[en] The line intensities of 010101g-000011u transition of linear tetratomic molecule C₂H₂ at temperatures from 2 K to 5000 K were calculated with the theory of molecular spectra. The effecting of nuclear-spin and centrifugal distortion constants were calculated and discussed. The conclusions show that the nuclear-spin becomes important only at very low temperatures, below 10 K for C₂H₂, but its effecting increases rapidly as the temperature is lowered further. When the centrifugal distortion is considered, the effecting is significant even at moderate temperature, affecting the line intensities by 0.03% at 500 K and by 0.81% at 5000 K. The results are of significance for the accurate calculation of molecular line intensities at different temperatures. (authors)

[en] The total internal partition sums (TIPS) are calculated at the temperature up to 6000 K for ¹²C¹⁶O₂. Using the calculated partition functions, we produce the line intensities of ν₃ band of ¹²C¹⁶O₂ at several high temperatures. The results show that the calculated line intensities are in very good agreement with those of HITRAN database at the temperature up to 3000 K, which provides a strong support for the calculations of TIPS and line intensities at high temperature. Then the calculation is extended to further high temperature, and the simulated spectra of ν₃ band of ¹²C¹⁶O₂ at 5000 and 6000 K are reported.

[en] The total internal partition sums were calculated in the product approximation at temperatures up to 5000 K for the asymptotic asymmetric-top HO₂ molecule. The calculations of the rotational partition function and the vibrational partition function were carried out with the rigid-top model and in the harmonic oscillator approximation, respectively. Our values of the total internal partition sums are consistent with the data of HITRAN database with -0.14% at 296 K. Using the calculated partition functions, we have calculated the line intensities of v₂ band of HO₂ at several high temperatures. The results showed that the calculated line intensities are in very good agreement with those of HITRAN database at temperatures up to 3000 K, which provides a strong support for the calculations of partition functions and line intensities at high temperatures. Then we have extended the calculation to higher temperatures. The simulated spectra of v₂ band of the asymptotic asymmetric-top HO₂ molecule at 4000 and 5000K are also obtained

[en] The line intensities of 0010-0000 transition of the symmetric-top PH₃ molecule at several temperature were calculated by directly calculating the partition functions and regarding the rotationless transition dipole moment squared as a constant. The calculated values of the total internal partition sums (TIPS) are consistent with the data of HITRAN database with -0.075% at 296 K. The calculated line intensities data at 1000 K and 3000 K are also in excellent agreement with the data in HITRAN database, which provide a strong support for the calculations of partition function and line intensity at high temperature. Then we extended the calculation to higher temperature. The line intensities and simulated spectra of υ₃ band of the symmetric-top PH₃ molecule at 4000 and 5000 K were reported. The results are of significance for the studying of the molecular high-temperature spectrum including experimental measurements and theoretical calculation. (authors)

[en] The line intensities of 001-000 transition of the asymptotic asymmetric-top O₃ molecule at several temperatures are calculated by directly calculating the partition functions and regarding the rotationless transition dipole moment squared as a constant. The calculated values of the total internal partition sums (TIPS) are consistent with the data of HITRAN database with -0.61% at 296 K. The calculated line intensity data at 500 K and 3000 K are also in excellent agreement with the data in HITRAN database with less than 0.659% and 5.458% at 500 K and 3000 K, which provide a strong support for the calculations of partition function and line intensity at high temperature. Then we extend the calculation to higher temperatures. The line intensities and simulated spectra of ν₃ band of the asymptotic asymmetric-top O₃ molecule at 4000 and 5000 K are reported. The results are of significance for the studying of the molecular high-temperature spectrum including experimental measurements and theoretical calculations

[en] In this paper, the ab initio quantum mechanics method is used for a further investigation of the interactional potential energy functions of He atom and O₂. By means of different methods and basis sets, the energy data in the space have been calculated. Finally the accurate He-02 interactional potential energy functions are obtained by using QCISD(T)/6-311 + + G (3df, 2pd) with Boy and Bernardi's Full Couterpoise to eliminate the basis set superposition error (BSSE). The calculated differential cross sections of He-O₂ collision are in good agreement with the experiment data. The rule of differential cross sections of He-O₂ collision at different collision energies has been derived. (authors)

[en] We perform a global analysis of the new combined data on inclusive structure functions in electron-proton scattering at small value of Bjorken x (x ≤ 0.01) in the framework of the color glass condensate. The new combined HERA data at small-x are studied by an analytic proton structure function. It is shown that the theoretical results of the analytic proton structure function are in agreement with the new combined experimental data. The longitudinal proton structure function is investigated with the analytic expression. It is demonstrated that our approach shows a very good description of the longitudinal structure function experimental data, which is evidence showing the saturation effect is a domination mechanism during the rapidity evolution of the gluon density at high energy. (authors)