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Did you mean partial AND box?

McCarthy, Chris; Lan, Jie; Li, Jieying – PRIMUS, 2019

We present noncompetitive adsorption as "particles in a box with one sticky wall." We start with a general model that can be modeled as a simple ordinary differential equation (ODE). To verify the ODE students run a computer simulation. The ODE's solution imperfectly fits the simulation's data. This leads to the diffusion partial…

Descriptors: Equations (Mathematics), Mathematical Models, Problem Solving, Computer Simulation

Using 'Particle in a Box' Models to Calculate Energy Levels in Semiconductor Quantum Well Structures

Ebbens, A. T. – Physics Education, 2018

Although infinite potential 'particle in a box' models are widely used to introduce quantised energy levels their predictions cannot be quantitatively compared with atomic emission spectra. Here, this problem is overcome by describing how both infinite and finite potential well models can be used to calculate the confined energy levels of…

Descriptors: Science Instruction, Energy, Physics, Mathematical Concepts

Manae, Meghna A.; Hazra, Anirban – Journal of Chemical Education, 2016

In a course on chemical applications of symmetry and group theory, students learn to use several useful tools (like character tables, projection operators, and correlation tables), but in the process of learning the mathematical details, they often miss the conceptual big picture about "why" and "how" symmetry leads to the…

Descriptors: Chemistry, Concept Teaching, Scientific Concepts, Models

Yang, Hanjun; Fan, Winnie; Hills-Kimball, Katie; Chen, Ou; Want, Li-Qiong – Journal of Chemical Education, 2019

Quantum dots (QDs) are considered useful for demonstrating quantum phenomena in undergraduate laboratories due to their monodisperse size and excellent optical properties. Although doping has an increasingly important role in QD fabrication in the semiconductor field, it has rarely been discussed in the context of the undergraduate laboratory. In…

Descriptors: Science Instruction, College Science, Undergraduate Study, Science Laboratories

Montgomery, Jason M.; Mazziotti, David A. – Journal of Chemical Education, 2020

An introduction to the Quantum Chemistry Package (QCP), implemented in the computer algebra system Maple, is presented. The QCP combines sophisticated electronic structure methods and Maple's easy-to-use graphical interface to enable computation and visualization of the electronic energies and properties of molecules. Here we describe how the QCP…

Descriptors: Chemistry, Physics, Computation, Computer Uses in Education

Anupam, Aditya; Gupta, Ridhima; Naeemi, Azad; JafariNaimi, Nassim – IEEE Transactions on Education, 2018

Quantum mechanics (QMs) is a foundational subject in many science and engineering fields. It is difficult to teach, however, as it requires a fundamental revision of the assumptions and laws of classical physics and probability. Furthermore, introductory QM courses and texts predominantly focus on the mathematical formulations of the subject and…

Descriptors: Quantum Mechanics, Experiential Learning, Introductory Courses, Educational Games

Harris, C.; Gaster, C.; Gelabert, M. C. – Journal of Chemical Education, 2019

Synthesis and characterization of nanomaterials yields opportunities for instruction of related topics in solution chemistry and materials science, as well as spectroscopy connecting to band theory, the "particle in a box" quantum mechanical model, and thermodynamics. In collaboration with an undergraduate research assistant, we have…

Descriptors: Science Instruction, Science Experiments, Chemistry, Thermodynamics

Cruzeiro, Vinícius Wilian D.; Gao, Xiang; Kleiman, Valeria D. – Journal of Chemical Education, 2019

The ready availability of interactive platforms has produced a new generation of students able to utilize computer-based learning tools with ease and comfort. The potential to better "explore by yourself" the lecture material permits students to have an enhanced learning experience and stimulates them to tinker with equation parameters…

Descriptors: Science Instruction, Quantum Mechanics, Chemistry, College Science

Three-Dimensional Visualization of Wave Functions for Rotating Molecule: Plot of Spherical Harmonics

Nagaoka, Shin-ichi; Teramae, Hiroyuki; Nagashima, Umpei – Journal of Chemical Education, 2013

At an early stage of learning quantum chemistry, undergraduate students usually encounter the concepts of the particle in a box, the harmonic oscillator, and then the particle on a sphere. Rotational levels of a diatomic molecule can be well approximated by the energy levels of the particle on a sphere. Wave functions for the particle in a…

Descriptors: Science Instruction, Chemistry, College Science, Molecular Structure

Anderson, Bruce D.; Gordon, Christopher M. – Journal of Chemical Education, 2008

In this experiment, linear polyynes are synthesized and then the predictions of a one-dimensional, particle in a box are used to calculate the quantum mechanical box length for the polyynes. A solution of graphite in ethanol is irradiated with a Nd:YAG laser (532 nm) and the resulting solution is filtered and analyzed. Data from gas…

Descriptors: Quantum Mechanics, Physics, Chemistry, Lasers

Rice, Charles V.; Giffin, Guinevere A. – Journal of Chemical Education, 2008

Semiconductor quantum dots are at the forefront of materials science chemistry with applications in biological imaging and photovoltaic technologies. We have developed a simple laboratory experiment to measure the quantum-dot size from fluorescence spectra. A major roadblock of quantum-dot based exercises is the particle synthesis and handling;…

Descriptors: Scientific Concepts, Chemistry, Quantum Mechanics, Laboratory Experiments

Hoekzema, Dick; van den Berg, Ed; Schooten, Gert; van Dijk, Leo – Physics Education, 2007

The combination of mathematical and conceptual difficulties makes teaching quantum physics at secondary schools a precarious undertaking. With many of the conceptual difficulties being unavoidable, simplifying the mathematics becomes top priority. The particle/wave-in-a-box provides a teaching model which includes many aspects of serious …

Descriptors: Foreign Countries, Teaching Models, Physics, Secondary Education

Bauer, Christina A.; Hamada, Terianne Y.; Kim, Hyesoo; Johnson, Mathew R.; Voegtle, Matthew J.; Emrick, Matthew S. – Journal of Chemical Education, 2018

Quantum dots (QDs) are useful for demonstrating the particle-in-a-box (PIB) model utilized in quantum chemistry, and can readily be applied to a discussion of both thermodynamics and kinetics in an undergraduate laboratory setting. Modifications of existing synthetic procedures were used to create QDs of different sizes and compositions (CdS…

Descriptors: Science Instruction, College Science, Undergraduate Study, Chemistry

Miller, Tierney C.; Richardson, John N.; Kegerreis, Jeb S. – Journal of Chemical Education, 2016

This manuscript presents an exercise that utilizes mathematical software to explore Fourier transforms in the context of model quantum mechanical systems, thus providing a deeper mathematical understanding of relevant information often introduced and treated as a "black-box" in analytical chemistry courses. The exercise is given to…

Descriptors: Science Instruction, Mathematics, Computer Software, Educational Technology

Williams, Brian Wesley; Celius, Tevye C. – Journal of Chemical Education, 2008

The Darboux transformation in quantum mechanics is reviewed at a basic level. Examples of how this transformation leads to exactly solvable potentials related to the "particle in a box" and the harmonic oscillator are shown in detail. The connection between the Darboux transformation and some modern operator based approaches to quantum mechanics…

Descriptors: Quantum Mechanics, Science Instruction, Scientific Concepts, Teaching Methods