Cumulative distributions of binary semi-major axes (top panels) and eccentricities (bottom panels) of post-encounter binaries. Solid thin lines indicate the sets with the SMBH (σn), while the thick dashed line indicates the sets in isolation (σn-i). The disc velocity dispersion for each set of curves decreases from left to right and from top to bottom. For σ ≥ 10⁻⁴, the number of highly eccentric binaries is higher in the absence of tidal field. For σ ≤ 10⁻⁵, the situation is the opposite, and encounters around the SMBH result in slightly higher eccentricities.