plotG(vx,vy,char,size,color)

8b8a4d03-4ed9-49fb-9283-79d6b38daa84 67 4 5 decimal

&[DATE] &[TIME] - &[FILENAME]

eit90 . . . Thiele unary interpolation

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4 appVersion 0.98.6179.21440 ≡

plotG(vx,vy,char,size,color)

vx vy char size color plotG n vx length : plot vx 1 el vy 1 el char size color augment : i 2 n range plot plot vx i el vy i el char size color augment stack : for plot 41 line :

eit90 0.00119007 259.3467 - 0.00844974 248.5939 - 0.09171804 218.7916 - 0.21585975 189.3442 - 0.84414211 38.8344 - 1 0.01 1.11813889 29.7646 1.60980185 156.5985 1.89279768 231.928 2.5689173 419.527 3.3760086 660.323 4.28642053 961.78 122 mat :

X Y Δ Thiele ε 1018 -^: n X rows : i 1 n range M i 1 el Y i el : for j 2 n range i j n range dM M i j 1 - el M j 1 - j 1 - el - : dM dM abs ε < ε M i j el X i el X j 1 - el - dM / : if : 21 line for for i 1 n range c i 1 el X i el : c i 2 el M i i el : 21 line for Δ 0 ≡ c M if 61 line :

select the support points XY eit90 :

length Thiele j XY rows : 12

Thiele on length of support points 'j' K X x Cfr N j 1 + el K j 1 + el : c j el N j el : a j el K j el : jj j 1 - (0 range c jj el a jj 1 + el : a jj el K jj el x X jj el - c jj el / + : 21 line for a 1 el 51 line :

symbolic expansion of Thiele continued fraction algo style K X x Cfr K 1 el x X 1 el - K 2 el x X 2 el - K 3 el x X 3 el - K 4 el x X 4 el - K 5 el x X 5 el - K 6 el x X 6 el - K 7 el x X 7 el - K 8 el x X 8 el - K 9 el x X 9 el - K 10 el x X 10 el - K 11 el x X 11 el - K 12 el / + / + / + / + / + / + / + / + / + / + / +

support points X XY 1 col : Y XY 2 col : 21 sys

recast the Cf on the system  [K,X,x] x Cf K X x Cfr :

Thiele K's coefficients
@ support points X X Y 0 Thiele 0.00119007 259.3467 - 0.00844974 0.00067514228852 0.09171804 53.4772375839913 0.21585975 0.003733328341622 0.84414211 3403.01250070159 - 1 0.001329711291321 - 1.11813889 1306.02016026314 1.60980185 0.00011088951151 1.89279768 3775.58594116103 - 2.5689173 0.005347661181306 3.3760086 509.757453238417 - 4.28642053 0.00315302483064 - 122 mat

Thiele K's continued fraction K X Y 0 Thiele 2 col :

K K 10 round vectorize : 259.3467 - 0.0006751423 53.477237584 0.0037333283 3403.0125007016 - 0.0013297113 - 1306.0201602631 0.0001108895 3775.585941161 - 0.0053476612 509.7574532384 - 0.0031530248 - 121 mat

L H N xd U 0 : dx H L - N / : i 1 N 1 + range U i el L dx - (dx i * + : for U 41 line :

L 0.00119007 : H 4.28642053 : N 1221 : 13 mat U L H N xd : 21 line

Thiele x U : i 1 x rows range v i el x i el Cf eval : for x v augment 31 line :

Export data table for
user who don't want
to run 'Thiele' and
simply interpolate. Thiele Thiele eval :

x λ 1 0.00119007 x ≤ (x 5 ≤ (& cases :

vx XY 1 col : vy XY 2 col : 12 mat data vx vy . 14 black plotG : 21 line

Δ i 1 X rows range δ i el Y i el X i el Cf - : for Y δ augment 21 line :

°C 1 :

Ω 2.25 :

U Ω Cf : °C 329.62

5 Cf °C 1229.8

user 0102431024 Ω U 32 mat :

BIPM 545.536 3 Cf 545.558

user x Cf x λ * data 3 1 sys

Ω U 12 mat °C 2.25 329.62 12 mat

0.00119007 259.3467 - 0.00844974 248.5939 - 0.09171804 218.7916 - 0.21585975 189.3442 - 0.84414211 38.8344 - 1 0.01 1.11813889 29.7646 1.60980185 156.5985 1.89279768 231.928 2.5689173 419.527 3.3760086 660.323 4.28642053 961.78 122 mat

Δ °C 259.3467 - 0.0000 248.5939 - 0.0000 218.7916 - 0.0000 189.3442 - 0.0000 38.8344 - 0.0000 0.0100 0.0000 29.7646 0.0000 156.5985 0.0000 231.9280 0.0000 419.5270 0.0000 660.3230 0.0000 961.7800 0.0000 122 mat

Ω 0.0375 : user Ω 300 - Ω Ω Cf 0 Ω Cf 32 mat : 21 sys

user x Cf x λ * data 3 1 sys

subcryo ▼ comparative 0.0002 ±

218.7916 - 248.5939 - 259.3467 - 31 mat

GR300 ... -229.8112
GR300 ... -252.5818
GR300 ... -256.6057 0.05 Cf 0.005 Cf 0.0025 Cf 31 mat 229.8113 - 252.5816 - 256.6056 - 31 mat

Ω Ω Cf 12 mat °C 0.0375 233.6927 - 12 mat

Thiele Cf(x Derivative Disabled

x D x Cf x diff :

j 3 :

x D x λ * X 3 el 0 + 100 red 1 5 mat 2 1 sys

12 min to calculate i 1 X rows range d i el X i el D eval : for

d 2316.2333 978.7654 248.0339 233.6201 247.59 250.7438 252.9925 263.0992 269.3312 286.1367 311.8474 353.1829 121 mat

http://bibli.ec-lyon.fr/exl-doc/patrimoine/11944V01/11944V01.pdf On ne pourra jamais déclarer les Wr du thermomètre théorique à résistance de platine; d'une part inférant à l'incertitude des mesures, d'autre part concluant le canevas résolvant. En d'autres mots: les Wr ne pourront que refléter la coïncidence résolvante. Dans les faits, le thermomètre théorique à résistance de platine n'existe pas par privation de la nature de se reproduire elle-même exactement et infiniment au grès de la transformation de l'homme. La nature ne donne le platine que sous forme de pépite ou par extraction. Le Créateur a donné la température [état et sensation physique] mais pas le thermomètre.

◄ BIPM 78th meeting 1989 ◄

Fixed Points EIT90 ... extrapolated

EIT90 273.15 - 268.935 - 259.3467 - 248.5939 - 218.7916 - 189.3442 - 38.8344 - 0.01 29.7646 156.5985 231.928 419.527 660.323 961.78 1064.43 1084.5 161 mat_NBP Helium TP Hydrogen TP Neon TP Oxygen TP Argon TP Mercury TP Water MP Gallium FP Indium FP Tin FP Zinc FP Aluminum FP Silver FP Gold FP Copper 161 mat 12 mat ≡

eit90 0.00006231 273.15 - 0.00015549 268.935 - 0.00119007 259.3467 - 0.00844974 248.5939 - 0.09171804 218.7916 - 0.21585975 189.3442 - 0.84414211 38.8344 - 1 0.01 1.11813889 29.7646 1.60980185 156.5985 1.89279768 231.928 2.5689173 419.527 3.3760086 660.323 4.28642053 961.78 4.57255961 1064.43 4.62715523 1084.5 162 mat :

◄ extrapolated

NOTES ... The 4 extrapolated points were obtained from solving the Dual Maple osculating. They must be certified. i.e: given as is as eit9o. Osculating XFR is jmG unpublished MCD 11.

◄ extrapolated

Calibrate a user range
[-200 ... 500 °C] range x Cf 200 + 0 ≡ x 0.1 0.2 solve x Cf 500 - 0 ≡ x 2.5 3 solve 21 mat : 0.17032295 2.8463443 21 mat

x λ 1 range 1 el x ≤ (x range 2 el ≤ (& cases :

data x Cf x λ * 2 1 sys

2.9578 Cf 532.97

◄  BIPM... ► Thiele  532.97 532.95

NOTES to Industrial Users ... 1. Consider the XTR is a [4 ...mA]and the SPRT is a robust industrial immersion style. 2. It is necessary and sufficient to measure the reading @ the triple point [0.01 °C]. 3. Add this value to "Unary eit90", run Thiele ... plug X,K in ► °C(Ω). 4. The leak current of XTR through sensor has small effect on the reading. 5. You can expect ± 0.01 °C ... Typical Rosemount

Ω 2.64 - (1.64 / 25 Ω * 66 - 41 / ≡

D 439.932854 472.418020 37.684494 7.472018 2.920828 0.005184 0.963864 - 0.188732 - 0.191203 0.049025 101 mat :

BIPM  78th meeting 1989 Ω T°C D 1 el D i el Ω 2.64 - (1.64 / (i 1 -^* i 210 sum + :

some comparative results
each uknown uncertainty. 2.9578 T°C 0.84414211 T°C 0.84414211 Cf 2.9578 Cf 41 mat 532.9518 38.8348 - 38.8344 - 532.9727 41 mat

eit90 vx vy . 12 black plotG : x λ 1 0.84414211 x ≤ (x 4.28642053 ≤ (& cases : x th 1 0.00119007 x ≤ (x 5 ≤ (& cases : 31 sys

4.28642053 T°C 4.28642053 Cf 21 mat 961.7801 961.7800 21 mat

3.3760086 T°C 3.3760086 Cf 21 mat 660.3231 660.3230 21 mat

x T°C x λ * x Cf x th * eit90 3 1 sys

2.5689173 T°C 2.5689173 Cf 21 mat 419.5270 419.5270 21 mat

x T°C x Cf - ( x λ * 2.5689173 0 + 40 red 1 5 mat 0.84414211 0 + 40 red 1 5 mat 3 1 sys

BIPM Thiele eit90 31 sys

B 0.183324722 0.240975303 0.209108771 0.190439972 0.142648498 0.077993465 0.012475611 0.032267127 - 0.075291522 - 0.056470670 - 0.076201285 0.123893204 0.029201193 - 0.091173542 - 0.001317696 0.026025526 161 mat :

D 439.932854 472.418020 37.684494 7.472018 2.920828 0.005184 0.963864 - 0.188732 - 0.191203 0.049025 101 mat :

Low range Wr T B 1 el B i el Wr 16 / (^0.65 - 0.35 / (i 1 -^* i 216 sum + :

High range Ω T°C D 1 el D i el Ω 2.64 - (1.64 / (i 1 -^* i 210 sum + :