An ab initio determination of the potential‐energy surfaces and rotation–vibration energy levels of methylene in the lowest triplet and singlet states and the singlet–triplet splitting

The potential‐energy surfaces and rotation–vibration energy levels of the ground (X 3B1) and first excited (a 1A1) electronic states of the methylene radical have been determined by purely ab initio means. The potential‐energy surfaces were determined by multireference configuration interaction calculations, using a full‐valence complete‐active‐space reference space, with an atomic‐natural‐orbital basis set of size [5s4p3d2f1g/3s2p1d]. The configuration interaction (CI) calculations were carried out at 45 points on the triplet surface and 24 points on the singlet surface. The Morse oscillator rigid bender internal dynamics (MORBID) procedure was used to calculate vibrational and rotational energy levels for 12CH2, 12CD2, 13CH2, and 12CHD. Also calculated were the zero‐point vibrational energies, the singlet–triplet splitting, and the dissociation energy. The zero‐point energy of 12CH2 is found to be 127 cm−1 (0.363 kcal/mol) greater in the triplet state than in the singlet. The singlet–triplet splitting in 12CH2 is computed as T0=3116 cm−1 (8.909 kcal/mol), compared with the experimentally derived value of 3156±5 cm−1 (9.024±0.014 kcal/mol). The dissociation energy of the ground state is obtained as D0=179.06 kcal/mol, compared to an experimental value of 179.2±0.8 kcal/mol. The fundamental frequencies for the triplet state are obtained as ν1=3015, ν2=974, and ν3=3236 cm−1 (the experimental value of ν2 is 963.10 cm−1). The corresponding values for the singlet (experimental values in parentheses) are ν1=2787 (2806), ν2=1351 (1353), and ν3=2839 (2865) cm−1.The potential‐energy surfaces and rotation–vibration energy levels of the ground (X 3B1) and first excited (a 1A1) electronic states of the methylene radical have been determined by purely ab initio means. The potential‐energy surfaces were determined by multireference configuration interaction calculations, using a full‐valence complete‐active‐space reference space, with an atomic‐natural‐orbital basis set of size [5s4p3d2f1g/3s2p1d]. The configuration interaction (CI) calculations were carried out at 45 points on the triplet surface and 24 points on the singlet surface. The Morse oscillator rigid bender internal dynamics (MORBID) procedure was used to calculate vibrational and rotational energy levels for 12CH2, 12CD2, 13CH2, and 12CHD. Also calculated were the zero‐point vibrational energies, the singlet–triplet splitting, and the dissociation energy. The zero‐point energy of 12CH2 is found to be 127 cm−1 (0.363 kcal/mol) greater in the triplet state than in the singlet. The singlet–triplet splitting...

[1]  C. Bauschlicher,et al.  Benchmark full configuration-interaction calculations on HF and NH2 , 1986 .

[2]  E. Davidson,et al.  Relativistic corrections for methylene , 1980 .

[3]  R. Raffenetti,et al.  General contraction of Gaussian atomic orbitals: Core, valence, polarization, and diffuse basis sets; Molecular integral evaluation , 1973 .

[4]  C. Bauschlicher The dissociation energy of Cu2; Do we want to perform multi-reference singles and doubles cls on i%iany-electron systems? , 1983 .

[5]  H. Schaefer,et al.  The diagonal correction to the Born–Oppenheimer approximation: Its effect on the singlet–triplet splitting of CH2 and other molecular effects , 1986 .

[6]  J. Hinze,et al.  The Unitary group for the evaluation of electronic energy matrix elements , 1981 .

[7]  I. Shavitt Geometry and singlet−triplet energy gap in methylene: a critical review of experimental and theoretical determinations , 1985 .

[8]  R. Zare,et al.  Experimental determination of the singlet-triplet splitting in methylene , 1978 .

[9]  Peter R. Taylor,et al.  General contraction of Gaussian basis sets. I. Atomic natural orbitals for first‐ and second‐row atoms , 1987 .

[10]  Russell M. Pitzer,et al.  An SCF method for hole states , 1976 .

[11]  P. Jensen,et al.  A refined potential surface for the X̃ 3B1 electronic state of methylene CH2 , 1983 .

[12]  Peter R. Taylor,et al.  The choice of Gaussian basis sets for molecular electronic structure calculations , 1981 .

[13]  Ernest R. Davidson,et al.  Configuration interaction calculations on the nitrogen molecule , 1974 .

[14]  J. T. Hougen,et al.  The vibration-rotation problem in triatomic molecules allowing for a large-amplitude bending vibration , 1970 .

[15]  D. Papoušek,et al.  Molecular vibrational-rotational spectra , 1982 .

[16]  H. Petek,et al.  Visible absorption and magnetic‐rotation spectroscopy of 1CH2: Analysis of the 1A1 state and the 1A1–3B1 coupling , 1987 .

[17]  A. D. McLean,et al.  Classification of configurations and the determination of interacting and noninteracting spaces in configuration interaction , 1973 .

[18]  P. Jensen The nonrigid bender Hamiltonian for calculating the rotation-vibration energy levels of a triatomic molecule , 1983 .

[19]  P. Bunker,et al.  Observation of the ν2 band of CH2 by laser magnetic resonance , 1981 .

[20]  Trevor J. Sears,et al.  Far infrared laser magnetic resonance of singlet methylene: Singlet–triplet perturbations, singlet–triplet transitions, and the singlet–triplet splittinga) , 1983 .

[21]  Robert J. Gdanitz,et al.  The averaged coupled-pair functional (ACPF): A size-extensive modification of MR CI(SD) , 1988 .

[22]  P. Jensen,et al.  The nonrigid bender Hamiltonian using an alternative perturbation technique , 1986 .

[23]  P. Jensen,et al.  The potential surface of X̃ 3B1 methylene (CH2) and the singlet–triplet splitting , 1986 .

[24]  Russell M. Pitzer,et al.  A progress report on the status of the COLUMBUS MRCI program system , 1988 .

[25]  H. Schaefer,et al.  Methylene: A Paradigm for Computational Quantum Chemistry , 1986, Science.

[26]  R. Bartlett Electronic Structure Methods. (Book Reviews: Comparison of Ab Initio Quantum Chemistry with Experiment for Small Molecules) , 1985 .

[27]  P. Jensen A new morse oscillator-rigid bender internal dynamics (MORBID) Hamiltonian for triatomic molecules , 1988 .

[28]  A. D. McLean,et al.  An abinitio calculation of ν1 and ν3 for triplet methylene (X̃ 3B1 CH2) and the determination of the vibrationless singlet–triplet splitting Te(ã 1A1) , 1987 .

[29]  Robert J. Buenker,et al.  Configuration interaction calculations for the N2 molecule and its three lowest dissociation limits , 1977 .

[30]  P. Jensen Hamiltonians for the internal dynamics of triatomic molecules , 1988 .

[31]  Isaiah Shavitt,et al.  Comparison of the convergence characteristics of some iterative wave function optimization methods , 1982 .

[32]  P. Löwdin,et al.  New Horizons of Quantum Chemistry , 1983 .

[33]  P. Jensen Calculation of rotation-vibration linestrengths for triatomic molecules using a variational approach , 1988 .

[34]  P. Jensen,et al.  The potential surface and stretching frequencies of X̃ 3B1 methylene (CH2) determined from experiment using the Morse oscillator‐rigid bender internal dynamics Hamiltonian , 1988 .

[35]  F. B. Brown,et al.  Configuration selection and extrapolation in multireference configuration interaction calculations: The (H2)2 van der waals complex as a benchmark example , 1987 .

[36]  B. Roos,et al.  A complete active space SCF method (CASSCF) using a density matrix formulated super-CI approach , 1980 .

[37]  W. Goddard,et al.  Electron correlation, basis sets, and the methylene singlet–triplet gap , 1987 .

[38]  S. Langhoff,et al.  Ab initio rotation-vibration transition moments for CH2 in the X̃3B1 and ã1A1 electronic states , 1983 .