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SUN Yuliang, WANG Yongsheng, TIAN Yulin, WANG Junying, HUANG Wenxue. Calculation of the Optimal Amplitudes for the Key Electrodes of the Lanzhou Penning Trap[J]. Nuclear Physics Review, 2015, 32(3): 341-346. doi: 10.11804/NuclPhysRev.32.03.341
Citation: SUN Yuliang, WANG Yongsheng, TIAN Yulin, WANG Junying, HUANG Wenxue. Calculation of the Optimal Amplitudes for the Key Electrodes of the Lanzhou Penning Trap[J]. Nuclear Physics Review, 2015, 32(3): 341-346. doi: 10.11804/NuclPhysRev.32.03.341

Calculation of the Optimal Amplitudes for the Key Electrodes of the Lanzhou Penning Trap

doi: 10.11804/NuclPhysRev.32.03.341
  • Received Date: 1900-01-01
  • Rev Recd Date: 1900-01-01
  • Publish Date: 2015-09-20
  • Penning trap mass spectrometry is one of the direct methods and maybe the most accurate tool for atomic mass measurements. The quadrupole electric eld produced in the trap should be very accurate in order to ensure the precision of measurements. The optimal amplitudes for the key electrodes of the Lanzhou Penning Trap(LPT) have been calculated by two methods|formula derivation and least-squares tting. For formula derivation method, the optimal values are based on the theory and deduced from the formulas. Least-squares tting method is to minimize the quadratic sum of sampling deviations, where the actual geometry of the electrodes has been considered by the simulation. The obtained C4 and C6 values can be used to estimate the experimental error produced by the deviation from the ideal quadrupole electric eld. The expected quadrupole electric led could be gotten by both methods.
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Calculation of the Optimal Amplitudes for the Key Electrodes of the Lanzhou Penning Trap

doi: 10.11804/NuclPhysRev.32.03.341

Abstract: Penning trap mass spectrometry is one of the direct methods and maybe the most accurate tool for atomic mass measurements. The quadrupole electric eld produced in the trap should be very accurate in order to ensure the precision of measurements. The optimal amplitudes for the key electrodes of the Lanzhou Penning Trap(LPT) have been calculated by two methods|formula derivation and least-squares tting. For formula derivation method, the optimal values are based on the theory and deduced from the formulas. Least-squares tting method is to minimize the quadratic sum of sampling deviations, where the actual geometry of the electrodes has been considered by the simulation. The obtained C4 and C6 values can be used to estimate the experimental error produced by the deviation from the ideal quadrupole electric eld. The expected quadrupole electric led could be gotten by both methods.

SUN Yuliang, WANG Yongsheng, TIAN Yulin, WANG Junying, HUANG Wenxue. Calculation of the Optimal Amplitudes for the Key Electrodes of the Lanzhou Penning Trap[J]. Nuclear Physics Review, 2015, 32(3): 341-346. doi: 10.11804/NuclPhysRev.32.03.341
Citation: SUN Yuliang, WANG Yongsheng, TIAN Yulin, WANG Junying, HUANG Wenxue. Calculation of the Optimal Amplitudes for the Key Electrodes of the Lanzhou Penning Trap[J]. Nuclear Physics Review, 2015, 32(3): 341-346. doi: 10.11804/NuclPhysRev.32.03.341

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