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JC and Marina 12/18/00 Pixel Detector Simulation with Magnetic Field Effects with magnetic Field o Deflection o Effective mobility o Non-constant Hall mobility Comparison with magnet run

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Jianchun (JC) WangSyracuse University2 Magnetic Field

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Jianchun (JC) WangSyracuse University3 Deflection in Magnetic Field n+n+ n p+p+ -V 0 V e e e e e e e e e e e e e B y Effect of magnetic field Effect of incident angle

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Jianchun (JC) WangSyracuse University4 Deflection in Magnetic Field Assumption: H = constant eff = The charge distributions are the same with B or

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Jianchun (JC) WangSyracuse University5 Effective Mobility Very small effect: B field Cloud drifts slower Larger Spread

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Jianchun (JC) WangSyracuse University6 E-dependent Mobility Larger E Smaller Hall Smaller deflection P + side larger E N+ Side Smaller E

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Jianchun (JC) WangSyracuse University7 Effect of Magnetic Field With non-constant Hall (E), and eff The charge distributions are slightly different

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Jianchun (JC) WangSyracuse University8 Conclusion We Don’t expect the magnetic field will reduce the ratio between two-pixel clusters and one-pixel clusters

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Jianchun (JC) WangSyracuse University9 Magnet Run Track at 1.3 angle ( ~ 0.242 Tesla ) Measurement: R min = 0.193 Simulation ( Q th = 2.5Ke ): R min = 0.250 What is wrong ?

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Jianchun (JC) WangSyracuse University10 Magnet Run Track at 1.32 ( 23 mrad ) ( ~ 0.245 Tesla ) Measurement: R min = 0.193 Simulation ( Q th = 4.0Ke ): R min = 0.197 Just to Play around But there is no other evidence that threshold was wrong

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Jianchun (JC) WangSyracuse University11 Magnetic Field Measured with Gauss meter: 45A 0.585 Tesla Assume overall scale of the magnetic field uncertain Use MC simulation to fit 0.517 Tesla (error?) Error of Hall factor ( Hall / =1.15) can make up the difference

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Jianchun (JC) WangSyracuse University12 Summary MC simulation accurate both for drift and B field simulation Magnet Run data is not fully understood yet

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Jianchun (JC) WangSyracuse University13 Lorentz Angle Lorentz angle is not a constant along z, shown are overall effects Larger bias voltage Larger E field Smaller mobility Smaller Lorentz angle

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Jianchun (JC) WangSyracuse University14 Lorentz Angle Comparison Magnetic field: 1.4 Tesla U depletion is calculated with effective thickness of the sensor

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Jianchun (JC) WangSyracuse University15 Diffusion Constant Reduce T eff from 390K to 300K Reduce fraction of doublet by 1.4% Einstein equation: D = k T / q

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Jianchun (JC) WangSyracuse University16 Angular Fit with Distribution FPIX0-Pstop Normal Incidence Data MC: 0.5 interval, interpolation between points Normal incident data: = (1.77 0.09)

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Jianchun (JC) WangSyracuse University17 Angular Fit with Distribution 10° Data5° Data15° Data20° Data FPIX0-Pstop

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Jianchun (JC) WangSyracuse University18 Detector Inclination Angle In Minuit fit, the beam is assumed to normal incident on the first SSD, the overall rotation of the detector can not be fitted In fit, interpolation between MC points (0.5° interval) is used The error from the fit is about 0.1°, which should be smaller than error from MC model

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