Calculation of the Van der Waals interaction coefficients C₃ between excited state (∣6²D_3/2F>) of ¹³³C_S atoms and perfect surface of a metal in hyperfine atomic levels

By utilizing alkali atoms and perfect surface of a metal between Van der Waals (vdW) interaction and irreducible tensor method. We get analytical expression of coefficient C₃ of hyperfine levels of alkali atoms. C₃ values corresponding to hyperfine levels of ¹³³C₃ excited states (6²D_3/2 (F = 2, 3, 4, 5)) are calculated. It is also shown that, the greater the F, the larger the C₃, and the stronger the vdW interaction when z does not change, where z is the distance of an atom from the metal surface. At the same time for C₃₁ effect is produced by the electric quadrupole moment because of no significant contribution, C₃ numerical results did not meet with abnormal fluctuations. (authors)