Leading to a Better Understanding of the Particle-in-a-Quantum-Corral Model

Date

2019-01-01

Author

Agcali, Rahime Yagmur
Atik, Bahar
Bilgen, Ecenaz
Karli, Berfu
Danışman, Mehmet Fatih

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

255
views

0
downloads

Understanding the concepts of quantum mechanics has always been a challenge for undergraduate students. This is especially so because many of the introductory (analytically solvable) systems and problems discussed in textbooks are seemingly abstract. Using approximate experimental demonstrations of such systems and problems have been shown to be very helpful in teaching and illustrating the basic concepts of quantum mechanics. One such system is the particle-inside-a-ring system, whose experimental demonstration was achieved 25 years ago in the form of a "quantum corral" of iron atoms arranged in a ring on a copper surface by using scanning tunneling microscopy. However, this system, which can be a very good model to demonstrate the concepts of quantum mechanics, has not been treated in depth in the literature or in quantum-chemistry textbooks from an educational point of view. Here, we examine the particle-inside-a-ring system and its experimental demonstration in order to elucidate the difference between the superposition and statistical-mixture concepts and to provide an explicit description of how experimental data can be related (fitted) to a theoretical model.

Subject Keywords

Chemometrics, Theoretical chemistry;, Computational chemistry, Statistical mechanics, Mathematics/symbolic mathematics, Problem solving/decision making, Quantum chemistry, Computer-based learning, Physical chemistry, Upper-division undergraduate

URI

https://hdl.handle.net/11511/41192

Journal

JOURNAL OF CHEMICAL EDUCATION

DOI

https://doi.org/10.1021/acs.jchemed.8b00622

Collections

Department of Chemistry, Article

Suggestions

OpenMETU
Core

Analysis of analogy use on function concept in the ninth grade mathematics textbook and classrooms Ünver, Emel; Ubuz, Behiye; Department of Secondary Science and Mathematics Education (2009) The primary objective of the current study was to examine how analogies are used on function concept in the ninth grade mathematics textbook and classrooms. Using qualitative research procedure comprising textbook analysis and classroom observations, a picture was developed of how analogies used on function concept in ninth grade mathematics textbook and classrooms. One mathematics textbook, the primary source for observed classes was selected and analyzed for the study. Chapter entitled as “functions” in t...
Students understanding of limit concept: an apos perspective Çetin, İbrahim; Özden, Yaşar; Department of Computer Education and Instructional Technology (2009) The main purposes of this study is to investigate first year calculus students’ understanding of formal limit concept and change in their understanding after limit instruction designed by the researcher based on APOS theory. The case study method was utilized to explore the research questions. The participants of the study were 25 students attending first year calculus course in Middle East Technical University in Turkey. Students attended five weeks instruction depending on APOS theory in the fall semester...
Exploring representation of nature of science aspects in 9th grade chemistry textbooks Esmer, Feyza; Geban, Ömer; Department of Secondary Science and Mathematics Education (2011) The aim of this study was to examine the representation of Nature of Science (NOS) aspects in 9th grade chemistry textbooks. Two textbooks nation-wide used are analyzed, one of them is written in Turkish the other in English. These textbooks were written according to 2008-2009 education program’s curriculum. A qualitative oriented approach was employed and ethnographic content analysis was used as the methodological framework for this research as Irez (2006) has performed. Data were analyzed by means of boo...
Shape-invariance approach and Hamiltonian hierarchy method on the Woods-Saxon potential for l not equal 0 states Berkdemir, Cueneyt; BERKDEMİR, Ayşe; Sever, Ramazan (Springer Science and Business Media LLC, 2008-03-01) An analytically solvable Woods-Saxon potential for l not equal 0 states is presented within the framework of Supersymmetric Quantum Mechanics formalism. The shape-invariance approach and Hamiltonian hierarchy method are included in calculations by means of a translation of parameters. The approximate energy spectrum of this potential is obtained for l not equal 0 states, applying the Woods-Saxon square approximation to the centrifugal barrier term of the Schrodinger equation.
Revealing Implicit Knowledge of Pre-Service Mathematics Teachers in Lesson Planning: Knowledge of Infinity Savuran, Rüya; Işıksal Bostan, Mine (2022-7-01) The study aims to explore how pre-service mathematics teachers reveal their knowledge of infinity during the lesson planning process in the context of limit. Specifically, we adopted the dimensions of mathematics teachers’ specialized knowledge, which are related to mathematical knowledge and its relation with teaching. We conducted an exploratory case study design in a two-cycle lesson planning process with three senior pre-service mathematics teachers. The findings indicated that in the first planning pro...

Citation Formats

R. Y. Agcali, B. Atik, E. Bilgen, B. Karli, and M. F. Danışman, “Leading to a Better Understanding of the Particle-in-a-Quantum-Corral Model,” JOURNAL OF CHEMICAL EDUCATION, pp. 82–88, 2019, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/41192.