Version Differences for SGM Beamline
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[[Image:SGM_User_Manual_Fig4.jpg|frame|thumbnail|right|<div align="center"> Figure 4: The grating encoder position as a function of photon energy for the low, medium, and high energy gratings. </div>]]
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[[Image:SGM_User_Manual_Fig4.jpg|frame|right|<div align="center"> Figure 4: The grating encoder position as a function of photon energy for the low, medium, and high energy gratings. </div>]]
In this equation, ''d'' is the grating spacing (space between two consecutive rulings) and θ<sub>m</sub> is the included angle of the monochromator. The included angle is defined by the positions of the entrance slit and exit slit and is equivalent to the angle between the incident beam and the diffracted beam. For the SGM, θ<sub>m</sub> is 175<sup>o</sup> and the values for ''d'' are 1/600, 1/1100 and 1/1700 mm.
In this equation, ''d'' is the grating spacing (space between two consecutive rulings) and θ<sub>m</sub> is the included angle of the monochromator. The included angle is defined by the positions of the entrance slit and exit slit and is equivalent to the angle between the incident beam and the diffracted beam. For the SGM, θ<sub>m</sub> is 175<sup>o</sup> and the values for ''d'' are 1/600, 1/1100 and 1/1700 mm.
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[[Image:eq6.jpg|center]]
[[Image:eq6.jpg|center]]
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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>]]
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[[Image:SGM_User_Manual_Fig5.jpg|frame|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