High resolution mobility analysis of large charge-reduced electrospray ions
10163615 ยท 2018-12-25
Inventors
Cpc classification
H01J49/0031
ELECTRICITY
International classification
Abstract
Achieving high conversion of large multiply charged biological ions into low charge states involves requirements difficult to reconcile when high transmission and good spray quality (resulting in narrow mobility distributions) are sought. These multiple goals are achieved in this invention by partially isolating different regions from each other with electrostatic barriers relatively transparent to ions, such as metallic grids. One such region requires high electric fields for ion generation. The other region, used for ion recombination, is approximately field-free. In an alternative arrangement intended for charge reduction in sub-millisecond times, two sources of ions with opposite polarities are placed contiguously, with a grid in between. In all cases, ion crossing through grids into field free regions is effectively driven by space charge.
Claims
1. A method to achieve narrow mobility distributions, high transmission, and substantial conversion of multiply charged analyte ions in the gas phase into primarily singly charged analyte ions via charge-reduction, according to the following steps: a) generating said gas phase analyte ions by electrospraying from an electrospray source held at a given polarity a solution containing precursors to said analyte ions, said electrospraying producing charged drops of said solution within an electrospraying (ES) region, said charged drops evaporating, being further divided by secondary atomization and releasing said multiply charged analyte ions into the gas phase; b) providing a second region maintained at a gas pressure comparable to the gas pressure in said ES region, said second region generating counterions of a polarity opposite to the polarity of said multiply charged analyte ions via a second electrospray source; c) partially isolating said ES region from said second region with an electrostatic barrier configured to substantially block interpenetration of electric fields between said ES region and said second region, yet allow passage of said counterions or said multiply charged analyte ions between said two regions, such that: (i) said electrospray source is sufficiently distant from said electrostatic barrier for said charged drops to evaporate substantially and be further divided multiple times by secondary atomization prior to reaching said electrostatic barrier; ii) some among said multiply charged analyte ions and said counterions cross said electrostatic barrier and interact with each other, resulting in reduction of the charge state of said multiply charged analyte ions; and, iii) destabilization of said electrospraying due to electric field penetration between said ES region and said second region is moderated by said electrostatic barrier; d) drawing said charge-reduced multiply charged analyte ions for subsequent utilization.
2. The method of claim 1, wherein said electrostatic barrier includes a perforated conducting surface.
3. The method of claim 1, wherein said electrostatic barrier includes a conducting grid.
4. The method of claim 3, wherein said interaction of said multiply charged analyte ions and said counterions across said electrostatic barrier is increased by selecting said conducting grid to have transparency above 30% , wire diameter smaller than 0.04.
5. The method according to claim 4, wherein said conducting grid has a transparency exceeding 50%.
6. The method of claim 1, wherein said counterions carry more than one elementary charge.
7. The method of claim 1, wherein said electrospray source includes a capillary, and, wherein said solution includes volatile salts at concentrations above 30 mM, such as to produce drops with small diameters smaller than produced by smaller salt concentrations, the faster evaporation of said drops permitting placing said capillary much closer to said conducting grid than at smaller salt molarities, greatly enhancing the concentration of said multiply charged analyte ions crossing through said electrostatic barrier.
8. The method of claim 1, wherein said electrostatic barrier is placed between said electrospray source of said given polarity and said second electrospray.
9. The method of claim 1, wherein said charge-reduced multiply charged analyte ions drawn for subsequent utilization have a polarity opposite to said given polarity.
10. A method to achieve narrow mobility distributions, high transmission, and substantial conversion of multiply charged analyte ions in the gas phase into primarily singly charged analyte ions via charge-reduction, according to the following steps: a) generating said gas phase analyte ions by electrospraying from an electrospray source held at a given polarity a solution containing precursors to said analyte ions, said electrospraying producing charged drops of said solution within an electrospraying (ES) region, said charged drops evaporating, being further divided by secondary atomization and releasing said multiply charged analyte ions into the gas phase; b) providing a second region maintained at a gas pressure comparable to the gas pressure in said ES region, said second region including means to generate counterions, said means to generate counterions including one or more of an electrical discharge, a second electrospray source, a radioactive source, X-rays, and UV photons, said counterions primarily being of a polarity opposite to the polarity of said multiply charged analyte ions, wherein said counterions carry more than one elementary charge; c) partially isolating said ES region from said second region with an electrostatic barrier configured to substantially block interpenetration of electric fields between said ES region and said second region, yet allow passage of said counterions or said multiply charged analyte ions between said two regions, such that: (i) said electrospray source is sufficiently distant from said electrostatic barrier for said charged drops to evaporate substantially and be further divided multiple times by secondary atomization prior to reaching said electrostatic barrier; ii) some among said multiply charged analyte ions and said counterions cross said electrostatic barrier and interact with each other, resulting in reduction of the charge state of said multiply charged analyte ions; and, iii) destabilization of said electrospraying due to electric field penetration between said ES region and said second region is moderated by said electrostatic barrier; d) drawing said charge-reduced multiply charged analyte ions for subsequent utilization.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
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GLOSSARY
(13) ESI: Electrospray ionization
(14) MS: mass spectrometry
(15) IMS: ion mobility spectrometry
(16) FWHM: relative full width at half maximum
(17) DMA: Differential mobility analyzer
(18) CR: charge-reduction or charge-reduction chamber
(19) C18: tetraoctadecylammonium ion, (C.sub.18H.sub.37).sub.4N.sup.+
(20) TEAF: triethylammonium formate
(21) IgG : Immunoglobulin G
(22) UV: Ultraviolet
DETAILED DESCRIPTION OF THE INVENTION
(23)
(24)
(25) In order to control the destabilizing penetration of counterions into the ES chamber, in addition to varying the axial position of the capillary tip, various washers and screens could be placed immediately downstream the thin plate orifice. The charge-reduction chamber is slightly longer than twice the length of the Ni source, whence additional control could be achieved by putting the source either immediately downstream the thin plate orifice (3), or 0.7 cm downstream from it. The first (closer) position was mainly investigated here, though several experiments used two identical sources in series, whose internal walls were each coated with 5 mCi of Ni-63.
(26) A flow rate typically of 1 to 3 L/min of bottled dry air or CO.sub.2 entered through the top tube (8) into the ES chamber (5), conveyed the electrosprayed ions of proteins or other species through thin plate orifice (3), and carried them through the CR chamber into the inlet (7) of a differential mobility analyzer (DMA) of the Half-Mini type, where their mobility was determined. This DMA is described by Fernandez de la Mora and Kozlowski in J. Aerosol Sci. 57, 45-53, 2013. Mobility spectra are obtained by fixing an axial flow rate of drift gas in the DMA, fixing also sample inlet and outlet flow rates to the DMA, and scanning over the voltage difference between the two cylindrical DMA electrodes containing an inlet and an outlet slit, respectively. Under these conditions the DMA voltage is strictly proportional to the inverse ion mobility, through a calibration constant determined here with the tetraoctadecylammonium ion (C.sub.18H.sub.37).sub.4N.sup.+, or C18), used as a mobility standard. This ion is the most mobile peak produced by electrospraying an ethanol solution of tetraoctadecylammonium bromide, whose mobility in room temperature air (Z.sub.s=0.6 cm.sup.2 V/s) was determined in this work, with details recently reported by Fernandez de la Mora (Aerosol Sci. & Techn., 49:1, 57-61, 2015).
(27) The sheath gas used by the DMA was room air at its ambient humidity, with a minimal contribution of CO.sub.2 from the much smaller flow of sample gas. The detector used for the DMA-selected ions was not of the sensitive CNC type commonly used in GEMMA. Instead we relied on an operational amplifier electrically connected to a HEPA filter encased in a Faraday cage, where the current of mobility-selected ions in the air flow exiting the DMA at a flow rate of 2-3 L/min was captured and measured. This electrical detector is sensitive enough in our system to give good signal/noise at 1 M protein concentration. Experiments without charge-reduction were performed by unscrewing from the ES chamber the Ultratorr fitting (4) holding the Ni-63, and replacing it with an almost identical fitting not containing the radioactive element.
(28) Ovalbumin (chicken egg) and immunoglobulin IgG (rabbit), both from Sigma, were used mostly without any desalting or other purification. In a few final measurements ovalbumin was desalted 6 successive times by centrifugal ultrafiltration of 0.5 cc of a 75 M solution in deionized water (PALL corporation, cutoff mass of 10 kDa). Ammonium acetate and a solution 1M of triethylammonium formate (TEAF) in water were from Fluka. (C.sub.18H.sub.37).sub.4NBr was from Sigma Aldrich and Alfa Aesar, respectively.
(29) Electrospraying fused silica capillary emitters 365 m in outer diameter were either purchased from New Objective (30 m tip pulled from an original inner diameter of 70 m), or home-pulled under a flame from a commercial silica capillary (Polymicro). The home-pulled tips spanned diameters from 15 down to a few m. The larger tips were polished on a flat rotating alumina surface while rotating the capillary by hand about its axis.
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(31) Gridless configuration with nanospray tips.
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(34) The data discussed so far are of interest to illustrate what can be achieved with nanospray capillaries that minimize the destabilizing effects of the charge-reducing ion cloud on an emitter exposed to the counterions. However, this interaction is very sensitive to tip geometry, leading to hard to reproduce results when the sharpening technique is not well controlled. For instance, using commercial Picotip capillaries from New Objective pulled into a 30 m tip OD from an initial 100 m capillary ID, it is rather hard to stabilize the Taylor cone even when the emitting tip is 3 mm upstream from the thin plate orifice (3). It is interesting that the GEMMA approach is apparently not subject to these problems, yet uses typically a distance L of 3 mm, and relies on tip diameters in the range of 30 m or more, producing clearly visible Taylor cones. A possible cause for this difference is the much larger volume in the GEMMA charge-reduction chamber, probably limiting the magnitude of the negative ion current that may be drawn into the electrospray region. As long as this current is small enough to be fully consumed in the spray region, without reaching the continuous jet at the tip of the Taylor cone, it cannot affect the stability of the meniscus.
(35) Gridded configuration. In view of the spray stability difficulties encountered, and in order to maintain our compact charge-reduction chamber geometry, we have sought to reduce the penetration of the tip's electric field into the bipolar ion cloud region by reducing with a washer the aperture of the sharp edge orifice. This greatly increases ES stability, but diminishes the efficiency of charge-reduction because the flow of gas going through a smaller opening forms a narrower and faster jet, reducing the time and volume of contact with the bipolar ions. A better partition avoiding this jetting is a metallic grid. For instance, with a square mesh (0.01 inch wire diameter, 30 wires/inch) placed immediately downstream the thin plate orifice partition, the spray is as stable with the radioactive Ni-63 piece in place as without it, even when the capillary tip is brought very close to the partition. The following tests including this gridded geometry have used ovalbumin solutions in 50-100 mM buffers of aqueous ammonium acetate. This salt produces an initial charge state z.sub.in14 considerably greater than TEAF, enabling a more rigorous challenge of the charge-reducing capacity of the device.
(36)
(37) This implies that the relatively good transmission efficiency of ions through the present grid would be further improved in a more transparent grid. This would not necessarily imply an undesirable increased anion penetration into the ES region, since this penetration is governed by the size of the opening, which may be controlled independently of transparency by selecting a smaller wire.
(38) On the width of charge-reduced peaks. The thick line data of
(39) TABLE-US-00001 TABLE 1 Width of mobility peaks in gridded configuration for the singly charged ovalbumin monomer of FIG. 5 (inset) at varying DMA drift gas velocities. Peak voltage (kV) 3.04 3.53 4.06 4.51 FWHM (%) 4.22 3.92 3.67 3.69
(40) Acidification of the solution results in modestly narrower peaks, as well as mobilities slightly larger (3-4%) than in ammonium acetate. This reduction in cross section is comparable to the variations observed upon increasing the quality of the spray, and may be due to a decrease in adduction rather than to a real compaction of the structure.
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(42) Knowing the expected width of protein peaks enables an estimate of the number of individual biomolecules that could be distinguished in a complex mixture. We focus on proteins ranging in mass from 0.1 to 4 MDa, whose singly charged ions would be much harder to analyze with conventional MS detectors. Their surface areas (assuming them to be spheres) and therefore their electrical mobilities with z=1 would span approximately a range 40.sup.2/3. The number N of different proteins that could be differentiated if FWHM were 3% can be estimated as N=log(40.sup.2/3)/log(1.03)=83.
(43) Extrapolations to larger proteins. Because the time theoretically required for reducing the initial charge state z.sub.in of a globular ion to unity scales with its mass m as ln(z.sub.in)ln(m)/2, a slow deterioration of the charge reduction efficiency (in the form of an increased survival of z=2 ions) should be expected at increasing masses. Besides the Ovalbumin multimer measurements of
(44) Certain generalizations of the first embodiment of the invention so far discussed will now be introduced. While a radioactive source of counterions offers certain advantages, regulatory requirements have encouraged the development of alternative counterion sources. As previously noted, these have included electrical discharges, ultraviolet (UV) radiation and X-rays. Various authors have achieved charge reduction by combining the products of a positive with a negative electrospray source, as already discussed in relation to the work of McLuckey and colleagues. An electrospray source is particularly indicated when the counterion is multiply charged, since no other ion source is able to produce even doubly charged ions under thermal conditions. As noted by McLuckey and colleagues, negatively charged ions can be produced from cations far more efficiently by combining a singly charged cation with a doubly charged anion, than by attachment of an anion to a neutral molecule. These generalizations are accordingly included in the present invention. Also included are CR chambers considerably larger than the one previously described, which offer an increased ability to charge-reduce very large biological ions such as proteins and viruses. For instance, we have successfully tested a larger cylindrical charge reduction chamber whose axial length and diameter both approach 1, and whose inner cylindrical wall is coated with 10 mCi of Ni-63. This chamber successfully charge-reduces the largest particles tested, corresponding to a virus with a diameter in excess of 60 nm. The advantages of larger chambers are of two kinds. First, the range of particles is of several cm, so a chamber with a small radius has the problem that particles emitted from one side of the chamber collide with the opposite side much before their full ionizing power is used. Furthermore, the residence time of analyte ions in the chamber is proportional to the chamber volume, whence a greater charge reduction power is achieved in a larger chamber.
(45) We now address the considerable difference between a charge reduction chamber with a radioactive or an X-ray source, producing approximately as many anions as cations (bipolar source), and one with an ion source primarily of a single polarity, such as a corona discharge or an electrospray source (unipolar source). As the multiply charged analyte cations cross the partition or grid leading into a CR chamber with bipolar ions, the analyte ions all have the same polarity and tend initially to continue expanding laterally by Coulombic repulsion, as they did in the ES chamber. Simultaneously, their space charge repels the cations and attracts the anions present in the bipolar charger, rapidly reducing the space charge loss of analyte ions and enabling good analyte ion transmission even at relatively large residence times. This neutralization takes place without the need to impose electric fields in the charge reduction chamber. The process is essentially driven by space charge. In fact, if electric fields were externally imposed within the CR chamber, the cations would be pushed in a direction opposite to the anions, reducing the chance that the tow ion types would meet to achieve charge reduction, and resulting in the fast loss of ions of both polarities to the walls. For this reason, the interior of the CR chamber must ideally be kept free from fields. This ideal, however, is opposed by the penetration of external fields necessarily existing in the ES chamber into the CR chamber. Accordingly, such a grid or partition is advantageous not only to the quality of the spray (as already noted), but also to the efficiency of the charge-reduction process.
(46) We now consider the case when charge reduction of the analyte ions is achieved primarily with unipolar ions. In this case the two oppositely charged ion clouds attract each other even more efficiently than in the bipolar neutralizer of
(47) Similarly to the apparatus shown in
(48) The generation of counterions calls for additional details. Radioactive, X ray and UV sources generate typically a multitude of small singly charged ionic species. The nature of these counterions is often difficult to control, since the species initially produced by ionization of carrier gas molecules is quickly transferred to larger contaminating vapor species generally present at very low concentrations. Greater control of the nature of these ions is certainly possible, but it requires high standards of cleanness. Another problem associated to radioactive, X ray and UV sources is that they all involve particles with energies high enough to convert existing organic volatiles into unstable species which tend to aggregate and condense, complicating the initial composition of the gas. An electrospray source of counterions offers a number of advantages, provided it is suitably designed. Electrospraying solutions containing involatile impurities results in the formation of undesirable nanoparticles, each containing the involatile residues from the drying of a solution drop. Electrospraying very pure deionized water yields numerous ion species (Na.sup.+, K.sup.+, etc.) as well as solid residue nanoparticles. One way to produce primarily a single species of counterions with little company of contaminating nanoparticles is to add substantial quantities of volatile electrolytes to a high purity solvent. For instance, a 100 mM aqueous solution of triethylammonium formate electrosprayed in positive mode produces almost exclusively ions of triethylammonium (TEA.sup.+) with very little solid residue composed of exceedingly small nanoparticles (1 nm). The reason for the smallness of these residues is that the high solution conductivity produces very small initial drops. The reason for the dominance of TEA.sup.+ ions is that its high solution concentration and its facile ionization overwhelms all other impurity ions initially in the solution. Another important consideration is that electrospraying requires electric fields comparable to those producing breakdown of the gas. If this takes place, stabilization of the spray is rather difficult or impossible. This problem is particularly acute in negative mode, and in high surface solvents like water. The production of multiply charged biological ions often requires the use of highly conducting aqueous electrolytes, whose tendency to form discharges may be counteracted with properly sharpened capillary tips in the positive mode. For this reason, a preferred mode of operation would combine multiply charged analyte cations from a positive electrospray with anions from a negative electrospray. A preferred solvent to avoid electrical discharges in this negative spray is an organic liquid of moderate surface tension, for instance, methanol or ethanol, both sufficiently polar to dissolve high concentrations of involatile salts. The counterion could be formate from TEAF. However, formate may tend to shed its charge to other solution species and vapor impurities. A larger and more electronegative anion such as trifluoroacetate would be preferable from the viewpoint of minimizing the number of different counterion species. Many other moderately large electronegative anions would be similarly effective.
(49) Another singular advantage already discussed of ESI as a source of counterions is the possibility of producing di-anions, from which charge inversion of the original multiply charged cations can be achieved with much higher efficiency (much higher final concentration of charge-inverted ions) than with singly charged anions. This possibility has never been previously demonstrated at atmospheric pressure, but can be achieved under ambient conditions similarly as previously demonstrated in the vacuum system of tandem mass spectrometers. Suitable electrospraying solutions for di-anion production have been discussed by He, M, J. F. Emory, S. A. McLuckey, Reagent Anions for Charge Inversion of Polypeptide/Protein Cations in the Gas Phase, Anal. Chem. 2005, 77, 3173-3182, and involve preferably di-carboxylic acids such as 2,6-Naphthalenedicarboxylic acid, P-Phenylenedipropionic acid, etc. These weak acids are not suitable to impart high conductivity to the sprayed solutions, which should contain far less than mM concentration of these di-anionic species. The necessary conductivity should be imparted by adding to the solution volatile electrolytes containing ions such as ammonium hydroxide that will not compete for negative charge with the di-carboxylic acid reagents. Those familiar with the art would provide comparable alternatives such that the charge goes predominantly to dianions, while minimizing the production of singly charged anions and solid residues.
(50) Another embodiment of the invention will now be discussed enabling charge reduction within unusually short time scales. In the previous embodiments, charge reduction took place in a field-free CR chamber, which needs to be separate from the chamber where the multiply charged analyte ions are generated. Residence times for the ions in the electrospray chamber can be made as short as the evaporation time of the drops, which for volatile nanospray drops 10 or 20 nm in diameter is just a few is, even at room temperature. Residence times in the charge reduction chamber so far discussed are typically much larger. For instance, for a Ni-63 ring 0.7 cm both in length and inner diameter, the residence time is 8 ms at a flow rate of 2 lit/min. For a larger ring 2.4 cm in both inner diameter and length, this time would be 103 ms. For small naturally charged ES ions these long times would be fatal because the signal would decay radically due to space charge repulsion. However, once the spray charge has decreased greatly as a result of charge reduction, high ion transmission can be achieved. On the other hand, there are situations when it is most advantageous to analyze the ions within times smaller than 1 ms following their production. No method to implement charge reduction at such short times has been previously available at near atmospheric pressures. A certain level of charge reduction is however achievable within such short times, as illustrated in
(51) The configuration of
(52) Once electric fields are allowed to exist in the charge reduction region, additional electrostatic elements can be introduced to extract ions into the analyzer. The reason why electric fields are generally undesirable in the CR chamber is because they push anions and cations in opposite directions, reducing their chances of recombining. However, in the configuration of
REFERENCES CITED
U.S. Patent Documents
(53) U.S. Pat. No. 4,531,056, July 1985, Labowsky et al., Method and apparatus for the mass spectrometric analysis of solutions U.S. Pat. No. 4,790,650, December 1988, Keady, Condensation nucleus counter U.S. Pat. No. 5,076,097, December 1991, Zarrin et al., Method and apparatus for determining concentration of macromolecules and colloids in a liquid sample U.S. Pat. No. 5,247,842, September 1993, Kaufman et al., Electrospray apparatus for producing uniform submicrometer droplets U.S. Pat. No. 5,581,080, December 1996, Fenn et al, Method for determining molecular weight using multiply charged ions U.S. Pat. No. 5,686,726, November 1997, Fenn et al., Composition of matter of a population of multiply charged ions derived from polyatomic parent molecular species U.S. Pat. No. 6,118,120, Fenn et al., September 2000, Multiply charged ions and method for determining the molecular weight of large molecules U.S. Pat. No. 6,544,484, April 2003, Kaufman et al., Aerosol charge adjusting apparatus employing a corona discharge U.S. Pat. No. 7,796,727 B1, September 2010, Kaufman, Aerosol charge conditioner
Other Publications
(54) Fenn, J. B., Mann, M., Meng, C. K., Wong, S. F., Whitehouse, C. M., Electrospray ionization for mass spectrometry of large biomolecules. Science 1989, 246, 64-71. S. F. Wong, C. K. Meng, and J. B. Fenn, J. Phys. Chem. 1988, 92, 546-550 Reid G. E., Wells, J. M., Badman, E. R., McLuckey, S. A., Int. J. Mass Spectro 2003, 222, 243-258. Scalf, M., Westphall, M. S., Krause J., Kaufman, S. L., Smith, L. M., 1999, 283, 194-197. S. L. Kaufman, J. W. Skogen, F. D. Dorman, F. Zarrin, K. C. Lewis, Anal. Chem. 1996, 68, 1895-1904. J. Fernndez de la Mora and J. Kozlowski, J. Aerosol Sci. (57) 45-53, 2013. S. L. Kaufman, J. Aerosol Sci. (29), 537-552, 1998 D. R. Oberreit, P. H. McMurry & C. J. Hogan Jr., Aerosol Sci. & Techn., 2014, 48:1, 108-118 J. Wang, V. F. McNeill, D. R. Collins, R. C. Flagan, Aerosol Sci. & Techn., 2002, 36(6), 678-689 Knutson, E. O., & Whitby, K. T., J. Aerosol Sci., 1975, 6, 443-451. Guha, S., Li, M., Michael, J. Tarlov, Zachariah, M. R., Trends in Biotechnology, 2012, 30, 291-300 C. S. Kaddis, S. H. Lomeli, S. Yin, B. Berhane, M. I. Apostol, V. A. Kickhoefer, L. H. Rome, J. A. Loo, J. American Soc. Mass Spectrom., 2007, 18, 1206-1216. G. Bacher, W. W. Szymanski, S. L. Kaufman, P. Zollner, D. Blaas, G. Allmaier, J. Mass Spectrom, 2001, 36, 1038-1052. A. Maisser, V. Premnath, A. Ghosh, T. A. Nguyen, M. Attoui, C. J. Hogan, Phys. Chem. Chem. Phys., 2011, 13, 21630-21641. J. Fernndez de la Mora, S. Ude, B. A. Thomson, Biotechnol. J. 2006, 1, 988-997 P. Martnez-Lozano and J. Fernndez de la Mora, J. Aerosol Sci., 2006, 37, 500-512 B. K. Ku, J. Fernandez de la Mora, D. A. Saucy, J. N. Alexander, Anal. Chem. 2004, 76, 814-822. D. A. Saucy, S. Ude, I. W. Lenggoro, J. Fernandez de la Mora, Anal. Chem., 2004, 76, 1045-1053. C. Laschober, C. S. Kaddis, G. P. Reischl, J. A. Loo, G. Allmaier, W. W. Szymanski, J. Exp. Nanosci. 2007, 2(4) 291-301 Konemann, L., Ahadi, E., Rodriguez, A. D., Vahidi, S., Anal. Chem., 2013, 85, 2-9 Consta, S., Malevanets, A., Phys. Rev. Lett., 2012, 109, 148301 Fernandez de la Mora, J., Analytica Chimica Acta, 2000, 406, 93-104. R. You, M. Li, S. Guha, G. W. Mulholland, M. R. Zachariah, Anal Chem, 2014, 86, 6836-6842. de Juan, L., and J. Fernndez de la Mora, J. Coll. and Interface Sci, 1997, 186, 280-293 Kaufman, S. L., Zarrin, F. and Dorman, F., U.S. Pat. No. 5,247,842, 1993. J. Fernndez de la Mora, Ann. Rev. Fluid Mechanics, 2007, 39, 217-243. J. Fernndez de la Mora, Aerosol Sci. & Techn., 2015, 49:1, 57-61. Ude S., J. Fernndez de la Mora, J. Aerosol Sci., 2005, 36:1224-1237. May, J. C., C. R. Goodwin, N. M. Lareau, K. L. Leaptrot, C. B. Morris, R. T. Kurulugama, A. Mordehai, C. Klein, W. Barry, E. Darland, G. Overney, K. Imatani, G. C. Stafford, J. C. Fjeldsted, J. A. McLean, Anal. Chem. 2014, 86, 2107-2116 He, M.; McLuckey, S. A., J. Mass Spectr., 2004, 39(11), 1231-1259 He, M, J. F. Emory, S. A. McLuckey, Anal. Chem. 2005, 77, 3173-3182 Friedlander, S. K., Smoke, dust, and haze: fundamentals of aerosol dynamics. Oxford University Press, New York, 2000. C. J. Hogan, J. Fernandez de la Mora, J. Am. Soc. Mass Spectr., 2011, 22, 158-172. J. Fernandez de la Mora, R. Borrajo-Pelaez, M. Zurita-Gotor, J. Phys. Chem. B 2012, 116, 9882-9898 Hogan, C.; Ruotolo, B.; Robinson, C.; Fernandez de la Mora, J., J. Phys. Chem. B, 2011, 115(13), 3614-3621. J. Fernandez de la Mora, R. Borrajo-Pelaez, M. Zurita-Gotor, J. Phys. Chem. B 2012, 116, 9882-9898 Fernndez de la Mora, Aerosol Sci. & Techn., 49:1, 57-61, 2015.