An extension of the nonadiabatic quantum molecular dynamics approach is presented to account for electron-nuclear correlations in the dynamics of atomic many-body systems. The method combines electron dynamics described within time-dependent density-functional or Hartree-Fock theory with trajectory-surface-hopping dynamics for the nuclei, allowing us to take into account explicitly a possible external laser field. As a case study, a model system of H++H collisions is considered where full quantum-mechanical calculations are available for comparison. For this benchmark system the extended surface-hopping scheme exactly reproduces the full quantum results. Future applications are briefly outlined.

An extension of the nonadiabatic quantum molecular dynamics approach is presented to account for electron-nuclear correlations in the dynamics of atomic many-body systems. The method combines electron dynamics described within time-dependent density-functional or Hartree-Fock theory with trajectory-surface-hopping dynamics for the nuclei, allowing us to take into account explicitly a possible external laser field. As a case study, a model system of H++H collisions is considered where full quantum-mechanical calculations are available for comparison. For this benchmark system the extended surface-hopping scheme exactly reproduces the full quantum results. Future applications are briefly outlined.

An extension of the nonadiabatic quantum molecular dynamics approach is presented to account for electron-nuclear correlations in the dynamics of atomic many-body systems. The method combines electron dynamics described within time-dependent density-functional or Hartree-Fock theory with trajectory-surface-hopping dynamics for the nuclei, allowing us to take into account explicitly a possible external laser field. As a case study, a model system of H++H collisions is considered where full quantum-mechanical calculations are available for comparison. For this benchmark system the extended surface-hopping scheme exactly reproduces the full quantum results. Future applications are briefly outlined.

Glycosaminoglycans (GAGs) play an important role in many biological processes in the extracellular matrix. In a theoretical approach, structures of monosaccharide building blocks of natural GAGs and their sulfated derivatives were optimized by a B3LYP6311ppdd//B3LYP/ 6-31+G(d) method. The dependence of the observed conformational properties on the applied methodology is described. NMR chemical shifts and proton-proton spin-spin coupling constants were calculated using the GIAO approach and analyzed in terms of the method's accuracy and sensitivity towards the influence of sulfation, O1-methylation, conformations of sugar ring, and ω dihedral angle. The net sulfation of the monosaccharides was found to be correlated with the 1H chemical shifts in the methyl group of the N-acetylated saccharides both theoretically and experimentally. The ω dihedral angle conformation populations of free monosaccharides and monosaccharide blocks within polymeric GAG molecules were calculated by a molecular dynamics approach using the GLYCAM06 force field and compared with the available NMR and quantum mechanical data. Qualitative trends for the impact of sulfation and ring conformation on the chemical shifts and proton-proton spin-spin coupling constants were obtained and discussed in terms of the potential and limitations of the computational methodology used to be complementary to NMR experiments and to assist in experimental data assignment.

Photoinduced excitation and relaxation of organic molecules (C2H4 and CH2NH+2) are investigated by means of nonadiabatic quantum molecular dynamics with hopping (NA-QMD-H), developed recently [Fischer, Handt, and Schmidt, paper I of this series, Phys. Rev. A 90, 012525 (2014)]. This method is first applied to molecules assumed to be initially ad hoc excited to an electronic surface. Special attention is drawn to elaborate the role of electron-nuclear correlations, i.e., of quantum effects in the nuclear dynamics. It is found that they are essential for a realistic description of the long-time behavior of the electronic relaxation process, but only of minor importance to portray the short-time scenario of the nuclear dynamics. Migration of a hydrogen atom, however, is identified as a quantum effect in the nuclear motion. Results obtained with explicit inclusion of an fs-laser field are presented as well. It is shown that the laser-induced excitation process generally leads to qualitatively different gross features of the relaxation dynamics, as compared to the field-free case. Nevertheless, the nuclear wave packet contains all subtleties of the cis-trans isomerization mechanism as observed without a laser field.

An extension of the nonadiabatic quantum molecular dynamics approach is presented to account for electron-nuclear correlations in the dynamics of atomic many-body systems. The method combines electron dynamics described within time-dependent density-functional or Hartree-Fock theory with trajectory-surface-hopping dynamics for the nuclei, allowing us to take into account explicitly a possible external laser field. As a case study, a model system of H++H collisions is considered where full quantum-mechanical calculations are available for comparison. For this benchmark system the extended surface-hopping scheme exactly reproduces the full quantum results. Future applications are briefly outlined.

Photoinduced excitation and relaxation of organic molecules (C2H4 and CH2NH+2) are investigated by means of nonadiabatic quantum molecular dynamics with hopping (NA-QMD-H), developed recently [Fischer, Handt, and Schmidt, paper I of this series, Phys. Rev. A 90, 012525 (2014)]. This method is first applied to molecules assumed to be initially ad hoc excited to an electronic surface. Special attention is drawn to elaborate the role of electron-nuclear correlations, i.e., of quantum effects in the nuclear dynamics. It is found that they are essential for a realistic description of the long-time behavior of the electronic relaxation process, but only of minor importance to portray the short-time scenario of the nuclear dynamics. Migration of a hydrogen atom, however, is identified as a quantum effect in the nuclear motion. Results obtained with explicit inclusion of an fs-laser field are presented as well. It is shown that the laser-induced excitation process generally leads to qualitatively different gross features of the relaxation dynamics, as compared to the field-free case. Nevertheless, the nuclear wave packet contains all subtleties of the cis-trans isomerization mechanism as observed without a laser field.

Die Adsorption von Additiven an den Oberflächen eines Kristallisates wird als eine hauptsächliche Ursache für die Beeinflussung von Kristallwachstum und Morphologie angesehen und spielt bei vielen Kristallisationsprozessen eine entscheidende Rolle. Gerade für die Calciumsulfate, die im Millionen-Tonnen-Maßstab jährlich in Deutschland verarbeitet werden, stellt der Additiv-Einsatz einen Hauptkostenfaktor dar, während gleichzeitig die Additivwirkung mechanistisch nicht ausreichend gut verstanden und damit derzeit nicht vorhersagbar ist. Zur Erlangung eines besseren Verständnisses wurden mit Hilfe von molekulardynamischen Computersimulationen die Prozesse in den Grenzflächen zwischen festen Calciumsulfaten und wässriger Additivlösung auf atomarer Ebene analysiert. Wesentlicher Untersuchungsschwerpunkt war dabei die Rolle des polaren Lösungsmittels Wasser auf die Wechselwirkung zwischen verschiedenen ionischen Additivspezies und den Salzkristallen.

Glycosaminoglycans (GAGs) play an important role in many biological processes in the extracellular matrix. In a theoretical approach, structures of monosaccharide building blocks of natural GAGs and their sulfated derivatives were optimized by a B3LYP6311ppdd//B3LYP/ 6-31+G(d) method. The dependence of the observed conformational properties on the applied methodology is described. NMR chemical shifts and proton-proton spin-spin coupling constants were calculated using the GIAO approach and analyzed in terms of the method's accuracy and sensitivity towards the influence of sulfation, O1-methylation, conformations of sugar ring, and ω dihedral angle. The net sulfation of the monosaccharides was found to be correlated with the 1H chemical shifts in the methyl group of the N-acetylated saccharides both theoretically and experimentally. The ω dihedral angle conformation populations of free monosaccharides and monosaccharide blocks within polymeric GAG molecules were calculated by a molecular dynamics approach using the GLYCAM06 force field and compared with the available NMR and quantum mechanical data. Qualitative trends for the impact of sulfation and ring conformation on the chemical shifts and proton-proton spin-spin coupling constants were obtained and discussed in terms of the potential and limitations of the computational methodology used to be complementary to NMR experiments and to assist in experimental data assignment.

Die Adsorption von Additiven an den Oberflächen eines Kristallisates wird als eine hauptsächliche Ursache für die Beeinflussung von Kristallwachstum und Morphologie angesehen und spielt bei vielen Kristallisationsprozessen eine entscheidende Rolle. Gerade für die Calciumsulfate, die im Millionen-Tonnen-Maßstab jährlich in Deutschland verarbeitet werden, stellt der Additiv-Einsatz einen Hauptkostenfaktor dar, während gleichzeitig die Additivwirkung mechanistisch nicht ausreichend gut verstanden und damit derzeit nicht vorhersagbar ist. Zur Erlangung eines besseren Verständnisses wurden mit Hilfe von molekulardynamischen Computersimulationen die Prozesse in den Grenzflächen zwischen festen Calciumsulfaten und wässriger Additivlösung auf atomarer Ebene analysiert. Wesentlicher Untersuchungsschwerpunkt war dabei die Rolle des polaren Lösungsmittels Wasser auf die Wechselwirkung zwischen verschiedenen ionischen Additivspezies und den Salzkristallen.:1. Einleitung und Zielsetzung 1 2. Literatur 6 2.1. Kristallstrukturen der Calciumsulfate 7 2.2. Kristallmorphologie und relevante Kristallflächen 10 2.2.1. Kristallwachstum und Morphologie der Calciumsulfate 10 2.2.2. Theoretische Methoden zur Morphologievorhersage 13 2.2.3. Morphologievorhersage für die Calciumsulfate 18 2.3. Struktur von Mineral-Wasser-Grenzflächen 20 2.3.1. Experimentelle Untersuchungen 20 2.3.2. Simulationen 25 2.4. Morphologiebeeinflussung der Calciumsulfate durch Additive 26 2.4.1. Additive für Calciumsulfate und deren Wirkungsweise 26 2.4.2. Beeinflussung der Gipsmorphologie durch Zitronensäure und Aminosäuren 28 2.5. Stand der Technik von Adsorptionssimulationen 31 2.5.1. Methodenüberblick 31 2.5.2. Molekulardynamische Adsorptionssimulationen 33 2.5.3. Modellierungen und Simulationen der Calciumsulfat-Additiv- Wechselwirkung 44 3. Methodik 47 3.1. Simulationsbasis 49 3.1.1. Randbedingungen und Annahmen 49 3.1.2. Simulationsmethoden und -parameter 51 3.1.3. Kraftfeld 55 3.1.4. Erstellen von Simulationsboxen 60 3.2. Simulationen zur Morphologievorhersage 65 3.2.1. Durchgeführte Simulationen 66 iiiInhaltsverzeichnis 3.2.2. Berechnung der Morphologie im Vakuum 68 3.2.3. Berechnung der Morphologie in Lösung 69 3.2.4. Zusammenfassung 72 3.3. Simulationen der CaSO 4 -Wasser-Grenzfläche 74 3.3.1. Durchgeführte Simulationen 74 3.3.2. Charakterisierung der Oberflächenstabilität 75 3.3.3. Strukturelle Charakterisierung der Hydratationsschichten 77 3.3.4. Kinetische Charakterisierung der Hydratationsschichten 82 3.3.5. Thermodynamische Charakterisierung der Hydratations- schichten 83 3.3.6. Zusammenfassung 87 3.4. Simulation der Adsorption 89 3.4.1. Durchgeführte Simulationen 89 3.4.2. Berechnung der Adsorptionsenergie 103 3.4.3. Berechnung der Freien Adsorptionsenergie 106 3.4.4. Zusammenfassung 112 4. Ergebnisse und Diskussion 114 4.1. Morphologievorhersage und Flächenauswahl 115 4.1.1. Die Morphologie im Vakuum 115 4.1.2. Die Morphologie in Lösung 123 4.1.3. Flächenauswahl 126 4.2. Die Mineral-Wasser-Grenzfläche 127 4.2.1. Oberflächenstabilität 127 4.2.2. Strukturelle Charakterisierung der Hydratationsschichten 133 4.2.3. Kinetische Charakterisierung der Hydratationsschichten 153 4.2.4. Thermodynamische Charakterisierung der Hydratations- schichten 162 4.2.5. Einfluss der Simulationsmethodik 166 4.3. Die Adsorption 167 4.3.1. Einfluss des Lösungsmittels 167 4.3.2. Einfluss des Additivs 176 4.3.3. Einfluss der Fläche 186 4.3.4. Einfluss der Simulationsmethodik 201 5. Zusammenfassung und Ausblick 211 ivInhaltsverzeichnis Abkürzungsverzeichnis V-1 Literaturverzeichnis V-6 Abbildungsverzeichnis V-34 Tabellenverzeichnis V-38 A. Methoden A-1 A.1. Erstellen von Simulationsboxen mit Kristallschichten A-2 A.1.1. Randbedingungen A-2 A.1.2. Erstellen der Elementarzelle A-3 A.1.3. Erstellen der Oberflächenelementarzelle A-3 A.2. Voruntersuchungen zur Adsorption A-8 A.2.1. Ausgangssituation A-8 A.2.2. Finden energetisch günstiger Konformationen A-11 A.2.3. Berechnung der Freien Adsorptionsenergie A-13 A.2.4. Berechnung der Adsorptionsenergie A-23 A.3. Clusteranalyse A-24 B. Tabellen B-1 C. Abbildungen C-1