This invention generally relates to mass spectrometers and specifically to a system and method to increase sensitivity of ICP-MS.
Inductively coupled plasma mass spectrometry (ICP-MS) is by far the most powerful technology for trace and ultra-trace elemental analysis. This technology provides detection limits as low as part per quadrillion (ppq), high sensitivity, wide dynamic range, and isotopic capability. The analytical capabilities of ICP-MS in this field are in part a result of its ion source, the ICP torch, which provides ionization temperatures as high as 10000 K, thereby facilitating the efficient atomization and ionization of sample species.
Despite the advantages provided by ICP-MS, this technology still suffers from some limitations. One of these limitations that has not been fully addressed to this day is the ion transmission efficiency. Typical detection efficiencies for current ICP-MS instruments are in the range of 10−4˜10−6 count/atom. Although, higher detection efficiencies at around 10−3 count/atom seem to have been achieved more recently with sector-field ICP-MS. The low transmission efficiency in ICP-MS is partially attributed to space charge effects. Space charge effects also cause mass discrimination in favor of heavier ions in comparison with lighter ones.
Space charge in ICP mass spectrometry happens due to the high number density of charged particles, which are sampled from the ICP through the sampler orifice. It has been estimated that the ion current passing through the skimmer orifice of an ICP-MS interface is in the range of 1.5 mA. Inside the ICP, the number of charge carriers (i.e., positive ions, negative ions, and electrons) are balanced. That is, the number of negative and positive charged particles is the same and, as such, the ICP is considered to be electrically neutral (i.e., globally-neutral) with no space charge fields. However, as the ions are sampled and enter the mass spectrometer, due to successive pressure drops in various stages of the mass spectrometer, electrons, which have much higher mobility compared to heavier ions, begin to be preferentially lost. Grounding of various components of the spectrometer (such as sample, skimmer, ion lenses, etc.) also contributes to the loss of electrons.
Ions of lower mass with lower kinetic energy are defocused more strongly and transmitted less efficiently than heavier ions with higher kinetic energies. The result is mass bias against light elements, which also contributes to matrix effects.
Various electrostatic fields commonly employed in the form of ion lenses to focus the positive ions also cause the electrons to be repelled from the ion beam. Therefore, the ion beam becomes successively more depleted from electrons. This leaves the ion beam to be mainly composed of positive ions. Since particles with the same charge repel each other due to Coulombic repulsion, this effect prevents the ion beam from being effectively focused using ion-beam guidance devices. As the ions proceed through various stages of the mass spectrometer, the ion beam is further defocused, and a great percentage of ions are lost. Therefore, ion-beam guidance devices in ICP-MS have a limited transmission ability which depends on the intensity and number density of the ion beam. This is known as the “space-charge limit”.
Commonly, the ion current sampled from the plasma into a typical ICP-MS device is around 1-1.5 mA, which is significantly above the few μA required to develop a strong space charge field. It is also claimed that matrix interferences are linked to changes in the ion transport process due to the influence of matrix ions on the space charge effect. Some authors reported that the actual ion current measured at the base of the skimmer is around 6-20 μA. These observations were later supported by the electron density measurements of Niu and Houk, time resolved measurements of the effect of matrix on the ion pulses by Allen et al. and Stewart and Olesik, and theoretical modeling of Tanner. The latter calculations support the observations that a strong defocusing of the ion beam is caused by space charge effects even at an ion current of only a few micro-Amperes. Furthermore, light ions with lower kinetic energies are less effectively transmitted than the heavier ions and more strongly defocused by matrix ions.
Previously various researchers tried to partially overcome the space charge effect in ICP-MS through various methods. For example, Praphairaksit and Houk implemented an additional electron source (in the form of a tungsten filament) inside the mass spectrometer after the skimmer to generate electrons (with an electron energy of at least 30 eV) to partially bring back the space charge neutrality of the ion beam and ameliorate the ion focusing process. Turner proposed acceleration of ions by applying a strong extraction potential downstream of the skimmer cone. This was done by implementing an acceleration cone having a bias potential of −2000V immediately after the skimmer cone to reduce number density and, hence, space charge effects. This method showed some minor improvement and did not solve the problem of mass bias and matrix effects.
A three-aperture interface was developed by Tanner et al. for this purpose. They used an off-axis aperture architecture after the skimmer cone to reduce the ion current and minimize the space charge. The natural disadvantage of this method is that a great portion of ions hit the aperture wall and become lost; although, an improvement in the limits of detection was reported.
In other approaches, the ion lenses were modified to reduce space charge through retaining the charge neutrality of the ion beam; for example by removing some of the ion lens components, or by applying a small positive bias potential on the extraction lenses. All of these techniques are either limited to the nature and kinetic energy of the matrix ions, result in a great percentage of the ions to be lost, or add complexity to the architecture and design of the mass spectrometer.
It is suggested that some of the matrix effects (non-spectroscopic interelement interferences) observed in ICP-MS instruments might be associated with the space charge effects in the ion optics and guides. Some studies also indicate that matrix elements play a dominant role in the ion beam where most of the matrix effects associated with ICP-MS are reported to originate when the ion beam travels between the skimmer and the ion extraction lenses.
Based on additional studies on the ion extraction process by Chambers et al. using a Langmuir probe, significant charge separation is considered to happen as the ions go from the sampler orifice to the skimmer orifice. These studies indicate that the assumption of charge neutrality at and beyond the skimmer orifice is not necessarily valid. Accordingly, the trajectory of ions inside the skimmer cone is greatly affected.
Space charge effects have been considered to be in part responsible for matrix effects and mass discrimination in ICP-MS. Computer simulations by Tanner indicate that the effect of space charge is significant as the ion beam travels downstream of the skimmer aperture. The ion current entering the skimmer orifice is shown to have a positive correlation with the degree of ion defocusing after the skimmer. Consequently, transmission efficiency was shown to decrease significantly for ion currents above 1-2 μA based on the simulations. It was also shown that heavier ions mostly remain around the central axis due to having higher kinetic energies. These ions can more easily penetrate the potential hill induced by space charge effect due to having higher energies. In contrast, lighter ions are defocused in the presence of heavier matrix ions due to having smaller kinetic energies. As a result of the accelerating potentials applied to the lenses and ion optics, the velocity increase for the heavier ions is less than that obtained by the lighter ones due to their mass. That is, heavier ions will move more slowly than lighter ions. Therefore, the heavier ions are better focused along the central axis which again contributes to an increased number density of heavy ions and their contribution to matrix effects. It was observed that as the current of ions entering the skimmer increases, the transmission efficiency of lighter ions is deteriorated to that of the heavier ones. In other words, transmission efficiency is a strong function of kinetic energy, where higher kinetic energies lead to better transmission efficiency.
As the ion beam travels downstream of the skimmer cone, the Debye length increases due to a decrease in ion density. This causes the electrons to diffuse away from the ion beam, thereby contributing to space charge effects. Isotope ratio measurements are also biased against the lower mass isotopes due to space charge effects. This effect is even more significant for elements with lighter mass. Some of the problems due to space charge may be partly overcome by generating more energetic ions which can be achieved by increasing the plasma potential or accelerating the ions as soon as possible after being sampled from the plasma.
In cases where an RF confinement field is used to focus the ion beam, the limited transmission capability depends on the “pseudo-potential well depth” of the RF field. Therefore, transmission of the atomic ions of interest is dependent on the presence of unwanted molecular/atomic ions. Specially, in an Ar ICP, most of the sampled ions are of argon which fill the pseudo-potential well of the RF field and leave less room for the ions of interest.
Here we describe methods to reduce the presence of unwanted ions within the pseudo-potential well of the RF fields, thereby reducing space-charge effects. This leaves more room available for the ions of interest and, hence, leads to increased transmission of the desired ions into the mass analyzer.
Embodiments herein will hereinafter be described in conjunction with the appended drawings provided to illustrate and not to limit the scope of the claims, wherein like designations denote like elements.
Exemplary embodiments of the present invention are described in the following paragraphs with referring to the figures and without limiting the scope of the invention.
Initially, a general description of time-varying fields is provided.
where EDC is the electric field due to the applied resolving DC potential, VDC is the resolving DC potential applied to the rods, ERF is the field due to the RF potential, VRF is the amplitude of the RF voltage applied to the rods, r0 is half the distance between two opposing rods, and ω is the angular frequency of the RF field.
Typically, a positive potential is applied to two opposing rods and a potential with the same amplitude but negative polarity is applied to the other two rods, as shown in
The ions enter the space between the four rods along the z axis (along the rods, not shown). These ions maintain their velocity along the z axis as they travel through the mass spectrometer. However, they will be subject to forces in the x and y directions due to the RF and DC fields. Based on Newton's second law and Coulomb's law, the force acting on a charged particle inside the rods can be defined as:
in which F is the force acting on the particle, m is the mass of particle, a is acceleration, e is the elementary charge, and Z is the number of charges per particle. By substituting Et into the above equation, a second order differential equation is obtained as below:
In other words, the equations of motion for a charged particle inside the rods in the x and y (plane of the cross section of the rods, not shown) directions can be arranged as:
Based on these equations, the position of each ion within the rods can be determined at any given time. As long as the x and y coordinates for an ion inside the rods remain less than r0, the ion will pass through without hitting the rods. Otherwise, the ion is considered unstable, hits one of the rods and is lost. Mathieu [26] has provided a solution for the following form of differential equation:
By comparing this equation with the ones obtained above, using a change of variable in the form of ξ=ωt/2, the equation of motion for charged particles can be written in the form of Mathieu equation. Consequently, a comparison readily reveals that:
The solution of the Mathieu equation leads to a set of solutions for which the ions would be stable and pass through the ion guide.
In the case where a DC potential is applied to the rods (as shown in
For an ion traveling through the rods, the motion frequency of the ion (i.e., the resonance frequency, ωres) is given by:
The number of ions that can be contained in an ion guide is proportional to its potential well depth. The size of the potential well depth depends on the ion guide geometry, applied RF voltage and frequency, and mass of the ion. Therefore, based on Dehmelt approximation, the potential well depth D can be defined as:
When the number density of charged particles entering the ion guide is higher than what the ion guide can accept based on its potential well depth, some of the ions will not be allowed to enter and will be lost. In such a case, it would be desirable to prevent the unwanted ions from entering the ion guide in order to maximize the number of ions of interest to enter the ion guide. As such, reducing the space charge effects for an ion guide is desirable.
For pressurized ion guides, at pressures between (0-50 mbar), Mathieu boundary conditions are intact and well-defined. Collision of ions with the background gas cause them to lose radial and axial energy and be focused to the centerline of the ion guide. This is called “collisional focusing”.
An auxiliary excitation would cause the ions to gain radial energy (50-100 eV), overcome the confinement field, and therefore be ejected out of the space between the rods. This can be used to eject the unwanted ions and reduce space charge effects within the ion guide. Auxiliary excitation can be achieved by methods such as applying resolving DC or radial RF dipolar/quadrupolar excitation based on the Mathieu stability diagram.
Auxiliary excitation can be achieved by the following methods: By applying resolving DC potential to the rods; by applying an RF dipolar or quadrupolar field; by performing near-instability excitation (i.e., at q=0.85-0.9), and by 2-D to 3-D field conversion, where for ions of a selected mass to charge ratio, some of the ion's radial energy converts into axial energy. This is known as axial ejection.
Unstable ions typically gain energy (≈50-100 eV) before being ejected. This gain of radial energy by the ions induces ion fragmentation, de-clustering, or ejection, depending on the pressure within the ion guide. At pressures above 50 mbar, Mathieu parameters will shift and require adjustment.
Another embodiment of the present invention is shown in
Another method for reducing the effects of space charge is by adding auxiliary quadrupolar or dipolar RF potential VRF to the quadrupole. This is shown in
As a result of applying the auxiliary quadrupolar and dipolar RF potential, ions that have a resonance frequency equivalent to the frequency of the auxiliary RF field will gain radial energy inside the quadrupole. These ions will either be radially ejected out (i.e., radial ejection), become fragmented, or become de-clustered.
Another embodiment of the present invention is shown in
Another embodiment of the present invention is schematically shown in
| Filing Document | Filing Date | Country | Kind |
|---|---|---|---|
| PCT/CA2022/051304 | 8/29/2022 | WO |
| Number | Date | Country | |
|---|---|---|---|
| 63238614 | Aug 2021 | US |