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Summary of Survey Measurements of 72 Modules on 12 Production Pixel Sectors (9006-9017)

Summary of Survey Measurements of 72 Modules on 12 Production Pixel Sectors (9006-9017). Y. X. Button surface. ~700 microns. Back sector surface. ~4018 microns. Front sector surface. (not to scale). Modules-on-Sector Measurements. 3 modules on front side. 3 modules on back side.

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Summary of Survey Measurements of 72 Modules on 12 Production Pixel Sectors (9006-9017)

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  1. Summary of Survey Measurements of 72 Modules on 12 Production Pixel Sectors (9006-9017)

  2. Y X Button surface ~700 microns Back sector surface ~4018 microns Front sector surface (not to scale) Modules-on-Sector Measurements 3 modules on front side. 3 modules on back side. 3 mountingbuttons glued in holes in carbon sector. X=0,Y=0 is always left button, looking down on sector, for each side.

  3. Modules-on-Sector Measurements For each sector side we measure (using a SmartScope): 1) X,Y of survey targets at the 4 corners of each module. Then calculate: Delta X = Xmeaured - Xnominal, Delta Y = Ymeaured - Ynominal 2) 32 X,Y,Z points on the top of each module (16 along one long edge, 16 along the other long edge). Fit the 32 points to a 3D module plane. Save: fit parameters, chi-square, residuals mean and residuals RMS. Calculate: Bow & Twist of module, & Height of module above sector plane. 3) 12 X,Y,Z points on the sector surface. Fit 12 points to a 3D sector plane. Save: fit parameters, chi-square, residuals mean and residuals RMS. (This is done 3 times for each side, each time a module is measured.) 4) 4 X,Y,Z points on the button surface, for each of 3 mounting buttons. Fit 12 points to a 3D button plane. Save: fit parameters, chi-square, residuals mean and residuals RMS. (This is done 6 times per sector, each time a module is measured.) Compare sector plane and button plane.

  4. Delta X, Delta Y of Module Survey Targets Delta X and Delta Y of Survey Targets of Modules on Sectors (for 72 modules on 12 sectors, 9006-9017) From fits: Mean: -2 microns Sigma: 4 microns Mean: 0 microns Sigma: 3 microns

  5. Module Bow and Twist Measurements Bow and Twist Measurements of Modules on Sectors (for 72 modules on 12 sectors, 9006-9017) Average |Twist| = 0.8 mr RMS|Twist| = 0.7 mr Average |Bow| = 8 microns RMS|Bow| = 6 microns

  6. Module Height Above Sector Surface For each of the 72 modules on the 12 sectors, calculate the height of the top of the module above the sector plane at the 32 measured points. Then: a) Calculate the Tilt of each module with respect to the sector plane: Tilt = Module height at top of module - Module height at bottom b) Calculate the Mean of the 32 heights and the RMS of the 32 heights for each Module. Compare Mean Height to Nominal Value (270 microns). Average |Tilt| = 13 microns RMS |Tilt| = 11 microns Average = 52 microns RMS = 10 microns Average = 12 microns RMS = 4 microns

  7. Comparison of Sector and Button Planes At X=0,Y=0, calculate the Z difference between the sector and button planes: Zdiff = (Zsector-Zbutton) - Nominal Value For the front sector plane: Zdiff = sector thickness + button thickness - 4018 (µm) For the back sector plane: Zdiff = -button thickness - (-700) (µm) Average = 27 microns RMS = 8 microns Average = -28 microns RMS = 7 microns Results indicate actual button thickness is 28 microns greater than nominal.

  8. Comparison of Sector and Button Planes Non-parallelism of the sector and button planes: Non-parallelism = (Zsector-Zbutton)X,Y - (Zsector-Zbutton)0,0 Non-parallelism = 0 if the sector and button planes are parallel. Measure non-parallelism for X=0,Y=-70 (along length of sector) X=70,Y=0 (along width of sector) Since the buttons are distributed mainly in X, and not very much in Y, expect non-parallelism along the length (Y) of the sector to be measured less precisely than along the width (X) of the sector. Non-parallelism is measured 3 times for the front sector plane and 3 times for the back sector plane, once every time a module is measured. For a given non-parallelism, sign conventions are such that if we measure it exactly: For X=0,Y=-70: Av. front non-parallelism + Av. back non-parallelism = 0 For X=70,Y=0: Av. front non-parallelism - Av. back non-parallelism = 0 A deviation from zero of these quantities indicates how well/poorly we measure the non-parallelism. See plots of these 2 cases on the next page.

  9. Comparison of Sector and Button Planes Non-parallelism (NP) of the sector and button planes (continued) Average = 41 microns RMS = 60 microns Average = 4 microns RMS = 20 microns As expected, the non-parallelism along the length (Y) of the sector is measured less precisely than along the width (X) of the sector.

  10. Conclusions Modules are glued to sectors with a position accuracy of 3.5 microns in X & Y! For other measured quantities: Average RMS |Bow| 8 6 microns |Twist| 0.8 0.7 mr |Tilt| 13 11 microns Mean height above sector plane - Nominal 52 10 microns RMS (Heights above sector plane) 12 4 microns Zdiff = (Zsector-Zbutton) - Nom Front: 27 8 microns Back: -28 7 microns F + B Non-parallelism for X=0,Y=-70 41 60 microns F + B Non-parallelism for X=70,Y=0 4 20 microns

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