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ERIC Number: EJ918281
Record Type: Journal
Publication Date: 2010-Jun
Pages: 5
Abstractor: As Provided
Reference Count: 23
ISSN: ISSN-0021-9584
The Utility of the Lambert Function W[a exp(a - bt)] in Chemical Kinetics
Williams, Brian Wesley
Journal of Chemical Education, v87 n6 p647-651 Jun 2010
The mathematical Lambert function W[a exp(a - bt)] is used to find integrated rate laws for several examples, including simple enzyme and Lindemann-Christiansen-Hinshelwood (LCH) unimolecular decay kinetics. The results derived here for the well-known LCH mechanism as well as for a dimer-monomer reaction mechanism appear to be novel. A nonlinear fit of published enzyme kinetics data to a function of this type using Mathematica 7.0 is also shown. The prevalence of simple enzyme and LCH models in teaching and research makes the derivation of integrated rate laws for these cases of particular interest. (Contains 2 figures.)
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:; Web site:
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A