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dc.contributor.authorKim, Dong-Yun
dc.contributor.authorSchmidt, V. Hugo
dc.date.accessioned2015-02-12T22:22:11Z
dc.date.available2015-02-12T22:22:11Z
dc.date.issued1967-04
dc.identifier.citationKim, Dong-Yun, and V. Hugo Schmidt. “Semiclassical theory of proton transport in ice� Canadian Journal of Physics 45, no. 4 (April 1967): 1507–1516. doi:10.1139/p67-115.en_US
dc.identifier.issn0008-4204
dc.identifier.urihttps://scholarworks.montana.edu/xmlui/handle/1/8841
dc.description.abstractA method is described for calculating proton or other ion mobility which is applicable if mobility is limited by lattice scattering rather than by barrier jumping. The Boltzmann transport equation is used, with the collision term calculated from the electrostatic interactions between the mobile ion and the vibrating lattice. In particular the proton mobility in ice is calculated. The lattice vibrations are approximated by a Debye spectrum for translational vibrations of water molecules, plus an Einstein spectrum for modes in which protons vibrate almost as independent particles. Scattering by phonons somewhat below the Debye cutoff frequency is of the greatest importance in determining the mobility, and the proton modes have negligible effect. The calculated mobility agrees reasonably well with the experimental value.en_US
dc.subjectApplied mathematicsen_US
dc.subjectQuantum physicsen_US
dc.titleSemiclassical theory of proton transport in iceen_US
dc.typeArticleen_US
mus.citation.extentfirstpage1507en_US
mus.citation.extentlastpage1516en_US
mus.citation.issue4en_US
mus.citation.journaltitleCanadian Journal of Physicsen_US
mus.citation.volume45en_US
mus.identifier.categoryPhysics & Mathematicsen_US
mus.identifier.doi10.1139/p67-115en_US
mus.relation.collegeCollege of Letters & Science
mus.relation.collegeCollege of Letters & Scienceen_US
mus.relation.departmentPhysics.en_US
mus.relation.universityMontana State University - Bozemanen_US


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