius of curvature of the grating. This formula is derived from the Rowland circle geometry[1] which restrains the exit slit, grating and exit slits to points on a circle with radius ''R''. Then the position of the exit slit encoder, ''x''<sub>exs</sub>, is then given by
where ''r<sub>i</sub>'' is the distance from the entrance slit to the grating and ''R'' is the radius of curvature of the grating. This formula is derived from the Rowland circle geometry[1] which restrains the exit slit, grating and exit slits to points on a circle with radius ''R''. Then the position of the exit slit encoder, ''x''<sub>exs</sub>, is then given by