Exploring Orthonormal Functions

Theresa Julia Zielinski
Department of Chemistry, Medical Technology, and Physics, Monmouth University, West Long Branch, NJ 07764
J. Chem. Educ., 2007, 84 (11), p 1888
DOI: 10.1021/ed084p1888
Publication Date (Web): November 1, 2007

Abstract

In this document students explore orthonormal functions using particle-in-a-box wave functions. The particle-in-a-box wave functions are also used for fitting a linear combination of these functions to a target function. Students compare the quality of the fit between the target function and the linear combination of particle-in-a-box functions and calculate standard deviations.

Keywords (Audience):

Upper-Division Undergraduate

Keywords (Domain):

Physical Chemistry

Keywords (Feature):

JCE SymMath: Symbolic Mathematics in Chemistry

Keywords (Pedagogy):

Computer-Based Learning

Keywords (Subject):

Chemometrics

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History

  • Received: August 03, 2009

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