DWIII
2006-07-07 15:49:49 UTC
This is some minor issue that I have been wrestling with on my own for
some time now, and intensive web/newsgroup searching has come up empty.
Firstly I will go over the basics as I understand them.
Both Fahrenheit and Celsius, after some historical numerological
juggling, eventually settled their respective scales on two fixed
points: the melting point (0 degrees C; 32 degrees F) and the boiling
point (100 degrees C; 212 degrees F) of water. Exactly under what
environmental conditions, purity of water sample, etc, which these
points were practically realized is a fine detail, but not salient to
my point here.
Later, with the adoption of the Kelvin scale by SI, whose two fixed
points are taken to be absolute zero and the triple point of water,
separated by exactly 273.16 divisions, the Celsius scale was redefined
(for scientific purposes) in terms of kelvins to wit: 0.01 degrees
Celsius is now identified with the triple point at 273.16 K, and the
size of the degree Celsius is defined to be exactly equal to the Kelvin
(http://physics.nist.gov/cuu/Units/kelvin.html). Note that this
redefinition does away with the former Celsius fixed points (0, 100).
Of course, for informal everyday purposes, this redefinition makes no
practical difference; that is why the value "273.16" was chosen in the
first place: backwards compatibility. 0 degrees C and 100 degrees C
are still, as before, the respective melting and boiling points of
water within acceptable margins of error (let's say, +/- 0.02 degrees
for the boiling point (99.975 degrees C according to
http://www.lenntech.com/unit-conversion-calculator/temperature.htm)).
However, for purposes of metrology, it can no longer be claimed that
0/100 are the exact Celcius values of the melting/boiling points.
So, where does this leave Fahrenheit, as it is currently practiced in
my country (the archaic and scientifically backwards United States)?
Virtually every source I have consulted brazenly states the usual
simple (and exact) mathematical conversion between C and F (we are all
quite familiar with that), and even go so far as saying that that
well-known conversion is strictly based on the 0/32 and 100/212
melting/boiling points. However, these points are are no longer
applicable (in particular, no longer applicable to Celsius). As I said
previously, this state of affairs is fine and dandy for practical
everyday stuff (e.g. weather reports), but not for an amateur
metrologist like me.
The two obvious alternatives are (1) Fahrenheit has, in fact, been
redefined in terms of either Kelvin, or by way of the new Celsius
definition (which amounts to the same thing), thereby detatching it
from its former fixed points while I wasn't looking, and thus the usual
conversion formula is exact, as it was formerly, or (2) Fahrenheit
still retains its old fixed points of 32/212 because it has never been
officially redefined as such (to my knowledge), and thus there now
exists no exact conversion between C and F as there used to be, except
by way of modern measurement with an unavoidable margin of error.
So is it (1) or (2)? Or can we say that (3) there now exists two
separate Celsius scales in common usage: one exactly convertible to F
alone (in the US), and the other exactly convertible to K alone (in the
rest of the world)?
Also note that Russ Rowlett
(http://www.unc.edu/~rowlett/units/dictK.html) blandly states under his
entry for "kelvin (K)": "The kelvin equals exactly 1.8 degrees
Fahrenheit", which is entirely unacceptable in light of his definition
for "degree Fahrenheit (°F)": "... On this scale, the freezing point
of water (at normal sea level atmospheric pressure) turned out to be
about 32 °F and the boiling point about 212 °F. Eventually the scale
was precisely defined by these two temperatures."
I can't quite recall if NIST had ever explicitly said the Fahrenheit
was not, or no longer an acceptable unit for use with SI, which I'm
almost quite sure it isn't anyway. They don't even bother to mention
Fahrenheit on their current list of deprecated units
(http://physics.nist.gov/cuu/Units/outside.html), one way or the other,
which suggests that it was chucked outright while I wasn't looking.
And no, I don't suspect a conspiracy, either.
I'll bet Mr Nygaard knows what's going on here! :-)
DWIII
some time now, and intensive web/newsgroup searching has come up empty.
Firstly I will go over the basics as I understand them.
Both Fahrenheit and Celsius, after some historical numerological
juggling, eventually settled their respective scales on two fixed
points: the melting point (0 degrees C; 32 degrees F) and the boiling
point (100 degrees C; 212 degrees F) of water. Exactly under what
environmental conditions, purity of water sample, etc, which these
points were practically realized is a fine detail, but not salient to
my point here.
Later, with the adoption of the Kelvin scale by SI, whose two fixed
points are taken to be absolute zero and the triple point of water,
separated by exactly 273.16 divisions, the Celsius scale was redefined
(for scientific purposes) in terms of kelvins to wit: 0.01 degrees
Celsius is now identified with the triple point at 273.16 K, and the
size of the degree Celsius is defined to be exactly equal to the Kelvin
(http://physics.nist.gov/cuu/Units/kelvin.html). Note that this
redefinition does away with the former Celsius fixed points (0, 100).
Of course, for informal everyday purposes, this redefinition makes no
practical difference; that is why the value "273.16" was chosen in the
first place: backwards compatibility. 0 degrees C and 100 degrees C
are still, as before, the respective melting and boiling points of
water within acceptable margins of error (let's say, +/- 0.02 degrees
for the boiling point (99.975 degrees C according to
http://www.lenntech.com/unit-conversion-calculator/temperature.htm)).
However, for purposes of metrology, it can no longer be claimed that
0/100 are the exact Celcius values of the melting/boiling points.
So, where does this leave Fahrenheit, as it is currently practiced in
my country (the archaic and scientifically backwards United States)?
Virtually every source I have consulted brazenly states the usual
simple (and exact) mathematical conversion between C and F (we are all
quite familiar with that), and even go so far as saying that that
well-known conversion is strictly based on the 0/32 and 100/212
melting/boiling points. However, these points are are no longer
applicable (in particular, no longer applicable to Celsius). As I said
previously, this state of affairs is fine and dandy for practical
everyday stuff (e.g. weather reports), but not for an amateur
metrologist like me.
The two obvious alternatives are (1) Fahrenheit has, in fact, been
redefined in terms of either Kelvin, or by way of the new Celsius
definition (which amounts to the same thing), thereby detatching it
from its former fixed points while I wasn't looking, and thus the usual
conversion formula is exact, as it was formerly, or (2) Fahrenheit
still retains its old fixed points of 32/212 because it has never been
officially redefined as such (to my knowledge), and thus there now
exists no exact conversion between C and F as there used to be, except
by way of modern measurement with an unavoidable margin of error.
So is it (1) or (2)? Or can we say that (3) there now exists two
separate Celsius scales in common usage: one exactly convertible to F
alone (in the US), and the other exactly convertible to K alone (in the
rest of the world)?
Also note that Russ Rowlett
(http://www.unc.edu/~rowlett/units/dictK.html) blandly states under his
entry for "kelvin (K)": "The kelvin equals exactly 1.8 degrees
Fahrenheit", which is entirely unacceptable in light of his definition
for "degree Fahrenheit (°F)": "... On this scale, the freezing point
of water (at normal sea level atmospheric pressure) turned out to be
about 32 °F and the boiling point about 212 °F. Eventually the scale
was precisely defined by these two temperatures."
I can't quite recall if NIST had ever explicitly said the Fahrenheit
was not, or no longer an acceptable unit for use with SI, which I'm
almost quite sure it isn't anyway. They don't even bother to mention
Fahrenheit on their current list of deprecated units
(http://physics.nist.gov/cuu/Units/outside.html), one way or the other,
which suggests that it was chucked outright while I wasn't looking.
And no, I don't suspect a conspiracy, either.
I'll bet Mr Nygaard knows what's going on here! :-)
DWIII