Interaction of sodium atoms with molecular nitrogen in the upper atmosphere of the earth

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Abstract

In recent years numerous satellite data on the yellow glow of the sodium layer (located at an altitude of 85–95 km from the Earth’s surface) have become available. Studies of optical activity at sodium D-line frequencies are necessary for a better understanding of the plasma-chemical processes occurring in the mesosphere. It should be taken into account that these processes occur in a neutral environment, where the molecular nitrogen is general component. In this work the analytical numerical expressions for the elements of 3´3 matrix of interaction between Na(2Pj) and N2(X 1Sg+) and interaction potential between Na(2S1/2) and N2(X 1Sg+) were obtained at medium and large interpartical distances that determine radiation lines collisional broadening. The exchange, quadrupole–quadrupole, dispersion, and spin–orbit interactions were taken into account. Exchange interaction between the valence Na electron and N2(X 1Sg+) molecule was described by the local Hellman pseudopotential. The effect of the overlap between Na(2S1/2, 2Pj) and N2(X 1Sg+) electron densities was taken into account evaluating long-range quadrupole–quadrupole and dispersion interactions.

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About the authors

S. Y. Umanskii

Semenov Federal Research Center for Chemical Physics, Russian Academy of Sciences

Email: golubkov@chph.ras.ru
Russian Federation, Moscow

S. O. Adamson

Semenov Federal Research Center for Chemical Physics, Russian Academy of Sciences

Email: golubkov@chph.ras.ru
Russian Federation, Moscow

A. S. Vetchinkin

Semenov Federal Research Center for Chemical Physics, Russian Academy of Sciences

Email: golubkov@chph.ras.ru
Russian Federation, Moscow

G. V. Golubkov

Semenov Federal Research Center for Chemical Physics, Russian Academy of Sciences; National Research Center “Kurchatov Institute”

Email: golubkov@chph.ras.ru
Russian Federation, Moscow; Moscow

M. A. Deminskii

Kintech Lab

Email: golubkov@chph.ras.ru
Russian Federation, Moscow

O. A. Olkhov

Semenov Federal Research Center for Chemical Physics, Russian Academy of Sciences

Email: golubkov@chph.ras.ru
Russian Federation, Moscow

I. G. Stepanov

Semenov Federal Research Center for Chemical Physics, Russian Academy of Sciences

Email: golubkov@chph.ras.ru
Russian Federation, Moscow

Y. A. Chaikina

Semenov Federal Research Center for Chemical Physics, Russian Academy of Sciences

Email: golubkov@chph.ras.ru
Russian Federation, Moscow

A. I. Shushin

Semenov Federal Research Center for Chemical Physics, Russian Academy of Sciences

Email: golubkov@chph.ras.ru
Russian Federation, Moscow

M. G. Golubkov

Федеральный исследовательский центр химической физики им. Н.Н. Семёнова Российской академии наук

Author for correspondence.
Email: golubkov@chph.ras.ru
Russian Federation, Москва

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2. Fig. 1. The coordinate systems K(xyz) and K1(x1y1z1) used in constructing the wave functions of the correct symmetry of the Na–N2 system corresponding to the LM set. Here R is the vector between the center of mass of the N2 molecule and the nucleus of the Na atom, r and r1 are the radius vectors of the valence electron of the Na atom in the coordinate systems K and K1, respectively; Q is the angle between the vector R and the direction of the axis of the N2 molecule.

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3. Fig. 2. Coordinate systems K0(x0y0z0), K1(x1y1z1) and K2(x2y2z2) used in calculating the matrix elements and . Here R is the vector between the center of mass of the N2 molecule and the nucleus of the Na atom; r0, r1 and r2 are the radius vectors of the valence electron of the Na atom in the coordinate systems K0, K1 and K2, respectively; Q is the angle between the vector R and the direction of the axis of the N2 molecule.

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