H. T. Jonkman

Publications (5)20.36 Total impact

• Source

  Available from: Wim H Hesselink

  Article: Kekul\'e Cells for Molecular Computation

  W. H. Hesselink, J.C. Hummelen, H. T. Jonkman, H. G. Reker, G. R. Renardel de Lavalette, M. H. van der Veen
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  ABSTRACT: The configurations of single and double bonds in polycyclic hydrocarbons are abstracted as Kekul\'e states of graphs. Sending a so-called soliton over an open channel between ports (external nodes) of the graph changes the Kekul\'e state and therewith the set of open channels in the graph. This switching behaviour is proposed as a basis for molecular computation. The proposal is highly speculative but may have tremendous impact. Kekul\'e states with the same boundary behaviour (port assignment) can be regarded as equivalent. This gives rise to the abstraction of Kekul\'e cells. The basic theory of Kekul\'e states and Kekul\'e cells is developed here, up to the classification of Kekul\'e cells with $\leq 4$ ports. To put the theory in context, we generalize Kekul\'e states to semi-Kekul\'e states, which form the solutions of a linear system of equations over the field of the bits 0 and 1. We briefly study so-called omniconjugated graphs, in which every port assignment of the right signature has a Kekul\'e state. Omniconjugated graphs may be useful as connectors between computational elements. We finally investigate some examples with potentially useful switching behaviour.
  05/2007;
• Article: Kekulé Cells for Molecular Computation

  Wim H. Hesselink, J. C. Hummelen, H. T. Jonkman, H. G. Reker, Gerard R. Renardel de Lavalette, M. H. van der Veen
  CoRR. 01/2007; abs/0704.2282.
• Article: Molecules with Linear π‐Conjugated Pathways between All Substituents: Omniconjugation (Adv. Funct. Mater. 2004, 14, 215)

  M. H. van der Veen, M. T. Rispens, H. T. Jonkman, J. C. Hummelen
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  ABSTRACT: To view the original paper click http://dx.doi.org/10.1002/adfm.200305003
  Advanced Functional Materials 09/2004; 14(8):742 - 742. · 10.18 Impact Factor
• Article: Molecules with Linear π‐Conjugated Pathways between All Substituents: Omniconjugation

  M. H. van der Veen, M. T. Rispens, H. T. Jonkman, J. C. Hummelen
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  ABSTRACT: In this paper, omniconjugation is introduced as a topological phenomenon in π-conjugated systems. Omniconjugated molecules are defined by the fact that they provide direct and fully π-conjugated pathways between all substituents attached to them. Surprisingly, until now such topologies have never been explicitly recognized or investigated from this point of view. A topological design scheme is presented as a tool, which enables for the systematic construction of this novel class of π-electron molecular structures. Molecular building blocks with three or more connection points to the external moieties are proposed, which for the first time allows for the interconnection of many functional entities in a fully conjugated manner. In being truly conjugated, these pathways are expected to provide high transmission probabilities for holes and/or electrons. Omniconjugated structures may play an important role in the design of complex electronic circuitry based on organic molecules. On a larger scale, they may also give rise to special material properties. Although omniconjugation is based on a valence-bond description of the system, it is shown that our concept is in good agreement with results obtained from a molecular-orbital description of the electron probability distribution in the frontier orbitals.
  Advanced Functional Materials 02/2004; 14(3):215 - 223. · 10.18 Impact Factor
• Article: Molecules With Linear M-conjugated Pathways Between All Substituents: Omniconjugation

  J.C. Hummelen, M. H. van der Veen, M.T. Rispens, H. T. Jonkman