Teaching Nonradiative Transitions with MATLAB and Python

Zheng, Xin; Drummer, Matthew C.; Russell, Thomas A.; Gozem, Samer; Glusac, Ksenija D.

doi:10.1021/acs.jchemed.4c00604

Teaching Nonradiative Transitions with MATLAB and Python

Journal Article · Wed Oct 23 00:00:00 EDT 2024 · Journal of Chemical Education

DOI:https://doi.org/10.1021/acs.jchemed.4c00604· OSTI ID:2570702

^[1]; Drummer, Matthew C. ^[1]; Russell, Thomas A. ^[2]; ^[3]; ^[1]

Univ. of Illinois, Chicago, IL (United States); Argonne National Laboratory (ANL), Argonne, IL (United States)
Univ. of Illinois, Chicago, IL (United States)
Georgia State Univ., Atlanta, GA (United States)

Nonradiative transitions are changes in energy states of atoms, ions, or molecules that do not involve the emission or absorption of photons. Despite their importance in understanding luminescent properties and photochemical reaction mechanisms, nonradiative transitions are rarely given more than a qualitative overview in undergraduate and even graduate physical chemistry curricula. To supplement the coverage of nonradiative transition topics, we provide here a set of active learning exercises to help students develop an intuitive understanding of the factors that determine the rate of nonradiative transitions. Here, we start by outlining the theoretical background through the formulations of the Franck–Condon factor and its relation to the rate of nonradiative transition. We then introduce three teaching modules, with associated MATLAB and Python codes, to explore how (1) the excited state nuclear displacement, (2) the electronic energy gap between excited and ground state and (3) the excited/ground state vibrational mode frequencies affect the magnitude of the Franck–Condon factor and thereby the rate of nonradiative transitions. The wave function overlap plots that accompany all teaching modules provide direct visualization of the effect of input parameters on the magnitude of Franck–Condon overlap integral.

View Accepted Manuscript (DOE)

Research Organization:: Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Organization:: National Science Foundation (NSF); USDOE

Grant/Contract Number:: AC02-06CH11357

OSTI ID:: 2570702

Journal Information:: Journal of Chemical Education, Journal Name: Journal of Chemical Education Journal Issue: 11 Vol. 101; ISSN 0021-9584; ISSN 1938-1328

Publisher:: American Chemical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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