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Gotwals, Jr. Computational Science Educator The Shodor Education Foundation, Inc.\(l\k\Presentation Structure rTechnology in education Computational Science and Communications Technologies Computational chemistry in educationss gY%About the Shodor Education Foundationza non-profit Durham-based science and mathematics education group goal: the appropriate and authentic use of technologies for science and mathematics education appropriate: right time and right place authentic: using the same tools as used by practicing scientists in real problem-solving environments small staff, mostly former supercomputing center scientists and educators<JJ~o%About the Shodor Education Foundation&& boperating philosophy- being  Shodorific what is the incremental cost of extending materials and resources that are funded through other sources? guiding question: can the same technologies used in scientific research (R&D) be used to improve science and mathematics education? Audience: K through deathV)i)  8R[K~What We Believe: Shodor s Philosophy of Technology in Education@@HComputation and communication technologies ought to be used, in so far as possible, in the same ways by learners and educators as by professionals exploring the same phenomena. Corollary: Educational software isn t Technology will never replace teachers, but teachers who use technology in effective ways will replace those who don t. Technology is like a steamroller: you can either drive or become part of the road. 6''dV5Changing the Face,Place, Pace: What Technology Can Doalter the pace of observation, collaboration adapt to individual learning styles redefine the "learning place and  learning pace learner-centered: BRL phenomena-centered: SimSurface resource-centered: EKMA Air Quality Modeling broaden the base of observers Different ages, perspectives, life experiences same times, different observations different times, similar observations PgzgzK5K?KK7KKK[\MAuthentic Science Observations accurately recorded honestly reported assumptions biases Conjectures what if? consistent vs. conclusive? P=&=&l_Authentic Science  Collaborations peers mentors experts Choosing the right tools techniques technologies facilitate hypothesis BUILDING at the right time experiments: Learn-by-doing numerical, visual investigations differences between observations and conclusions d!!cT*Technology can also& .  increase isolation magnify stress exacerbate differences add to the confusion fail to work get the wrong answer cost too much_PNavigating the Information Mess  -Noise Signal Data Information Knowledge TruthaSRShodor s  WWW - Evidence-based reasoning** WOW! why is this exciting? what can/do we observe? WHY? what can we learn from our observations? how are we sure we are right? WHO CARES?d.G .G ^OEducators: Change Agents Teachers need working knowledge of technologies techniques tools Goal for the teacher control the  T P##`Q@On the Internet, no one knows& ..!! |"It was once conjectured that a million monkeys typing on a million typewriters could eventually produce all the works of Shakespeare. Now, thanks to the Internet, we know this is not true. l m`FShodor s Philosophy on the Internet$" $ many Internet sites are: electronic versions of print materials  lists of links to other sites what is the  value-added of the Internet? interactive activities access to expensive computing resources access to partnerships, collaborations, experts, mentorsl" dG" +" dx" G+xEKFKZJ!Interactive Learning Environments"" Nharness and integrate appropriate 20th century technologies to enable authentic explorations of 20th century mathematics and science before the end of the 20th century. facilitate transformation of consumers of information into producers democratize research and exploration teams broaden the application of evidence-based reasoning ON eU,Technology s Challenge rJust because we can& . & .doesn t mean we should!:l:, -Computational Science: A Tripartite Approach..  Computational (Science Education): using numerical modeling and scientific visualization to improve education in the sciences and mathematics (Computational Science) Education: understanding how best to introduce and use the concepts, tools, and applications of modeling and visualization!! What is Computational Science? the joining of application, algorithm and architecture to solve a complex scientific problem The "Tripartite" of Computational Science Applications: understanding the science of the problem Algorithm: creating a mathematical representation of the problem -- the "mathematical model" Choosing the right numerical method to solve the mathematical model Architecture: choosing the right platform (hardware) to solve the problemX  D J DJ  ApplicationsChemistry: electronic structure determinations Physics: astrophysics (galaxy simulations) Biology: population dynamics Mathematics: fractals Environmental Science: acid rain deposition models Linguistics: analysis of language transference Economics: Adam Smith models Political Science/History: causative factors in Bosnian War conflict Medicine: epidemiology, pharmacokinetics models Algorithms  creating a mathematical representation of the problem -- the "mathematical model" choosing the appropriate numerical "recipe" to solve the problem Examples Linear Least Squares: for fitting data to a line Newton's Method: for finding roots of an equation Euler's Method: for solving integrals Runge-Kutta Methods: for solving integrals Cramer's Rule: for solving systems of equations<   Architecture choosing the appropriate "platform" to solve the problem single-user personal computer (IBM PC, Macintosh) scientific workstation (SGI Indy 2) workstation clusters supercomputer (Cray T3D MPP system) scalar/serial processors vector processors parallel processors vector/parallel machines<9X9XComputational Science Toolshtypes of tools for solving computational problems programming: Fortran, BASIC, C, Pascal spreadsheets equation-solvers: Mathematica, TKSolver, Maple, MathCAD dynamic modelers: STELLA II, VenSim scientific visualization programs: NCSA SciViz Tools, Spyglass, AVS, RasMol, Wavefront discipline-specific software: GAUSSIAN94, MOPAC, MacSpartan, Spartan, etc.(2727BUT!! Why do we need this? there are many interesting problems that can be solved using this technology that cannot be easily solved using traditional methods too tedious to solve problems using calculators too dangerous to try to solve problems in the laboratory too expensive to try to solve problems in the laboratory problems are only solvable using mathematical techniques or models establish a true marriage between mathematics, computing and science<EE]N!Computational Science Launch Ramp""   Why Computational Chemistry? 0The underlying physical laws necessary for the mathematical theory of a large part of physics and the whole of chemistry are thus completely known, and the difficulty is only that the exact application of these laws leads to equations much too complicated to be soluble. P.A.M. Dirac 1929 81lf!Computational Chemistry Defined  fthe branch of chemistry that uses computers to generate information that is complementary to experimental data on the structures, properties, and reactions of substances mostly based on one algorithm: Schrodinger s Equation historically, computational chemistry has required use of high-performance systems Guiding Questions rWhat is the role and purpose of computational chemistry? What does computational chemistry allow us to do that cannot be done using "traditional" (i.e. wet ) chemistry? What is the fundamental mathematical expression that needs to be solved in doing computational chemistry? What are the terms in this equation, what is their significance, what variations can be used?sspGuiding Questions What are the approximations that can be used in doing computational chemistry? What are the pros and cons of the various approximations? How does choice of approximation affect the results, the computing time, etc. There are roughly three different "flavors" to computational chemistry: ab initio methods, semiempirical methods, and molecular mechanics/molecular dynamics. What are these methods? How do they differ? RQQI |Guiding Questions QWhat are the fundamental units of measure used by computational chemists? What are some different ways that these fundamental units might be expressed? What are some of the computer codes that one might use to do computational chemistry? What platforms are needed for these codes, what are the strengths and limitations of these codes?RR" Applications  electronic structure determinations geometry optimizations frequency calculations transition structures protein calculations, i.e. docking electron and charge distributions potential energy surfaces (PES) rate constants for chemical reactions (kinetics) thermodynamic calculations$Models of atomic structures tBohr model electrons are  billiard balls follows rules of classical mechanics Quantum model electrons behave like  waves quantum model more accurately reflects true nature of the atomP E] E]pdThe Bohr Model qeThe Bohr Model as the electron moves  up to the next  n level, the energy increases. electrons prefer to be in the lowest level possible, called the  ground state when electrons fall from a high level to a low level, energy is released, in the form of light*"The Quantum Modelclassical model doesn t hold up quantum model suggests that the electrons data can only be calculated as a probability we can only know so much about the electron (position, velocity, etc.) to a certain precision at a given time rb Units in Computational Chemistry!! Bohr: atomic unit of length (a0) equal to the radius of the first Bohr orbit for a hydrogen atom 5.29 x 10-11 m, typically 5.29 nm (nanometers) 52.9 picometers (pm), 0.529 Angstroms Hartree: unit of energy equal to twice the energy of a ground state hydrogen atom equivalent to 627.5 kcal mole-1 Debye: unit of dipole moment Bond lengths and bond angles bond lengths: angstroms (1 x 10-10 meters)"@U: ;, @  H: ;  #Computational Chemistry Codes %Gaussianxx GAMESS MOPAC Spartan Sybyl+#&Mathematics of Computational ChemistrySchrodinger s Equation: an eigenfunction H is the  hamiltonian operator E is the energy of the atom or molecule Psi is the wavefunction(*`*`3+)Approximations in Computational ChemistryNBorn-Oppenheimer approximation compared to electrons, nuclei are slow-moving, large mass objects. Hartree-Fock approximation separation of many-electron orbitals into a series of one-electron orbitals LCAO (linear combination of atomic orbital) approximation molecular orbitals are formed from combining single atom atomic orbitalsxFL:IFL:I4, LCAO Modeleach atom is represented by ONE wavefunction One wavefunction = one atomic orbital (AO) each wavefunction is centered on the nucleus One molecular orbital (MO) = sum of all the AOs the accuracy of the representation of the true molecular orbital depends on the BASIS SETxk Basis Sets zl Basis Setsthese equations show the generalized formulas for the basis sets for the 1s and 2p orbitals the key ingredients are: the  normalization factor N the contraction coefficient  alpha the radius (distance from the nucleus) r for 2p orbitals, the x-y-z coordinate value(uu{m Basis Sets 80Spartan/MacSpartan }professional-level computational chemistry software performs ab initio electronic structure determinations: up to 50 atoms semi-empirical molecular orbital calculations: hundreds of atoms molecular mechanics calculations: thousands of atoms MacSpartan performs most of the functions of UNIX-based Spartan code Graphical user interface (GUI), with an emphasis on organic compoundsH== viSpartan/MacSpartan  <4Molecular Mechanics assumes atoms to be like spheres at the end of a spring atoms obey classical mechanics Hooke s Law: F = -kx Newton s Second Law: F=ma used almost exclusively for molecules of 100 atoms or more proteins pharmaceuticals large biologicalsHW1;+W1;+>6Semi-empirical methods Aused for calculations of molecules from 50-100 atoms borrows from both experimental and ab initio methods attempts to simplify difficult mathematical equations in ab initio with SOME real data (empirical data) from the lab has advantage in being well-suited for studying the behavior of molecules in solution (i.e. water)Hjucj9 3c=5ab initio methods    ZLatin for  from scratch or  from the beginning or  from first principles used for calculations of 1 to 50 atoms -  small molecule all results come from significant computational analysis of Schrodinger s equation generally considered to be the most accurate but also most computationally expensiven]2Shodor outreach efforts in computational chemistry33 (Project SUCCEED: Stimulating Understanding of Computational science through Collaboration, Exploration, Experiment and Discovery Computational Chemistry for Chemistry Educators ChemViz: partnership with National Computational Science Alliance (NCSA), Research Experience for Undergraduates (REU))  sf1SUCCEED: Explorations in Computational Chemistry22 830-hour workshop for beginning and advanced high school chemistry students guiding question: can HS students use professional-level tools to better understand fundamental chemical principles? structure 15 hours of short lectures and guided lab activities 15 hours of small group projects with final presentation$nnwj1SUCCEED: Explorations in Computational ChemistryBe able to create molecules using a graphical builder, and perform basic operations. Be able to build, submit, and interpret a variety of calculations on a given molecule, such as geometry optimizations, frequency calculations, and transition structures. Be able to create, understand and explain various visualizations and animations, such as molecular orbitals, transition energy curves, and vibrational frequencies. Be able to conceive, implement, and provide an analysis to a small research question in a collaborative environment, and be able to communicate the results of that analysis in a variety of formats to diverse audiences.OKRK)@q1SUCCEED: Explorations in Computational Chemistry22 7Topics building molecules single point energies geometry optimizations frequency calculations transition structures high performance tools Labs Bohr atom and emission spectra Slater and Gaussian orbitals optimal bond angles in water electrostatic potential and pKa in acids optimization of conformers of butane PXKth/Computational Chemistry for Chemistry Educators1Web-based course for chemistry educators high school teachers community college instructors undergraduate faculty labs done using Gaussian94 at the North Carolina Supercomputing Center over 200 faculty world-wide Goal (unrealized): creation of repository of materials URL: http://www.shodor.org/compchem6)I)IUK1K wash:Applications:Internet Applications:Internet Explorer 3.01:Internet Explorer 3.0112K12ug%ChemViz: NCSA/Shodor REU partnershipTitle:  A Framework for Education Applications of PACI Technologies and Tools Goal: leverage NSF- and other-funded projects integration of online tools (NCSA s ChemViz software), online courses (Shodor s CCCE), and other resources take advantage of collaborative tools to allow experts and undergraduate students to work together6lclcZKOYKSK}nConcluding observations technology is a useful TOOL for both students and educators, but it needs to be used appropriately and authentically students can and should be using the same technologies, techniques, and tools as practicing scientists computational science is one of the critical tools for doing 20th century science educators are the focal point of change, in partnership with the research communityrFor more information Web pages: Shodor: http://www.shodor.org Project SUCCEED: http://www.shodor.org/succeed Computational Chemistry for Chemistry Educators: http://www.shodor.org/compchem Staff Dr. Robert Panoff ( Bob1 ): rpanoff@shodor.org Bob Gotwals ( Bob2 ): gotwals@shodor.org Office 923 Broad St. Durham NC 27705 919 286-1911 (voice/TDD) 919 286-7876 (fax)  YJ YJ/TTXYPRpsxHH(FG(HH(d'h  ` ̙33` ` ff3333f` 333MMM` f` f` 3>?" dd@?lKd@### d  @lA` d n?" dd@   @@``PR    @ ` ` p>>  y( .5% X8 dy dy  T2 @1?dy  Tى2 @1?y  ZDwawa1?: Z(Computational Chemistry in the Classroom))   `wawa1?LF A*X8 <y  <y  T2 @1?<yk  Tى2 @1?yp   HA1?8:    `dwawa1 ?   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BpIs[= Pŕz RS'TDIvE%9HJ}4QL@DIRh<*&c] Z^.-ݝͨB4B |rB,ftAfȶ|w-lв/9kKSXJ`͸ST~^KV+5WH7~ ]<~yqTLCeG`P$h0A,D*NbdhPU"һjk6Ig˅Hݞwאٗk"#`y_a*\wrU 0 Ni0 `ZӲ#1Q^otGǍ V=X>1Vklf3ˑI fQT F`BJT b<ԛ) a*LK[Y4תUV-[̫S dVqQ2Q63b8ph! 8ڊE 3ɚ̼wzE+YOfMO Ƈ!i&oq}&/;-L]rS$p0$x <ͭ꿩6?-O"ko`79tcP{i`U5q|ʃ/-&*R0X5ȻP/?ٙ}ٔ%K/|ivn8$x/|ƗZoլuT;\ ڸ;b:ן.?.>\eW+"~  W T 3|ӱ9X_JL#UP Bƴ*Ҷc0Ngkp6*?2N-*365 / BDB7~1N9?K Oh+'0((4      '3Computational Chemistry: Authentic AND Appropriate %Computational Chemistry in EducationD ARobert R. Gotwals, Jr. obeobegwash:Applications:Microsoft PowerPoint 4:Templates:On Screen & 35mm Slides:dbllines.ppt - Double Linesc Bob Gotwals97 Microsoft PowerPoint 4.0ft @ *@Ԏ߽@5窤@Qu߽J< Explorations in Computational Chemistry2SUCCEED: Explorations in Computational Chemistry0Computational Chemistry for Chemistry Educators&ChemViz: NCSA/Shodor REU partnershipConcluding observationsFor more information  Fonts UsedDesign TemplateEmbedded OLE Servers Slide Titles7h(RZ _PID_GUID _PID_HLINKS'AN{2FF35300-4AD9-11D2-BC82-B9307C253E80}AHhttp://www.shodor.org/braillexhttp://www.shodor.org/ekmax(http://www.shodor.org/master/simsurfacexhttp://www.ncsc.org/xhttp://www.eot.org/xvib.movx8http://www.shodor.org/succeed/projects/compchem/cchem97xhttp://www.shodor.org/compchemxhttp://www.shodor.org/compchemx0http://www.shodor.org/succeed/compchem/labs/stox%http://www.ncsa.uiuc.edu/edu/ChemVizx9http://www.krellinst.org/neot/reu/awards98/reu98002.htmlx#_[L Bob Gotwals