Figure 1
3D Projections at T = 298 Kelvin of a 5D hyperbolic paraboloid (eqns. 9, 10) where h T = T · s T and Δ C p = 0. Dimensions: ΔH, ΔS, ΔH – T·ΔS (= ΔGT), ΔH/ΔS (= Tm) and T. The Gaussian curvature K of the hyperbolic paraboloid is negative everywhere: K = – (1 + ΔS2 + ΔH2)-2. Left: Tm = ΔH/ΔS. The function Tm = ΔH/ΔS is identical in shape as Tm = ΔGT/ΔS + T; in these projections the saddle point is at {ΔH = 0; ΔS = 0; Tm = 0}. Right: ΔH/ΔS = Tm = ΔH·298 K/(ΔH – ΔG298K). The function Tm = ΔH·T/(ΔH – ΔGT) is identical in shape as Tm = ΔGT·T/(ΔH – ΔGT) + T; in these projections the saddle point is at {ΔH = 0; ΔGT = 298K = 0; Tm = T = 298 K}. The vertical central lines mark ΔH = ΔS = ΔG298K = 0; the lower half of the plots have no physical meaning (quadrants where Tm ≤ 0 Kelvin).