Yu.G. Borkov

Third-order derivatives of the dipole moment function for the ozone molecule

The third-order contributions to the dipole moment function of ozone has been evaluated from available experimental values of the transition moment parameters for the second overtone and ternary combination vibration–rotation bands. The calculations are based on the formalism of effective dipole moment operators. The purely vibrational part of the transformed transition moment operators for three-quanta bands is presented in the form suitable for an iterative programming. It allows one to determine the values and to make the optimal choice of signs of the third derivatives of the dipole moment function using the transition moment parameters deduced from experimental spectra. The estimation of the errors have been done by an error propagation of uncertainties in anharmonicity parameters of the potential function and previously determined first- and secondorder dipole moment derivatives.

Zeeman Effect treatment in the infrared spectrum of the nitric oxide molecule

The results of experimental and theoretical study of the Zeeman splitting of the vibrational-rotational lines in the NO molecule as a function of magnetic field are presented. To record the spectrum the method of laser magnetic resonance (LMR) with using continuous wave frequency-tunable CO laser has been applied. To analyze experimental data of Zeeman splitting, the calculation procedure was developed. This procedure is based on the numerical diagonalization the matrix of the effective molecular Hamiltonian, which includes Zeeman operator corresponding to interaction an external magnetic field with a molecule.

Dependence of Zeeman splitting of spectral lines on the magnetic field magnitude for NO molecule

The paper presents an overview of experimental and theoretical results, which were obtained from the study of the dependence of Zeeman splitting of the vibrational-rotational lines of the 0–1 band of the nitric oxide molecule absorption spectra on the magnetic field magnitude. The experiments were performed at the Laboratory of Gas Lasers of P.N. Lebedev Physical Institute, Russian Academy of Sciences (FIAN). The method of laser magnetic resonance (LMR) with the use of a continuous-wave frequency-tunable CO laser were used to record the spectra. The theoretical analysis of LMR spectrograms was carried out at the Laboratory of Theoretical Spectroscopy of V.E. Zuev Institute of Atmospheric Optics, Siberian Branch, Russian Academy of Sciences (IAO SB RAS), where the numerical model was developed based on construction of the total effective Hamiltonian of the molecule accounting the interaction with an external magnetic field. The model allows calculation of LMR spectra under given conditions and description of the nonlinear dependence of splitting of rovibrational energy levels on the magnetic field magnitude. The comparison of calculated and experimental LMR spectrograms has shown that the numerical model adequately reproduces the positions of absorption peaks measured in a damped oscillating magnetic field.

Simulation of the LMR spectra in the 0–1 band of NO molecule

The results of the LMR spectra calculation in the 0-1 band of the NO molecule are presented. For the simulation of the spectra in a strong magnetic field the special numerical model was developed. This model allows one to calculate the dependence of Zeeman splitting of ro-vibrational lines of the NO molecule on the intensity of a strong magnetic field. The analysis of temporal behavior of the absorption coefficients of CO laser radiation on thirteen lines in the variable magnetic field was done.