θ(Kp=1) = 1/2, lim_{p→∞} θ = 1, dθ/dp|₀ = K (exact)

Layer 1 — Physicsin the surface-science subtree

Closed-form pins of the Langmuir isotherm at its three characteristic points. (i) Half-coverage — at the condition Kp = 1 (i.e. p = 1/K, the 'Langmuir half-pressure'), θ = (1)/(1+1) = 1/2 (canonical sympy string "1/2"). (ii) Saturation —…

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