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Design of the PIPERADE Traps

Design of the PIPERADE Traps. Sarah Naimi. PIPERADE section to be developed at MPIK. Ideal Penning trap. Harmonic confinement in z-direction. Real Penning trap. Cylindrical trap can reproduce quadrupolar potential in the center of the trap. Anharmonic terms. Frequency shifts

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Design of the PIPERADE Traps

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  1. Design of the PIPERADE Traps Sarah Naimi

  2. PIPERADE section to be developed at MPIK PIPERADE collaboration meeting

  3. Ideal Penning trap Harmonic confinement in z-direction PIPERADE collaboration meeting

  4. Real Penning trap Cylindrical trap can reproduce quadrupolar potential in the center of the trap. Anharmonic terms • Frequency shifts • We can design a trap with certain geometry and voltages to minimize anharmonic terms. PIPERADE collaboration meeting

  5. Real Penning trap • We can calculate analytically the potential of an arbitrary cylindrical geometry if: • Endcap are grounded (VEC = 0V) • Endcap length is 3 times the inner radius (EC > 3 a) PIPERADE collaboration meeting

  6. Real Penning trap We can TUNE the geometry and voltages applied to the trap electrodes to minimize anharmonic terms. Conditions: Compensated trap  C4 & C6 vanish for T Orthogonal trap  ωz is independent of Uc PIPERADE collaboration meeting

  7. Trap design: machining precision Results for the 8 cm trap (U0 = -10 V) For 16 cm trap & U0 = -100V  better results are expected. Orthogonal trap: Changes in correction voltage do cause axial frequency shift. Minimization of C4 and C6: Imperfections of electric field do not cause frequency shifts. PIPERADE collaboration meeting

  8. Trap electrodes & insulator material Magnetization of material in magnetic field with strength H M = χ*H Magnetic susceptibility: χ Electrode: Copper (-9.2 x 10-6) Insulator: Macor (-3.8 x 10-7) PIPERADE collaboration meeting

  9. Trap electrodes & insulator material • Homogeneous region • Axial 10-5  3cm • Bertram talk! PIPERADE collaboration meeting

  10. Trap design: dimension, material, precision Electrodes (RE, CE, EC): Oxygen-free-Copper (OHFC, 99.99%) + 15 mm layer of silver (Ag) + 5 mm layer of gold (Au). Insulator: Macor. PIPERADE collaboration meeting

  11. Trap tower assembly PIPERADE collaboration meeting

  12. Trap tower assembly Alignment precision: 20um Outer diaphragms: Ø = 4 mm Inner diaphragm: Ø = 2 mm Vacuum sealing with the inner diaphragm Maybe a motor to adjust the trap inclination for alignment with the magnetic field! PIPERADE collaboration meeting

  13. FT-ICR detection Stefan Ulmer & Christian Roux PhD thesis Results for the PIPERADE trap A suivre … PIPERADE collaboration meeting

  14. The cables problem!! • Trap: 22 connections • Injection electrodes: 2 x 10 connections • Ejection electrodes: 2 x 10 connections • Diaphragms: 3 x 2 connections TOTAL: 90 connections!!!! (All coming from one side…) PIPERADE collaboration meeting

  15. Real Penning trap To obtain the potential  solve the Laplace equation using the general Green’s function approach: say If endcaps are grounded and pot. vanish outer ends of the trap we can write the pot. as: This solution gives results valid to better than 1 % in all electrostatic coefficients if the endcap length is 3 times the inner radius. PIPERADE collaboration meeting

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