  I evaluate the thermodynamic curvature $R$ for fourteen pure fluids along
their liquid-vapor coexistence curves, from the critical point to the triple
point, using thermodynamic input from the NIST Chemistry WebBook. In this broad
overview, $R$ is evaluated in both the coexisting liquid and vapor phases. $R$
is an invariant whose magnitude $|R|$ is a measure of the size of mesoscopic
organized structures in a fluid, and whose sign specifies whether
intermolecular interactions are effectively attractive ($R<0$) or repulsive
($R>0$). I discuss five principles for $R$ in pure fluids: 1) near the critical
point, the attractive part of the interactions forms loose structures of size
$|R|$ proportional to the correlation volume $\xi^3$, and sign of $R$ negative,
2) in the vapor phase, there are instances of compact clusters of size $|R|$
formed by the attractive part of the interactions and prevented from collapse
by the repulsive part of the interactions, and sign of $R$ positive, 3) in the
asymptotic critical point regime, the $R$'s in the coexisting liquid and vapor
phases are equal to each other, i.e., commensurate, 4) outside the asymptotic
critical point regime incommensurate $R$'s may be associated with
metastability, and 5) the compact liquid phase has $|R|$ on the order of the
volume of a molecule, with sign of $R$ negative for a liquidlike state held
together by attractive interactions and sign of $R$ positive for a solidlike
state held up by repulsive interactions. These considerations amplify and
extend the application of thermodynamic curvature in pure fluids.
