DOCSLIB.ORG

Introduction 1 Introduction

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text
Introduction 1 Introduction 1 Introduction 1 Introduction About SigmaPlot SigmaPlot 10.0 makes it easier for you to present your findings accurately using precise, publication-quality graphs, data analysis and presentation tools. SigmaPlot 10.0 offers numerous scientific options such as automatic error bars, regression lines, confidence intervals, axis breaks, technical axis scales, non-linear curve fitting and a data worksheet for powerful data handling. SigmaPlot is a state-of-the-art technical graphing program designed for the Windows platform. It is certified for Windows NT, Windows 2000, Microsoft Office 98, 2000, and Windows XP. SigmaPlot is specifically designed to aid in documenting and publishing research, specializing in the graphical presentation of results. Creating and editing graphs is easy. Just click a Graph toolbar button, pick your data with the Graph Wizard, and you can create a graph in seconds. You can also use templates to apply favorite graphs again and again. SigmaPlot 10.0 also includes a powerful nonlinear curve fitter, a huge scientific data worksheet that accommodates large data sets, summary statistics, a mathematical transform language and much more. OLE2 technology is fully supported. You can annotate graphs with the Microsoft Word Equation Editor, edit your graphs directly inside Word or PowerPoint, or plot your data with an Excel spreadsheet right inside SigmaPlot 10.0. Graph Types and Styles SigmaPlot10.0’s selectable Graph Type determines the structure of your graph. SigmaPlot 10.0 provides many different types of two- and three-dimensional Cartesian (XY and XYZ) graphs, as well as pie charts and polar plots. Graph Style determines how data is plotted on a graph. Available styles depend on the selected Graph Type. SigmaPlot 10.0’s Graph Wizard conveniently displays all available graph styles associated with each graph type. 2 Chapter 1 The Graph Style Gallery and Templates Use the SigmaPlot Graph Style Gallery create and store true graph templates using any existing graph style as the model. For more information, see “Using the Graph Style Gallery” in Chapter 4. Every graph that you add to the Graph Style Gallery is saved as a bitmap image. You can later apply this as a template for future graphs, saving you time and effort. For more information, see “Using the Graph Style Gallery” on page 157. Figure 1-1 The Graph Style Gallery Templates. The SigmaPlot 10.0 template notebook contains a variety of page layouts. Apply these predetermined template attributes to previously saved pages and graphs, or create a user-defined template. Store your templates in a SigmaPlot Notebook Template file (.JNT). You may want to create your own template notebook. For more information, see “Using Graph Pages as Templates” on page 237. 3 Introduction Graph Defaults Preset graph attribute default settings, such as size and position, font, and symbol, line and bar settings. Axis Scales Create multiple axes for 2D graphs. SigmaPlot 10.0 , by default, automatically calculates axis ranges and enables each plot to contain separate X and Y axes. Tick Marks. Use both major and minor axis tick marks and grid lines. Tick intervals, length, direction, thickness, and color are all adjustable; grid line types are also adjustable. Tick labels can be numeric, time series, or customized, using labels in a worksheet column. Axis Breaks. You can specify an axis break with a different post-break tick interval. Automatic Legends Generate legends automatically, or ungroup legends and individually customize text labels. Smooth Data Smooth sharp variations in dependent values within 2D and 3D data sets using SigmaPlot 10.0 smoothing algorithms. SigmaPlot 10.0 Worksheet The SigmaPlot 10.0 worksheet is capable of containing data up to 32,000,000 rows by 32,000 columns. Enter data in columns or rows, and perform calculations either row- wise or column-wise. Worksheet cells within columns are adjustable, and capable of holding up to 14 significant digits. Place labels, customized fill colors and patterns, and error bar direction codes into these cells in order to specify changes to graphs. 4 Chapter 1 Microsoft Excel SigmaPlot 10.0 uses automation communication standards to create and open Excel workbooks within SigmaPlot 10.0. This functionality enables you to run transforms, perform statistical tests, and graph data stored in Excel worksheets. Statistics Descriptive statistics are available for all your worksheet columns. The Statistics Worksheet lists basic statistics for all worksheet columns. Display linear regression lines with confidence and prediction intervals, chart error bars for graphs of column means, and run paired and unpaired t-tests between worksheet columns. Use the Histogram feature to compute and plot distributions for data sets. Regression Wizard The Regression Wizard steps through curve fitting, plotting, and generating a report. Transforms Modify and compute data using SigmaPlot 10.0’s comprehensive transform language. Drawing Tools Change the font, size, and style of any text, and change the color, line type, thickness, and fill pattern of graphs and drawn objects with drawing tools. Reports The SigmaPlot 10.0 Report Editor displays regression results and features complete text editing functionality. 5 Introduction New Features in SigmaPlot 10.0 New features in SigmaPlot 10.0 include: More line types. SigmaPlot now offers seven new line types for line plots and line scatter plots, free-form lines, boxes and ellipses. There are also new line types available in the Graph Properties dialog box and the Page toolbar. Use these line types in 2D and 3D graphs. More patterns. Twenty-five new fill patterns for bar charts, box plots, pie charts, area plots and free-form boxes and ellipses. New fill patterns have been implemented in the Graph Properties dialog box and the Page toolbar. Use the new fill patterns in 2D and 3D graphs. Dynamic Curve Fitting. Compliments the Regression Wizard by providing hundreds of initial parameter estimates to minimize the squared residual errors, produce individual curve fits for each, and chose the best in a matter of seconds. Greatly increase the likelihood that the answer you get is the correct answer for your data. Achieves the best fit by automatically choosing and trying numerous initial parameter estimates to find the global minimum, even if you supply a complicated model with problematic data. Solve harder problems that normally don't converge. Added New Weighting Options to Curve Fitter. Allows the choice between using reduced chi-squared weighting or not in nonlinear regression. Now you can use whichever weighting method preferred by your field. Many packages use reduced chi-square weighting but certain fields believe that this is not the correct way. New 3D Mesh Plots with Contour Projection. Allows you to put contour plots into 3D graphs to reflect the Z values of the plotted data. Select Positive Direction for Polar Plots. Now you can select a positive direction for polar plots. Automatically create both clockwise and counterclockwise polar graphs. Automatically chooses most common orientation and starting point for both types of graphs. Create clockwise graphs without having to transform your data. Automatically Graph Irregularly Spaced 3D Data. Automatically interpolate unordered 3D data. X,Y,Z data is interpolated into a grid for mesh plots. X,Y,Z data is interpolated into a grid for contour plots. Weibull Axis Scale. This new Weibull transformation scale allows you to plot Weibull distributions for Weibull analysis graphs. Reciprocal Axis Scale. New 1/x scale type. Allows creation of reciprocal scale distributions including Arrhenius Scales. 6 Chapter 1 New Axis Scales for 2D and 3D Contour Plots. Natural log, probability, logit, probit, Weibull, reciprocal. More Selectable Graph Objects. Select Grid lines - major and minor. Select Error bars. Select Break Marks. Select Drop Lines. "Click through" overlapping objects. Automatic Resizing and Positioning Groups of Graphs. Can now be used to size and/or position multiple objects simultaneously. Can now be used to change the properties of more objects. 12 New Probability Transform Functions. Gives you more powerful transforms and curve fit equations. SAS and Minitab Import. Directly import SAS data sets and export files (.sd2 and .sas7bdat files). Directly import Minitab data files and export files (up through Version 12, .mtw & .mpj files). Audit Trails. Tracks changes to notebooks and login names of users Useful for 21 CFR Part 11 change logging. Program Startup Wizard. Power users will enjoy easy access to previously used documents, quick Excel import, quick access to data base import and the ability to use older documents as templates for new work. New users will enjoy easy access to help and other tutorials while being guided through creating a blank worksheet, importing data from an excel file or other database files. Use older documents as templates for new work. Transforms In JNB File. Transforms are now kept in notebook files as JNB files for easier organization of transforms. This allows easier organization of transforms. Create Transform libraries. Associate Transforms with data sets. Protect and track changes to transforms for 21 CFR Part 11. Import Graphic Files. Load popular graphic file formats into SigmaPlot graphic page. Import BMP, JPEG, GIF, TIFF, Cursor and Icon Files, and many more. Submission Assistant. Stores an extensible list of publication requirements and is used to double check whether exported figures meet standards of publication. Also allows creation of customized output profiles. Confidence Lines and Prediction Bands in Curve Fits. Automatically generate 95% confidence and prediction bands (lines) for curve fits. No longer necessary to generate confidence bands manually. Additional piecewise-linear models for regression. SigmaPlot now provides 2, 3, 4, and 5-segment piecewise-linear models come with automatic parameter estimation. 7 Introduction Real Time Mouse-over Coordinate Feedback. Get instant feedback of graph coordinates with your mouse cursor on the graph. Selecting a plot will allow to see the exact value of the data corresponding to the data points ROC Curves.
Load more

Recommended publications
  • PDF Brochure
    Version: 5.01 Automated curve Tired of using trial and error to find optimum equations for your data? Tired of using trial and error to find optimum equations for your data? Quickly find the best equations that describe your data Accurately extrapolate any data set fitting and equation TableCurve 2D gives engineers and researchers the power to find the Increase the accuracy of your predictions with state-of-the-art AR ideal model for even the most complex data by putting thousands of (Autoregressive) procedures that offer the means to effectively equation at their fingertips. TableCurve 2D's built-in library includes a extrapolate any data set. Select from any one of the 9 different procedures wide array of linear and nonlinear models for any application including for extrapolating your data — 3 to predict ahead, 3 to predict earlier data, equations that may never have been considered — from simple linear and 3 that predict in both directions. Of these algorithms, six offer in-situ equations to high order Chebyshev polynomials. TableCurve 2D is the noise removal using advanced SVD and Eigen-decomposition methods. automatic choice for curve-fitting and data modeling for critical research. discovery TableCurve 2D's state-of-the-art data fitting includes capabilities not TableCurve 2D takes full advantage of the windows GUI to simplify every aspect of found in other software packages: operation-from data import to output of A 38-digit precision math emulator for properly fitting high order results. All Equations are readily available polynomials and rationals. from Toolbar or TableCurve's Process Menu.
    [Show full text]
  • Limits of Pgl(3)-Translates of Plane Curves, I
    LIMITS OF PGL(3)-TRANSLATES OF PLANE CURVES, I PAOLO ALUFFI, CAREL FABER Abstract. We classify all possible limits of families of translates of a fixed, arbitrary complex plane curve. We do this by giving a set-theoretic description of the projective normal cone (PNC) of the base scheme of a natural rational map, determined by the curve, 8 N from the P of 3 × 3 matrices to the P of plane curves of degree d. In a sequel to this paper we determine the multiplicities of the components of the PNC. The knowledge of the PNC as a cycle is essential in our computation of the degree of the PGL(3)-orbit closure of an arbitrary plane curve, performed in [5]. 1. Introduction In this paper we determine the possible limits of a fixed, arbitrary complex plane curve C , obtained by applying to it a family of translations α(t) centered at a singular transformation of the plane. In other words, we describe the curves in the boundary of the PGL(3)-orbit closure of a given curve C . Our main motivation for this work comes from enumerative geometry. In [5] we have determined the degree of the PGL(3)-orbit closure of an arbitrary (possibly singular, re- ducible, non-reduced) plane curve; this includes as special cases the determination of several characteristic numbers of families of plane curves, the degrees of certain maps to moduli spaces of plane curves, and isotrivial versions of the Gromov-Witten invariants of the plane. A description of the limits of a curve, and in fact a more refined type of information is an essential ingredient of our approach.
    [Show full text]
  • Unsupervised Smooth Contour Detection
    Published in Image Processing On Line on 2016–11–18. Submitted on 2016–04–21, accepted on 2016–10–03. ISSN 2105–1232 c 2016 IPOL & the authors CC–BY–NC–SA This article is available online with supplementary materials, software, datasets and online demo at https://doi.org/10.5201/ipol.2016.175 2015/06/16 v0.5.1 IPOL article class Unsupervised Smooth Contour Detection Rafael Grompone von Gioi1, Gregory Randall2 1 CMLA, ENS Cachan, France ([email protected]) 2 IIE, Universidad de la Rep´ublica, Uruguay ([email protected]) Abstract An unsupervised method for detecting smooth contours in digital images is proposed. Following the a contrario approach, the starting point is defining the conditions where contours should not be detected: soft gradient regions contaminated by noise. To achieve this, low frequencies are removed from the input image. Then, contours are validated as the frontiers separating two adjacent regions, one with significantly larger values than the other. Significance is evalu- ated using the Mann-Whitney U test to determine whether the samples were drawn from the same distribution or not. This test makes no assumption on the distributions. The resulting algorithm is similar to the classic Marr-Hildreth edge detector, with the addition of the statis- tical validation step. Combined with heuristics based on the Canny and Devernay methods, an efficient algorithm is derived producing sub-pixel contours. Source Code The ANSI C source code for this algorithm, which is part of this publication, and an online demo are available from the web page of this article1.
    [Show full text]
  • Cenik-Science-Software
    Ceník ‐ srpen 2021 www.sciencesoftware.cz Objednací Cena v Kč Cena v Kč Název produktu číslo s DPH bez DPH CLARIVATE ANALYTICS (dříve THOMSON REUTERS) EndNote CLA-00150 EndNote 20 Single User License Hybrid ESD 6 993,80 5 780 CLA-00151 EndNote 20 Single User License Upgrade Hybrid ESD 3 230,70 2 670 EndNote Hybrid - obsahuje instalátor pro Macintosh a Windows. V případě zájmu o ceny Multi-User License pro více uživatelů nás, prosím, kontaktujte na [email protected] GOLDEN SOFTWARE Grapher GOL-00233 Grapher 18 Single User License ESD 14 943,50 12 350 GOL-00234 Grapher 18 Single User 1Y Renewal Maintenance ESD 2 783,00 2 300 GOL-00235 Grapher 18 Single User License ESD (při koupi 4-10 ks) 14 483,70 11 970 GOL-00236 Grapher 18 1-User Concurrent License ESD 30 225,80 24 980 GOL-00237 Grapher 18 1-User Concurrent 1Y Renewal Maintenance ESD 5 493,40 4 540 GOL-00238 Grapher 18 1-User Concurrent License ESD (při koupi 4-10 ks) 28 858,50 23 850 Strater GOL-00114 Strater 5 Single User License ESD 12 620,30 10 430 GOL-00115 Strater 5 Single User License Upgrade ESD 4 235,00 3 500 GOL-00116 Strater 5 Single User License ESD (při koupi 4-10 ks) 12 087,90 9 990 GOL-00166 Strater 5 1-User Concurrent License ESD 25 192,20 20 820 GOL-00167 Strater 5 1-User Concurrent License ESD (při koupi 4-10 ks) 24 091,10 19 910 Surfer GOL-00227 Surfer 21 Single User License ESD 27 636,40 22 840 GOL-00228 Surfer 21 Single User 1Y Renewal Maintenance ESD 5 106,20 4 220 GOL-00229 Surfer 21 Single User License ESD (při koupi 4-10 ks) 26 656,30 22 030 GOL-00230 Surfer
    [Show full text]
  • Sigmaplot® 8.0 User's Guide
    SigmaPlot ® 8.0 User’s Guide For more information about SPSS® Science software products, please visit our WWW site at http://www.spss.com or contact SPSS Science Marketing Department SPSS Inc. 233 South Wacker Drive, 11th Floor Chicago, IL 60606-6307 Tel: (312) 651-3000 Fax: (312) 651-3668 SPSS and SigmaPlot are registered trademarks and the other product names are the trademarks of SPSS Inc. for its proprietary computer software. No material describing such software may be produced or distributed without the written permission of the owners of the trademark and license rights in the software and the copyrights in the published materials. The SOFTWARE and documentation are provided with RESTRICTED RIGHTS. Use, duplication, or disclosure by the Government is subject to restrictions as set forth in subdivision (c)(1)(ii) of The Rights in Technical Data and Computer Software clause at 52.227-7013. Contractor/manufacturer is SPSS Inc., 233 South Wacker Drive, 11th Floor, Chicago, IL 60606-6307. General notice: Other product names mentioned herein are used for identification purposes only and may be trademarks of their respective companies. Windows is a registered trademark of Microsoft Corporation. ImageStream® Graphics & Presentation Filters, copyright © 1991-1997 by INSO Corporation. All Rights Reserved. ImageStream Graphics Filters is a registered trademark and ImageStream is a trademark of INSO Corporation. SigmaPlot® 8.0 User’s Guide Copyright © 2002 by SPSS Inc. All rights reserved. Printed in the United States of America. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior written permission of the publisher.
    [Show full text]
  • Calculus-Free Derivatives of Sine and Cosine
    Calculus-free Derivatives of Sine and Cosine B.D.S. McConnell [email protected] Wrap a square smoothly around a cylinder, and the curved images of the square’s diagonals will trace out helices, with the (original, uncurved) diag- onals tangent to those curves. Projecting these elements into appropriate planes reveals an intuitive, geometric development of the formulas for the derivatives of sine and cosine, with no quotient of vanishing differences re- quired. Indeed, a single —almost-“Behold!”-worthy— diagram and a short notational summary (see the last page of this note) give everything away. The setup. Consider a cylinder (“C”) of radius 1 and a unit square (“S”), with a pair of S’s edges parallel to C’s axis, and with S’s center (“P ”) a point of tangency with C’s surface. We may assume that the cylinder’s axis coincides with the z axis; we may also assume that, measuring along the surface of the cylinder, the (straight-line) distance from P to the xy-plane is equal to the (arc-of-circle) distance from P to the zx-plane. That is, we take P to have coordinates (cos θ0, sin θ0, θ0) for some θ0, where cos() and sin() take radian arguments. Wrapping S around C causes the image of an extended diagonal of S to trace out the helix (“H”) containing all (and only) points of the form (cos θ, sin θ, θ). Moreover, the original, uncurved diagonal segment of S de- termines a vector, v :=< vx, vy, vz >, tangent to H at P ; taking vz = 1, we assure that the vector conveniently points “forward” (that is, in the direction of increasing θ) along the helix.
    [Show full text]
  • Cranes Software International Ltd Powerful Take-Off
    Annual Report Analysis Cranes Software International Ltd Powerful Take-Off BSE Code 512093 Background Bloomberg Code EDC@IN Cranes Software International Ltd (CSIL) is a scientific and engineering products Face Value Rs 10 and solutions provider. The company promoted by Mr Asif Khader and Mr Mukarram CMP Rs 430 Jan commenced operations in 1991. The company’s software products, both owned Market Cap Rs 4,369mn and distributed, are used by more than 200,000 scientists and engineers globally. It also provides consulting and training of these products. It has a presence in 37 countries Share Holding Pattern with subsidiaries in US, UK, Germany, Singapore and India. The clientele includes GE, Texas Instruments (TI), Intel, Motorola, Phillips, Siemens, Tektronix, Eli Lily, Shareholding Pattern Pfizer, Exxon, Infosys, Wipro, Satyam, Tata Elxsi, etc. It is recognized as No 1 Indian 15% 35% Technology Company by Deloitte Touche Tohmatsu Asia Pacific fast 500 survey. The company is in the process of implementing CMM Level 5 and plans to achieve 33% People CMM (PCMM) and BS7799 certification during the current financial year. 17% Promoters Institutional Investors Business Other Investors General Public • Product Distribution CSIL made its entry into the scientific products with the acquisition of distribution Share Price Chart rights of MATLAB, the world’s leading technical computing software. This product has a current base of 500,000 technical users worldwide. Subsequently, the company entered into new alliances such as dSpace (DSP development tool), nucleus RTOS (Real Time Operating System) software for embedded solutions, WITNESS simulation software, Adventnet infrastructure software for IT and Telecom, etc.
    [Show full text]
  • Annual Report 2003 - 2004
    Cranes Software International Limited Annual Report 2003 - 2004 Cranes Software International Ltd is a global scientific and engineering products and solutions provider. Having initiated operations in 1991, Cranes Software today offers scientific and engineering software products to its global customers, as well as consulting and training around these products. Cranes Software has created a unique business model driven by multi-industry applications of mathematics, statistics, data visualization, presentation and related analytical techniques. Further it is one of the first to introduce usage of scientific and engineering tools in India, creating a market for high performance technical products. It was also the first Indian company to compete successfully in global markets with its proprietary range of scientific and numerical products. To create a sustained proposition in its focus domain (software for scientists and engineers), Cranes Software has also established a strong position in consulting and training. These enabling businesses have contributed to an increased level of interface and engagement with its discerning customers while enhancing generic demand and usage trends for scientific software products. In addition, the Company has furthered technological innovation by making research investments in the fields of wireless networks and micro-electro mechanical systems. Global Vision Globally Recognised Products: SYSTAT, SigmaPlot and SigmaStat ranked amongst the top five products of the year, by Scientific Computing & Instrumentation, USA. Global Clientele: Over two hundred thousand scientists and engineers use our software products globally. Global Presence: Present in 37 countries across the world with subsidiaries in the US, UK, Germany, Singapore and India. Global Ownership: Recent GDR offering received widespread demand from high quality international investors.
    [Show full text]
  • Automated Surface Fitting and Equation Discovery
    Version: 4.0 Automated Fit thousands of equations to your data in seconds! surface fitting Fit thousands of equations to your data in seconds! and TableCurve 3D's state-of-the-art surface fitting includes capabilities not equation discovery found in other software packages: • In addition to standard least squares minimization, TableCurve 3D's non-linear engine is capable of three different robust estimations: least absolute deviation, Lorentzian minimization and Pearson VII Limit minimization • Option to change the maximum number of terms permitted when fitting linear equations (minimum 3; maximum 11) • On systems that support multi-threading, TableCurve 3D's Background Thread Processing option allows fitting to occur without any form of user input • Option to set the default term significance anywhere from 1 to 15 AUTOMATION TAKES THE TRIAL AND ERROR OUT OF SURFACE FITTING Using its selective subset procedure, TableCurve 3D will fit 36,000 of the over 450 million built-in equations or just the ones you need — instantly. With TableCurve 3D, a single mouse click is all it takes to "I have tried other products including my own programs and I can start the automated surface fitting process — there is no set up required! truthfully say,, There is no competition to the TableCurve Programs." You can even enter your own specialty models to be fit and ranked Patrick Lestrade along with the built-in equations. TableCurve saves you precious time Professor of Physics, because it takes the endless trial and error out of surface fitting. Mississippi State University FIND OPTIMUM EQUATIONS TO DESCRIBE EMPIRICAL DATA FIT USER-DEFINED FUNCTIONS TableCurve 3D gives scientists and engineers the power to find the ideal Up to 15 user-defined equations can be entered and ranked along with model for even the most complex data, including equations that might the built-in equations.
    [Show full text]
  • Geometry of Algebraic Curves
    Geometry of Algebraic Curves Lectures delivered by Joe Harris Notes by Akhil Mathew Fall 2011, Harvard Contents Lecture 1 9/2 x1 Introduction 5 x2 Topics 5 x3 Basics 6 x4 Homework 11 Lecture 2 9/7 x1 Riemann surfaces associated to a polynomial 11 x2 IOUs from last time: the degree of KX , the Riemann-Hurwitz relation 13 x3 Maps to projective space 15 x4 Trefoils 16 Lecture 3 9/9 x1 The criterion for very ampleness 17 x2 Hyperelliptic curves 18 x3 Properties of projective varieties 19 x4 The adjunction formula 20 x5 Starting the course proper 21 Lecture 4 9/12 x1 Motivation 23 x2 A really horrible answer 24 x3 Plane curves birational to a given curve 25 x4 Statement of the result 26 Lecture 5 9/16 x1 Homework 27 x2 Abel's theorem 27 x3 Consequences of Abel's theorem 29 x4 Curves of genus one 31 x5 Genus two, beginnings 32 Lecture 6 9/21 x1 Differentials on smooth plane curves 34 x2 The more general problem 36 x3 Differentials on general curves 37 x4 Finding L(D) on a general curve 39 Lecture 7 9/23 x1 More on L(D) 40 x2 Riemann-Roch 41 x3 Sheaf cohomology 43 Lecture 8 9/28 x1 Divisors for g = 3; hyperelliptic curves 46 x2 g = 4 48 x3 g = 5 50 1 Lecture 9 9/30 x1 Low genus examples 51 x2 The Hurwitz bound 52 2.1 Step 1 . 53 2.2 Step 10 ................................. 54 2.3 Step 100 ................................ 54 2.4 Step 2 .
    [Show full text]
  • Perylene Diimide: a Versatile Building Block for Complex Molecular Architectures and a Stable Charge Storage Material
    Perylene Diimide: A Versatile Building Block for Complex Molecular Architectures and a Stable Charge Storage Material Margarita Milton Submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy in the Graduate School of Arts and Sciences COLUMBIA UNIVERSITY 2018 © 2018 Margarita Milton All rights reserved ABSTRACT Perylene Diimide: A Versatile Building Block for Complex Molecular Architectures and a Stable Charge Storage Material Margarita Milton Properties such as chemical robustness, potential for synthetic tunability, and superior electron-accepting character describe the chromophore perylene-3,4,9,10-tetracarboxylic diimide (PDI) and have enabled its penetration into organic photovoltaics. The ability to extend what is already a large aromatic core allows for synthesis of graphene ribbon PDI oligomers. Functionalization with polar and ionic groups leads to liquid crystalline phases or immense supramolecular architectures. Significantly, PDI dianions can survive in water for two months with no decomposition, an important property for charge storage materials. We realized the potential of PDI as an efficient negative-side material for Redox Flow Batteries (RFBs). The synthetic tunability of PDI allowed for screening of several derivatives with side chains that enhanced solubility in polar solvents. The optimized molecule, PDI[TFSI]2, dissolved in acetonitrile up to 0.5 M. For the positive-side, we synthesized the ferrocene oil [Fc4] in high yield. The large hydrodynamic radii of PDI[TFSI]2 and [Fc4] preclude their ability to cross a size exclusion membrane, which is a cheap alternative to the typical RFB membranes. We show that this cellulose-based membrane can support high voltages in excess of 3 V and extreme temperatures (−20 to 110 °C).
    [Show full text]
  • Prism User's Guide 10 Copyright (C) 1999 Graphpad Software Inc
    User's Guide Version 3 The fast, organized way to analyze and graph scientific data ã 1994-1999, GraphPad Software, Inc. All rights reserved. GraphPad Prism, Prism and InStat are registered trademarks of GraphPad When you opened the disk envelope, or downloaded the Software, Inc. GraphPad is a trademark of GraphPad Software, Inc. purchased software, you agreed to the Software License Agreement reprinted on page 197. GraphPad Software, Inc. Use of the software is subject to the restrictions contained in the does not guarantee that the program is error-free, and cannot accompanying software license agreement. be held liable for any damages or inconvenience caused by er- rors. How to reach GraphPad Software, Inc: Although we have tested Prism carefully, the possibility of software errors exists in any complex computer program. You Phone: 858-457-3909 (619-457-3909 before June 12, 1999) should check important results carefully before drawing con- Fax: 858-457-8141 (619-457-8141 before June 12, 1999) clusions. GraphPad Prism is designed for research purposes Email: [email protected] or [email protected] only, and should not be used for the diagnosis or treatment of Web: www.graphpad.com patients. Mail: GraphPad Software, Inc. If you find that Prism does not fit your needs, you may return it 5755 Oberlin Drive #110 for a full refund (less shipping fees) within 90 days. You do not San Diego, CA 92121 USA need to contact us first. Simply ship the package to us with a note explaining why you are returning the program. Include your phone and fax numbers, and a copy of the invoice.
    [Show full text]