Absolute measurement of the total number of ions stored in an RF quadrupole trap

Gaboriaud, M N; Desaintfuscien, M.; Major, F. G.

doi:10.1016/0020-7381(81)85022-x

Cited by 63 publications

(26 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The equation of motion of the trapped ion including damping γ and under the influence of external excitation F at frequency ω 0 swept at rate b about the ion secular frequency ω z , is given as [25] mZ + γŻ + ω 2 z Z + 8…”

Section: Anharmonic Oscillationsmentioning

confidence: 99%

Numerical calculations of potential distribution in non-ideal quadrupole trap and simulations of anharmonic oscillations

Gupta

Rao

2008

Pramana - J Phys

View full text Add to dashboard Cite

A quadrupole ion trap consisting of electrode structures symmetric about zaxis is an important tool for conducting several precision experiments. In practice the field inside the trap does not remain purely quadrupolar, and can be calculated using numerical methods. We have used boundary element method to calculate the potential inside the truncated as well as symmetrically misaligned quadrupolar ion trap. The calculated potential values are fitted to multipole expansion and the weights of multipole moments have been evaluated by minimizing the least square deviation. The higher-order multipole contribution in the fabricated hyperbolic electrodes due to truncation and machining imperfections is discussed. Non-linear effects arising due to the superposition of octupole moment manifest as anharmonic oscillations of trapped ions in the non-ideal Paul trap. Theoretical simulations of non-linear effects have been carried out.

show abstract

Section: Anharmonic Oscillationsmentioning

confidence: 99%

Numerical calculations of potential distribution in non-ideal quadrupole trap and simulations of anharmonic oscillations

Gupta

Rao

2008

Pramana - J Phys

View full text Add to dashboard Cite

show abstract

“…at the resonance frequency of tank circuit in the absence of ions [10]. At resonance the relative ion response signal is given as…”

Section: Estimation Of Ion Numbermentioning

confidence: 99%

“…There are several methods of cooling and one of the simplest method is the viscous damping of the ion oscillations using a light buffer gas [9], which is employed in the present work. We describe the line profile analysis of the detected signal for the estimation of the trapped ion number [10].…”

Section: Introductionmentioning

confidence: 99%

Measurement of storage time, estimation of ion number and study of absorption line profile in a Paul trap

et al. 2006

View full text Add to dashboard Cite

Europium (Eu + ) ions were confined in a Paul trap and detected by nondestructive method. Storage time of Eu + ions achieved in vacuum was improved by orders of magnitude employing buffer gas cooling. The experimentally detected signal was fitted to the ion response signal and the total number of ions trapped was estimated. It is found that the peak signal amplitude as well as the product of FWHM and the peak signal amplitude is proportional to the total number of trapped ions. The trapped ion secular frequency was swept at different rates and its effect on the absorption line profile was studied both experimentally and theoretically.

show abstract

“…7 appears when the DC voltage sweeps through 11.3 V. In our experiment, we observed a deep valley (i.e., a sharp absorption peak) when the voltage was swept from low to high values, and a shallow valley during the sweep from high to low values. This lack of symmetry arises from nonlinear terms that appear in the equation for ion motion in the z-axis direction, which is in the form of a forced harmonic oscillator equation [17] Here, γ 2 is the reciprocal of the ions' coherence time, Γ is a coefficient that corrects for the fact that the electrodes' cross section is hyperbolic in shape, which according to the calculations of Gaboriaud and colleagues, is 0.85 to good accuracy [18], m is the ion mass, v 1 is the rf voltage generated at the top of the LC tank circuit arising from voltage division of the rf probe oscillator voltage between the resistance R 0 and the LC tank circuit, and z 0 is half the distance between two end caps. "min" on the right-hand side of Fig.…”

Section: Ion Trapmentioning

confidence: 99%

“…From the depth (v 10 − v 1 ) of the dip in Fig. 8 and the width ∆ω we can calculate the total number of confined ions [18]:…”

Section: Ion Trapmentioning

confidence: 99%

Characteristics of Sr⁺ ions in an RF trap

Hirano

Yao

2004

Electron Comm Jpn Pt II

View full text Add to dashboard Cite

SUMMARYWe have developed a system for generating light by doubling the frequency (second-harmonic generation) of a high-power semiconductor laser, with high frequency stability provided by locking to the absorption line of a hollow-cathode lamp. Once this system was built, we constructed an ion trap and used light from the system to measure the characteristics of the trapped ions. By illuminating the ions with both a pump laser and a repumping laser, we were able to measure the characteristics of the ion fluorescence. We used rate equations to analyze our measurements.

show abstract

Absolute measurement of the total number of ions stored in an RF quadrupole trap

Cited by 63 publications

References 16 publications

Numerical calculations of potential distribution in non-ideal quadrupole trap and simulations of anharmonic oscillations

Numerical calculations of potential distribution in non-ideal quadrupole trap and simulations of anharmonic oscillations

Measurement of storage time, estimation of ion number and study of absorption line profile in a Paul trap

Characteristics of Sr⁺ ions in an RF trap

Contact Info

Product

Resources

About

Absolute measurement of the total number of ions stored in an RF quadrupole trap

Cited by 63 publications

References 16 publications

Numerical calculations of potential distribution in non-ideal quadrupole trap and simulations of anharmonic oscillations

Numerical calculations of potential distribution in non-ideal quadrupole trap and simulations of anharmonic oscillations

Measurement of storage time, estimation of ion number and study of absorption line profile in a Paul trap

Characteristics of Sr+ ions in an RF trap

Contact Info

Product

Resources

About

Characteristics of Sr⁺ ions in an RF trap