Mass spectrometry is a technique that analyzes the chemical compositions of compounds based on the mass-to-charge ratio of their ionized constituents. Miniaturized ion trap mass spectrometry finds application in a wide range of fields where portable, rugged, and reliable analytical instruments are required. Ion traps of various designs have been introduced over the past decades, each with their own unique advantages and capabilities. However, the process of developing a novel miniaturized ion trap mass spectrometer continues to be fraught with challenges. This dissertation discusses simulation studies pertaining to the development of a novel dual ion trap, the simplified coaxial ion trap, consisting of a simplified toroidal ion trap and a cylindrical ion trap. Ions are initially trapped in the toroidal region and the target ions are transferred to the cylindrical region where they are fragmented and mass analyzed, while the rest of the ion population remains securely trapped in the toroidal region. The compact design and extended trapping volume secure several advantages that are not available to conventional ion trap designs. The simulations were geared towards the determination of an optimized geometry and optimal operating conditions for the simplified coaxial ion trap. Four main criteria were used in the determination of the ideal geometric and operating conditions; namely, mass-selectivity of transfer from the toroidal to cylindrical traps, transfer and trapping efficiency in the cylindrical ion trap, mass resolution, and unidirectional ejection. The optimized geometry demonstrates successful trapping of ions in the toroidal region and selective transfer of target ions to the cylindrical region. Unidirectional inward ejection of ions could be achieved with a positive hexapole component in the electric field. The mass resolution under optimized conditions of the toroidal trap was 0.3 Da (FWHM), which agrees with the experimental value. The simplified coaxial ion trap yielded a total transfer and trapping efficiency of 25%. A number of suggestions to improve the efficiency are also discussed as part of this work.

Radio frequency (RF) ion traps based on the quadrupole device developed by Paul and Steinwedel utilize a dynamic electric field to spatially confine the trajectory of charged particles and may be employed as mass spectrometers by selectively ejecting trapped molecules based on the mass to charge ratio. Because of the inherent sensitivity and specificity of this process, ion trap mass spectrometers have become a popular scientific instrument. In the past two decades there has been a push to develop portable ion trap mass spectrometers for in situ mass analysis by geometrically scaling traps to smaller sizes. This decreases the power and vacuum requirements which allows field portable instruments to use smaller/less powerful vacuum pumps and batteries. This dissertation presents the process of miniaturizing the planar linear ion trap (PLIT) to a microscale radius in order to investigate the scaling limits of mass spectrometers. The ultimate end goal is the integration of a PLIT into a portable mass spectrometry system. The PLIT consists of two flat, non-conducting plates, on which fine metal electrodes are patterned using standard microfabrication processes, including photolithography. An RF field is distributed across the electrodes to create a quadrupole electromagnetic potential which traps ions based on their mass to charge ratio. While simple in concept, the PLIT has been developed over a ten-year period including an investigation of a variety of substrate materials and design geometries. This dissertation briefly reviews the optimal fabrication flow and why the stated parameters have advantages over other possible combinations in a coplanar ion trap. Since ion trap miniaturization reduces the trapping volume (which also worsens the SNR and resolution of a mass spectrum), a novel RF phase tracking circuit was developed to exploit a phase locked condition during double resonance ejection. This was implemented on the PLIT to increase SNR before constructing the µPLIT. Better than unit resolutions (0.5 Da, FWHM) and SNR improvements were observed.Lastly, the successful miniaturization of the PLIT to a microscale radius is presented. This was done by redesigning the electrodes on the PLIT surface to have an equivalent trap radius (ro) of 800 μm. The μPLIT successfully confined then resonantly ejected ions with resolutions of approximately 2-3 Da. The performance of the μPLIT was also tested over a range of pressures from 2.5-42×10-3 Torr and retained resolutions between 2.3-2.7 Da. Ultimately, the μPLIT was shown to retain resolutions viable for portable mass spectrometry at pressures in the tens of millitorr while consuming a factor of 3.38 less power than the unscaled PLIT.

New ion trap mass spectrometry (ITMS) instrumentation, the toroidal IT and halo IT, were developed to meet the significant growth in on-site analysis applications. The miniature toroidal IT mass analyzer was operated with radio frequency (RF) trapping voltages of 3 kVp-p or less. Despite its reduced dimensions, it has roughly the same ion trapping capacity as conventional 3D quadrupole ITs. Unit-mass resolved spectra for n-butylbenzene, xenon, and naphthalene were obtained. The desired linear mass scale was obtained using conventional mass-selective instability scan combined with resonance ejection. The halo IT was also based on toroidal trapping geometry and microfabrication technology, consisting of two parallel ceramic plates, the facing surfaces of which were imprinted with sets of concentric ring electrodes. Unlike conventional ITs, in which hyperbolic metal electrodes establish equipotential boundary conditions, electric fields in the halo IT were established by applying different RF potentials to each ring. The potential on each ring could be independently optimized to provide the best trapping field. The halo IT featured an open structure, allowing easy access for in situ ionization. The toroidal geometry provided a large trapping volume. The photolithographic fabrication method avoided difficulty in meeting the required machining tolerances. Preliminary mass spectra showed resolution (m/δ m) of 60–75 when the trap was operated at 1.9 MHz and 500 Vp-p. Ion ejection through a hole in the center of the trap, and through slits machined in the ceramic plates were evaluated. The latter ejection method was done to mimic the design of the toroidal IT. The preferred electric fields containing higher order components were optimized by adjusting the potentials applied to the electrode rings of the halo IT without changing the original trapping plates and structure of the IT. The performance of the halo IT with 1% to 7% octopole field (A4/A2) components was determined. A best resolution of 280 (m/δ m) was obtained with 5% octopole field. SIMION simulations were used to demonstrate the toroidal trapping of ions and their mass analysis in both toroidal and halo ITs.

A new approach of making ion trap mass analyzers was developed in which trapping fields are created in the space between two ceramic plates. Based on microfabrication technology, a series of independently-adjustable electrode rings is lithographically patterned on the facing surfaces of each ceramic plate. The trapping field can be modified or fine-tuned simply by changing the RF amplitude applied to each electrode ring. By adjusting the potential function applied to the plates, arbitrary trapping fields can be created using the same set of ceramic plates. Unlike conventional ion traps, the electrodes of planar ion traps have a non-equipotential surface, thus the electric field is independent of electrode geometry and can be optimized electronically. The simple geometry and open structure of planar ion traps address obstacles to miniaturization, such as fabrication tolerances, surface smoothness, electrode alignment, limited access for ionization or ion injection, and small trapping volume, thereby offering a great opportunity for a portable mass spectrometer device. Planar ion traps including the planar quadrupole ion trap and the coaxial ion trap have been designed and tested using this novel method. The planar quadrupole trap has demonstrated a mass range up to 180 Da (Th), with mass resolution typically between 400-700. We have also developed a novel ion trap in which both toroidal and quadrupolar trapping regions are created simultaneously between a set of plates. This "Coaxial Trap" allows trapping and mass analysis of ions in two different regions: ions can be trapped and mass analyzed in either the toroidal or quadrupolar regions, and transferred between these regions. Some simulation work based on the ion motion between two different trapping regions in the coaxial ion trap has been performed. Using a one-dimensional simulation method, ion motion was investigated to transfer ions between these two regions. The effect of the mutipole components in the radial field and axial field, amplitude and frequency of the primary RF and supplementary AC signal were studied to obtain high mass resolution in the axial direction and high transfer efficiency in the radial direction. In all these devices, the independent control of each patterned electrode element allows independent control of higher-order multipole fields. Fields can be optimized and changed electronically instead of physically as is done in conventional traps.

This thesis investigates the loss of high mass ions due to the initial thermal energy in ion trap mass analyzers. It provides an analytical expression for estimating the percentage loss of ions of a given mass at a particular temperature, in a trap operating with a set of conditions. The investigations have been carried out on quadrupole and cylindrical ion trap geometries. The three-dimensional Maxwellian velocity distribution function has been assumed to derive an expression for the percentage of ions lost. Adopting an approximation based on the observed escape velocity profiles of ions, an expression for the percentage loss of ions of a given mass has been derived as a function of the temperature for an ensemble of ions, its mass and its escape velocity. An analytical expression for the escape velocity has also been developed. It is seen that the escape velocity is a function of the trapping field, drive frequency and ion mass. Because the trapping field is determined by trap design parameters and operating conditions, it has been possible to study the influence of these parameters on ion loss. The parameters investigated include ion temperature, magnitude of the initial potential applied to the ring electrode (which determines the low mass cut-off), trap size, dimensions of apertures in the endcap electrodes and RF drive frequency. The studies demonstrate that ion loss due to initial thermal energy increases with increase in mass and that ion escape occurs in the radial direction. Reduction in the loss of high mass ions is favoured by lower ion temperatures, increasing low mass cut-off, increasing trap size, and higher RF drive frequencies. The dimensions of the apertures in the endcap electrodes do not influence ion loss in the range of aperture sizes considered.

This dissertation presents advances in the development of planar electrode ion traps. An ion trap is a device that can be used in mass analysis applications. Electrode surfaces create an electric field profile that trap ionized molecules of an analyte. The electric fields can then be manipulated to mass-selectively eject ions out of the trap into a detector. The resulting data can be used to analyze molecular structure and composition of an unknown compound. Conventional ion traps require machined electrode surfaces to form the electric trapping field. This class of electrode presents significant obstacles when attempting to miniaturize ion traps to create portable mass spectrometers. Machined electrodes lose required precision in shape, smoothness, and alignment as trapping dimensions decrease. Simplified electrode geometries are essential to open the way to miniaturized ion traps. The planar electrode ion trap presents a simplified geometry that utilizes photolithography processes in its fabrication. Patterns of electrodes are patterned on a planar ceramic substrate. Electric fields generated by these patterns can be nearly identical to those of ideal ion traps. The microfabrication processes involve the challenge of patterning on ceramic, patterning on two sides of a substrate, and patterning on a substrate with high topographic features. Four successful designs of planar ion traps are presented in this work: the planar Paul, toroidal, coaxial, and linear ion trap. These four designs have different strengths and weaknesses. The planar Paul trap is simpler to design and operate, the toroidal has a larger ion storage volume and so can be a more sensitive instrument, and the coaxial trap is a hybrid planar Paul and toroidal trap. The linear trap combines the simplicity of the planar Paul trap with the increased storage capacity of the toroidal trap. This work presents how these four designs advance work in miniaturized ion traps. In addition, microfabrication techniques and trap performance for these designs are presented.

This thesis report describes the design and development of an automated rat trap for sewage system. This rat trap has been designed to have a working duration of 2 months or approximately 15749 hits with trap dimensions length 535 mm, width 430 mm and a height range of 931 – 1151 mm with respect to different sewer pipe diameters. The trap weighs about 16.46 kg without the battery, pipe connectors and support connections. The trap has a response time range between 0.027 – 0.095 seconds with a striking pressure range between 16.05 – 56.19 MPa at the kill pad. The trap has a modular design to be able, to fit into different sewer pipe dimeters (100, 150, 160, 200, 225, 250, 300, 350 mm). The materials and components used for the rat trap satisfy all the requirement classifications such as working temperature, resistance to moisture and dirt, resistance to corrosion and ATEX classification. This rat trap design will be further used by Nomor AB to prototype and test it according to the Naturvårdsverket (Swedish Environmental Protection Agency) guidelines and regulations. A background study on brown rat physical characteristics and habitat, rat biology and existing trap technology were performed to set the trap’s requirement specifications in order to develop concepts. Furthermore, this thesis report concludes to a proposed evaluated trap design concept and its detailed design with analytical calculations of its motor specifications, gear box selection, trap speed, impact forces, trigger spring specifications and trap battery capacity. In addition to, a number of easily available market trap components have been studied and selected to aid with the prototyping. The critical components of the rat trap have been identified in order to validate the structural integrity of the design by finite element analysis. Finally, this report includes future work recommendations for the automated sewage rat trap. This automated sewage rat trap is a unique modular design and will help to control the ever-increasing rat population in one of its most safe habitats and is a stepping stone for more advanced sewage rat traps in the future. / Detta examensarbete beskriver utformning och utveckling av en automatiserad råttfälla för avloppssystem. Denna råttfälla har utformats för att ha en arbetstid på 2 månader eller cirka 15 749 träff med mått längd 535 mm, bredd 430 mm och ett höjdintervall på 931 - 1151 mm med avseende på olika avloppsrörsdiametrar. Fällan väger cirka 16,46 kg utan batteri, röranslutningar och stödanslutningar. Fällan har ett svarstidsintervall mellan 0,027 - 0,095 sekunder med ett slående tryckintervall mellan 16,05 - 56,19 MPa vid dödplattan. Fällan har en modulär design för att kunna monteras i olika avloppsrörsdimetrar (100,150,160,200,225,250,300,350 mm). Materialen och komponenterna som används för råttfällan uppfyller alla kravklassificeringar som arbetstemperatur, motståndskraft mot fukt och smuts, korrosionsbeständighet och ATEX-klassificering. Denna råttfälla kommer att användas ytterligare av Nomor AB för att testa den enligt Naturvårdsverket (Naturvårdsverket) riktlinjer och föreskrifter. En bakgrundsstudie om bruna råttarsfysiska egenskaper och livsmiljö, råttbiologi och befintlig teknologi utfördes för att ställa in fällans kravspecifikationer och för att utveckla ett koncept. Vidare avslutas denna avhandlingsrapport med ett föreslaget utvärderat fällesignkoncept och dess detaljerade konstruktion med analytiska beräkningar av dess motorspecifikationer, val av växellåda, fällhastighet, slagkrafter, dragfjäderspecifikationer och fällbatterikapacitet. Dessutom har ett antal lättillgängliga marknadskällkomponenter studerats och valts ut för att underlätta prototyptillverkning. De kritiska komponenterna i råttfällan har identifierats för att validera konstruktionens integritet med ändlig elementanalys. Slutligen innehåller denna rapport framtida arbetsrekommendationer för den automatiska avloppsråttfällan. Denna automatiserade avloppsråttfälla är en unik modulär design och hjälper till att kontrollera den ständigt ökande råttpopulationen i en av sina mest säkra livsmiljöer och är en språngbräda för mer avancerade avloppsråttfällor i framtiden.

Master of Arts / Department of Economics / Lloyd B. Thomas Jr / Can stimulative monetary policy be effective when there is a “liquidity trap”? This question surfaced during the Great Depression and is raising its head again today due to the current financial crisis. A definitive answer never materialized for the 1930’s, as differences of opinion between non-monetarist and monetarist economists arose about this issue. This need not be the case today. In this thesis I will first enumerate several different meanings of the term “liquidity trap” and their implications for monetary policy. Then, with data from the Federal Reserve, I will attempt to validate the likelihood of a liquidity trap. I do this for the demand for money and bank liquidity traps. I use regression analysis over a fifteen year period with varying interest rates to determine if the elasticities of demand increase as interest rates fall, indicating a liquidity trap. My use of log linear regressions for both demand for money and bank liquidity traps, using data from the present financial crisis, adds to the evidence supporting the liquidity hypothesis, but does not empirically establish the existence of a liquidity trap. Following my findings, I detail actions taken by the Federal Reserve and show the subsequent results through the summer and into the fall of 2009. From this, I make a conclusion that the United States is most likely in a liquidity trap and it does matter.

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