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Charge Transport in DNA - Insights from Simulations
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2.5ChargeTransport inDNA G(E) = (E1−H−ΣL−ΣR)−1 (ΣL)lj = −iγLδl1δj1 (2.34) (ΣR)lj = −iγRδlNδjN Then, the instantaneous current can be obtainedwith the integration of the trans- mission functionas I(V)= 2e h ·4γLγR · ∫ ∞ −∞ dE ( f ( E− eV 2 ) − f ( E+ eV 2 )) |G1N(E)|2 (2.35) with f being theFermi–Diracdistribution function. To obtain single values for the instantaneous current, the converged limiting cur- rent at the voltage of 2V,which is independent of the choice of the Fermi level, was considered. With theapplicationof this framework, two further conditions are assumed: • theCT ispurely coherent,meaning thatpossible incoherent scatteringwould bemissed [84] • themotionof electrons is faster than themotionofnuclei. These issues were addressed in Refs. [44, 45], where the methodology was de- scribed in detail. Note that the aim here is not to compute quantitative current– voltage characteristics, forwhichexplicit evaluationofFermienergies andaccount of all states possibly contributing to conductance at the consideredvoltagewould be required. Rather, themaximumcurrent at highvoltage is considered as a con- venientmeasure of the ability of theDNA-basedmolecular system to support co- herent CT. Actually, the CT parameters (electronic coupling (EC) and ionization potential(IP)) are the key quantities determining the rate of CT proceeding with anymechanism. Therefore, the obtained values ofmaximumcurrent can be con- sidered tobe indicative for the efficiencyofCT ingeneral. 31
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Charge Transport in DNA Insights from Simulations
Titel
Charge Transport in DNA
Untertitel
Insights from Simulations
Autor
Mario Wolter
Verlag
KIT Scientific Publishing
Datum
2013
Sprache
englisch
Lizenz
CC BY-SA 3.0
ISBN
978-3-7315-0082-7
Abmessungen
17.0 x 24.0 cm
Seiten
156
Schlagwörter
Charge Transport, Charge Transfer, DNA, Molecular Dynamics, Quantum Mechanics
Kategorien
Naturwissenschaften Chemie

Inhaltsverzeichnis

  1. Zusammenfassung 1
  2. Summary 3
  3. 1 Introduction 5
  4. 2 TheoreticalBackground 11
    1. 2.1 MolecularMechanics 11
    2. 2.2 MolecularDynamicsSimulation 13
      1. 2.2.1 Solving theEquationsofMotion 14
      2. 2.2.2 ThermodynamicEnsembles 15
    3. 2.3 QuantumChemistry 18
      1. 2.3.1 DensityFunctionalTheory 18
      2. 2.3.2 ApproximativeDFT–Density-FunctionalTight-Binding 21
    4. 2.4 DynamicsofExcessCharge inDNA 24
      1. 2.4.1 TheMulti-ScaleFramework 25
      2. 2.4.2 TheFragmentOrbitalApproach 26
    5. 2.5 ChargeTransport inDNA 29
      1. 2.5.1 Landauer–BüttikerFramework 29
    6. 2.6 ChargeTransfer inDNA 32
      1. 2.6.1 Basics ofChargeTransfer 32
      2. 2.6.2 Non-adiabaticPropagationSchemes 34
  5. 3 SimulationSetup 39
    1. 3.1 TheDNAMolecule 39
      1. 3.1.1 InvestigatedDNASequences 42
    2. 3.2 MDSimulationofDNA 44
    3. 3.3 DNAunderMechanical Stress 45
    4. 3.4 MicrohydratedDNA 46
  6. 4 DNAUnderExperimentalConditions 49
    1. 4.1 FreeMDSimulations 50
    2. 4.2 TheStructuralChangesofDNAuponStretching 51
    3. 4.3 IrreversibilityofDNAStretching inSimulations 56
    4. 4.4 Effects ofLowHydration 58
    5. 4.5 Effects ofDecreased IonContent 62
    6. 4.6 Effect ofWater and Ionson theStretchingProfileofDNA 64
    7. 4.7 Conclusion 67
  7. 5 ChargeTransport inStretchedDNA 69
    1. 5.1 InvestigatedSequences andStructures 69
    2. 5.2 ChargeTransportCalculations 71
    3. 5.3 SequenceDependentChargeTransport 73
    4. 5.4 DetailedStructuralDifferences 74
    5. 5.5 Conclusion 76
  8. 6 ChargeTransport inMicrohydratedDNA 79
    1. 6.1 InvestigatedSequences andStructures 79
    2. 6.2 ChargeTransferParameters 80
    3. 6.3 ChargeTransportCalculations 84
    4. 6.4 DirectDynamicsofChargeTransfer 86
    5. 6.5 Conclusion 87
  9. 7 AParametrizedModel toSimulateCT inDNA 89
    1. 7.1 Creating theElectronicCouplings 90
    2. 7.2 Modeling the IonizationPotentials 93
    3. 7.3 TestingwithChargeTransportCalculations 97
    4. 7.4 ChargeTransferExtensions 98
    5. 7.5 TestingwithChargeTransferMethods 102
    6. 7.6 Conclusion 103
  10. 8 Conclusion 105
  11. Appendix 111
  12. A DNAUnderExperimentalConditions 111
    1. A.1 TheStructuralChangesofDNAuponStretching 111
    2. A.2 Effect ofLowHydrationandDecreased IonContent 112
    3. A.3 StretchingofMicrohydratedDNA 116
  13. B CTinMicrohydratedDNA 117
    1. B.1 HelicalParameters -CompleteOverview 117
    2. B.2 ElectronicCouplings 118
    3. B.3 IonizationPotentials 119
    4. B.4 ESP InducedbyDifferentGroupsofAtoms 122
    5. B.5 DistanceofChargedAtomGroups fromtheHelicalAxis 123
  14. List ofPublications 137
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Charge Transport in DNA