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Autor/inn/en | Jameson, Greg; Brüschweiler, Rafael |
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Titel | Active Learning Approach for an Intuitive Understanding of the Boltzmann Distribution by Basic Computer Simulations |
Quelle | In: Journal of Chemical Education, 97 (2020) 10, S.3910-3913 (4 Seiten)Infoseite zur Zeitschrift
PDF als Volltext |
Zusatzinformation | ORCID (Brüschweiler, Rafael) |
Sprache | englisch |
Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
ISSN | 0021-9584 |
Schlagwörter | Computer Simulation; Science Instruction; Thermodynamics; Statistics; Calculus; Teaching Methods; Computer Software; Active Learning; Scientific Concepts; Graduate Students; Undergraduate Students; Chemistry; Computer Assisted Instruction Computergrafik; Computersimulation; Teaching of science; Science education; Natural sciences Lessons; Naturwissenschaftlicher Unterricht; Thermodynamik; Statistik; Analysis; Differenzialrechnung; Infinitesimalrechnung; Integralrechnung; Teaching method; Lehrmethode; Unterrichtsmethode; Aktives Lernen; Graduate Study; Student; Students; Aufbaustudium; Graduiertenstudium; Hauptstudium; Studentin; Chemie; Computer based training; Computerunterstützter Unterricht |
Abstract | The Boltzmann distribution lies at the heart of essentially all of statistical thermodynamics. In most textbooks, this distribution is introduced either "ad hoc" or it is mathematically derived by constrained entropy optimization using the method of Lagrange multipliers. Unfortunately, when students enroll in a statistical thermodynamics course, many are not familiar with this method from their prerequisite calculus courses. The recent availability of powerful computational devices for essentially all students provides an alternative way to explore the origin of qualitative and quantitative aspects of the Boltzmann distribution. Here we demonstrate a straightforward simulation approach to obtain an intuitive understanding of this distribution. We also make available concise and easily understandable computer programs in MATLAB and Python, providing an opportunity for an active learning experience of this fundamental law. (As Provided). |
Anmerkungen | Division of Chemical Education, Inc. and ACS Publications Division of the American Chemical Society. 1155 Sixteenth Street NW, Washington, DC 20036. Tel: 800-227-5558; Tel: 202-872-4600; e-mail: eic@jce.acs.org; Web site: http://pubs.acs.org/jchemeduc |
Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
Update | 2024/1/01 |