ManDay said:
This is ridiculous. How can 1 Mol be considered an SI-BASE-UNIT although it is simply a factor
1 Mol = 6.022 * 10²³
Every attempt to explain this thorough misconception is naturally predestined to fail! I'm not looking for an explanation, neither going to discuss that - I'm looking for an EXCUSE to this absurd claim!
the excuse is that although a mole turns out to be a not-so-certain count of elements (and that count is
NA), we are
not certain precisely what that number is, because of the
real definition (not yours above) of the mole. the mole is defined to be the number of Carbon-12 (
12C) atoms that make up precisely 12 grams of mass. because, given the pre-existing definition of the gram (or kg), in terms of that definition we don't know exactly how much mass a
12C atom is, so we don't know exactly how many of those atoms make up 12 grams.
we are, by definition, anthropological beings and have chosen units that are anthropocentrically convenient. it's no accident of people (although, from the POV of the aliens on the planet Zog, it would be an accident of history in our neck of the woods) that a meter is about as big as we are. that a second is about as long as a fleeting thought. that the kg is something we can pick up and hold.
f95toli said:
I think you have misunderstood what the purpose of the SI.
Whether or not a unit is "fundamental" or not has nothing to do with it. SI is first and foremost designed to be a system of practical units that can be used to perform traceable calibrations of measurement equipment for science and industry. This is why e.g. the candela is also a base unit in the SI.
it is clear that SI defines at least 3 more "fundamental" units than are fundamental from the POV of physical quantity. i doubt that there will ever be a
"Planck mole" (if there is, i would suggest it should be the number of
1H atoms that make up a Planck mass). the Kelvin, Mole, and Candela are all
unfundamental in that sense. essentially, the Boltzmann constant, Avogadro's number, and (4 \pi)/683 watts (perhaps with some anthropometric brightness data) are all just expressions of those contrived unit definitions. or you could say the other way around; the Kelvin, mole, and candela are expressions of those constants, which are in no sense universally fundamental.
IMO, there are four fundamental dimensions of physical
"stuff": Time, Length, Mass, and Charge. SI might have defined the unit of electric current first, but since they already had a definition for the unit of time, it doesn't matter. so we human beings define units for time, length, mass, and charge (via current) completely anthropocentrically (let's put us back before 1960, when the meter was the length between two scratch marks on a platinum-iridium bar in Paris), then we go out and measure these universal parameters,
c, G, \hbar, and \epsilon_0. we could have instead, defined those values to be what seems convenient and then construct the units of time, length, mass, and charge. and we did that partially already,
c and \epsilon_0 (as a consequence of the defined
c and \mu_0) are set to defined values because of how the meter and ampere are defined. the unit time is still set arbitrarily (but it uses a nice time base now and no longer the wobbly earth) and the unit mass is still a prototype (a
thing).
So while it would make "physical" sense to use "1" as the base unit it would not be practical: there would be no way of performing traceable calibrations.
I.e. it is the same reason why we still use an artifact to define the kilogram; in theory you could just defined 1kg= a certain number of atoms of a specific isotope. However, this unit would be impossible to realize.
there
is a lot of discussion to redefine the kg away from the prototype and, similarly to the meter and
c, in such a way as to fix a dimensionful universal constant. the leading candidates are
NA and \hbar. they can redefine the kg to set one of those to a fixed constant (like is done for
c) but not both. these are competing proposals and i don't know which one will win, but i hope the watt-balance definition (that fixes \hbar) is the one that wins.