Entropy is measured in J/K or in J/K/mol. What is the smallest value ever measured in an experiment? Google Scholar does not seem to help.
In other words, how good are scientists at measuring small entropy values?
EDIT: I found this paper containing some quite small measured entropy values at low temperature, in Table 8: D. R. Smith and F. Fickett, Low-temperature properties of silver, Journal of Research of the National Institute of Standards and Technology volume 100, page 119 (1995).
EDIT2: The answer below refers to a measurement that gave around 1000 k.
Can quantized transport experiments at ow temperature yield smaller values?