- •Table of Contents
- •Preface
- •Contributors
- •1. INTRODUCTION
- •2. HIERARCHIES OF AB INITIO THEORY
- •2.3. Computational Cost
- •3.2. The CCSD(T) Model
- •4.1. Electronic and Nuclear Contributions
- •4.2. Dependence on the AO Basis Set
- •5.2. Extrapolations from Principal Expansions
- •6. CALIBRATION OF THE EXTRAPOLATION TECHNIQUE
- •6.2. Total Electronic Energy
- •6.3. Core Contributions to AEs
- •7. MOLECULAR VIBRATIONAL CORRECTIONS
- •8. RELATIVISTIC CONTRIBUTIONS
- •9. CALCULATION OF ATOMIZATION ENERGIES
- •10. CONCLUSIONS AND PERSPECTIVES
- •2. STEPS IN THE W1 AND W2 THEORIES, AND THEIR JUSTIFICATION
- •2.1. Reference Geometry
- •2.2. The SCF Component of TAE
- •2.3. The CCSD Valence Correlation Component of TAE
- •2.4. Connected Triple Excitations: the (T) Valence Correlation Component of TAE
- •2.6. Scalar Relativistic Correction
- •3. PERFORMANCE OF W1 AND W2 THEORIES
- •3.2. Electron Affinities (the G2/97 Set)
- •3.4. Heats of Formation (the G2/97 Set)
- •3.5. Proton Affinities
- •4. VARIANTS AND SIMPLIFICATIONS
- •4.2. W1h and W2h Theories
- •4.5. W1c Theory
- •4.6. Detecting Problems
- •5. EXAMPLE APPLICATIONS
- •5.1. Heats of Vaporization of Boron and Silicon
- •5.2. Validating DFT Methods for Transition States: the Walden Inversion
- •5.3. Benzene as a ”Stress Test” of the Method
- •6. CONCLUSIONS AND PROSPECTS
- •1. INTRODUCTION
- •2. THE G3/99 TEST SET
- •4. G3S THEORY
- •5. G3X THEORY
- •6. DENSITY FUNCTIONAL THEORY
- •7. CONCLUDING REMARKS
- •1. INTRODUCTION
- •2. PAIR NATURAL ORBITAL EXTRAPOLATIONS
- •3. CURRENT CBS MODELS
- •4. TRANSITION STATES
- •5. EXPLICIT FUNCTIONS OF THE INTERELECTRON DISTANCE
- •7. NEW DEVELOPMENTS
- •7.1. The SCF Limit
- •7.2. The CBS Limit for the MP2 Correlation Energy
- •7.4. Total Energies
- •8. ENZYME KINETICS AND MECHANISM
- •9. SUMMARY
- •1. INTRODUCTION
- •2. ELECTRON PROPAGATOR CONCEPTS
- •3. AN ECONOMICAL APPROXIMATION: P3
- •4. OTHER DIAGONAL APPROXIMATIONS
- •5. NONDIAGONAL APPROXIMATIONS
- •7. P3 TEST RESULTS
- •7.1. Atomic Ionization Energies
- •7.2. Molecular Species
- •8. CONCLUSIONS AND PROSPECTUS
- •1. INTRODUCTION
- •2. THEORETICAL PROCEDURES
- •3. GEOMETRIES
- •4. HEATS OF FORMATION
- •5. BOND DISSOCIATION ENERGIES
- •6. RADICAL STABILIZATION ENERGIES
- •7. REACTION BARRIERS
- •8. REACTION ENTHALPIES
- •9. CONCLUDING REMARKS
- •1. INTRODUCTION
- •2. HOMOLEPTIC CARBONYL COMPLEXES
- •4. IRON CARBONYL COMPLEXES
- •5. GROUP-10 CARBONYL COMPLEXES
- •7. NOBLE GAS COMPLEXES
- •8. TRANSITION METAL CARBENE AND CARBYNE COMPLEXES
- •12. TRANSITION METAL METHYL AND PHENYL COMPOUNDS
- •13. TRANSITION METAL NITRIDO AND PHOSPHIDO COMPLEXES
- •15. MAIN GROUP COMPLEXES OF BeO
- •16. CONCLUSION
- •1. INTRODUCTION
- •2. THEORETICAL BACKGROUND
- •3. SPECIFIC CONVENTIONS
- •4. STATISTICAL EVALUATIONS
- •5. DISCUSSION
- •Index
BDEs of Transition Metal Compounds and Main Group Complexes |
207 |
4.IRON CARBONYL COMPLEXES
A large number of iron carbonyl complexes with different ligands L in the axial or equatorial positions has been investigated [58]. Table 7.5 lists the theoretically predicted relative energies of the isomers and the Fe–L BDEs at the B3LYP/II and CCSD(T)/II levels of theory. Experimental values of these bond energies are not known. The complexes, where L is a group-13 diyl ligand, are presented separately.
The data compiled in Table 7.5 show that the relative energies of the axial and equatorial isomers yielded by the B3LYP/II level of theory are very similar to their CCSD(T) counterparts. The B3LYP/II BDEs are always larger than the CCSD(T)/II results, but the trends predicted by the two methods for different ligands are the same. It is worth noting
208 |
Chapter 7 |
that the B3LYP/II and CCSD(T)/II levels of theory agree on ethylene in being more strongly bonded than acetylene.
BDEs of Transition Metal Compounds and Main Group Complexes |
209 |
5. GROUP-10 CARBONYL COMPLEXES
Table 7.6 lists the theoretical BDEs of the M–L bonds in the group- and complexes calculated at the MP2/II and CCSD(T)/II levels of theory [49, 50]. The only experimental value known for those compounds is an estimate of ca. 10 kcal/mol obtained for the bond energy at 298 K [59]. This estimate is based on kinetic measurements of nitrogen extrusion from the complex. Thermal corrections to the CCSD(T)/II value of kcal/mol yield a theoretical prediction of 6.7 kcal/mol, which is in a reasonable agreement with experiment [49]. The MP2/II BDEs listed in
210 |
Chapter 7 |
Table 7.6 are significantly larger than their CCSD(T)/II counterparts. is much more strongly bonded at the MP2/II level of theory ( kcal/mol) than at the CCSD(T)/II level. The stronger metal–ligand bonds at the MP2/II level of theory lead to energy minima for the complexes that are predicted by the CCSD(T)/II calculations to be unstable with respect to the M–L dissociation. For example, both and are minima on the MP2/II potential energy hypersurfaces, while the calculations at the CCSD(T)/II level of theory produce negative dissociation energies [42]. The M–L BDEs of the group-10 carbonyl complexes are clearly lower than those of their group-6 analogues They are also lower than the Fe–L BDEs of
6.GROUP-6 CARBONYL COMPLEXES WITH PHOSPHANE LIGANDS
The structure and bonding of group-6 TM carbonyl complexes with phosphane ligands and have been the subjects of another theoretical study [60]. Table 7.7 lists the BDEs calculated at the BP86 level of theory in conjunction with our standard basis set II and the larger TZ(2)P Slater basis set, which
has one set of f-type |
polarization functions on the transition metals and |
two sets of polarization functions on the other atoms. |
|
Except for the |
complexes, the BP86/II and BP86/TZ(2)P |
BDEs values are very similar. The BP86/II BDE estimates for these complexes are 4 - 6 kcal/mol higher than their BP86/TZ(2)P counter-
parts. Both levels of theory predict the trend in the |
BDEs for |
the different phosphane ligands being |
|
7.NOBLE GAS COMPLEXES
A special type of TM ligands are the noble gas atoms argon, krypton, and xenon [61]. Although they are weak Lewis bases, TM complexes with and and Xe have been experimentally investigated in the gas phase as well as in the liquid phase and in supercritical The M–Ng BDEs were estimated with