Just look up the temperature coefficients of resistance and thermal expansion of copper. I'm not going to bother working out the decimal places but you are probably going to need jaw positioning accuracy in the nm range and hold the temperature within the mK range to achieve those resolutions.
You are overcomplicating things. This isn't a NASA lab.These are standard measurements for this type of tweezer. The LCR Pro1 Plus model is an upgraded version of the LCR Pro1, specifically enhanced for the nanohenry range.
I was missing a 3 nH inductor, but now I can transfer it to the test board.
As for resolution, we should keep things in perspective—I notice some people getting a bit worked up about it. For me, a single digit after the decimal point is sufficient. If the display shows 2.9 nH or 3.1 nH, that is enough to gauge the inductance value.
The UT622C is even simpler in this regard; it displays 0.003 uH without additional digits. This corresponds to its resolution of 0.001 uH, or 1 nH.
I am not familiar with other tweezers that measure with a resolution of 0.01–0.001 nH, so I cannot compare nanohenry-range measurements with other devices. I hope such models appear in the future, perhaps if the Chinese brands we know develop a more advanced LCR tweezer with improved nanohenry capabilities.