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Zhi He - One of the best experts on this subject based on the ideXlab platform.

  • Size-extensive quadratic CI methods including quadruple excitations: QCISDTQ and QCISDTQ(6) – On the importance of four-electron correlation effects
    Chemical Physics Letters, 2000
    Co-Authors: Yuan He, Zhi He, Dieter Cremer
    Abstract:

    Abstract Size-extensive Quadratic CI with single (S), double (D), triple (T), and quadruple (Q) excitations (QCISDTQ) and its non-iterative extension to a method correct at sixth-order perturbation theory, QCISDTQ(6), are developed and applied to electronic systems, for which full CI (FCI) results are available. It is shown that QCISDTQ results are more accurate than either QCISDT or CCSDT. In particular, QCISDTQ(6) correlation energies differ from FCI correlation energies on the average by just 0.04 mhartree. The improvement is caused preferentially by the balanced addition of connected and disconnected four-electron correlation effects, which confirms observations that four-electron correlation effects are important for a balanced description of electron correlation.

  • application of quadratic ci with singles doubles and triples QCISDT an attractive alternative to ccsdt
    International Journal of Quantum Chemistry, 1996
    Co-Authors: Zhi He, Elfi Kraka, Dieter Cremer
    Abstract:

    The size-extensive quadratic CI method with single(s), double(D), and triple (T) excitations, QCISDT, is compared with QCISD, QCISD(T), CCSDT-n, and CCSDT. It is shown that QCISDT results are more accurate than are either QCISD or QCISD(T) results. In particular, QCISDT turns out to be more stable than are QCISD and QCISD(T) in cases with considerable multireference character. QCISDT and CCSDT results are of similar accuracy with slight advantages for the former method. Since QCISDT is much easier to implement on a computer than is CCSDT, it is an attractive alternative to CCSDT. © 1996 John Wiley & Sons, Inc.

  • size extensive QCISDT implementation and application
    Chemical Physics Letters, 1994
    Co-Authors: Dieter Cremer, Zhi He
    Abstract:

    Abstract A size-extensive quadratic CI method with single (S), double (D), and triple (T) excitations, QCISDT, has been derived by appropriate cancellation of disconnected terms in the CISDT projection equations. Matrix elements of the new QCI method have been evaluated in terms of two-electron integrals and applied to a number of atoms and small molecules. While QCISDT results are of similar accuracy to CCSDT results, the new method is easier to implement, converges in many cases faster and, thereby, leads to advantages compared to CCSDT.

  • Size-extensive QCISDT — implementation and application
    Chemical Physics Letters, 1994
    Co-Authors: Dieter Cremer, Zhi He
    Abstract:

    Abstract A size-extensive quadratic CI method with single (S), double (D), and triple (T) excitations, QCISDT, has been derived by appropriate cancellation of disconnected terms in the CISDT projection equations. Matrix elements of the new QCI method have been evaluated in terms of two-electron integrals and applied to a number of atoms and small molecules. While QCISDT results are of similar accuracy to CCSDT results, the new method is easier to implement, converges in many cases faster and, thereby, leads to advantages compared to CCSDT.

  • Analysis of coupled cluster methods
    Theoretica chimica acta, 1994
    Co-Authors: Dieter Cremer, Zhi He
    Abstract:

    A procedure is developed that leads from CI to size-extensive CI (ECI) by stepwise cancellation of disconnected terms in the CI equations. The ECI methods thus obtained are identical with the corresponding coupled cluster (CC) methods with the exception of CISD and CISDT, which convert to size-extensive quadratic CI (QCISD) and ECISDT. The latter method has similar properties as CCSDT, but does not offer any significant time-savings as compared to CCSDT. Therefore, the idea of extending CI methods to size-extensive CI methods does not lead to a hierarchy of independent CC methods. However, the procedure of obtaining ECI methods lays the basis for deriving QCI methods that are truly size-extensive. This is accomplished by (a) deleting the first linear term of the p -fold CI excitation equations ( p ≥ 3) since this term always represents a disconnected term and (b) including just the connected part of appropriate quadratic correction terms in all but the energy equation. In this way, size-extensive QCISDT and QCISDTQ are obtained and their properties are discussed in comparison with QCISD(T) and CCSDT.

Dieter Cremer - One of the best experts on this subject based on the ideXlab platform.

  • Size-extensive quadratic CI methods including quadruple excitations: QCISDTQ and QCISDTQ(6) – On the importance of four-electron correlation effects
    Chemical Physics Letters, 2000
    Co-Authors: Yuan He, Zhi He, Dieter Cremer
    Abstract:

    Abstract Size-extensive Quadratic CI with single (S), double (D), triple (T), and quadruple (Q) excitations (QCISDTQ) and its non-iterative extension to a method correct at sixth-order perturbation theory, QCISDTQ(6), are developed and applied to electronic systems, for which full CI (FCI) results are available. It is shown that QCISDTQ results are more accurate than either QCISDT or CCSDT. In particular, QCISDTQ(6) correlation energies differ from FCI correlation energies on the average by just 0.04 mhartree. The improvement is caused preferentially by the balanced addition of connected and disconnected four-electron correlation effects, which confirms observations that four-electron correlation effects are important for a balanced description of electron correlation.

  • application of quadratic ci with singles doubles and triples QCISDT an attractive alternative to ccsdt
    International Journal of Quantum Chemistry, 1996
    Co-Authors: Zhi He, Elfi Kraka, Dieter Cremer
    Abstract:

    The size-extensive quadratic CI method with single(s), double(D), and triple (T) excitations, QCISDT, is compared with QCISD, QCISD(T), CCSDT-n, and CCSDT. It is shown that QCISDT results are more accurate than are either QCISD or QCISD(T) results. In particular, QCISDT turns out to be more stable than are QCISD and QCISD(T) in cases with considerable multireference character. QCISDT and CCSDT results are of similar accuracy with slight advantages for the former method. Since QCISDT is much easier to implement on a computer than is CCSDT, it is an attractive alternative to CCSDT. © 1996 John Wiley & Sons, Inc.

  • size extensive QCISDT implementation and application
    Chemical Physics Letters, 1994
    Co-Authors: Dieter Cremer, Zhi He
    Abstract:

    Abstract A size-extensive quadratic CI method with single (S), double (D), and triple (T) excitations, QCISDT, has been derived by appropriate cancellation of disconnected terms in the CISDT projection equations. Matrix elements of the new QCI method have been evaluated in terms of two-electron integrals and applied to a number of atoms and small molecules. While QCISDT results are of similar accuracy to CCSDT results, the new method is easier to implement, converges in many cases faster and, thereby, leads to advantages compared to CCSDT.

  • Size-extensive QCISDT — implementation and application
    Chemical Physics Letters, 1994
    Co-Authors: Dieter Cremer, Zhi He
    Abstract:

    Abstract A size-extensive quadratic CI method with single (S), double (D), and triple (T) excitations, QCISDT, has been derived by appropriate cancellation of disconnected terms in the CISDT projection equations. Matrix elements of the new QCI method have been evaluated in terms of two-electron integrals and applied to a number of atoms and small molecules. While QCISDT results are of similar accuracy to CCSDT results, the new method is easier to implement, converges in many cases faster and, thereby, leads to advantages compared to CCSDT.

  • Analysis of coupled cluster methods
    Theoretica chimica acta, 1994
    Co-Authors: Dieter Cremer, Zhi He
    Abstract:

    A procedure is developed that leads from CI to size-extensive CI (ECI) by stepwise cancellation of disconnected terms in the CI equations. The ECI methods thus obtained are identical with the corresponding coupled cluster (CC) methods with the exception of CISD and CISDT, which convert to size-extensive quadratic CI (QCISD) and ECISDT. The latter method has similar properties as CCSDT, but does not offer any significant time-savings as compared to CCSDT. Therefore, the idea of extending CI methods to size-extensive CI methods does not lead to a hierarchy of independent CC methods. However, the procedure of obtaining ECI methods lays the basis for deriving QCI methods that are truly size-extensive. This is accomplished by (a) deleting the first linear term of the p -fold CI excitation equations ( p ≥ 3) since this term always represents a disconnected term and (b) including just the connected part of appropriate quadratic correction terms in all but the energy equation. In this way, size-extensive QCISDT and QCISDTQ are obtained and their properties are discussed in comparison with QCISD(T) and CCSDT.

Joseph S. Francisco - One of the best experts on this subject based on the ideXlab platform.

  • role of oh stretch torsion coupling and quantum yield effects in the first oh overtone spectrum of cis cis hoono
    Journal of Chemical Physics, 2005
    Co-Authors: Anne B Mccoy, Joseph S. Francisco, Andrew K Mollner, Mitchio Okumura
    Abstract:

    A joint theoretical and experimental investigation is undertaken to study the effects of OH-stretch/HOON torsion coupling and of quantum yield on the previously reported first overtone action spectrum of cis-cis HOONO (peroxynitrous acid). The minimum energy path along the HOON dihedral angle is computed at the coupled cluster singles and doubles with perturbative triples level with correlation consistent polarized quadruple zeta basis set, at the structure optimized using the triple zeta basis set (CCSD(T)/cc-pVQZ//CCSD(T)/cc-pVTZ). The two-dimensional ab initio potential energy and dipole moment surfaces for cis-cis HOONO are calculated as functions of the HOON torsion and OH bond length about the minimum energy path at the CCSD(T)/cc-pVTZ and QCISD/AUG-cc-pVTZ (QCISD—quadratic configuration interaction with single and double excitation and AUG-augmented with diffuse functions) level of theory/basis, respectively. The OH-stretch vibration depends strongly on the torsional angle, and the torsional potential possesses a broad shelf at ~90°, the cis-perp conformation. The calculated electronic energies and dipoles are fit to simple functional forms and absorption spectra in the region of the OH fundamental and first overtone are calculated from these surfaces. While the experimental and calculated spectra of the OH fundamental band are in good agreement, significant differences in the intensity patterns are observed between the calculated absorption spectrum and the measured action spectrum in the 2nuOH region. These differences are attributed to the fact that several of the experimentally accessible states do not have sufficient energy to dissociate to OH+NO2 and therefore are not detectable in an action spectrum. Scaling of the intensities of transitions to these states, assuming D0=82.0 kJ/mol, is shown to produce a spectrum that is in good agreement with the measured action spectrum. Based on this agreement, we assign two of the features in the spectrum to Delta n=0 transitions (where n is the HOON torsion quantum number) that are blue shifted relative to the origin band, while the large peak near 7000 cm^–1 is assigned to a series of Delta n=+1 transitions, with predominant contributions from torsionally excited states with substantial cis-perp character. The direct absorption spectrum of cis-cis HOONO (6300–6850 cm^–1) is recorded by cavity ringdown spectroscopy in a discharge flow cell. A single band of HOONO is observed at 6370 cm^–1 and is assigned as the origin of the first OH overtone of cis-cis HOONO. These results imply that the origin band is suppressed by over an order of magnitude in the action spectrum, due to a reduced quantum yield. The striking differences between absorption and action spectra are correctly predicted by the calculations.

  • cis cis and trans perp hoono action spectroscopy and isomerization kinetics
    Journal of Chemical Physics, 2004
    Co-Authors: Sergey A Nizkorodov, Joseph S. Francisco, Mitchio Okumura, C M Roehl, Paul O. Wennberg
    Abstract:

    The weakly bound HOONO product of the OH + NO_2 + M reaction is studied using the vibrational predissociation that follows excitation of the first OH overtone (2nu1). We observe formation of both cis-cis and trans-perp conformers of HOONO. The trans-perp HOONO 2nu1 band is observed under thermal (223–238 K) conditions at 6971 cm^(–1). We assign the previously published (warmer temperature) HOONO spectrum to the 2nu1 band at 6365 cm^(–1) and 2nu1-containing combination bands of the cis-cis conformer of HOONO. The band shape of the trans-perp HOONO spectrum is in excellent agreement with the predicted rotational contour based on previous experimental and theoretical results, but the apparent origin of the cis-cis HOONO spectrum at 6365 cm^(–1) is featureless and significantly broader, suggesting more rapid intramolecular vibrational redistribution or predissociation in the latter isomer. The thermally less stable trans-perp HOONO isomerizes rapidly to cis-cis HOONO with an experimentally determined lifetime of 39 ms at 233 K at 13 hPa (in a buffer gas of predominantly Ar). The temperature dependence of the trans-perp HOONO lifetime in the range 223–238 K yields an isomerization barrier of 33±12 kJ/mol. New ab initio calculations of the structure and vibrational mode frequencies of the transition state perp-perp HOONO are performed using the coupled cluster singles and doubles with perturbative triples [CCSD(T)] model, using a correlation consistent polarized triple zeta basis set (cc-pVTZ). The energetics of cis-cis, trans-perp, and perp-perp HOONO are also calculated at this level [CCSD(T)/cc-pVTZ] and with a quadruple zeta basis set using the structure determined at the triple zeta basis set [CCSD(T)/cc-pVQZ//CCSD(T)/cc-pVTZ]. These calculations predict that the anti form of perp-perp HOONO has an energy of DeltaE0 = 42.4 kJ/mol above trans-perp HOONO, corresponding to an activation enthalpy of DeltaH 298 [double-dagger]0 = 41.1 kJ/mol. These results are in good agreement with statistical simulations based on a model developed by Golden, Barker, and Lohr. The simulated isomerization rates match the observed decay rates when modeled with a trans-perp to cis-cis HOONO isomerization barrier of 40.8 kJ/mol and a strong collision model. The quantum yield of cis-cis HOONO dissociation to OH and NO2 is also calculated as a function of photon excitation energy in the range 3500–7500 cm^(–1), assuming D0 = 83 kJ/mol. The quantum yield is predicted to vary from 0.15 to 1 over the observed spectrum at 298 K, leading to band intensities in the action spectrum that are highly temperature dependent; however, the observed relative band strengths in the cis-cis HOONO spectrum do not change substantially with temperature over the range 193–273 K. Semiempirical calculations of the oscillator strengths for 2nu1(cis-cis HOONO) and 2nu1(trans-perp HOONO) are performed using (1) a one-dimensional anharmonic model and (2) a Morse oscillator model for the OH stretch, and ab initio dipole moment functions calculated using Becke, Lee, Yang, and Parr density functional theory (B3LYP), Moller-Plesset pertubation theory truncated at the second and third order (MP2 and MP3), and quadratic configuration interaction theory using single and double excitations (QCISD). The QCISD level calculated ratio of 2nu1 oscillator strengths of trans-perp to cis-cis HOONO is 3.7:1. The observed intensities indicate that the concentration of trans-perp HOONO early in the OH + NO2 reaction is significantly greater than predicted by a Boltzmann distribution, consistent with statistical predictions of high initial yields of trans-perp HOONO from the OH + NO_2 + M reaction. In the atmosphere, trans-perp HOONO will isomerize nearly instantaneously to cis-cis HOONO. Loss of HOONO via photodissociation in the near-IR limits the lifetime of cis-cis HOONO during daylight to less than 45 h, other loss mechanisms will reduce the lifetime further.

  • relative vibrational overtone intensity of cis cis and trans perp peroxynitrous acid
    Journal of Chemical Physics, 2004
    Co-Authors: Jamie Matthews, Amitabha Sinha, Joseph S. Francisco
    Abstract:

    The vibrational overtone spectrum of HOONO is examined in the region of the 2νOH and 3νOH bands using action spectroscopy in conjunction with ab initio intensity calculations. The present measurements indicate that the oscillator strength associated with the higher energy trans–perp conformer of HOONO is stronger relative to the lower energy cis–cis conformer for both these vibrational overtone levels. Ab initio intensity calculations carried out at the QCISD level of theory suggest that this disparity in oscillator strength apparently arises from differences in the second derivative of the transition dipole moment function of the two isomers. The calculations indicate that the oscillator strength for the trans–perp isomer is ∼5.4 times larger than that of the cis–cis isomer for the 2νOH band and ∼2 times larger for 3νOH band. The band positions and intensities predicted by the calculations are used to aid in the assignment of features in the experimental action spectra associated with the OH stretching o...

  • Relative vibrational overtone intensity of cis–cis and trans–perp peroxynitrous acid
    Journal of Chemical Physics, 2004
    Co-Authors: Jamie Matthews, Amitabha Sinha, Joseph S. Francisco
    Abstract:

    The vibrational overtone spectrum of HOONO is examined in the region of the 2νOH and 3νOH bands using action spectroscopy in conjunction with ab initio intensity calculations. The present measurements indicate that the oscillator strength associated with the higher energy trans–perp conformer of HOONO is stronger relative to the lower energy cis–cis conformer for both these vibrational overtone levels. Ab initio intensity calculations carried out at the QCISD level of theory suggest that this disparity in oscillator strength apparently arises from differences in the second derivative of the transition dipole moment function of the two isomers. The calculations indicate that the oscillator strength for the trans–perp isomer is ∼5.4 times larger than that of the cis–cis isomer for the 2νOH band and ∼2 times larger for 3νOH band. The band positions and intensities predicted by the calculations are used to aid in the assignment of features in the experimental action spectra associated with the OH stretching o...

  • bimolecular reaction of molecular oxygen with overtone excited hooh implications for recycling ho2 in the atmosphere
    Physical Chemistry Chemical Physics, 2003
    Co-Authors: D J Donaldson, Joseph S. Francisco
    Abstract:

    We report ab initio calculations of important regions of the potential energy surface for the reaction: O2(3Σ−g) + HOOH → 2 HO2. The reaction is endothermic by 37.5 ± 3 kcal mol−1, as calculated at the QCISD(T)/6-311++G(3df,3pd)//QCISD/6-311G(2df,2p) level of theory. The predicted mechanism is via a simple hydrogen abstraction, with a barrier of 35.3 kcal mol−1, followed by formation of a six-membered complex, which breaks up into two HO2 radicals. If an OH stretching type local vibrational mode of the hydrogen peroxide molecule is excited to the overtone level vOH = 4, the reaction becomes energetically feasible. This overtone-driven reaction will occur in the atmosphere; we estimate the amount of “extra” HOx production by this mechanism to be about 20–30% of the production by H2O2 ultraviolet absorption when the sun is low in the sky, and about 1% when the sun is overhead.

Kaito Takahashi - One of the best experts on this subject based on the ideXlab platform.

  • temperature dependent rate coefficient for the reaction of ch3sh with the simplest criegee intermediate
    Journal of Physical Chemistry A, 2019
    Co-Authors: Kaito Takahashi, Yulin Li, Cheyu Chiang, Yuanpin Chang
    Abstract:

    The kinetics of the reaction of the simplest Criegee intermediate CH2OO with CH3SH was measured with transient IR absorption spectroscopy in a temperature-controlled flow reaction cell, and the bimolecular rate coefficients were measured from 278 to 349 K and at total pressure from 10 to 300 Torr. The measured bimolecular rate coefficient at 298 K and 300 Torr is (1.01 ± 0.17) ×  10–12 cm3 s–1. The results exhibit a weak negative temperature dependence: the activation energy Ea (k = Ae–Ea/RT) is −1.83 ± 0.05 kcal mol–1, measured at 30 and 100 Torr. Quantum chemistry calculations of the reaction rate coefficient at the QCISD(T)/CBS//B3LYP/6-311+G(2d,2p) level (1.6  ×  10–12 cm3 s–1 at 298 K; Ea = – 2.80 kcal mol–1) are in reasonable agreement with the experimental results. The experimental and theoretical results of the reaction of CH2OO with CH3SH are compared to the reactions of CH2OO with methanol and hydrogen sulfide, and the trends in reactivity are discussed. The results of the present work indicat...

  • kinetics of the reaction of the simplest criegee intermediate with ammonia a combination of experiment and theory
    Physical Chemistry Chemical Physics, 2018
    Co-Authors: Mica C Smith, Kaito Takahashi, Maodu Chen, Xiaohu Zhou, Chunlei Xiao, Wenrui Dong, Xueming Yang
    Abstract:

    The kinetics of the reaction of the simplest Criegee intermediate (CH2OO) with ammonia has been measured under pseudo-first-order conditions with two different experimental methods. We investigated the rate coefficients at 283, 298, 308, and 318 K at a pressure of 50 Torr using an OH laser-induced fluorescence (LIF) method. Weak temperature dependence of the rate coefficient was observed, which is consistent with the theoretical activation energy of −0.53 kcal mol−1 predicted by quantum chemistry calculation at the QCISD(T)/CBS//B3LYP/6-311+G(2d,2p) level. At 298 K, the rate coefficient at 50 Torr from the OH LIF experiment was (5.64 ± 0.56) × 10−14 cm3 molecule−1 s−1 while at 100 Torr we obtained a slightly larger value of (8.1 ± 1.0) × 10−14 cm3 molecule−1 s−1 using the UV transient absorption method. These experimental values are within the theoretical error bars of the present as well as previous theoretical results. Our experimental results confirmed the previous conclusion that ammonia is negligible in the consumption of CH2OO in the atmosphere. We also note that CH2OO may compete with OH in the oxidation of ammonia under certain circumstances, such as at night-time, high altitude and winter time.

  • effect of unsaturated substituents in the reaction of criegee intermediates with water vapor
    Physical Chemistry Chemical Physics, 2018
    Co-Authors: Kaito Takahashi
    Abstract:

    Criegee intermediates (CIs), formed in the reactions of unsaturated hydrocarbons with ozone, are very reactive carbonyl oxides and have recently been suggested as important oxidants in the atmosphere. In this work, we studied the substituent effect on the water monomer and dimer reaction with CIs which include up to three carbon atoms at the QCISD(T)/CBS//B3LYP/6-311+G(2d,2p) level. Our calculation showed that for saturated CIs with a hydrogen atom on the same side as the terminal oxygen atom, the reaction with water vapor would likely dominate the removal processes of these CIs in the atmosphere. On the other hand, for unsaturated CIs, the reactivity toward water vapor decreases compared to the saturated species allowing them to survive in humid atmospheric environments. We also evaluated the kinetic isotope effect in the reaction between CI and water vapor by performing calculations with deuterated water. We found that tunneling is not important and the kinetic isotope effect mainly comes from the difference in the zero point energy between water and deuterated water.

  • how does substitution affect the unimolecular reaction rates of criegee intermediates
    Physical Chemistry Chemical Physics, 2017
    Co-Authors: Kaito Takahashi
    Abstract:

    To gain an understanding of the substitution effect on the unimolecular reaction rate coefficients for Criegee intermediates (CIs), we performed ab initio calculations for CH2OO, CH3CHOO, (CH3)2COO, CH3CH2CHOO, CH2CHCHOO and CHCCHOO. The energies of the CIs, products and transition states were calculated with QCISD(T)/CBS//B3LYP/6-311+G(2d,2p), while the rate coefficients were calculated with anharmonic vibrational correction by using second order vibrational perturbation theory. It was found that for single bonded substitutions, the hydrogen transfer reaction dominates for the syn-conformers, while the OO bending reaction dominates for the anti-conformers. However once a double bond or a triple bond is added, the OO bending reaction dominates for both syn and anti-conformers. The rate coefficients for OO bending reaction show a significant increase when adding a methyl group or ethyl group. On the other hand, the addition of unsaturated vinyl and acetylene groups usually results in a slower thermal decomposition compared to the substitution with saturated carbon groups. Interestingly, for syn_Syn-CH2CHCHOO, a special five member ring closure reaction forming dioxole was calculated to have an extremely fast rate coefficient of 9312 s−1 at room temperature.

  • theoretical calculation of the oh vibrational overtone spectra of 1 n alkane diols n 2 4 origin of disappearing hydrogen bonded oh peak
    Journal of Physical Chemistry A, 2011
    Co-Authors: Yulung Cheng, Huiyi Chen, Kaito Takahashi
    Abstract:

    In this theoretical study, we simulated the vibrational overtone spectrum of ethylene glycol (EG), 1–3 propanediol (PD), and 1–4 butanediol (BD). Using the local mode model along with the potential energy curve and dipole moment function calculated by B3LYP/6-31+G(d,p) and QCISD/6-311++G(3df,3pd), we obtained the theoretical peak position and integrated absorption coefficient. Furthermore, the vibrational spectra was simulated using a Voigt function using homogeneous and inhomogenous width obtained from quantum chemical calculation methods. Previously, Howard and Kjaergaard recorded the second and third overtone photoacoustic spectra of the three aforementioned alkane diols in the gas phase and observed that the intramolecular hydrogen bonded OH peak becomes difficult to observe as the intramolecular hydrogen bonding strength increased, that is, as the chain length was increased. In this paper we show that the disappearance of the hydrogen-bonded OH peak for the OH stretching overtone excitation for BD is...

J S Francisco - One of the best experts on this subject based on the ideXlab platform.