Irreducible components determining the dependence of the van der Waals coefficient C nlJM 6 ( ) on the angle θ between the interatomic and the quantisation axes of two Rb atoms in their identical Rydberg states nlJMñ | are evaluated with account of the most contributing terms of the spectral resolution for the bi-atomic Green's function. Asymptotic polynomials in powers of the Rydberg-state principal quantum number n are derived for the C 6 irreducible components. Numerical values of the polynomial coefficients are determined for Rb atoms in their n S
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