Analysis of ramped square-wave voltammetry in the frequency domain
We present a new approach to the analysis of square-wave voltammetry in the frequency domain. By extending our earlier work (J. Electroanal. Chem. 480 (2000) 133) on the numerical simulation of ac sine wave voltammetry, we are able to solve the governing equations when a square waveform of any ampli...
| 主要な著者: | , , , |
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| フォーマット: | Journal article |
| 言語: | English |
| 出版事項: |
2001
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| _version_ | 1826294418461687808 |
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| author | Gavaghan, D Elton, D Oldham, K Bond, A |
| author_facet | Gavaghan, D Elton, D Oldham, K Bond, A |
| author_sort | Gavaghan, D |
| collection | OXFORD |
| description | We present a new approach to the analysis of square-wave voltammetry in the frequency domain. By extending our earlier work (J. Electroanal. Chem. 480 (2000) 133) on the numerical simulation of ac sine wave voltammetry, we are able to solve the governing equations when a square waveform of any amplitude is superimposed onto a linearly varying dc potential which is swept at a finite scan rate. By considering the numerical results in the frequency domain by using the fast Fourier transform (FFT) method, we are able to develop a very simple and general form of analysis which will theoretically allow consideration of reaction phenomena over a very wide range of timescales using a single potential sweep. We go on to develop some novel theoretical analyses, which support our numerical results, using an assumption that the applied square-wave signal is superimposed on top of a fixed (or very slowly varying) dc signal. This allows us to give exact and surprisingly simple analytical results relating the amplitude and phase of the output signal at the half-wave potential (at odd multiples of the fundamental frequency), to the amplitude of the applied square-wave signal, for any amplitude of the applied signal. Finally, we give brief experimental results showing qualitative agreement with our simulation results. © 2001 Elsevier Science B.V. All rights reserved. |
| first_indexed | 2024-03-07T03:45:19Z |
| format | Journal article |
| id | oxford-uuid:bf46dd64-9320-49fb-bbc4-6d97c36b93cf |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T03:45:19Z |
| publishDate | 2001 |
| record_format | dspace |
| spelling | oxford-uuid:bf46dd64-9320-49fb-bbc4-6d97c36b93cf2022-03-27T05:46:13ZAnalysis of ramped square-wave voltammetry in the frequency domainJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:bf46dd64-9320-49fb-bbc4-6d97c36b93cfEnglishSymplectic Elements at Oxford2001Gavaghan, DElton, DOldham, KBond, AWe present a new approach to the analysis of square-wave voltammetry in the frequency domain. By extending our earlier work (J. Electroanal. Chem. 480 (2000) 133) on the numerical simulation of ac sine wave voltammetry, we are able to solve the governing equations when a square waveform of any amplitude is superimposed onto a linearly varying dc potential which is swept at a finite scan rate. By considering the numerical results in the frequency domain by using the fast Fourier transform (FFT) method, we are able to develop a very simple and general form of analysis which will theoretically allow consideration of reaction phenomena over a very wide range of timescales using a single potential sweep. We go on to develop some novel theoretical analyses, which support our numerical results, using an assumption that the applied square-wave signal is superimposed on top of a fixed (or very slowly varying) dc signal. This allows us to give exact and surprisingly simple analytical results relating the amplitude and phase of the output signal at the half-wave potential (at odd multiples of the fundamental frequency), to the amplitude of the applied square-wave signal, for any amplitude of the applied signal. Finally, we give brief experimental results showing qualitative agreement with our simulation results. © 2001 Elsevier Science B.V. All rights reserved. |
| spellingShingle | Gavaghan, D Elton, D Oldham, K Bond, A Analysis of ramped square-wave voltammetry in the frequency domain |
| title | Analysis of ramped square-wave voltammetry in the frequency domain |
| title_full | Analysis of ramped square-wave voltammetry in the frequency domain |
| title_fullStr | Analysis of ramped square-wave voltammetry in the frequency domain |
| title_full_unstemmed | Analysis of ramped square-wave voltammetry in the frequency domain |
| title_short | Analysis of ramped square-wave voltammetry in the frequency domain |
| title_sort | analysis of ramped square wave voltammetry in the frequency domain |
| work_keys_str_mv | AT gavaghand analysisoframpedsquarewavevoltammetryinthefrequencydomain AT eltond analysisoframpedsquarewavevoltammetryinthefrequencydomain AT oldhamk analysisoframpedsquarewavevoltammetryinthefrequencydomain AT bonda analysisoframpedsquarewavevoltammetryinthefrequencydomain |