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xi | |
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1 | (24) |
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1 Introduction to Atomic Scale Electrochemistry |
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3 | (22) |
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3 | (1) |
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1.2 The thermodynamics of electrified interface |
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4 | (8) |
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6 | (1) |
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1.2.2 Electrical double layer |
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7 | (1) |
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8 | (1) |
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1.2.4 Electrode potential |
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8 | (4) |
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1.3 Chemical interactions between the electrode and redox species |
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12 | (1) |
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1.4 Reaction kinetics at electrochemical interfaces |
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13 | (5) |
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1.4.1 Outer and inner sphere reactions |
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13 | (3) |
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1.4.2 Computational aspects |
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16 | (1) |
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17 | (1) |
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18 | (1) |
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1.6 Mass transport to the electrode |
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18 | (2) |
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1.7 Summary J9 References |
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20 | (5) |
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25 | (68) |
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2 Retrospective and Prospective Views of Electrochemical Electron Transfer Processes: Theory and Computations |
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27 | (66) |
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2.1 Introduction - interfacial molecular electrochemistry in recent retrospective |
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27 | (1) |
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2.1.1 An electrochemical renaissance |
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27 | (1) |
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2.1.2 A bioelectrochemical renaissance |
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27 | (1) |
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2.2 Analytical theory of molecular electrochemical ET processes |
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28 | (17) |
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2.2.1 A Reference to molecular ET processes in homogeneous solution |
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28 | (2) |
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2.2.2 Brief discussion of contemporary computational approaches |
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30 | (1) |
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2.2.3 Molecular electrochemical ET processes and general chemical rate theory |
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31 | (4) |
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2.2.4 Some electrochemical ET systems at metal electrodes |
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35 | (1) |
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2.2.4.1 Some outer sphere electrochemical ET processes |
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35 | (3) |
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2.2.4.2 Dissociative ET: the electrochemical peroxodisulfate reduction |
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38 | (1) |
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2.2.5 d-band, cation, and spin catalysis |
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39 | (1) |
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2.2.6 New solvent environments in simple electrochemical ET processes - ionic liquids |
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40 | (1) |
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2.2.7 Proton transfer, proton conductivity, and proton coupled electron transfer (PCET) |
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40 | (4) |
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2.2.7.1 Some further notes on the nature of PT/PCET processes |
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44 | (1) |
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2.2.7.2 The electrochemical hydrogen evolution reaction, and the Tafel plot on mercury |
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44 | (1) |
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2.3 Ballistic and stochastic (Kramers-Zusman) chemical rate theory |
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45 | (5) |
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2.4 Early and recent views on chemical and electrochemical long-range ET |
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50 | (3) |
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2.5 Molecular-scale electrochemical science |
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53 | (14) |
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2.5.1 Electrochemical in situ STM and AFM |
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53 | (1) |
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2.5.2 Nanoscale mapping of novel electrochemical surfaces |
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54 | (1) |
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2.5.2.1 Self-assembled molecular monolayers (SAMs) of functionalized thiol [ 192-194] |
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54 | (2) |
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2.5.3 Electrochemical single-molecule ET and conductivity of complex molecules |
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56 | (2) |
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2.5.4 Selected cases of in situ STM and STS of organic and inorganic redox molecules |
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58 | (1) |
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58 | (1) |
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2.5.4.2 Transition metal complexes as single-molecule in operando STM targets |
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59 | (2) |
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2.5.5 Other single-entity nanoscale electrochemistry |
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61 | (1) |
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2.5.5.1 Electrochemistry in low-dimensional carbon confinement |
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61 | (1) |
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2.5.5.2 Electrochemistry of nano- and molecular-scale metallic nanoparticles |
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62 | (1) |
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2.5.6 Elements of nanoscale and single-molecule bioelectrochemistry |
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63 | (1) |
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2.5.6.1 A single-molecule electrochemical metalloprotein target - P. aeruginosa azurin |
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63 | (2) |
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2.5.6.2 Electrochemical SPMs of metalloenzymes, and some other "puzzles" |
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65 | (2) |
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2.6 Computational approaches to electrochemical surfaces and processes revisited |
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67 | (2) |
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2.6.1 Theoretical methodologies and microscopic structure of electrochemical interfaces |
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67 | (1) |
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2.6.2 The electrochemical process revisited |
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68 | (1) |
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2.7 Quantum and computational electrochemistry in retrospect and prospect |
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69 | (4) |
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2.7.1 Prospective conceptual challenges in quantum and computational electrochemistry |
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70 | (1) |
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2.7.2 Prospective interfacial electrochemical target phenomena |
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71 | (1) |
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2.7.2.1 Some conceptual, theoretical, and experimental notions and challenges |
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71 | (1) |
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2.7.2.2 Non-traditional electrode surfaces and single-entity structure and function |
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71 | (1) |
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2.7.2.3 Semiconductor and semimetal electrodes |
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72 | (1) |
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2.7.2.4 Metal deposition and dissolution processes |
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72 | (1) |
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2.7.2.5 Chiral surfaces and ET processes of chiral molecules |
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72 | (1) |
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2.7.2.6 ET reactions involving hot electrons (femto-electrochemistry) |
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73 | (1) |
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2.8 A few concluding remarks |
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73 | (20) |
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74 | (1) |
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74 | (19) |
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93 | (148) |
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3 Continuum Embedding Models for Electrolyte Solutions in First-Principles Simulations of Electrochemistry |
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95 | (44) |
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3.1 Introduction to continuum models for electrochemistry |
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95 | (2) |
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3.2 Continuum models of liquid solutions |
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97 | (12) |
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3.2.1 Continuum interfaces |
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98 | (5) |
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3.2.2 Beyond local interfaces |
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103 | (2) |
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3.2.3 Electrostatic interaction: polarizable dielectric embedding |
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105 | (2) |
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3.2.4 Beyond electrostatic interactions |
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107 | (2) |
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3.3 Continuum diffuse-layer models |
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109 | (9) |
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3.3.1 Continuum models of electrolytes |
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109 | (1) |
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3.3.2 Helmholtz double-layer model |
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110 | (1) |
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3.3.3 Poisson-Boltzmann model |
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111 | (2) |
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3.3.4 Size-modified Poisson-Boltzmann model |
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113 | (1) |
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3.3.5 Stern layer and additional interactions |
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114 | (1) |
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3.3.6 Performance of the diffuse-layer models |
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114 | (4) |
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3.4 Grand canonical simulations of electrochemical systems |
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118 | (1) |
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3.4.1 Thermodynamics of interfaces |
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119 | (2) |
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3.4.2 Ab-initio based thermodynamics of electrochemical interfaces |
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121 | (2) |
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3.4.3 Grand canonical simulations and the CHE approximation |
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123 | (3) |
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3.5 Selected applications |
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126 | (13) |
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129 | (1) |
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129 | (10) |
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4 Joint and grand-canonical density-functional theory |
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139 | (1) |
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139 | (3) |
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4.2 JDFT variational theorem and framework |
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142 | (6) |
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4.2.1 Variational principle and underlying theorem |
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142 | (4) |
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4.2.2 Separation of effects and regrouping of terms |
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146 | (1) |
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4.2.3 Practical functionals and universal form for coupling |
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147 | (1) |
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4.3 Classical DFT with atomic-scale structure |
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148 | (1) |
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4.3.1 Ideal gas functionals with molecular geometry |
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149 | (1) |
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4.3.1.1 Effective ideal gas potentials |
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149 | (1) |
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4.3.1.2 Integration over molecular orientations |
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150 | (1) |
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151 | (1) |
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4.3.2 Minimal excess functionals for molecular fluids |
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152 | (5) |
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4.4 Continuum solvation models from JDFT |
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157 | (1) |
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4.4.1 JDFT linear response: nonlocal `SaLSA' solvation |
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158 | (2) |
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4.4.2 JDFT local limit: nonlinear continuum solvation |
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160 | (3) |
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4.4.3 Hybrid semi-empirical approaches: `CANDLE' solvation |
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163 | (1) |
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164 | (4) |
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168 | (1) |
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169 | (4) |
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5 Ab initio modeling of electrochemical interfaces and determination of electrode potentials |
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173 | (1) |
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173 | (2) |
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5.2 Theoretical background of electrochemistry |
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175 | (4) |
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5.2.1 Definition of electrode potential |
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175 | (3) |
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5.2.2 Absolute potential energy of SHE |
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178 | (1) |
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5.3 Short survey of computational methods for modelling electrochemical interfaces |
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179 | (1) |
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5.4 Ab initio determination of electrode potentials of electrochemical interfaces |
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180 | (7) |
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5.4.1 Work function based methods |
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180 | (1) |
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180 | (1) |
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5.4.1.2 Vacuum reference in two steps |
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181 | (2) |
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5.4.2 Reference electrode based methods |
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183 | (1) |
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5.4.2.1 Computational standard hydrogen electrode |
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183 | (2) |
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5.4.2.2 Computational standard hydrogen electrode in two steps |
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185 | (2) |
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5.4.2.3 Computational Ag/AgCl reference electrode |
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187 | (1) |
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5.5 Computation of potentials of zero charge |
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187 | (3) |
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190 | (11) |
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191 | (1) |
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191 | (10) |
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6 Molecular Dynamics of the Electrochemical Interface and the Double Layer |
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201 | (20) |
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201 | (1) |
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6.2 Continuum description of the electric double layer |
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202 | (2) |
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6.3 Equilibrium coverage of metal electrodes |
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204 | (5) |
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6.4 First-principles simulations of electrochemical interfaces and electric double layers |
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209 | (4) |
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6.5 Electric double layers at battery electrodes |
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213 | (3) |
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216 | (5) |
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216 | (1) |
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217 | (4) |
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7 Atomic-Scale Modelling of Electrochemical Interfaces through Constant Fermi Level Molecular Dynamics |
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221 | (20) |
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221 | (1) |
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222 | (1) |
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7.3 CFL-MD in aqueous solution: Determination of redox levels |
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223 | (5) |
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7.4 CFL-MD at metal-water interface: The case of the Volmer reaction |
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228 | (2) |
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7.5 Referencing the bias potential to the SHE |
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230 | (2) |
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7.6 Macroscopic properties at the metal-water interface |
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232 | (4) |
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7.7 Atomic-scale processes at the metal-water interface |
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236 | (2) |
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238 | (3) |
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238 | (1) |
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239 | (2) |
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241 | (60) |
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8 From electrons to electrode kinetics: A tutorial review |
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243 | (44) |
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8.1 Global electro-neutrality |
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243 | (1) |
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8.2 The electrochemical reference state |
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243 | (3) |
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8.3 The chemical potential |
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246 | (1) |
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8.4 The electrostatic potential |
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246 | (1) |
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8.5 The electrochemical potential |
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246 | (17) |
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8.5.1 The molar electrochemical potential |
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248 | (1) |
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8.5.2 The electrochemical potential of a single electron |
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248 | (1) |
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8.5.3 The Nernst equation |
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248 | (2) |
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8.5.4 Fermi-Dirac distribution function |
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250 | (1) |
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8.5.5 The molar electrochemical potential of an electron |
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251 | (1) |
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8.5.6 Parsing the electrochemical potential. (I) Metal in a vacuum |
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251 | (1) |
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8.5.7 The Volta potential difference |
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252 | (1) |
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8.5.8 Scanning Kelvin Probe Microscopy |
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253 | (1) |
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8.5.9 The membrane potential |
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254 | (1) |
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8.5.10 The electrochemical potential of a single proton |
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254 | (1) |
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8.5.11 The proton motive force |
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255 | (1) |
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8.5.12 The standard hydrogen half-cell |
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256 | (1) |
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8.5.13 The hydrated electron |
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257 | (1) |
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8.5.14 The hydrogen atom H* |
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258 | (1) |
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8.5.15 Parsing the electrochemical potential. (II) The co-sphere |
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258 | (1) |
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8.5.16 Electron transfer (general introduction) |
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259 | (1) |
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8.5.17 Johnson-Nyquist noise |
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260 | (1) |
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8.5.18 The Molar Gibbs reorganization energy |
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260 | (1) |
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8.5.19 The reaction co-ordinate |
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261 | (1) |
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8.5.20 The vertical energy gap |
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261 | (2) |
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8.5.21 Permittivity of solutions |
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263 | (1) |
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8.6 Electrolytes and non-electrolytes |
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263 | (12) |
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8.6.1 Equivalent circuit of a non-electrolyte solution |
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265 | (1) |
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8.6.2 Equivalent circuit of an electrolyte solution |
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265 | (1) |
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8.6.3 Probability of an electron jump |
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266 | (1) |
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8.6.4 The Klopman-Salem equation |
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267 | (1) |
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268 | (1) |
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8.6.6 Homogeneous kinetics, first order |
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269 | (1) |
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8.6.7 Homogeneous kinetics, second order |
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269 | (1) |
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8.6.8 Homogeneous versus heterogeneous kinetics |
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270 | (1) |
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8.6.9 Tunneling layer approximation |
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271 | (1) |
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8.6.10 The back of the envelope |
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272 | (1) |
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8.6.11 The total rate constant of an electron transfer process |
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273 | (2) |
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8.7 Heterogeneous electron transfer |
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275 | (5) |
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8.7.1 Tafel slopes for multi-step reactions |
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278 | (2) |
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8.8 The future: supercatalysis by superexchange |
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280 | (7) |
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282 | (5) |
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9 Constant potential rate theory - general formulation and electrocatalysis |
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287 | (14) |
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9.1 Kinetics at electrochemical interfaces |
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287 | (1) |
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9.2 Rate theory in the grand canonical ensemble |
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288 | (1) |
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289 | (3) |
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289 | (1) |
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9.3.2 Fixed potential empirical valence bond theory |
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290 | (1) |
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291 | (1) |
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9.4 Non-adiabatic reactions |
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292 | (3) |
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9.4.1 Non-adiabatic reactions in electrochemistry |
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292 | (1) |
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9.4.2 Rate of ET and CPET reactions |
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293 | (2) |
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9.5 Computational aspects |
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295 | (1) |
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296 | (5) |
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297 | (4) |
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301 | (54) |
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10 Thermodynamically consistent free energy diagrams with the solvated jellium method |
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303 | (26) |
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10.1 Computational studies of electrochemical systems - Recent advances and modern challenges |
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303 | (2) |
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10.2 Thermodynamic consistency with a decoupled computational electrode model |
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305 | (3) |
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10.3 Solvated jellium method (SJM) |
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308 | (11) |
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308 | (1) |
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10.3.2 Electrostatic potential profiles and charge localization |
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309 | (4) |
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10.3.3 Workflow of potential equilibration |
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313 | (6) |
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10.3.4 Shape of the jellium background charge |
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319 | (1) |
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10.4 Example: Mechanistic studies of the hydrogen evolution reaction (HER) |
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319 | (10) |
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10.4.1 Potential dependence of the elementary steps of HER |
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320 | (2) |
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10.4.2 Charge transfer along reaction trajectories |
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322 | (2) |
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10.4.3 Thermodynamically consistent free energy diagrams from first principles |
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324 | (1) |
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325 | (4) |
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11 Generation of Computational Data Sets for Machine Learning Applied to Battery Materials |
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329 | (26) |
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Alexander Sougaard Tygesen |
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329 | (1) |
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11.2 Computational workflows for production of moderate-fidelity data sets |
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330 | (10) |
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11.2.1 Ionic diffusion: NEB calculations |
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333 | (1) |
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333 | (2) |
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11.2.1.2 Choice of functionals for NEB |
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335 | (2) |
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11.2.2 Disordered materials: Cluster Expansion |
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337 | (3) |
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11.3 High-Fidelity data sets: Ab initio molecular dynamics simulations |
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340 | (3) |
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343 | (12) |
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346 | (1) |
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346 | (9) |
Index |
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355 | |