Preface |
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xv | |
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1 Intersystem Crossing Reaction for Fluorescent 10-Methyl-9(10H)-Acridone via Dioxetanone Intermediates: On-the-Fly Nonadiabatic ONIOM Molecular Dynamics with Particle Mesh Ewald Method and Thermodynamics Simulations |
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1 | (38) |
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2 | (3) |
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5 | (9) |
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1.2.1 Electrostatic Potential from Quantum Mechanics |
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6 | (1) |
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6 | (1) |
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6 | (2) |
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1.2.4 ONIOM Potential Energies with Particle Mesh Ewald Method under a Periodic Boundary Condition |
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8 | (2) |
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1.2.5 Spin-Orbit Coupling Calculation |
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10 | (1) |
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1.2.6 Transition Probability for Intersystem Crossing |
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11 | (2) |
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1.2.7 A Global Switching Algorithm |
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13 | (1) |
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1.2.8 On-the-Fly PME-ONIOM Molecular Dynamics |
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13 | (1) |
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1.3 Results and Discussion |
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14 | (13) |
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1.3.1 Temperature Replica Exchange Molecular Dynamics Simulations |
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15 | (2) |
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1.3.2 Electronic Structure Calculation with Electrostatic Embedding |
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17 | (5) |
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1.3.3 On-the-Fly PME-ONIOM Molecular Dynamics |
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22 | (5) |
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27 | (12) |
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2 On-the-Fly Excited-State Molecular Dynamics Study Based on Spin-Flip Time-Dependent Density Functional Theory Approach: Photo-Branching Reaction of Stilbene and Stilbene Derivatives |
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39 | (36) |
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40 | (2) |
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2.2 Spin-Flip Time-Dependent Density Functional Theory Approach for Excited-State Dynamics Simulation |
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42 | (6) |
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2.3 Applications to Photoreaction of ris-SB, cis-DMSB, and cis-MSB in π π Excitation |
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48 | (15) |
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2.3.1 Photoreaction of Stilbene |
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48 | (3) |
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2.3.2 Geometries and Reaction Pathways on the π π Excited State of SB, dmSB, and mSB |
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51 | (4) |
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2.3.3 Excited-State MD Simulations on Photo-Branching Reactions for SB, dmSB, and mSB |
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55 | (8) |
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63 | (12) |
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3 Nonadiabatic Dynamics Simulations on the Excited States of Carbon-Related Materials with Time-Dependent Density Functional Theory |
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75 | (26) |
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76 | (5) |
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3.1.1 Graphene-Based Luminescent Nanomaterials |
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76 | (2) |
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3.1.2 Graphitic Carbon Nitride Photocatalyst |
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78 | (2) |
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3.1.3 Applications of Excited-State Dynamics Simulations |
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80 | (1) |
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3.2 Ground-State Structures and Absorption |
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81 | (3) |
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3.3 Nonadiabatic Excited-State Simulations |
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84 | (7) |
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3.4 Confirmation by Higher-Level Theoretical Method--Complete Active Space Self-Consistent Field |
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91 | (2) |
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93 | (8) |
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4 Mixed-Reference Spin-Flip Time-Dependent Density Functional Theory as a Method of Choice for Nonadiabatic Molecular Dynamics |
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101 | (40) |
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102 | (3) |
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4.2 Mixed-Reference Spin-Flip Time-Dependent Density Functional Theory |
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105 | (4) |
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4.2.1 Eliminating Spin-Contamination of SF-TDDFT |
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105 | (4) |
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4.2.2 Combining Response States from Individual References |
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109 | (1) |
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4.3 Performance Analysis of MRSF-TDDFT |
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109 | (15) |
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4.3.1 Doubly Excited Configurations |
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109 | (2) |
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4.3.2 Nonadiabatic Coupling Matrix Elements |
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111 | (2) |
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4.3.3 Conical Intersections between S1 and S0 States (CI1/0) |
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113 | (6) |
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4.3.4 Diradicals and Singet/Triplet Gap |
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119 | (2) |
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4.3.5 Jahn-Teller Distortion |
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121 | (3) |
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4.4 Nonadiabatic Molecular Dynamics |
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124 | (5) |
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129 | (12) |
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5 Conformationally Controlled Photochemistry Studied by Trajectory Surface Hopping |
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141 | (58) |
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141 | (3) |
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144 | (14) |
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5.2.1 Generating Boltzmann Ensembles |
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144 | (3) |
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5.2.2 Calculation of Absorption Spectra |
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147 | (5) |
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5.2.3 Linear Response Time-Dependent Density Functional Surface Hopping |
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152 | (4) |
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5.2.4 Prediction of Product Quantum Yields |
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156 | (2) |
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158 | (22) |
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5.3.1 Photochemistry of Z-Hexatriene Derivatives |
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158 | (7) |
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5.3.2 Vitamin D Photochemistry |
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165 | (10) |
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5.3.3 Wavelength-Dependent Product Quantum Yields in Z-Hexatriene Derivatives |
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175 | (5) |
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5.4 Conclusion and Outlook |
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180 | (19) |
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6 Generalized Trajectory-Based Surface-Hopping Nonadiabatic Dynamics with Time-Dependent Density Functional Theory: Methodologies and Applications |
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199 | (52) |
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6.1 Theoretical Foundation of Nonadiabatic Effects |
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200 | (3) |
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6.1.1 Breaking Down of Born-Oppenheimer Approximation |
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200 | (2) |
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6.1.2 Nonadiabatic Molecular Dynamics |
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202 | (1) |
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6.2 Generalized Trajectory Surface Hopping Method |
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203 | (8) |
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6.2.1 Tully's Fewest Switches Surface Hopping |
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203 | (2) |
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6.2.2 Generalized Trajectory Surface Hopping Method |
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205 | (3) |
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6.2.3 Generalized Trajectory Surface Hopping Method at QM/MM Level |
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208 | (1) |
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6.2.4 Algorithm and Implementation of the Generalized Trajectory Surface Hopping Method |
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209 | (2) |
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6.3 Generalized Trajectory Surface Hopping Method with Frequency-Domain Time-Dependent Density Functional Theory Method |
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211 | (15) |
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6.3.1 Linear Response Time-Dependent Density Functional Theory |
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211 | (1) |
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6.3.2 Generalized Trajectory Surface Hopping Method at Linear Response Time-Dependent Density Functional Theory Level |
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212 | (5) |
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217 | (9) |
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6.4 Generalized Trajectory-Based Surface-Hopping Method with Time-Domain Time-Dependent Density Functional Theory Method |
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226 | (11) |
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6.4.1 Time-Domain Time-Dependent Density Functional Theory |
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227 | (1) |
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6.4.2 Generalized Trajectory-Based Surface-Hopping at Time-Domain Time-Dependent Density Functional Theory Level |
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228 | (2) |
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6.4.3 Applications with Collinear and Noncollinear DFT Methods |
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230 | (7) |
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6.5 Conclusion and Perspective |
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237 | (14) |
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7 Multistate Nonadiabatic Molecular Dynamics: The Role of Conical Intersection between the Excited States |
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251 | (24) |
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251 | (2) |
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253 | (2) |
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7.3 Results and Discussion |
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255 | (12) |
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7.3.1 Wavelength-Dependent Photoisomerization Quantum Yield |
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255 | (4) |
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7.3.2 Vibronic Interaction between the Close-Lying π π and nπ States |
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259 | (4) |
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7.3.3 Minimal Energy Conical Intersection between Locally Excited and Charge Transfer States |
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263 | (4) |
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267 | (8) |
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8 Excited Carrier Dynamics in Condensed Matter Systems Investigated by ab initio Nonadiabatic Molecular Dynamics |
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275 | (46) |
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275 | (3) |
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8.2 Time-Dependent Kohn-Sham Equation Combined with Surface Hopping |
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278 | (2) |
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8.3 Interfacial Charge Transfer Dynamics |
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280 | (10) |
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8.3.1 Charge Transfer at Molecule/Semiconductor |
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280 | (1) |
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8.3.1.1 Ultrafast photoexcited hole transfer at CH3OH/Ti02 interface |
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281 | (2) |
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8.3.1.2 CO2 photoreduction on Ti02 driven by transient capture of photoexcited electron |
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283 | (2) |
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8.3.2 Charge Transfer at van der Waals Heterostructure |
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285 | (1) |
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8.3.2.1 Phonon-assisted ultrafast charge transfer at M0S2/WS2 |
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285 | (2) |
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8.3.2.2 Phonon-coupled charge oscillation at MoSe2/WSe2 |
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287 | (1) |
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8.3.2.3 Control the charge transfer dynamics at M0S2/WS2 by external stress |
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288 | (2) |
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8.3.2.4 Comparing with other works |
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290 | (1) |
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8.4 Electron-Hole Recombination in Semiconductors |
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290 | (6) |
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8.4.1 Electron-Hole Recombination in Ti02 |
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292 | (1) |
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8.4.2 Electron-Hole Recombination in Halide Perovskite |
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293 | (2) |
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8.4.3 Electron-Hole Recombination in 2D Materials |
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295 | (1) |
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296 | (11) |
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8.5.1 GW+Real-Time BSE NAMD Method |
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297 | (3) |
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8.5.2 Spin Valley Exciton Dynamics in MoS2 |
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300 | (7) |
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8.6 Summary and Perspectives |
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307 | (14) |
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9 Time-Dependent Density Matrix Renormalization Group for Quantum Chemistry |
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321 | (40) |
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322 | (3) |
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9.2 Matrix Product State, Density Matrix Renormalization Group |
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325 | (7) |
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9.2.1 Matrix Product State and Matrix Product Operator |
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325 | (4) |
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9.2.2 Density Matrix Renormalization Group |
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329 | (3) |
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9.3 Time-Dependent Density Matrix Renormalization Group |
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332 | (7) |
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9.3.1 The Runge-Kutta Approaches |
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333 | (1) |
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9.3.2 The Krylov Subspace Approach |
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334 | (1) |
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9.3.3 The Time-Evolving Block Decimation Methods |
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334 | (1) |
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9.3.4 The Time-Dependent Variational Principle Method |
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335 | (4) |
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339 | (14) |
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9.4.1 A General Exciton-Vibration Model for Chemistry Systems |
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339 | (2) |
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9.4.2 Charge Carrier Dynamics in Polymer Chain |
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341 | (2) |
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9.4.3 Exciton Dissociation at Donor/Acceptor Interface |
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343 | (2) |
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9.4.4 Excited State Charge Transfer |
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345 | (1) |
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9.4.5 Photo-Dynamics and Absorption Spectrum for Pyrazine |
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346 | (5) |
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351 | (2) |
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353 | (8) |
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10 Spin-Flip TDDFT for Photochemistry |
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361 | (44) |
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10.1 Computational Photochemistry |
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361 | (7) |
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10.1.1 Conical Intersections |
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361 | (3) |
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10.1.2 Time-Dependent DFT |
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364 | (4) |
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10.2 Spin-Flip TDDFT Approach |
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368 | (15) |
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368 | (1) |
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10.2.1.1 Conceptual overview |
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368 | (3) |
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371 | (2) |
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10.2.1.3 Nonadiabatic (derivative) couplings |
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373 | (4) |
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10.2.2 Photochemical Applications |
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377 | (1) |
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10.2.2.1 Exploring excited-state potential surfaces |
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378 | (1) |
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10.2.2.2 Trajectory surface hopping |
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379 | (3) |
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10.2.2.3 Spin contamination and state tracking |
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382 | (1) |
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10.3 Augmented Spin-Flip Methods |
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383 | (7) |
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10.3.1 Spin-Adapted Spin-Flip Approach |
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384 | (1) |
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384 | (1) |
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385 | (2) |
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10.3.2 Mixed-Reference Spin-Flip Approach |
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387 | (1) |
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388 | (1) |
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389 | (1) |
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390 | (15) |
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11 Phase Space Mapping Theory for Nonadiabatic Quantum Molecular Dynamics |
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405 | (26) |
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406 | (3) |
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11.1.1 Nonadiabatic Dynamics in the Wavefunction Picture |
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406 | (2) |
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11.1.2 Nonadiabatic Dynamics with the Density Operator |
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408 | (1) |
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11.2 Unified Phase Space Formulation for both Nuclear and Electronic Freedoms |
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409 | (3) |
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11.2.1 Meyer-Miller Mapping Hamiltonian Model |
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409 | (1) |
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11.2.2 Unified Formulation of Mapping Phase Space |
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409 | (3) |
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11.3 Trajectory-Based Approaches |
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412 | (7) |
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11.3.1 Extended Classical Mapping Model |
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412 | (3) |
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11.3.2 Equations of Motion in the Adiabatic Representation |
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415 | (2) |
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11.3.3 Ehrenfest Dynamics and Surface Hopping |
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417 | (2) |
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419 | (7) |
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11.4.1 Spin-Boson Model in Condensed Phase |
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419 | (2) |
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11.4.2 Tully's Gas Phase Scattering Models |
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421 | (2) |
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11.4.3 Atom-in-Cavity Models |
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423 | (3) |
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426 | (5) |
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12 Global Switch Trajectory Surface Hopping Dynamics in the Framework of Time-Dependent Density Functional Theory |
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431 | (62) |
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431 | (4) |
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12.2 Global Switch Trajectory Surface Hopping Dynamics |
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435 | (8) |
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12.2.1 Time-Dependent Scheme and Local Switch Probability |
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435 | (1) |
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12.2.2 Time-Independent Scheme and Global Switch Probability |
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436 | (5) |
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12.2.3 Velocity Adjustment |
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441 | (1) |
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12.2.4 Implementation of Global Switch Algorithm |
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442 | (1) |
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12.3 The Performance of Global Switch Versus Local Switch |
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443 | (8) |
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12.3.1 Photoisomerization of Azobenzene on S1-(n, π*) Excitation |
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444 | (1) |
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12.3.2 Hopping Spots, Switching Probabilities and Velocity Adjustment |
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445 | (6) |
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12.4 The Performance of Time-Dependent Density Functional Theory in Global Switch Algorithm |
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451 | (11) |
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12.4.1 Topology of S0 and Si PESs Around Conical Intersections |
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453 | (2) |
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12.4.2 GS-TSH-MD Simulations by Time-Dependent Density Functional Theory with and without Spin-Flip |
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455 | (7) |
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12.5 Time-Dependent Density Functional Theory Functional and Basis Set Dependence in GS-TSH-MD Simulation |
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462 | (10) |
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12.5.1 Functional and Basis Set Dependence on Artificial Double Cone |
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464 | (2) |
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12.5.2 Functional and Basis Set Dependence on Dynamic Quantities |
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466 | (6) |
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12.6 GS-TSH-MD Simulation for Chemiluminescence |
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472 | (6) |
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12.6.1 Electron Transfer Catalyzed Chemiluminescence of Luminol |
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473 | (2) |
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12.6.2 Uncatalyzed Chemiluminescence of Methylated 1,2-dioxetane |
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475 | (3) |
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12.7 GS-TSH-MD Simulation for Photoisomerization of dMe-OMe-NAIP |
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478 | (15) |
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12.7.1 Time-Dependent Density Functional Theory Calculations for Searching Conical Intersections |
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479 | (2) |
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12.7.2 Both E-to-Z and Z-to-E Photoisomerization in GS-TSH-MD Simulation |
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481 | (12) |
Index |
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