Table 1 \(b_l^+(\epsilon )\) as in (92) and corresponding pressure \(p_l^+(\epsilon )\) in dependence of \(p_{\max }\) for different adsorptives and temperatures and vanishing step size h. Here the parameters \(u_{\min }=4\,{\text {kJ/mol}}\) and \(u_{\max }=24\,{\text {kJ/mol}}\) are used. \(\xi _0\) and \(p_l^+(\epsilon )\) are calculated by \(p_{\max }\) and \(b_l^+(\epsilon )\) according to equations (5) and (6). Note that for \(h=0\,{\text {kJ/mol}}\), \(b_l^+(\epsilon )\) and thus also \(p_l^+(\epsilon )\) are independent of l. \(p_l^+(\epsilon )\) can then be taken as a guide value for \(p_{\min }\). As with real measurements, pressures are given in the unit Torr

From: The numerical solution of the adsorption integral equation with Langmuir-kernel Part 1: approximations