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A systematic modification of the entropy trajectory $S_m(T)$ is observed atvery low temperature in magnetically frustrated systems as a consequence of theconstraint $S_m\geq 0$ imposed by the third law of thermodynamics. The lack ofmagnetic order allows to explore some unusual thermodynamic properties bytracing the physical behavior of real systems. The most relevant findings are:i) a common $C_m/T|_{T\to 0} \approx 7$\,J/molK$^2$ 'plateau' in at least fiveYb-based very-heavy-fermions VHF compounds; ii) quantitative and qualitativedifferences between VHF and standard non-Fermi-liquids. iii)Entropy-bottlenecks governing the change of $S_m(T)$ trajectories in acontinuous transition into alternative ground states that exhibits third ordercharacteristics. An empirical analysis of the possible $S_m(T\to 0)$dependencies according to the $\partial ^2 S_m/\partial T^2$ derivative is alsopreformed. Altogether, this work can be regarded as an empirical application ofthe third law of thermodynamics.

The role of the entropy in the ground state formation of magnetically frustrated systems within their quantum critical regime