The Crystal and Molecular Structure of Tris(Ortho- Aminobenzoato)Aquoyttrium(Iii)

Total Page:16

File Type:pdf, Size:1020Kb

The Crystal and Molecular Structure of Tris(Ortho- Aminobenzoato)Aquoyttrium(Iii) University of New Hampshire University of New Hampshire Scholars' Repository Doctoral Dissertations Student Scholarship Fall 1979 THE CRYSTAL AND MOLECULAR STRUCTURE OF TRIS(ORTHO- AMINOBENZOATO)AQUOYTTRIUM(III) SHARON MARTIN BOUDREAU Follow this and additional works at: https://scholars.unh.edu/dissertation Recommended Citation BOUDREAU, SHARON MARTIN, "THE CRYSTAL AND MOLECULAR STRUCTURE OF TRIS(ORTHO- AMINOBENZOATO)AQUOYTTRIUM(III)" (1979). Doctoral Dissertations. 1228. https://scholars.unh.edu/dissertation/1228 This Dissertation is brought to you for free and open access by the Student Scholarship at University of New Hampshire Scholars' Repository. It has been accepted for inclusion in Doctoral Dissertations by an authorized administrator of University of New Hampshire Scholars' Repository. For more information, please contact [email protected]. 8009658 Bo u d r e a u , S h a r o n M a r t in THE CRYSTAL AND MOLECULAR STRUCTURE OF TRIS(ORTHO- AMrNOBENZOATO)AQUOYTTRIUM(III) University o f New Hampshire PH.D. 1979 University Microfilms International 300 N. Zeeb Road, Ann Arbor, MI 48106 18 Bedford Row, London WC1R 4EJ, England PLEASE NOTE: In all cases this material has been filmed in the best possible way from the available copy. Problems encountered with this document have been identified here with a check mark . 1. Glossy photographs _ / 2. Colored illustrations _______ 3. Photographs with dark background \/ '4. Illustrations are poor copy 5. Print shows through as there is text on both sides of page ________ 6. Indistinct, broken or small print on several pages \/ throughout 7. Tightly bound copy with print lost in spine 8. Computer printout pages with indistinct print 9. Page(s) lacking when material received, and not available from school or author _______ 10. Page(s) _______ seem to be missing in numbering only as text follows _______ 11. Poor carbon copy _______ 12. Not original copy, several pages with blurred type 13. Appendix pages are poor copy ________ 14. Original copy with light type ________ 15. Curling and wrinkled pages _______ 16. Other University M icrailm s Irternarjonal 300 N ZEES RD.. ANN AR30R Ml J8106 '313) 761-4700 THE CRYSTAL AND MOLECULAR STRUCTURE OF TRIS( ORTHO-AMINOBENZOATO)AQUOYTTRIUM( I I I ) Ly SHARON MARTIN BOUDREAU B.A. , Wheaton College Norton, Massachusetts, 1975 A DISSERTATION Submitted to the University of New Hampshire In Partial Fulfillment of The Requirements for the Degree of DOCTOR OF PHILOSOPHY in C hem istry September, 1979 ; This thesis has been examined and approved. O — t — 4 Helmut M. Haendler, Thesis Director Professor of Chemistry C. L. Grant Professor of Chemistry • y y i f j v Y w ^ Jamek D. M o rriso n B^jfessor of Chemistry C h a rle s W. Owens Professor of Chemistry M. Wayne M y B easley U Associate Professor of M aterials Science / ? 7 y TO MY HUSBAND, PARENTS, AND FAMILY who, through their love and support, made this thesis possible Ac knowledgeme nts The author wishes to express her sincere appreciation to her research director, Dr. Helmut M. Haendler, for his guidance, support, and friendship during the course of this research and for the opportunity to share a unique learning experience. Gratitude is expressed to Dr. C.L. Grant and the faculty of the Department of Chemistry for providing the opportunities to teach chemistry. The experience of teaching was very important in the professional development of the author.. In addition, thanks is extended to my father whose own chemistry background set the stage for my career, and to my mother for her never ending love and encouragement. The author is grateful for the financial assistance of the Lester Eratt Fellowship, two University of New Hampshire Summer Fellowships, Dissertation Year Fellowship, and teaching assistantships. TABLE OF CONTENTS List of Tables .................................................................................................................... v i i List of Figures • • viii A b s tra c t ....................... ........................................................................................... ix The Crystal and Molecular Structure of Trisfortho-aminobenzoato)aquoyttrium(III) P a r t One The Synthesis of Metal Complexes of Ortho-aminobenzoic Acid ............ 1 I. Introduction ....................................................................................................... 1 II. Experimental ....................................................................................................... 7 A. S t a r t in g M a te ria ls .......................... 7 B. Preparation of Sodium Ortho-aminobenzoate Reagent ............... 7 C. Preparation of Metal Anthranilates ............................................... 7 D. Preparation of Single Crystals of Cadmium(ll), Cobalt(ll), Zinc(ll), Y ttrium (lll), and Lanthanum(lll) Anthranilates 8 E. X-Ray Powder Diffraction Patterns ................................................. 11 F. Elemental Analyses ....................................................... 11 1. Carbon, Hydrogen, and N itrogen ................................................ 11 2. Determination of Yttrium and Lanthanum ................................... 11 G. Determination of the Existence of Coordinated Water Molecules in Zn(ll), Y (lll), and La(lll) Anthranilates .. 12 III. Results and Discussion ......................................................................... 13 A. Single Crystal Growth ............................................................................. 13 B. Characterization of the Compounds ................................................ 17 C. Suggested Future Research .................................................................... 18 v P a r t Two The Crystal and Molecular Structure of Tris(ortho-aminobenzoato) a q u o y ttr iu m ( lll) , YtHgNCgH^COO)^ • HgO ............................................................... 20 I. Introduction ............................................................................................................... 21 A. Coordination Number Six .......................................................................... 23 B. Coordination Number Seven ..................................................................... 23 1. Capped Trigonal Prism ...................................................................... 24 2. Capped Octahedron ................................................................................. 27 C. Coordination Number Eight ........... ................................................................. 28 1. Square Antiprism ................................................................................... 28 2. Dodecahedron ............................................................................................... 28 D. C o o rd in a tio n Number Nine ........................................................................ 29 E. Higher Coordination Numbers ............................................................ 30 II. Experimental ........................................................................................................... 31 A. Preparation of Single Crystals of Tris(ortho-aminobenzoato) aquoyttrium( III) ....................................................... 31 B. Determination of the Space Group, Unit Cell Dimensions, and Density of Tris(ortho-aminobenzoato)aquoyttrium(III) ............. 31 C. Intensity Measurements .......................................................................... 33 III. Solution and Refinement of the Structure ........... 43 IV. Results and Discussion .................................................................................. 65 Appendix ............................................................................................................................... 87 A. X-Ray Powder Diffraction Patterns ................................................... 88 B. Computer Programs ........................................................................................ 96 Bibliography ...................................................................................................................... 104 LIST OF TABLES I. Synthesized Metal Complexes of Ortho-aminobenzoic A cid .............16 II. Crystal Data for Y^NCgH^COO)^ • H20 .................................................36 III. Outline of the Structure Determination for a Compound Containing a Heavy Atom ..................................................................................44 IV. Co-ordinates of Equivalent Positions for Space Group, C2/c..4? V. Selected Patterson Map Peak Heights and Locations .......................49 VI. Final Positional and Thermal Parameters for y( h2mc6h |>coo)3 ■ h20 ............................................................................................................... 57 VII. Summary of Refinement Stages ........................................................................62 VIII. Calculated and Observed Structure Factors f o r Y(H2NC6H^C00 )3 ■ HgO ..................................................... 63 IX. Characteristic Parameters of the Coordination Polyhedron ...7 1 X. Bond Distances and Angles in Y(H 2NG^H^C00)3 ■ HgO........................77 XI. X-Ray Powder Diffraction Data for Zn(H 2NC^H^C00)2 ................... 89 XII. X-Ray Powder Diffraction Data for Y(H 2NC^H^C00)3 • K^O 90 XIII. X-Ray Powder Diffraction Data for La(H 2NC^H^C00)3 ......................91 XIV. X-Ray Powder Diffraction Data for Mn(H 2NC^H^C00)2 .......... 9 2 XV. X-Ray Powder Diffraction Data for Co(H 2NC^H^C00)2
Recommended publications
  • The Crystal and Molecular Structures of Some Organophosphorus Insecticides and Computer Methods for Structure Determination Ricky Lee Lapp Iowa State University
    Iowa State University Capstones, Theses and Retrospective Theses and Dissertations Dissertations 1979 The crystal and molecular structures of some organophosphorus insecticides and computer methods for structure determination Ricky Lee Lapp Iowa State University Follow this and additional works at: https://lib.dr.iastate.edu/rtd Part of the Physical Chemistry Commons Recommended Citation Lapp, Ricky Lee, "The crystal and molecular structures of some organophosphorus insecticides and computer methods for structure determination " (1979). Retrospective Theses and Dissertations. 7224. https://lib.dr.iastate.edu/rtd/7224 This Dissertation is brought to you for free and open access by the Iowa State University Capstones, Theses and Dissertations at Iowa State University Digital Repository. It has been accepted for inclusion in Retrospective Theses and Dissertations by an authorized administrator of Iowa State University Digital Repository. For more information, please contact [email protected]. INFORMATION TO USERS This was produced from a copy of a document sent to us for microfilming. While the most advanced technological means to photograph and reproduce this document have been used, the quality is heavily dependent upon the quality of the material submitted. The following explanation of techniques is provided to help you understand markings or notations which may appear on this reproduction. 1. The sign or "target" for pages apparently lacking from the document photographed is "Missing Page(s)". If it was possible to obtain the missing page(s) or section, they are spliced into the film along with adjacent pages. This may have necessitated cutting through an image and duplicating adjacent pages to assure you of complete continuity.
    [Show full text]
  • TESSERACT -- Antique Scientific Instruments
    TESSERACT Early Scientific Instruments Special Issue: OPTICAL PLEASURES Catalogue One Hundred Seven Summer, 2018 $10 CATALOGUE ONE HUNDRED SEVEN Copyright 2018 David Coffeen CONDITIONS OF SALE All items in this catalogue are available at the time of printing. We do not charge for shipping and insurance to anywhere in the contiguous 48 states. New York residents must pay applicable sales taxes. For buyers outside the 48 states, we will provide packing and delivery to the post office or shipper but you must pay the actual shipping charges. Items may be reserved by telephone, and will be held for a reasonable time pending receipt of payment. All items are offered with a 10-day money-back guarantee for any reason, but you pay return postage and insurance. We will do everything possible to expedite your shipment, and can work within the framework of institutional requirements. The prices in this catalogue are net and are in effect through December, 2018. Payments by check, bank transfer, or credit card (Visa, Mastercard, American Express) are all welcome. — David Coffeen, Ph.D. — Yola Coffeen, Ph.D. Members: Scientific Instrument Society American Association for the History of Medicine Historical Medical Equipment Society Antiquarian Horological Society International Society of Antique Scale Collectors Surveyors Historical Society Early American Industries Association The Oughtred Society American Astronomical Society International Coronelli Society American Association of Museums Co-Published : RITTENHOUSE: The Journal of the American Scientific Instrument Enterprise (http://www.etesseract.com/RHjournal/) We are always interested in buying single items or collections. In addition to buying and selling early instruments, we can perform formal appraisals of your single instruments or whole collections, whether to determine fair market value for donation, for insurance, for loss, etc.
    [Show full text]
  • Starting Darktable
    Digital photo development with Darktable Manage and develop your digital images with Darktable v0.8. Stefano Fornari, Mario Latronico, Nicholas Manea 2 Copyright and License Copyright © 2011 Stefano Fornari, Mario Latronico, Nicholas Manea This work is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License. The book Darktable is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. 3 Table of Contents Digital photo development with Darktable..........................................................................................2 Copyright and License.....................................................................................................................3 Preface.............................................................................................................................................7 Credits.........................................................................................................................................7 Who should read this book..........................................................................................................7 Conventions................................................................................................................................7 A simple tutorial...................................................................................................................................8 Starting darktable.............................................................................................................................8
    [Show full text]
  • Masonry Course Text
    MASONRY COURSE TEXT MASONRY 1ST EDITION COURSE TEXT 1ST EDITION 5A Century Drive, Trincity Industrial Estate, Macoya, Trinidad, West Indies Tel: (868) 663-4MIC (4642) Fax: (868) 663-6055 Email: [email protected] Website: www.mic.co.tt NOTICE TO THE READER The reader is expressly warned to consider and adopt ALL safety precautions that might be indicated by the activites in this text, and to use common sense to avoid ALL potential hazards. By following the instructions contained in the text, the reader willingly assumes all risks in connection with such instructions. BRAND DISCLAIMER MIC does not necessarily recommend or endorse any particular company or brand name product that may be discussed or pictured in this text. Brand name products are used because they are readily available, likely to be known to the reader, or their use may aid in the understanding of the text. MIC recognizes that other brand names or generic products may be substituted and work as well or even better than those featured in the text. Copyright © 2011 by Metal Industries Company Limited (MIC) Funded by the European Development Fund (EDF) All rights reserved. No part of this text may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, edf Non-University Tertiary Education Sector photocopying, recording, or otherwise, without the prior “ Aiding the GROWTH of Global Minds” written permission of MIC Ltd. Funded by the European Union The Government of Trinidad and Tobago MASONRY COURSE TEXT 1ST EDITION iv
    [Show full text]
  • Metrology Studies and Baseplate-Pixel Sensor Gluing of the Pixel Strip Modules for the CMS II Phase Upgrade
    Metrology Studies and Baseplate-Pixel Sensor Gluing of the Pixel Strip Modules for the CMS II Phase Upgrade Supervisors: Author: James Keaveney Jem Aizen M. Guhit Marino Missiroli Abstract The upcoming High-Luminosity (HL) upgrade to the Large Hadron Collider (LHC) has set in motion the Central Muon Solenoid (CMS) Phase II Upgrade on its silicon tracker. To withstand the problems the current tracker cannot solve, such as the increase in data rates, pile up, and radiation damage, a new module with two silicon sensors closely spaced in a sandwhich configuration is capable of discriminating between high and low transverse momentum. This configuration allows the tracker to provide information in the first level trigger decision. In order to prolong the lifetime of the modules during operation, an efficient cooling system has to be embedded within the components. This report outlines the advances and improvement made on the gluing techniques between the baseplate and pixel sensor of the pixel strip (PS) modules. The techniques were tested and produced promising results. Also, another important studies made was on the alignment of the silicon sensors. Methods on Metrology were developed using the capabilities of the newly commissioned microscope in the Detector Assembly Facility (DAF) at DESY. A relative angular tilt was found between the XY Stage and the microscope, which was then analytically calculated and was used as a correction to the measured values. These measurements were compared to the previous SmartScope Data. Table of Contents 1 Introduction 3 1.1 The Large Hadron Collider . 3 1.2 HL - LHC . 3 1.3 CMS Experiment .
    [Show full text]
  • Analysis of Illumination Correction Error in Camera Color Space
    https://doi.org/10.2352/ISSN.2470-1173.2019.14.COLOR-093 © 2019, Society for Imaging Science and Technology Analysis of illumination correction error in camera color space Minji Lee12, and Byung-Uk Lee1 1Department of Electronics Engineering, Ewha Womans University, 52 Ewhayeodae-gil, Seodaemun-gu, Seoul 03760, Republic of Korea 2Current Affiliation: LG Electronics, 10 Magokjungang 10-ro, Gangseo-gu, Seoul 07796, Republic of Korea Abstract and camera sensitivity function can be approximated to 3, the Achieving color constancy is an important step to support actual illumination can be expressed as a 3×3 illumination visual tasks. In general, a linear transformation using a 3× 3 correction matrix without error. In another study, Cheng et al. [8] illuminant modeling matrix is applied in the RGB color space of a found that the accuracy of illumination estimation varies with camera to achieve color balance. Most of the studies for color illumination, and the diagonal matrix transformation under certain constancy adopt this linear model, but the relationship of illumination conditions can estimate RGB illumination with small illumination and the camera spectral sensitivity (CSS) is only error. Cheng et al. also reported that this issue is related to intricate partially understood. Therefore, in this paper, we analyze linear relationship between the illumination spectrum and CSS. combination of the illumination spectrum and the CSS using In this paper, hyperspectral data under actual illumination is hyperspectral data that have much more information than RGB. analyzed, which enables an investigation beyond the limitations of After estimating the illumination correction matrix we elucidate 3D RGB color space.
    [Show full text]
  • 12121Ijwest01.Pdf
    International Journal of Web & Semantic Technology (IJWesT) Vol.12, No.1, January 2021 U-MENTALISM PATENT: THE BEGINNING OF CINEMATIC SUPERCOMPUTATION Luís Homem Centro de Filosofia das Ciências da Universidade de Lisboa ABSTRACT This paper discloses in synthesis a super-computation computer architecture (CA) model, presently a provisional Patent Application at INPI (nº 116408). The outline is focused on a method to perform computation at or near the speed of light, resorting to an inversion of the Princeton CA. It expands from isomorphic binary/RGB (typical) digital “images”, in a network of (UTM)s over Turing-machines (M)s. From the binary/RGB code, an arithmetic theory of (typical) digital images permits fully synchronous/orthogonal calculus in parallelism, wherefrom an exponential surplus is achieved. One such architecture depends on any “cell”-like exponential-prone basis such as the “pixel”, or rather the RGB “octet-byte”, limited as it may be, once it is congruent with any wave-particle duality principle in observable objects under the electromagnetic spectrum and reprogrammable designed. Well-ordered instructions in binary/RGB modules are, further, programming composed to alter the structure of the Internet, in virtual/virtuous eternal recursion/recurrence, under man-machine/machine-machine communication ontology. KEYWORDS U-Mentalism, Super-computation, Computer Architecture, Cybernetics, Programming Languages Design 1. INTRODUCTION This document is intended to serve as white paper to describe in the most possible composed details
    [Show full text]
  • University of California, San Diego
    UNIVERSITY OF CALIFORNIA, SAN DIEGO Parallel Computation with Fast Algorithms for Micromagnetic Simulations on GPUs A dissertation submitted in partial satisfaction of the requirements for the degree Doctor of Philosophy in Electrical Engineering (Electronic Circuits and Systems) by Sidi Fu Committee in charge: Professor Vitaliy Lomakin, Chair Professor Prabhakar R. Bandaru Professor Eric E. Fullerton Professor Zhaowei Liu Professor Ross C. Walker 2016 Copyright Sidi Fu, 2016 All rights reserved. SIGNATURE PAGE The Dissertation of Sidi Fu is approved, and it is acceptable in quality and form for publication on microfilm and electronically: ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ Chair University of California, San Diego 2016 iii DEDICATION To my mother Kun Zhao, my father Xiaojun Fu and my dear Yan Jiao. iv TABLE OF CONTENTS SIGNATURE PAGE ............................................................................................ iii DEDICATION...................................................................................................... iv TABLE OF CONTENTS ..................................................................................... v LIST OF FIGURES ..........................................................................................
    [Show full text]
  • James Thurlow-Colorado's Overlooked Photographer
    JANUARYIFEBRUARY 1984 STEREO1 Philip Brigandi Lives Review by Peter E. Palmquist STEREO WORLD readers may remember a Com- ment letter in the MaylJune 83 issue from Mr. Phillip Brigandi concerning the stereo activities of his great grandfather. Since then he has continued to seek information, which has culminated in a special edition of the CMP BULLLETIN (Vol. 2, No. 3) of the California Museum of Photography, University of California, Riverside. "Philip Brigandi: Keystone Photographer" accom- panies a recent exhibition of Brigandi's stereophoto- graphy from the Keystone-Mast Collection at the CMP. The Bulletin consists of sixteen pages (plus covers) and is handsomely printed. Edward Earle, Curator of the Keystone-Mast Collection, wrote the foreword while Phillip Brigandi provided biographical details of his ancestor's illustrious life. Especially useful is an essay on Brigandi's relationship with the Key- stone View Company by Andrew Eskind, Director of Interdepartmental Services at George Eastman House, Rochester, NY. Mr. Eskind's essay gives fascinating .?%~~~;..~.I~<:~&I>~:~ )A, insight into Keystone's relationship with one of their Philip C. finest photographers during the period 1915-1930. Several fine views of Brigandi at work are also reproduced. of California, Riverside CA 92521. Since the Bulletin This publication is a welcome addition to the stereo is free to CMP members, I strongly urge that you enthusiast's bookshelf and is available directly from join this outstanding organization and support its the California Museum of Photography, University activities and goals. Keystone #26965 Brigandi - Keystone Photographer Caresses a 32 Lb. Ft. Python - Palm Beach, Fla. Material In thls publlcatlon may not be reproduced wllhout wrttten permlsslon of the NSA.
    [Show full text]
  • MAC 323 PHOTOJOURNALISM COURSE WRITER Mrs Ademuyiwa Simbiat School of Arts and Social Sciences National Open University of Nigeria, Victoria Island, Lagos
    COURSE GUIDE MAC 323 PHOTOJOURNALISM COURSE WRITER Mrs Ademuyiwa Simbiat School of Arts and Social Sciences National Open University of Nigeria, Victoria Island, Lagos EDITOR HEAD OF UNIT Jonathan E. Aliede, Ph.D. School of Arts and Social Sciences National Open University of Nigeria, Victoria Island, Lagos NATIONAL OPEN UNIVERSITY OF NIGERIA National Open University of Nigeria Headquarters 14/16 Ahmadu Bello Way Victoria Island Lagos Abuja Office National Open University of Nigeria 5, Dar Es Salaam Street, Off Aminu Kano Crescent Wuse II, Abuja Nigeria e-mail: [email protected] URL: www.nou.edu.ng Published by National Open University of Nigeria Printed ISBN: All Rights Reserved MAC323 Course Guide Introduction....................................................................................................... 1 Course Aims...................................................................................................... 1 Course Objectives.............................................................................................. 1 Working through this Course............................................................................ 2 Course Materials................................................................................................ 2 Study Units.......................................................................... ..............................2 Textbooks and References................................................................................. 3 Assessment.......................................................................................................
    [Show full text]
  • THE ASSESSMENT of HIGH DYNAMIC RANGE LUMINANCE MEASUREMENTS with LED LIGHTING Yulia I
    University of Nebraska - Lincoln DigitalCommons@University of Nebraska - Lincoln Architectural Engineering -- Dissertations and Architectural Engineering Student Research 4-2012 THE ASSESSMENT OF HIGH DYNAMIC RANGE LUMINANCE MEASUREMENTS WITH LED LIGHTING Yulia I. Tyukhova University of Nebraska – Lincoln, [email protected] Follow this and additional works at: http://digitalcommons.unl.edu/archengdiss Part of the Architectural Engineering Commons Tyukhova, Yulia I., "THE ASSESSMENT OF HIGH DYNAMIC RANGE LUMINANCE MEASUREMENTS WITH LED LIGHTING" (2012). Architectural Engineering -- Dissertations and Student Research. 17. http://digitalcommons.unl.edu/archengdiss/17 This Article is brought to you for free and open access by the Architectural Engineering at DigitalCommons@University of Nebraska - Lincoln. It has been accepted for inclusion in Architectural Engineering -- Dissertations and Student Research by an authorized administrator of DigitalCommons@University of Nebraska - Lincoln. THE ASSESSMENT OF HIGH DYNAMIC RANGE LUMINANCE MEASUREMENTS WITH LED LIGHTING by Yulia I. Tyukhova A THESIS Presented to the Faculty of The Graduate College at the University of Nebraska In Partial Fulfillment of Requirements For the Degree of Master of Science Major: Architectural Engineering Under the Supervision of Professor Clarence Waters Lincoln, Nebraska April, 2012 THE ASSESSMENT OF HIGH DYNAMIC RANGE LUMINANCE MEASUREMENTS WITH LED LIGHTING Yulia I. Tyukhova, M.S. University of Nebraska, 2012 Adviser: Clarence Waters This research investigates whether a High Dynamic Range Imaging (HDRI) technique can accurately capture luminance values of a single LED chip. Previous studies show that a digital camera with exposure capability can be used as a luminance mapping tool in a wide range of luminance values with an accuracy of 10%. Previous work has also demonstrated the ability of HDRI to capture a rapidly- changing lighting environment with the sun.
    [Show full text]
  • Source Localization
    ii Copyright © 2011 by Julia Parsons Owen iii Abstract Bayesian Source Reconstruction and Non-Parametric Statistical Thresholding for Electromagnetic Data by Julia Parsons Owen In the last few decades there have been major advances in the technology of func- tion brain imaging, allowing for insight into the functions of the human brain previously elusive to neuroscientists. These advances have been primarily on the hardware end and developing effective software to interpret the data collected by neuroimaging machines is a current challenge to the use of the technology. Mag- netoencephalography (MEG), in particular, requires solving an ill-posed inverse problem in order to uncover the brain areas active during a task. While the solu- tion to this inverse problem is not unique, there are many methods to estimate its solution and this is a field of active research. In Chapter Two of this thesis, we de- rive an algorithm that solves the inverse problem for MEG, and the related imag- ing method, electroencephalography (EEG). Our method improves upon existing algorithms in that it incorporates noise suppression into the estimation proce- dure and is theoretically and empirically robust to correlated sources. In Chapter Three, we show the results from extensive testing of our algorithm using simu- iv lated and real M/EEG data and we show our algorithm’s results in comparison to the benchmark algorithms. Chapter Four explores variants of the algorithm, including its application to data sets without pre-stimulus data. In Chapter Five, we present methods to statistically threshold the inverse solution results using nonparametric statistics. Finally, in Chapter Six, we provide some concluding re- marks and ideas for future research directions.
    [Show full text]