Mott Polarimeter Solid Angle

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Presentation transcript:

Mott Polarimeter Solid Angle March 15, 2017

Large Ring Small Ring Flat Plate

Design Survey Survey-Design Survey LOCATION X Y Z in um TOP BAFFLE HOLE 0.000 1.425 0.002 1.434 50.800 228.600 -10.930 BEAM RIGHT BAFFLE HOLE -1.425 -1.428 -0.002 -76.200 -50.800 -10.926 BOTTOM BAFFLE HOLE 0.005 -1.436 127.000 -279.400 -10.928 BEAM LEFT BAFFLE HOLE 1.439 0.001 355.600 25.400 -10.933 CENTER BAFFLE HOLE 0.004 -0.003 101.600 -10.929 Average -0.001 111.760 -30.480

“Z” Upstream Foil = 10.929” + 0.157” = 11.086” Aperture… “Z” Upstream Foil = 10.929” + 0.157” = 11.086” “X” Away from CL = 1.425” Diameter (f) on Scattering Angle = 0.192” Solid Angle : Orthogonal Square Cap q = tan-1(X/Z) = 172.7 deg dq = tan-1(f/R) = 0.0172 rad = 0.984 deg dj = f/(R*sinq) = 0.135 rad = 7.75 deg dW = sinq dq dj = 0.295 msr Solid Angle : Circular Cap dS = p (0.192”/2)2 = 0.0290 sq.in. A = 4p (11.086”2 + 1.425”2) = 1570 sq.in. dW = 4p dS/A = 4p (1.85 x 10-5) = 0.232 msr Steigerwald’s SPIN2000 quotes dW = 0.18 msr and q = 172.6 deg.