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Development of a water model with arbitrary rank multipolar polarization, repulsion and electrostatics
Stockholm University, Faculty of Science, Department of Physics.ORCID iD: 0000-0003-0377-408X
2019 (English)Licentiate thesis, comprehensive summary (Other academic)
Abstract [en]

I report on the derivation, development and computer implementation of methods for computing the energies and forces between small rigid polarizable molecules, that are defined by the center-of-mass moments of their electronic and nuclear charge distributions and their linear response moments. The formalism is based on compact and efficient storage and manipulation of symmetric Cartesian tensors of arbitrary rank, and a general formula for the Cartesian gradients of one-dimensional interaction (kernel) potentials. The theory is applied to many-body interactions among water molecules. Permanent moments of the water molecule are computed up to the 9th order with quantum-chemistry software and their basis-set dependence is investigated. Response moments up to the 5th order are similarly investigated. Kernel potentials for electronic, nuclear and polarized interactions are suggested and compared to interaction energies from symmetry-adapted perturbation-theory. I discuss vibrational degrees of freedom and report on a novel method for fitting high rank moment tensors to a flexible geometry. The method is based on decomposition of the tensor into a sum of outer products of vectors, which are defined in the lab-frame by the molecular geometry. I show that the formalism, which is based on an asymptotic expansion, can give good results at all ranges.  

Place, publisher, year, edition, pages
Stockholm University, 2019.
National Category
Atom and Molecular Physics and Optics
Research subject
Theoretical Physics
Identifiers
URN: urn:nbn:se:su:diva-167840OAI: oai:DiVA.org:su-167840DiVA, id: diva2:1302846
Available from: 2019-06-11 Created: 2019-04-06 Last updated: 2019-06-11Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
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  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
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  • Other locale
More languages
Output format
  • html
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  • asciidoc
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