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Search indexed NASA NTRS and DOE OSTI research on propulsion, heat transfer, battery materials and energy systems. Follow report and document links to the original sources.

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At least 37 records · Page 2
All sourcesNASA NTRSDOE OSTI
DOE OSTI2018

Chromate Resistance Mechanisms in Leucobacter chromiiresistens

Chromate is one of the major anthropogenic contaminants on Earth. Leucobacter chromiiresistens is a highly chromate-resistant strain, tolerating chromate concentrations in LB medium of up to 400 mM. In response to chromate stress, L. chromiiresistens forms biofilms, which are held together via extracellular DNA. Inhibition of biofilm formation leads to drastically decreased chromate tolerance. Moreover, chromate is reduced intracellularly to the less-toxic Cr(III). The oxidation status and localization of chromium in cell aggregates were analyzed by energy-dispersive X-ray spectroscopy coupled to scanning transmission electron microscopy and X-ray absorption spectroscopy measurements. Most of the heavy metal is localized as Cr(III) at the cytoplasmic membrane. As a new cellular response to chromate stress, we observed an increased production of the carotenoid lutein. Carotenoid production could increase membrane stability and reduce the concentration of reactive oxygen species. Bioinformatic analysis of the L. chromiiresistens genome revealed several gene clusters that could enable heavy-metal resistance. The extreme chromate tolerance and the unique set of resistance factors suggest the use of L. chromiiresistens as a new model organism to study microbial chromate resistance.

60 APPLIED LIFE SCIENCES↗
DOE OSTI2017

Understanding and controlling chromaticity shift in LED devices

Chromaticity shift in light-emitting diode (LED) devices arises from multiple mechanisms, and at least five different chromaticity shift modes (CSMs) have been identified to date. This paper focuses on the impacts of irreversible phosphor degradation as a cause of chromaticity shifts in LED devices. The nitride phosphors used to produce warm white LEDs are especially vulnerable to degradation due to thermal and chemical effects such as reactions with oxygen and water. As a result, LED devices utilizing these phosphors were found to undergo either a green shift or, less commonly, a red shift depending on the phosphor mix in the LED devices. These types of chromaticity shifts are classified as CSM-2 (green shift) and CSM-5 (red shift). This paper provides an overview of the kinetic processes responsible for green and red chromaticity shifts along with examples from accelerated stress testing of 6” downlights. Both CSMs appear to proceed through analogous mechanisms that are initiated at the surface of the phosphor. A green shift is produced by the surface oxidation of the nitride phosphor that changes the emission profile to lower wavelengths. As the surface oxidation reaction proceeds, reactant limitations slow the rate and bulk oxidation processes become more prevalent. We found that a red chromaticity shift arises from quenching of the green phosphor, also possibly due to surface reactions of oxygen, which shift the emission chromaticity in the red direction. In conclusion, we discuss the implications of these findings on projecting chromaticity.

Davis, Lynn↗
DOE OSTI2013

Mutations in FMN Binding Pocket Diminish Chromate Reduction Rates for Gh-ChrR Isolated from Gluconacetobacter hansenii

A putative chromate ion binding site was identified proximal to a rigidly bound FMN from electron densities in the crystal structure of the quinone reductase from Gluconacetobacter hansenii (Gh-ChrR) (3s2y.pdb). To clarify the location of the chromate binding site, and to understand the role of FMN in the NADPH-dependent reduction of chromate, we have expressed and purified four mutant enzymes involving the site-specific substitution of individual side chains within the FMN binding pocket that form non-covalent bonds with the ribityl phosphate (i.e., S15A and R17A in loop 1 between β1 sheet and α1 helix) or the isoalloxanzine ring (E83A or Y84A in loop 4 between the β3 sheet and α4 helix). Mutations that selectively disrupt hydrogen bonds between either the N3 nitrogen on the isoalloxanzine ring (i.e., E83) or the ribitylphos- phoate (i.e., S15) respectively result in 50% or 70% reductions in catalytic rates of chromate reduction. In comparison, mutations that disrupt π-π ring stacking interactions with the isoal-loxanzine ring (i.e., Y84) or a salt bridge with the ribityl phosphate result in 87% and 97% inhibittion. In all cases there are minimal alterations in chromate binding affinities. Collectively, these results support the hypothesis that chromate binds proximal to FMN, and implicate a structural role for FMN positioning for optimal chromate reduction rates. As side chains proximal to the β3/α4 FMN binding loop 4 contribute to both NADH and metal ion binding, we propose a model in which structural changes around the FMN binding pocket couples to both chromate and NADH binding sites.

Khaleel, Janin A.↗
DOE OSTI2016

Evaluation of layered zinc hydroxide nitrate and zinc/nickel double hydroxide salts in the removal of chromate ions from solutions

Layered zinc hydroxide nitrate (ZnHN) and Zn/Ni layered double hydroxide salts were synthesized and used to remove chromate ions from solutions at pH 8.0. The materials were characterized by many instrumental techniques before and after chromate ion removal. ZnHN decomposed after contact with the chromate solution, whereas the layered structure of Zn/Ni hydroxide nitrate (Zn/NiHN) and Zn/Ni hydroxide acetate (Zn/NiHA) remained their layers intact after the topotactic anionic exchange reaction, only changing the basal distances. ZnHN, Zn/NiHN, and Zn/NiHA removed 210.1, 144.8, and 170.1 mg of CrO{sub 4}{sup 2−}/g of material, respectively. Although the removal values obtained for Zn/NiHN and Zn/NiHA were smaller than the values predicted for the ideal formulas of the solids (194.3 and 192.4 mg of CrO{sub 4}{sup 2−}/g of material, respectively), the measured capacities were higher than the values achieved with many materials reported in the literature. Kinetic experiments showed the removal reaction was fast. To facilitate the solid/liquid separation process after chromium removal, Zn/Ni layered double hydroxide salts with magnetic supports were also synthesized, and their ability to remove chromate was evaluated. - Highlights: • Zinc hydroxide nitrate and Zn/Ni hydroxide nitrate or acetate were synthesized. • The interlayer anions were replaced by chromate anions at pH=8.0. • Only Zn/Ni hydroxide nitrate or acetate have the structure preserved after exchange. • Fast exchange reaction and high capacity of chromate removal were observed. • Magnetic materials were obtained to facilitate the solids removal the from solutions.

36 MATERIALS SCIENCE↗
DOE OSTI2017

Chromate Binding and Removal by the Molybdate‐Binding Protein ModA

Abstract Effective and cheap methods and techniques for the safe removal of hexavalent chromate from the environment are in increasingly high demand. High concentrations of hexavalent chromate have been shown to have numerous harmful effects on human biology. We show that the E. coli molybdate‐binding protein ModA is a genetically encoded tool capable of removing chromate from aqueous solutions. Although previously reported to not bind chromate, we show that ModA binds chromate tightly and is capable of removing chromate to levels well below current US federal standards.

Karpus, Jason↗
DOE OSTI2012

Optimization and Directed, Natural Evolution of Biologically-Mediated Chromate Reduction in Subsurface Soil Microcosms (Final Technical Report)

The U.S. Department of Energy (DOE) is faced with the complex challenge of remediating or containing the various mixed wastes present in the subsurface environments of numerous DOE sites. The development of scientifically grounded strategies for the effective management and reclamation of these contaminated sites requires fundamental knowledge on the composition, dynamics, and metabolic potential of indigenous microbial communities, which are of primary importance in the fate and transport of heavy metals and radionuclides in subsurface environments. To date, the complex effect of environmental (both geochemical and biological) parameters on the bioremediative potential of subsurface microbial populations is only partially understood; this is primarily because the majority of microbial ecological studies have focused only on a qualitative analysis of subsurface microbial diversity, while the impact of quantitative changes in microbial communities as a function of environmental factors has been ignored. The project described here directly addresses the need for a more comprehensive, molecular understanding of how microbial growth and activity quantitatively relate to mineral and contaminant biotransformation (Science Element: Subsurface Microbial Ecology and Community, Notice DE-FG02-06ER06-12). The proposed study uses a truly novel combination of standard molecular phylogenetic analyses, rRNA-targeted fluorescence in situ hybridization, and mass spectrometry (MS)-based proteomics to investigate the biological response to experimentally controlled conditions and the concomitant effect on chromate reduction in situ. This response will be characterized in terms of microbial community structure (principally, population number and spatial distribution) and community proteome dynamics. Towards this overarching goal, we will (1) set up aerobic and anaerobic laboratory microcosms derived from subsurface soil collected from a chromate [Cr(VI)]-contaminated DOE site, and introduce Cr(VI)-reducing Pseudomonas putida (a facultative anaerobe) and/or Desulfovibrio desulfuricans (an obligate anaerobe) into the extant microbial community of each microcosm (Objective 1); (2) determine the qualitative and quantitative effects of organic carbon amendments on microcosm community structure, metabolic activity, and, most importantly, biologically-mediated chromate reduction (Objective 2); and (3) investigate the microbial community response from molecular and quantitative perspectives in microcosms challenged with increasing levels of chromate in order to drive selection of chromate-reducing populations (Objective 3). The proposed project is a collaborative endeavor among scientists from Purdue University and Oak Ridge National Laboratory. A unique aspect of this project is the application of shotgun MS techniques as molecular ecology tools for metabolically profiling targeted microbial species within the context of complex environmental communities and searching for unique or abundant proteins that might serve as indicators for heavy metal stress and reduction in microsites. Studies such as this one that tackle the challenge of characterizing the proteome dataset of a complex microbial microcosm will be needed to push the capabilities of current MS methodologies and to develop the next generation of microbial ecology tools of use in assessing bioremediation performance. We expect that the experimental protocols and results generated in this project will expand our quantitative and mechanistic understanding of the in situ biological contributions to metal contaminant transformation.

59 BASIC BIOLOGICAL SCIENCES↗
DOE OSTI2026

Hyperspectral radiance mapping and chromatic correction for temperature measurement in laser-heated diamond anvil cells

In laser-heated diamond anvil cell (DAC) experiments, the effective heated region typically decreases in size with increasing pressure, leading to steeper thermal gradients. Under these conditions, chromatic aberration in the optical path from sample to detector can significantly create bias in spectro-radiometric temperature measurement. We present a radiance-mapping approach using a hyperspectral camera that records 25 spectral channels spanning 605–875 nm at each pixel in a single exposure, providing spatially and spectrally resolved radiance in each frame. This enables chromatic effects to be recorded and corrected in data processing. We developed a procedure for hyperspectral mapping, involving per-camera calibration, crosstalk removal, measured spectral throughput functions, and optional sub-pixel co-registration to minimize chromatic distortion. The calibrated radiance maps are then used to derive temperature maps of the laser-heated hotspots. For smaller heating spots, the radiance mapping approach reveals chromatic shifts that conventional spectro-radiometric methods cannot quantify. Ambient-pressure heating experiments confirm accurate temperature retrieval. At high pressure, application of the hyperspectral system to a platinum-heating experiment at 12 GPa demonstrates stable temperature reconstruction under steep thermal gradients. Beyond mitigating chromatic aberrations, the ability to diagnose optical artifacts separately from emissivity variations during controlled test experiments or in situ suggests a path toward more rigorous spectral emissivity analysis and improved modeling of thermal transport in laser-heated DAC experiments.

47 OTHER INSTRUMENTATION↗
DOE OSTI2015

IMPACT OF ATMOSPHERIC CHROMATIC EFFECTS ON WEAK LENSING MEASUREMENTS

Current and future imaging surveys will measure cosmic shear with statistical precision that demands a deeper understanding of potential systematic biases in galaxy shape measurements than has been achieved to date. We use analytic and computational techniques to study the impact on shape measurements of two atmospheric chromatic effects for ground-based surveys such as the Dark Energy Survey and the Large Synoptic Survey Telescope (LSST): (1) atmospheric differential chromatic refraction and (2) wavelength dependence of seeing. We investigate the effects of using the point-spread function (PSF) measured with stars to determine the shapes of galaxies that have different spectral energy distributions than the stars. We find that both chromatic effects lead to significant biases in galaxy shape measurements for current and future surveys, if not corrected. Using simulated galaxy images, we find a form of chromatic “model bias” that arises when fitting a galaxy image with a model that has been convolved with a stellar, instead of galactic, PSF. We show that both forms of atmospheric chromatic biases can be predicted (and corrected) with minimal model bias by applying an ordered set of perturbative PSF-level corrections based on machine-learning techniques applied to six-band photometry. Catalog-level corrections do not address the model bias. We conclude that achieving the ultimate precision for weak lensing from current and future ground-based imaging surveys requires a detailed understanding of the wavelength dependence of the PSF from the atmosphere, and from other sources such as optics and sensors. The source code for this analysis is available at https://github.com/DarkEnergyScienceCollaboration/chroma.

79 ASTRONOMY AND ASTROPHYSICS↗
DOE OSTI2018

Human Perceptions of Colour Rendition at Different Chromaticities

An experiment was conducted to evaluate how subjective impressions of a light source’s color quality depend upon color rendition and chromaticity. Thirty-three participants each evaluated 50 lighting scenes in a 3.7 m by 5.5 m room filled with objects selected to cover a range of hue, saturation, and lightness. The lighting scenes included five chromaticity groups, specified here using correlated color temperature (CCT) and Duv¬: 2700 K, 0.000; 2700 K, -0.007; 3500 K, 0.000; 4300 K, 0.000; 4300 K, -0.007. Within each group were the same 10 systematically-varied color rendition conditions. The Illuminating Engineering Society (IES) TM-30-15 Fidelity Index (Rf) values ranged from 60 to 93, IES TM-30 Gamut Index (Rg) values from 88 to 124, and IES TM-30 Hue Angle Bin 1 Chroma Shift (Rcs,h1) values from -15% to 28%. All lighting scenes had the same nominal illuminance. Participants were asked to rate each scene on eight point scales for saturated-dull, normal-shifted, and like-dislike, as well as choosing whether they found the scenes to be acceptable or unacceptable. The findings suggest that color rendition preferences can vary with chromaticity, but do not support absolute preferences for negative Duv values. At 4300 K, there was no difference in rated preference, saturation, normalness, or acceptability between the two groups with different Duv values. However, at 2700 K, there was a significant difference for all four perceptions, with the negative Duv sources being rated more liked (on average)—and for nine of the ten individual color rendition conditions. Further, across all levels of red chroma shift—according to TM-30 values Rcs,h1, Rcs,h15, and Rcs,h16—the room was rated as more saturated at 2700 K than at 3500 K or 4300 K (regardless of Duv); in turn, increases in red saturation were less preferred and less acceptable at 2700 K than the other CCTs. The differences in ratings between the chromaticity groups were substantially smaller than the range in ratings for the 10 color rendition conditions in each group, and on average the best fit model uses a combination of Rf, Rcs,h16, and potentially Rg. Despite the differences in ratings for chromaticity groups, a set of criteria identified in previous research for preferred color rendition in this generic application could be used for all groups. Those criteria are Rf = 74, -1% = Rcs,h1 = 15%, and Rg = 100.

Royer, Michael P.↗
DOE OSTI2011

Surface-Enhanced Raman Imaging of Intracellular Bioreduction of Chromate in Shewanella oneidensis

This proposed research aims to use novel nanoparticle sensors and spectroscopic tools constituting surface-enhanced Raman spectroscopy (SERS) and Fluorescence Lifetime imaging (FLIM) to study intracellular chemical activities within single bioremediating microorganism. The grand challenge is to develop a mechanistic understanding of chromate reduction and localization by the remediating bacterium Shewanella oneidensis MR-1 by chemical and lifetime imaging. MR-1 has attracted wide interest from the research community because of its potential in reducing multiple chemical and metallic electron acceptors. While several biomolecular approaches to decode microbial reduction mechanisms exist, there is a considerable gap in the availability of sensor platforms to advance research from population-based studies to the single cell level. This study is one of the first attempts to incorporate SERS imaging to address this gap. First, we demonstrate that chromate-decorated nanoparticles can be taken up by cells using TEM and Fluorescence Lifetime imaging to confirm the internalization of gold nanoprobes. Second, we demonstrate the utility of a Raman chemical imaging platform to monitor chromate reduction and localization within single cells. Distinctive differences in Raman signatures of Cr(VI) and Cr(III) enabled their spatial identification within single cells from the Raman images. A comprehensive evaluation of toxicity and cellular interference experiments conducted revealed the inert nature of these probes and that they are non-toxic. Our results strongly suggest the existence of internal reductive machinery and that reduction occurs at specific sites within cells instead of at disperse reductive sites throughout the cell as previously reported. While chromate-decorated gold nanosensors used in this study provide an improved means for the tracking of specific chromate interactions within the cell and on the cell surface, we expect our single cell imaging tools to be extended to monitor the interaction of other toxic metal species.

59 BASIC BIOLOGICAL SCIENCES↗
NASA NTRS1979

Mass spectrometric investigation of the vaporization of sodium and potassium chromates: Preliminary results

Knudsen cell mass spectrometry was used to study the vaporization of sodium and potassium chromates. For both salts, the vaporization proceeds predominately by the reactions M2CrO4(c)=2M(g)+5/4O2(g)+1/2 Cr203(s) and M2CrO4(c)=M2CrO4(g) where M = Na or K. The distribution of the ions M(+), O2(+) and M2CrO4(+) in the measured mass spectrum was found to depend on the material used for the Knudsen cell, even for materials such as platinum and gold. In the case of sodium chromate, the decomposition reaction appears to be less important than the molecular vaporization reaction. A preliminary value of 72 kcal/mole at 1141 K was measured for the heat of the molecular vaporization reaction for sodium chromate. In the case of potassium chromate, it has not been possible to conclude which mode of vaporization dominates. For potassium chromate a value of 101 kcal/mole at 1173 K was obtained for the heat of the molecular vaporization reaction.

Stearns, C. A.↗
DOE OSTI2012

Optimization Of Chromaticity Compensation And Dynamic Aperture In MEIC Collider Rings

The conceptual design of the Medium-energy Electron-Ion Collider (MEIC) at Jefferson Lab relies on an ultra-small beta-star to achieve high luminosities of up to 10{sup 34} cm{sup -2} s{sup -1}. A low-beta insertion for interaction regions unavoidably induces large chromatic effects that demand a proper compensation. The present approach of chromatic compensation in the MEIC collider rings is based on a local correction scheme using two symmetric chromatic compensation blocks that includes families of sextupoles, and are placed in a beam extension area on both sides of a collision point. It can simultaneously compensate the first order chromaticity and chromatic beam smear at the IP without inducing significant second order aberrations. In this paper, we investigate both the momentum acceptance and dynamic aperture in the MEIC ion collider ring by considering the aberration effects up to the third order, such as amplitude dependent tune shift. We also explore the compensation of the third order effects by introducing families of octupoles in the extended beam area.

43 PARTICLE ACCELERATORS↗
DOE OSTI2012

Synthesis and characterization of uranyl chromate sheet compounds containing edge-sharing dimers of uranyl pentagonal bipyramids

Eight uranyl chromates have been crystallized from aqueous solution and characterized: Mg(H{sub 2}O){sub 6}[(UO{sub 2}){sub 2}(CrO{sub 4}){sub 2}(OH){sub 2}](H{sub 2}O){sub 3} (1), (NH{sub 4}){sub 2}[(UO{sub 2}){sub 2}(CrO{sub 4}){sub 2}(OH){sub 2}](H{sub 2}O){sub 3}, Rb{sub 2}[(UO{sub 2}){sub 2}(CrO{sub 4}){sub 2}(OH){sub 2}](H{sub 2}O){sub 3} (3), Cs[(UO{sub 2})(CrO{sub 4})(OH)]H{sub 2}O (4), Rb[(UO{sub 2})(CrO{sub 4})(OH)]H{sub 2}O (5) Co(H{sub 2}O){sub 4}(Co(H{sub 2}O){sub 6}){sub 2}[(UO{sub 2}){sub 4}(CrO{sub 4}){sub 6}(OH){sub 2}](H{sub 2}O){sub 4} (6), Li{sub 2}[(UO{sub 2}){sub 2}(CrO{sub 4}){sub 3}](H{sub 2}O){sub 7} (7), and Zn(H{sub 2}O){sub 6}[(UO{sub 2}){sub 2}(CrO{sub 4}){sub 3}](H{sub 2}O){sub 3} (8). The structural units of 1 through 8 each consist of a sheet of uranyl pentagonal bipyramids and (Cr(VI)O{sub 4}){sup 2-} tetrahedra. In each case two uranyl pentagonal bipyramids share an equatorial edge, giving a dimer that is linked into the sheet through vertex sharing with (Cr(VI)O{sub 4}){sup 2-} tetrahedra. The sheets are based upon three distinct sheet anion topologies, and the sheets based on a given anion topology can differ in the orientations of the non-bridging O atoms of (CrO{sub 4}){sup 2-} tetrahedra. The interlayers of these compounds contain either monovalent or divalent cations, as well as H{sub 2}O groups that are either bonded to the interlayer cation or are held in place by H bonding only. We explore the relationships between sheet topologies and interlayer configuration in these compounds. - Graphical abstract: Eight uranyl chromate compounds containing sheet structural units built from uranyl pentagonal bipyramids and (CrO{sub 4}){sup 2-} tetrahedra are reported. Relationships between sheet topologies and interstitial constituents is examined. Highlights: Black-Right-Pointing-Pointer Eight uranyl Cr(VI) compounds with sheet structural units are reported. Black-Right-Pointing-Pointer Relationships between the topology of the uranyl chromate sheets and interlayers are examined. Black-Right-Pointing-Pointer Uranyl and chromate polyhedra form a topologically novel sheet.

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CH↗
DOE OSTI2022

Improved Method for Evaluating and Specifying the Chromaticity of Light Sources

This article recommends a method for calculating and specifying light source chromaticity using the CIE 2015 10° color matching functions (CMFs), which, according to analysis of existing psychophysical experiment data, can reduce visual mismatch compared to specifications based on the traditional CIE 1931 2° CMFs. Specifically, this work evaluates, documents, and recommends for adoption a supporting system of measures to be used with the CIE 2015 10° CMFs: a new uniform chromaticity scale (UCS) diagram with coordinates (s, t), a measure of correlated color temperature (CCTst), and a measure of distance from the Planckian locus (Dst). It also presents options for updating nominal classification quadrangles. A complete method of this nature has not yet been standardized, which may be contributing to the slow uptake of the CIE 2015 CMFs. The proposed tools are analogous to u, v, CCT, Duv, and the ANSI C78.377 nominal classification quadrangles that are currently specified in the CIE 1960 UCS using the CIE 1931 2° CMFs. While conceptually equivalent, the differences between the current standard method and the new st system are important for reducing unintended mismatch in the chromaticity of light. Furthermore, the implications of changing chromaticity specification methods are identified by a comparison over a diverse set of real light source SPDs. Finally, as a step toward improving the design and specification of light sources for illumination purposes, we propose a process for implementing the recommendations.

42 ENGINEERING↗
DOE OSTI2012

Crystal Structure of ChrR -- A Quinone Reductase with the Capacity to Reduce Chromate

The Escherichia coli ChrR enzyme is an obligatory two-electron quinone reductase that has many applications, such as in chromate bioremediation. Its crystal structure, solved at 2.2 {angstrom} resolution, shows that it belongs to the flavodoxin superfamily in which flavin mononucleotide (FMN) is firmly anchored to the protein. ChrR crystallized as a tetramer, and size exclusion chromatography showed that this is the oligomeric form that catalyzes chromate reduction. Within the tetramer, the dimers interact by a pair of two hydrogen bond networks, each involving Tyr128 and Glu146 of one dimer and Arg125 and Tyr85 of the other; the latter extends to one of the redox FMN cofactors. Changes in each of these amino acids enhanced chromate reductase activity of the enzyme, showing that this network is centrally involved in chromate reduction.

59 BASIC BIOLOGICAL SCIENCES↗
DOE OSTI2011

Protein Expression Profile of an Environmentally Important Bacterial Strain: the Chromate Response of Arthrobacter Species Strain FB24

The global proteomic response of Arthrobacter sp. strain FB24 to different levels of chromate stress was evaluated with both two-dimensional gel electrophoresis (2-DGE) and liquid chromatography coupled to tandem mass spectrometry (LC/LC-MS/MS) [Henne et al. 2009b]. Proteome coverage of 22% and 71% was obtained with 2-DGE and LC/LC-MS/MS, respectively. The strong response of strain FB24 to chromate suggests a condition of sulfur limitation, which could be driven by competition for the sulfate transporter by the structurally similar chromate ion. Additionally, the involvement of genes hypothesized to be directly involved in chromate resistance in strain FB24 was supported at the protein level.

59 BASIC BIOLOGICAL SCIENCES↗
DOE OSTI2015

Symplectic maps and chromatic optics in particle accelerators

Here, we have applied the nonlinear map method to comprehensively characterize the chromatic optics in particle accelerators. Our approach is built on the foundation of symplectic transfer maps of magnetic elements. The chromatic lattice parameters can be transported from one element to another by the maps. We also introduce a Jacobian operator that provides an intrinsic linkage between the maps and the matrix with parameter dependence. The link allows us to directly apply the formulation of the linear optics to compute the chromatic lattice parameters. As an illustration, we analyze an alternating-gradient cell with nonlinear sextupoles, octupoles, and decapoles and derive analytically their settings for the local chromatic compensation. Finally, the cell becomes nearly perfect up to the third-order of the momentum deviation.

43 PARTICLE ACCELERATORS↗
DOE OSTI2011

Source of second order chromaticity in RHIC

In this note we will answer the following questions: (1) what is the source of second order chromaticities in RHIC? (2) what is the dependence of second order chromaticity on the on-momentum {beta}-beat? (3) what is the dependence of second order chromaticity on {beta}* at IP6 and IP8? To answer these questions, we use the perturbation theory to numerically calculate the contributions of each quadrupole and sextupole to the first, second, and third order chromaticities.

43 PARTICLE ACCELERATORS↗