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Plane Waves – Plane wave basis sets depend only on the size of the periodic cell, and not on the actual system to describe within the cell. – This is in contrast to the linear increase of Gaussian basis sets with system size, i.e. plane waves become more favourable for large systems. – Plane wave are primarily used for periodic systems, but can also be used for molecules in supercells, where the cell is sufficiently large to prevent self-‐interac4on with image cells. – Placing a small molecule into a large supercell requires many plane waves, which is more efficiently handled by localized Gaussian func4ons. – A 3D-‐periodic system, however, me be beber described by plane waves. – Plane waves • describe delocalized slowly varying electron densi4es very well (e.g. metals) • core electrons, however are strongly localized • valence electrons have many rapid oscilla4ons in the core region to maintain orthogonality • describing the core region adequately requires a large number of plane waves. – Thus, plane waves are used in connec4on with pseudopoten4als
Choosing the Plane Wave Cutoff • Convergence behavior rela4ve error (no systema4c errors included) MT = Mar4ns-‐Trouiller BHS =
Page 1 and 2: From Molecular to Con/nuum Phys
Page 3 and 4: Car-Parinello / Molecular Mechanics
Page 5 and 6: Potential Energy Surfaces • Geome
Page 7 and 8: Molecular Dipole Moments • Molecu
Page 9 and 10: Quantum Mechanical Dipole Moments
Page 11 and 12: Molecular Dipole Moments Alignment
Page 13 and 14: Dipole Moment Of Acetone • Proced
Page 15 and 16: Internal Coordinates Bond lengths
Page 17 and 18: CPMD Input • General - Sec4ons:
Page 19: CPMD Input • &SYSTEM … &END
Page 23 and 24: CPMD Input • &ATOMS … &END (
Page 25 and 26: CPMD Output • Header - Date whe
Page 27 and 28: CPMD Output • Atoms: coordinates
Page 29 and 30: CPMD Output • Distribu4on among
Page 31 and 32: CPMD Output • Ini4al guess for
Page 33 and 34: CPMD Output • Geometry op4miza4o
Page 39 and 40: Force field: Bonded terms (not used
Page 41 and 42: Acetone in Water: Electrostatic Int
Page 45 and 46: Running Gaussian 1. Set the envir
Page 49 and 50: Antechamber - automates the proce
Page 51 and 52: Antechamber - automates the proce
Page 53 and 54: Antechamber - rapid genera4on of
Page 55 and 56: Acetone: Pre-Equilibration • Clas
Page 57 and 58: Acetone: Topology File %VERSION VER
Page 59 and 60: Acetone in Water: Water Box - Autom
Page 61 and 62: Water Models - Water models diffe
Page 63 and 64: Water Models http://www.lsbu.ac.uk/
Page 65 and 66: Sander: Pre-Equilibration • 1. C
Page 67 and 68: Sander: Usage
Page 69 and 70: Sander: 1. Restrained Minimization
Page 71 and 72:
Sander: 2. Unrestrained Minimizatio
Page 73 and 74:
Sander: 3. MD at 300 K (NVT ensembl
Page 75 and 76:
Vibrational Motions • High-‐f
Page 77 and 78:
Statistical Thermodynamics • Cano
Page 79 and 80:
Sander: 3. MD at 300 K (Heating)
Page 81 and 82:
Sander: 4. MD at 300 K / 1 atm (NPT
Page 83 and 84:
Analysis and Processing: Reimaging
Page 85 and 86:
Ab initio MD • Born-‐Oppenhei
Page 87 and 88:
Ab initio MD: CPMD • Adiaba4c se
Page 89 and 90:
Ab initio MD: CPMD • How to con
Page 91 and 92:
QM/MM: Production • Controlling
Page 93 and 94:
QM/MM • Combina4on of accuracy
Page 95 and 96:
QM/MM: Electrostatic interaction
Page 97 and 98:
QM/MM: CPMD/GROMOS • Hamiltonian
Page 99 and 100:
QM/MM: CPMD/GROMOS • Long-‐ra
Page 101 and 102:
QM/MM: CPMD/GROMOS • Forces •
Page 103 and 104:
QM/MM Input: Classical Input File T
Page 105 and 106:
QM/MM Input: Classical Topology Fil
Page 107 and 108:
QM/MM Input: Classical Topology Fil
Page 109 and 110:
QM/MM Input: QM Part - CPMD Input &
Page 111 and 112:
QM/MM Input: QM Part - CPMD Input &
Page 113 and 114:
QM/MM Output: Simulated Annealing
Page 115 and 116:
Car-Parrinello Lagrangian L = T −
Page 117 and 118:
QM/MM Output: Simulated Annealing
Page 119 and 120:
QM/MM Output: Simulated Annealing 9
Page 121 and 122:
QM/MM: Test - Result: temperature
Page 123 and 124:
QM/MM: Heating - Hea4ng of the s
Page 125 and 126:
QM/MM: Production • QM/MM-‐CP
Page 127 and 128:
QM/MM: Dipole Moment Calculation -
Page 129 and 130:
QM/MM: Dipole Moment Calculation
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