Papers by Kirk A Peterson
The Journal of Chemical Physics, 2004
With several levels of multireference and restricted open-shell single-reference electronic struc... more With several levels of multireference and restricted open-shell single-reference electronic structure theory, optimum structures, relative energetics, and spectroscopic properties of the low-lying 6 ⌬, 6 ⌸, 4 ⌬, 4 ⌸, and 4 ⌺ Ϫ states of linear FeNC and FeCN have been investigated using five contracted Gaussian basis sets ranging from Fe͓10s8p3d͔, C/N͓4s2 p1d͔ to Fe͓6s8 p6d3 f 2g1h͔, C/N͓6s5p4d3 f 2g͔. Based on multireference configuration interaction ͑MRCISDϩQ͒ results with a correlation-consistent polarized valence quadruple-zeta ͑cc-pVQZ͒ basis set, appended with core correlation and relativistic corrections, we propose the relative energies: T e (FeNC), 6 ⌬(0)Ͻ 6 ⌸ (2300 cm Ϫ1)Ͻ 4 ⌬ (2700 cm Ϫ1)Ͻ 4 ⌸ (4200 cm Ϫ1)Ͻ 4 ⌺ Ϫ ; and T e (FeCN), 6 ⌬(0) Ͻ 6 ⌸ (1800 cm Ϫ1)Ͻ 4 ⌬ (2500 cm Ϫ1)Ͻ 4 ⌸ (2900 cm Ϫ1)Ͻ 4 ⌺ Ϫ. The 4 ⌬ and 4 ⌸ states have massive multireference character, arising mostly from 11→12 promotions, whereas the sextet states are dominated by single electronic configurations. The single-reference CCSDT-3 ͑coupled cluster singles and doubles with iterative partial triples͒ method appears to significantly overshoot the stabilization of the quartet states provided by both static and dynamical correlation. The 4,6 ⌬ and 4,6 ⌸ states of both isomers are rather ionic, and all have dipole moments near 5 D. On the ground 6 ⌬ surface, FeNC is predicted to lie 0.6 kcal mol Ϫ1 below FeCN, and the classical barrier for isocyanide/cyanide isomerization is about 6.5 kcal mol Ϫ1. Our data support the recent spectroscopic characterization by Lei and Dagdigian ͓J. Chem. Phys. 114, 2137 ͑2000͔͒ of linear 6 ⌬ FeNC as the first experimentally observed transition-metal monoisocyanide. Their assignments for the ground term symbol, isotopomeric rotational constants, and the Fe-N 3 stretching frequency are confirmed; however, we find rather different structural parameters for 6 ⌬ FeNC:r e (Fe-N) ϭ1.940 Å and r(N-C)ϭ1.182 Å at the cc-pVQZ MRCISDϩQ level. Our results also reveal that the observed band of FeNC originating at 27 236 cm Ϫ1 should have an analog in FeCN near 23 800 cm Ϫ1 of almost equal intensity. Therefore, both thermodynamic stability and absorption intensity factors favor the eventual observation of FeCN via a 6 ⌸← 6 ⌬ transition in the near-UV.
We have developed and benchmarked a new extended basis set for explicitly correlated calculations... more We have developed and benchmarked a new extended basis set for explicitly correlated calculations, namely cc-pV5Z-F12. It is offered in two variants, cc-pV5Z-F12 and cc-pV5Z-F12(rev2), the latter of which has additional basis functions on hydrogen not present in the cc-pVnZ-F12 (n = D,T,Q) sequence. A large uncontracted ‘reference’ basis set is used for benchmarking. cc-pVnZ-F12 (n = D–5) is shown to be a convergent hierarchy. Especially the cc-pV5Z-F12(rev2) basis set can yield the valence CCSD (coupled cluster with all single and double substitutions) component of total atomisation energies, without any extrapolation, to an accuracy normally associated with aug-cc-pV{5,6}Z extrapolations. Hartree-Fock self-consistent field (SCF) components are functionally at the basis set limit, while the MP2 limit can be approached to as little as 0.01 kcal/mol without extrapolation. The determination of (T) appears to be the most difficult of the three components and cannot presently be accomplished without extrapolation or scaling. (T) extrapolation from cc-pV{T,Q}Z-F12 basis sets, combined with CCSD-F12b/cc-pV5Z-F12 calculations, appears to be an accurate combination for explicitly correlated thermochemistry. For accurate work on noncovalent interactions, the basis set superposition error with the cc-pV5Z-F12 basis set is shown to be so small that counterpoise corrections can be neglected for all but the most exacting purposes.
The Journal of Physical Chemistry, 1996
This theoretical study uses ab initio quantum mechanical methods to investigate the electronic pr... more This theoretical study uses ab initio quantum mechanical methods to investigate the electronic properties of ground and excited state sodium nitrate. We calculated electronic properties of the crystalline material for bulk, clean, and defected surfaces. The results of these calculations are used to explain the photoexcitation/desorption mechanism and support the conclusions of an earlier experimental investigation of the laser desorption
The Journal of Chemical Physics, 1994
The structures, binding energies, and enthalpies of small molecular clusters incorporating a sing... more The structures, binding energies, and enthalpies of small molecular clusters incorporating a single lithium cation and up through six waters have been determined with extended Gaussian basis sets using Hartree-Fock and post-Hartree-Fock methods. The resulting properties are analyzed with respect to both basis set completeness and degree of correlation recovery, including core-core and core-valence effects. Although the lithium-water interaction is largely electrostatic in nature, small basis sets, lacking in polarization and near-valence diffuse functions, drastically overestimate the strength of the bond (by 20 kcal/mol or more) and underestimate the Li+***O distance by up to 0.1 A. Their poor performance is attributable to inherent errors in describing the electric moments and polarizability of water and to large basis set superposition errors. Thus, the accuracy with which the fundamental lithium-water interaction could be modeled was primarily dependent on the quality of the Gaussian basis set and not upon the level of correlation recovery. Basis set enlargement and correlation effects both tend to reduce the strength of the Li+(HzO) bond, but produce corrections of opposite sign for the Li+.*+ 0 bond length. Although correlation effects play a minor role in describing the lithium-water interaction, as the size of the cluster increases and the number of waters involved in multiple hydrogen bonds grows, correlation recovery can become significant.
The Journal of Chemical Physics, 2013
The effectiveness of the recently developed, explicitly correlated coupled cluster method CCSD(T)... more The effectiveness of the recently developed, explicitly correlated coupled cluster method CCSD(T)-F12b is examined in terms of its ability to reproduce atomization energies derived from complete basis set extrapolations of standard CCSD(T). Most of the standard method findings were obtained with aug-cc-pV7Z or aug-cc-pV8Z basis sets. For a few homonuclear diatomic molecules it was possible to push the basis set to the aug-cc-pV9Z level. F12b calculations were performed with the cc-pVnZ-F12 (n = D, T, Q) basis set sequence and were also extrapolated to the basis set limit using a Schwenke-style, parameterized formula. A systematic bias was observed in the F12b method with the (VTZ-F12/VQZ-F12) basis set combination. This bias resulted in the underestimation of reference values associated with small molecules (valence correlation energies <0.5 E(h)) and an even larger overestimation of atomization energies for bigger systems. Consequently, caution should be exercised in the use of F12b for high accuracy studies. Root mean square and mean absolute deviation error metrics for this basis set combination were comparable to complete basis set values obtained with standard CCSD(T) and the aug-cc-pVDZ through aug-cc-pVQZ basis set sequence. However, the mean signed deviation was an order of magnitude larger. Problems partially due to basis set superposition error were identified with second row compounds which resulted in a weak performance for the smaller VDZ-F12/VTZ-F12 combination of basis sets.
The Journal of Chemical Physics, 2011
The leading cause of error in standard coupled cluster theory calculations of thermodynamic prope... more The leading cause of error in standard coupled cluster theory calculations of thermodynamic properties such as atomization energies and heats of formation originates with the truncation of the oneparticle basis set expansion. Unfortunately, the use of finite basis sets is currently a computational necessity. Even with basis sets of quadruple zeta quality, errors can easily exceed 8 kcal/mol in small molecules, rendering the results of little practical use. Attempts to address this serious problem have led to a wide variety of proposals for simple complete basis set extrapolation formulas that exploit the regularity in the correlation consistent sequence of basis sets. This study explores the effectiveness of six formulas for reproducing the complete basis set limit. The W4 approach was also examined, although in lesser detail. Reference atomization energies were obtained from standard coupled-cluster singles, doubles, and perturbative triples (CCSD(T)) calculations involving basis sets of 6ζ or better quality for a collection of 141 molecules. In addition, a subset of 51 atomization energies was treated with explicitly correlated CCSD(T)-F12b calculations and very large basis sets. Of the formulas considered, all proved reliable at reducing the one-particle expansion error. Even the least effective formulas cut the error in the raw values by more than half, a feat requiring a much larger basis set without the aid of extrapolation. The most effective formulas cut the mean absolute deviation by a further factor of two. Careful examination of the complete body of statistics failed to reveal a single choice that out performed the others for all basis set combinations and all classes of molecules.
The Journal of Chemical Physics, 2009
The molecular structure, harmonic and anharmonic frequencies and atomization energy of the water ... more The molecular structure, harmonic and anharmonic frequencies and atomization energy of the water monomer have been re-examined with high level electronic structure methods. We estimate the uncertainties in our final, best values as SigmaD(e)+/-0.09 kcal/mol, r(e)(OH)+/-0.000 05 A, [measured angle]HOH+/-0.007 degrees, (omega(i),nu(i))+/-0.2 cm(-1) (stretches), and +/-0.3 cm(-1) (bend). These findings serve as a useful benchmark for more approximate techniques, and a careful breakdown of the component pieces illustrates some of the difficulties encountered in trying to achieve tightly converged properties.
The Journal of Physical Chemistry A, 2010
The Journal of Physical Chemistry A, 2011
ChemInform, 2001
ABSTRACT ChemInform is a weekly Abstracting Service, delivering concise information at a glance t... more ABSTRACT ChemInform is a weekly Abstracting Service, delivering concise information at a glance that was extracted from about 100 leading journals. To access a ChemInform Abstract of an article which was published elsewhere, please select a “Full Text” option. The original article is trackable via the “References” option.
The Journal of Physical Chemistry A, 2000
The ionization potentials (IP) of Si 2 (X 3 Σ g -) to form the X 4 Σ gand a 2 Π u states of Si 2 ... more The ionization potentials (IP) of Si 2 (X 3 Σ g -) to form the X 4 Σ gand a 2 Π u states of Si 2 + have been calculated at very high levels of ab initio molecular orbital theory (CCSD(T) with augmented correlation-consistent basis sets extrapolated to the complete basis set limit). The calculated value of the IP to form the X 4 Σ gground state of the ion is 7.913 eV as compared to an experimental value of 7.9206 eV. The a 2 Π u state is predicted to lie 0.52 eV above the X 4 Σ gground state of Si 2 + . The 1 3 ∆ u , 2 3 ∆ u , H 3 Σ u -, and K 3 Σ uexcited states of Si 2 , as well as the X 4 Σ g -, a 2 Π u , and 2 2 Π u states of Si 2 + , have been calculated at the multireference configuration interaction level. The agreement of the calculated positions of the states with the known experimental values is quite good (better than 0.1 eV). The calculated wave functions for the excited states of Si 2 show significant multireference character. This is especially true for the H state which has been used as an intermediate state in photoionization experiments. The multireference character of the H state readily allows the connection of this state to the ground X 4 Σ gelectronic state of Si 2 + via a one electron photoionization process.
The Journal of Chemical Physics, 2008
Recent estimates of the CCSD͑T͒͑FC͒ limit for the neon atom ͑−128.8690Ϯ 0.001 and −128.8687Ϯ 0.00... more Recent estimates of the CCSD͑T͒͑FC͒ limit for the neon atom ͑−128.8690Ϯ 0.001 and −128.8687Ϯ 0.0005 hartree͒ are refined. Re-examination of the basis set convergence of the separate self-consistent field, MP2-␣, MP2-␣␣, CCSD-MP2, and ͑T͒ components of the valence CCSD͑T͒ energy gives a complete basis set limit of −128.869 236Ϯ 0.000 02 hartree. This can now be used as an improved benchmark to calibrate more approximate calculations.
The Journal of Physical Chemistry A, 2010
The heats of formation at 298.15 K and structures of five small oxygen fluoride molecules have be... more The heats of formation at 298.15 K and structures of five small oxygen fluoride molecules have been determined with coupled cluster theory incorporating at least through quadruple excitations. Because the wave functions of several of these systems exhibit strong multiconfiguration character, correlation recovery beyond CCSD(T) was found to be essential for achieving accurate results. Comparison is made with multireference configuration interaction properties where appropriate. The final DeltaH(f)(298 K) values obtained in this study are FO ((2)Pi(3/2)) = 26.5 +/- 0.2, FOO ((2)A'') = 6.4 +/- 0.7, OFO ((2)B(2)) = 125.0 +/- 0.3, FOF ((1)A(1)) = 5.9 +/- 0.3, and FOOF ((1)A) = 6.4 +/- 0.7 kcal/mol. For FO, FOO, and FOF, the theoretical DeltaH(f) values with their accompanying error bars easily fall within the experimental error bars. In the case of OFO the heat of formation has not been determined experimentally. The best current DeltaH(f) for FOOF lies outside the NIST-JANAF experimental error bars (4.59 +/- 0.5 kcal/mol) despite the use of very high levels of theory and the adoption of what is believed to be a conservative estimate of the theoretical uncertainty. Good agreement with experiment was found for the structures.
Theoretical Chemistry Accounts, 2014
ABSTRACT Improved accuracy benchmark atomization energies, equilibrium structures, and harmonic f... more ABSTRACT Improved accuracy benchmark atomization energies, equilibrium structures, and harmonic frequencies were obtained from the composite Feller–Peterson–Dixon procedure applied at the highest possible level permitted by our current hardware and software. Convergence of the 1-particle expansion was achieved through use of correlation consistent basis sets as large as aug-cc-pV8Z and aug-cc-pV9Z, followed by the application of a simple extrapolation formula in order to more closely approximate the basis set limit. Convergence of the n-particle expansion was addressed with a systematic sequence of coupled cluster methods up through CCSDTQ5. In 10 cases, coupled cluster theory was augmented with full configuration interaction. Each of the multiple sources of error was carefully monitored in order to minimize the overall uncertainty to the extent possible. Comparison with high-quality experimental values, many of them obtained from the active thermochemical tables, reveals overall close agreement with theory.
The Journal of Chemical Physics, 2005
In a previous paper ͓L. Sun, P. de Sainte Claire, O. Meroueh, and W. L Hase, J. Chem. Phys. 114, ... more In a previous paper ͓L. Sun, P. de Sainte Claire, O. Meroueh, and W. L Hase, J. Chem. Phys. 114, 535 ͑2001͔͒, a classical trajectory simulation was reported of CH 4 desorption from Ni͕111͖ by Ar-atom collisions. At an incident angle i of 60°͑with respect to the surface normal͒, the calculated collision-induced desorption ͑CID͒ cross sections are in excellent agreement with experiment. However, for smaller incident angles the calculated cross sections are larger than the experimental values and for normal collisions, i ϭ0°, the calculated cross sections are approximately a factor of 2 larger. This trajectory study used an analytic function for the Ar ϩNi(s) intermolecular potential which gives an Ar-Ni͕111͖ potential energy minimum which is an order of magnitude too deep. In the work reported here, the previous trajectory study is repeated with an ArϩNi(s) analytic intermolecular potential which gives an accurate Ar-Ni͕111͖ potential energy minimum and also has a different surface corrugation than the previous potential. Though there are significant differences between the two ArϩNi(s) analytic potentials, they have no important effects on the CID dynamics and the cross sections reported here are nearly identical to the previous values. Zero-point energy motions of the surface and the CH 4 -Ni(s) intermolecular modes are considered in the simulation and they are found to have a negligible effect on the CID cross sections. Calculations of the intermolecular potential between CH 4 and a Ni atom, at various levels of theory, suggest that there are substantial approximations in the ab initio calculation used to develop the CH 4 ϩNi͕111͖ potential. The implication is that the differences between the trajectory and experimental CID cross sections may arise from an inaccurate CH 4 ϩNi͕111͖ potential used in the trajectory simulation.
Theoretical Chemistry Accounts, 2014
The current Active Thermochemical Tables (ATcT) results for the bond dissociation energies of the... more The current Active Thermochemical Tables (ATcT) results for the bond dissociation energies of the homonuclear diatomics H 2 , C 2 , N 2 , O 2 , and F 2 are reported and discussed. The role and origin of the distributed provenance of ATcT values is analyzed. Ramifications in terms of the enthalpies of formation of H, C, N, O, and F atoms, which are fundamental thermochemical quantities, are presented. In addition, the current ATcT bond dissociation energies and enthalpies of formation of HF, CH, CO, CN, NO, OH, CO 2 , H 2 O, and triplet and singlet CH 2 are also reported.
Chemical Physics Letters, 2006
ABSTRACT In their recent Letter, Klein and Zottola [Chem. Phys. Lett. 419 (2006) 254-258] emphasi... more ABSTRACT In their recent Letter, Klein and Zottola [Chem. Phys. Lett. 419 (2006) 254-258] emphasized the superior performance of density functional theory combined with the 6-311 ++G(2d, p) Pople-style basis set relative to conventional methods, such as second order perturbation theory and coupled cluster theory, with correlation consistent basis sets for the prediction of bond lengths. In this work, we present evidence that the former approach may be less capable of achieving uniformly accurate results for a variety of spectroscopic properties. (c) 2006 Elsevier B.V. All rights reserved.
The Journal of Physical …, 1998
... of BH, BH 2 , BH 3 , and B 2 H 6 have been obtained from ab initio coupled cluster ... The be... more ... of BH, BH 2 , BH 3 , and B 2 H 6 have been obtained from ab initio coupled cluster ... The best values were obtained by extrapolating the finite basis set results to the complete basis ... the scope of the present work, we will briefly discuss several recent high-accuracy investigations of ...
The Journal of Physical Chemistry a, 2009
Atomization energies at 0 K and heats of formation at 0 and 298 K are predicted from high level a... more Atomization energies at 0 K and heats of formation at 0 and 298 K are predicted from high level ab initio electronic structure calculations using the coupled cluster CCSD(T) method with augmented correlation-consistent basis sets extrapolated to the complete basis set (CBS) limit for the H1,2OmSn (m, n = 0-3) compounds, as well as various radicals involved in different bond breaking processes. To achieve near chemical accuracy (±1.0 kcal/mol), additional corrections were added to the CBS binding energies based on the frozen core CCSD(T) energies including corrections for core-valence, scalar relativistic, and first-order atomic spin-orbit effects. Geometries were optimized up through the CCSD(T)/aV(T+d)Z level. Vibrational zero point energies were computed at the MP2/aV(T+d)Z level. The calculated heats of formation are in excellent agreement with the available experimental data and allow the prediction of adiabatic bond dissociation energies (BDEs) to within ±1.0 kcal/mol. The decomposition mechanisms were largely determined by a preference to maintain a strong S═O bond in the dissociated products as opposed to O═O and S═S bonds, exactly matching the ordering of the BDEs in the diatomics. For the H2X2 and H2X3 systems, as well as the HX3 radicals, the energetically favorable decomposition pathway leads to the formation of XH radicals and breaking the X-X bond as opposed to breaking the X-H bond. For the HX2 radicals, however, the more thermodynamically favorable pathway leads to a breaking of the H-X bond and forming X2 molecules.
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Papers by Kirk A Peterson