Abstract:To assist the proposed search for the electric dipole moment of the electron with the thorium oxide, converged ab initio coupled cluster calculations are performed on the interaction energy, dipole moment, anisotropic static dipole polarizability, and quadrupole moment of the ThO(X Σ1+) molecule as functions of internuclear distance. The rovibrational energy levels and wave functions are computed to derive the spectroscopic constants and matrix elements of electric properties. Ab initio calculations provide go… Show more
“…The determined parameters are (in wavenumbers, cm 1 + (v = 0) state (=1.842 17 Å) is identical to that determined from the pure rotational spectrum 7 and slightly smaller than the recent ab initio prediction of 1.846 Å. 10 The R value for E(0…”
mentioning
confidence: 81%
“…The field-free transition wavenumbers of Table I were least squares fit to a model that included the upper and lower state rotational parameters, B, and the band origin, T 10 . The determined parameters are (in wavenumbers, cm 1 + (v = 0) state (=1.842 17 Å) is identical to that determined from the pure rotational spectrum 7 and slightly smaller than the recent ab initio prediction of 1.846 Å.…”
The optical Stark spectrum of the E(0+) − X1Σ+ (1,0) band of thorium monoxide, ThO, was recorded and analyzed to determine the permanent electric dipole moments, μ, for the E(0+) (v = 1) and X1Σ+ (v = 0) states. Values of 2.782 ± 0.012 D (X) and 3.534 ± 0.010 D (E) were obtained. The uncertainties are 2σ statistical error. The systematic errors are estimated to be less than 1%. The experimental results are used to access the quality of electronic structure calculations of the properties of the X1Σ+ (v = 0) state.
“…The determined parameters are (in wavenumbers, cm 1 + (v = 0) state (=1.842 17 Å) is identical to that determined from the pure rotational spectrum 7 and slightly smaller than the recent ab initio prediction of 1.846 Å. 10 The R value for E(0…”
mentioning
confidence: 81%
“…The field-free transition wavenumbers of Table I were least squares fit to a model that included the upper and lower state rotational parameters, B, and the band origin, T 10 . The determined parameters are (in wavenumbers, cm 1 + (v = 0) state (=1.842 17 Å) is identical to that determined from the pure rotational spectrum 7 and slightly smaller than the recent ab initio prediction of 1.846 Å.…”
The optical Stark spectrum of the E(0+) − X1Σ+ (1,0) band of thorium monoxide, ThO, was recorded and analyzed to determine the permanent electric dipole moments, μ, for the E(0+) (v = 1) and X1Σ+ (v = 0) states. Values of 2.782 ± 0.012 D (X) and 3.534 ± 0.010 D (E) were obtained. The uncertainties are 2σ statistical error. The systematic errors are estimated to be less than 1%. The experimental results are used to access the quality of electronic structure calculations of the properties of the X1Σ+ (v = 0) state.
“…41 The O(1s 2 ) and Th(5s 2 5 p 6 5d 10 ) atomic orbitals were included in the core. As shown by a detailed analysis of the monomer electric properties, 6 this basis set is not fully saturated, which may lead to underestimation of the induction and dispersion interactions within the complex. To correct this problem, we placed a set of bond functions 3s3 p2d2 f 1g (Ref.…”
Section: A Potential Energy Surfacementioning
confidence: 99%
“…Because the vibrational frequency of ThO (896 cm −1 ) (Ref. 36) is large compared to all other energy scales of interest in this work, we fixed the ThO internuclear distance at r e = 1.845 Å, as estimated from converged calculations on the monomer 6 (the measured Born-Oppenheimer equilibrium distance 37 is slightly smaller, 1.8402 Å). The rotational constant B e of ThO was taken as 0.332 cm −1 .…”
Section: A Potential Energy Surfacementioning
confidence: 99%
“…Previous theoretical work has established that the electronic wave function of the X 1 + state of ThO at r ≈ r e can be accurately described within the scalar-relativistic singlereference coupled cluster method. 6 The same method was implemented here in its restricted version with singles, doubles, and noniterative triples [CCSD(T)] based on the standard restricted Hartree-Fock (RHF) reference. 38 We employed a small-core relativistic effective core potential ECP60MWB (Ref.…”
The k-j-j vector correlation in inelastic and reactive scattering J. Chem. Phys. 135, 084305 (2011) Theoretical investigation of rotationally inelastic collisions of the methyl radical with helium J. Chem. Phys. 135, 064306 (2011) State-to-state differential and relative integral cross sections for rotationally inelastic scattering of H2O by hydrogen J. Chem. Phys. 134, 204308 (2011) Transport and dynamic properties of O2+(X2g) in Kr under the action of an electrostatic field: Single or multiple potential energy surface treatment J. Chem. Phys. 134, 194301 (2011) Additional information on J. Chem. Phys. We present an ab initio study of cold 4 He + ThO( 1 + ) collisions based on an accurate potential energy surface (PES) evaluated by the coupled cluster method with single, double, and noniterative triple excitations using an extended basis set augmented by bond functions. Variational calculations of rovibrational energy levels show that the 4 He-ThO van der Waals complex has a binding energy of 10.9 cm −1 in its ground J = 0 rotational state. The calculated energy levels are used to obtain the temperature dependence of the chemical equilibrium constant for the formation of the He-ThO complex. We find that complex formation is thermodynamically favored at temperatures below 1 K and predict the maximum abundance of free ground-state ThO(v = 0, j = 0) molecules between 2 and 3 K. The calculated cross sections for momentum transfer in elastic He + ThO collisions display a rich resonance structure below 5 cm −1 and decline monotonically above this collision energy. The cross sections for rotational relaxation accompanied by momentum transfer decline abruptly to zero at low collision energies (<0.1 cm −1 ). We find that Stark relaxation in He + ThO collisions can be enhanced by applying an external dc electric field of less than 100 kV/cm. Finally, we present calculations of thermally averaged diffusion cross sections for ThO in He gas, and find these to be insensitive to small variations of the PES at temperatures above 1 K.
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