A semi-classical model of proton tunnelling in hydrogen-bonded compounds

 

Show simple item record

dc.contributor.advisor Robertson, G N en_ZA
dc.contributor.author Lawrence, Michael Colin en_ZA
dc.date.accessioned 2016-03-11T14:28:38Z
dc.date.available 2016-03-11T14:28:38Z
dc.date.issued 1980 en_ZA
dc.identifier.citation Lawrence, M. 1980. A semi-classical model of proton tunnelling in hydrogen-bonded compounds. University of Cape Town. en_ZA
dc.identifier.uri http://hdl.handle.net/11427/17663
dc.description Bibliography: pages 233-238. en_ZA
dc.description.abstract Two back-to-back Morse potentials are used to model the protonic potential in a hydrogen bond. A mathematical method is developed to obtain semi-classical solutions for the eigenvalues and eigenfunctions of the potential. Particular care is taken over the form of approximation used in the vicinity of the barrier top. The double Morse potential is then used as the fundamental element in the analysis of the proton dynamics in a number of hydrogen-bonded species: a) Chromous acid. A consistent, quantitative explanation is found for the νs(OH)/vs(OD) bands in the mid-infrared spectra of CrOOH/CrOOD. The 226 cm⁻¹ band in the far infrared and neutron scattering spectra of CrOOH is shown to be caused by the protonic tunnelling mode. b) Carboxylic and Dicarboxylic acids. The 140 cm⁻¹ protonic upper state splitting in dimeric formic acid proposed by Excoffon and Marechal (1972) is shown to be supported by the double Morse potential analysis. The analysis suggest's however that the two hydrogen-bonded protons in (HCOOH)₂ tunnel independently. The anomalous vs(OH)/vs(OD) intensity ratios observed in the infrared spectra of both adipic acid and dimeric formic acid could not be explained in terms of mechanical anharmonicity alone. The protonic tunnelling frequency in crystalline formic acid is shown to be about 23 cm⁻¹ , which supports the order-disorder interpretation of the observed phase transition in this crystal. c) Potassium Dihydrogen Phosphate (KDP). The crystallographic and infrared spectroscopic data for KDP and DKDP are interpreted consistently using the double Norse potential. The bare single-particle tunnelling frequency Ω is estimated to be 320 ± 10 cm⁻¹ and the overtone band at 4600 cm⁻¹ in the infrared spectrum of KDP is shown to be a :0 →:3> single particle transition. The model is capable of predicting the temperature and pressure dependence of both the protonic tunnelling frequency and the protonic inter-site separation δ. The soft-mode Raman data of Peercy (1975) is re-analysed allowing for the temperature dependence of Ω. en_ZA
dc.language.iso eng en_ZA
dc.subject.other Physics en_ZA
dc.title A semi-classical model of proton tunnelling in hydrogen-bonded compounds en_ZA
dc.type Thesis / Dissertation en_ZA
uct.type.publication Research en_ZA
uct.type.resource Thesis en_ZA
dc.publisher.institution University of Cape Town
dc.publisher.faculty Faculty of Science en_ZA
dc.publisher.department Department of Physics en_ZA
dc.type.qualificationlevel Doctoral en_ZA
dc.type.qualificationname PhD en_ZA
uct.type.filetype Text
uct.type.filetype Image


Files in this item

This item appears in the following Collection(s)

Show simple item record