Determination method of the isotopic ratio 18O/16O of the water content in wines
RESOLUTION OENO 2/96
DETERMINATION METHOD OF THE ISOTOPIC RATIO 18O/16O OF THE WATER CONTENT IN WINES
THE GENERAL ASSEMBLY,
IN VIEW of article 5, paragraph 4 of the International Convention for the Unification of Methods of Analysis and Appreciation of Wine of 13 October 1954,
ON THE PROPOSAL of the Sub-Commission of the Methods of Analysis and Wine Appreciation,
DECIDES:
To include the following method in Appendix A of the Compendium of International Methods of Wine Analysis:
Determination method for isotopic ratio 18O/16O of water content in wines - Description of the method and inter-laboratory study
I. Description of the method
1. Method objective:
The objective of the present method is to measure the isotopic ratio 18O/16O of waters of different origines. The isotopic ratio 18O/16O can be expressed in deviation δ‰ in ratio to the value of isotopic ratio of the international reference V.SMOW :
2. Principle:
The isotopic ratio 18O/16O is determined by mass spectrometry of isotopic ratios (MSIR) from ionic currents m/z 46 (12C16O18O) et m/z 44 (12C16O2) produced by carbon dioxide obtained after an exchange with the water in wine according to the reaction :
C16O2+ H218O C16O18O + H216O |
The carbon dioxide in the gaseous phase is used for analysis.
3. Reagents:
- Carbon dioxide for analysis
- SMOW (Standard Mean Ocean Water)
- GISP (Greenland Ice Sheet Precipitation)
- SLAP (Standard Light Arctic Precipitation)
- Reference water specific to the laboratory carefully standardised in relation to the reference sample of the International Agency of Atomic Energy in Vienna (IAEA).
4. Laboratory equipment:
- Mass spectrometer of isotopic ratios with an internal repeatability of 0.05‰.
- Triple collector for simultaneous recording of ions m/z 44, 45 and 46 or, by default, a double collector for measuring ions m/z 44 and 46
- Thermostated system (± 0.5°C) to carry out the equilibration between CO2 and the water content in wine.
- Vacuum pump able to reach an internal pressure of 0.13 Pa.
- Phials for samples having 15 ml volume and a capillary annex tube with an interior diameter of about 0.015 mm.
- Eppendorf pipette with plastic throw away cone.
5. Experimental determinations:
5.1. Manuel method
Operational mode of the equilibration method
Introduction of the sample
- * Take the Eppendorf pipette at the fixed volume of 1.5 ml, adapt a cone and pump the liquid to be analysed in order to insert it in a balloon flask. Then, place silicon grease around the neck of the balloon flask and adapt ther balloon flask to the valve while verifying that it is tightly shut.
- * Repeat the operation for each balloon flask on the work ramp while introducing the laboratory’s reference water into one of the balloons.
Degasing of the ramp
The two ramps are cooled down with liquid nitrogen, then the whole system is purged up to 0.1 mm Hg by opening the valves.
Then, shut the valves off and let it all heat up. The degasing cycle is repeated until there is no more pressure variation.
Equilibration of the water and the
Cool the work ramps to - 70°C (Liquid nitrogen and alcohol mix) to freeze the water and put it all in a vacuum. After stabilisation of the vacuum, isolate the ramp by actioning the valve and purge the introduction system. Insert the gaseous
into the work ramp and, after having isolated it from the rest of the system, introduce the ramp in a thermostated bath at 25°C (±0.5°C) during 12 hours (one night). To optimise the necessary time for equilibration, it is advised to prepare the samples at the end of the day and let the balance set itself during the night.
Transfer of the exchanged in the measuring cells
A sample holder which supports as many measuring cells as balloon flasks containing exchanged is adapted on the empty line next to the work ramp. The empty cells are carefully purged and the exchanged gases contained in the ballons are transferred one after the other, into the measuring cells which have been cooled by liquid nitrogen. Then, let the measuring cells heat up at room temperature.
5.2. Use of an automatic exchange apparatus:
In order to carry out the equilibration, sample phials are filled with, either 2 ml of wine or 2 ml of water (laboratory work reference) and cooled down to -18°C. The sample slides containing the frozen products are adapted to the equilibration system and, after having created a vacuum in the system, carbon dioxide is introduced at a pressure of 800 hPa.
The balance is reached at a temperature of 22 ± 0.5°C after a minimum period of 5 hours and with moderate agitation. Since the equilibration duration depends on the phial's geometry, the optimum duration should be determined first for the system used.
Carbon dioxide contained in the phial's is then transferred into the introduction chamber of the mass spectrometer by a capillary tube and the measure is carried out according to a specific protocol for each kind of equipment.
6. Calculation and expression of the results :
The relative difference ’ of the ratio intensities of ions m/z 46 and 44 (I46,I44) between the sample and the reference is expressed in ‰ by the means of the following relation:
The 18O content of the sample compared to the reference V.SMOW on the V. SMOW-SLAP scale, is given by the relation :
The value accepted for SLAP is equal to -55.5‰ compared to V.SMOW. The isotopic ratio of reference must be determined after each series of ten measures on unknown samples.
7. Fidelity :
- the repeatability (r) is equal to 0.24‰
- the reproducibility (R) is equal to 0.50‰
BIBLIOGRAPHY
- Moussa I.
OIV, FV n°915, (1992), 1937/130592
Recherche du mouillage dans les vins par spectrométrie de masse des rapports isotopiques (SMRI).
- Martin G.J., Zhang B.L., Day M. and Lees M.
OIV, F.V., n°917, (1993), 1953/220792
Authentification des vins et des produits de la vigne par utilisation conjointe des analyses élémentaire et isotopique.
- Zhang B.L., F. Fourel, N. Naulet et G.J. Martin
OIV, F.V. n° 918, (1992), 1954/220792
Influence de l’expérimentation et du traitement de l’échantillon sur la précision et la justesse des mesures des rapports isotopiques (D/H) et (18O/16/O).
- Förstel H.
OIV, FV n° 919, (1992), 1955/220792
Projet de description d’une méthode : variation naturelle du rapport des isotopes 16O et 18O dans l’eau comme méthode d’analyse physique du vin en vue du contrôle de l’origine et de l’addition d’eau.
- Martin G.J., Förstel H., Moussa I.
OIV, FV n° 1006, (1995), 2268/240595
La recherche du mouillage des vins par analyse isotopique 2H et 18O.
- Martin G.J.
OIV, FV n° 1018, (1996), 2325/300196
Recherche du mouillage des vins par la mesure de la teneur en 18O de l’eau des vins.
- Martin G.J. et Lees M.
OIV, FV n° 1019, 2326/300196
Détection de l’enrichissement des vins par concentration des moûts au moyen de l’analyse isotopique 2H et 18O de l’eau des vins.
- Craig H., 1957
Isotopic standards for carbon and oxygen and correction factors for mass spectrometric analysis of carbon dioxide.
Geochim. Cosmochim. Acta, 12, 133-149
- Craig H., 1965
Isotopic variations in meteoric waters.
Science, 133, 1702-1703
- Gonfiantini R., 1978
Standards for stable isotope measurements in natural compounds
Nature, 271, 534-536
- Guidelines for Collaborative Study Procedures,
1989, J. Assoc. Off. Anal. Chem., 72, 694-704.
- Pearson E.S. and Hartley H.O., 1976
Biometrika Tables for Statisticians, 3d ed. Cambridge University Press, Vol. 1 Ch.16.
- SLAP
Standard Light Antartic Precipitation
Disponible à l’Agence Internationale de l’Energie Atomique, Vienne, Autriche
- V.SMOW
Vienna Standard Mean Ocean Water
Disponible à l’Agence Internationale de l’Energie Atomique, Vienne, Autriche
ANNEX
Not to be published in the Compendium but will have to be published in the O.I.V. Bulletin
II. COLLABORATIVE INTER-LABORATORY STUDY:
1. Participants:
The inter-laboratory study was carried out with the participation of fourteen laboratories from Germany, France, Italy, the Netherlands, United Kingdom and Switzerland.
2. Samples:
Samples 1 and 2: Local tap water (2 identical samples)
Sample
- 3: White wine A
- 4: Red wine B + 20% water
- 5: Red wine B
- 6: White wine A + 3% water
- 7: White wine A + 7% water
- 8: Red wine B + 5% water
- 9: Red wine B + 10% water
- 10: White wine A + 15% water
3. Number of iterations:
Three determinations were carried out on each sample.
4. Statistical evaluation of the results corresponding to the ISO 5725:1986 standard
4.1. Maximum variance test
The Cochran test is used to determine if one laboratory's variance measures is significantly greater than an other laboratory.
4.2. Test on the average:
The Dixon test in two parts allows to verify if the weakest or strongest average can be considered as abnormal.
5. Results:
The results are shown in the adjoining tables. In laboratories 8, 11 and 12 several abnormal values appeared which have been excluded from repeatability r and from reproducibility R calculation.
SAMPLE 1
Lab. N° |
1 |
2 |
3 |
n |
|
s |
|
1 |
-8,29 |
-8,33 |
-8,36 |
3 |
-8,324 |
0,0356 |
0,0013 |
2 |
-7,96 |
-7,67 |
-7,82 |
3 |
-7,817 |
0,1465 |
0,0215 |
*3 |
-8,64 |
-8,24 |
-8,76 |
3 |
-8,546 |
0,2697 |
0,0727 |
4 |
-8,29 |
-8,22 |
-8,30 |
3 |
-8,270 |
0,0436 |
0,0019 |
5 |
-8,27 |
-8,13 |
-8,26 |
3 |
-8,220 |
0,0781 |
0,0061 |
6 |
-8,20 |
-8,21 |
-8,23 |
3 |
-8,213 |
0,0153 |
0,0002 |
7 |
-8,25 |
-8,23 |
-8,30 |
3 |
-8,260 |
0,0361 |
0,0013 |
*8 |
-8,61 |
-8,47 |
-8,52 |
3 |
-8,531 |
0,0726 |
0,0053 |
9 |
-8,29 |
-8,29 |
-8,31 |
3 |
-8,295 |
0,0103 |
0,0001 |
10 |
-8,25 |
-8,24 |
-8,40 |
3 |
-8,297 |
0,0856 |
0,0073 |
*11 |
-9,12 |
-9,19 |
-9,40 |
3 |
-9,237 |
0,1457 |
0,0212 |
*12 |
-7,64 |
-7,82 |
-7,97 |
3 |
-7,810 |
0,1652 |
0,0273 |
13 |
-7,96 |
-8,06 |
-7,97 |
3 |
-7,999 |
0,0541 |
0,0029 |
14 |
-8,30 |
-8,20 |
-8,30 |
3 |
-8,267 |
0,0577 |
0,0033 |
= -8,2‰
= 0,068‰
r = 0,19‰
= 0,171‰
R = 0,48‰
SAMPLE 2
Lab. N° |
1 |
2 |
3 |
n |
|
s |
|
1 |
-8,37 |
-8,33 |
-8,38 |
3 |
-8,359 |
0,0257 |
0,0007 |
2 |
-7,85 |
-8,16 |
-8,08 |
3 |
-8,032 |
0,1600 |
0,0256 |
3 |
-8,29 |
-7,96 |
-8,30 |
3 |
-8,184 |
0,1943 |
0,0378 |
4 |
-8,34 |
-8,30 |
-8,28 |
3 |
-8,307 |
0,0306 |
0,0009 |
5 |
-8,26 |
-8,19 |
-8,22 |
3 |
-8,223 |
0,0351 |
0,0012 |
6 |
-8,34 |
-8,26 |
-8,31 |
3 |
-8,303 |
0,0404 |
0,0016 |
7 |
-8,22 |
-8,29 |
-8,29 |
3 |
-8,267 |
0,0404 |
0,0016 |
*8 |
-8,35 |
-8,59 |
-8,51 |
3 |
-8,485 |
0,1246 |
0,0155 |
9 |
-8,29 |
-8,30 |
-8,16 |
3 |
-8,252 |
0,0766 |
0,0059 |
10 |
-8,27 |
-8,28 |
-8,03 |
3 |
-8,196 |
0,1412 |
0,0199 |
*11 |
-9,13 |
-9,31 |
-9,26 |
3 |
-9,233 |
0,0929 |
0,0086 |
*12 |
-7,57 |
-7,90 |
-8,30 |
3 |
-7,923 |
0,3656 |
0,1336 |
13 |
-7,97 |
-8,07 |
-7,98 |
3 |
-8,002 |
0,0544 |
0,0030 |
14 |
-8,20 |
-8,30 |
-8,30 |
3 |
-8,267 |
0,0577 |
0,0033 |
= -8,22‰
= 0,096‰
r = 0,27‰
= 0,136‰
R = 0,38‰
SAMPLE 3
Lab. N° |
1 |
2 |
3 |
n |
|
s |
s2 |
1 |
-1,69 |
-1,61 |
-1,56 |
3 |
-1,622 |
0,0661 |
0,0044 |
2 |
-1,49 |
-1,30 |
-1,51 |
3 |
-1,433 |
0,1175 |
0,0138 |
3 |
-1,78 |
-1,69 |
-1,55 |
3 |
-1,674 |
0,1120 |
0,0125 |
4 |
-1,52 |
-1,49 |
-1,41 |
3 |
-1,473 |
0,0569 |
0,0032 |
5 |
-1,47 |
-1,43 |
-1,48 |
3 |
-1,460 |
0,0265 |
0,0007 |
6 |
-1,33 |
-1,26 |
-1,22 |
3 |
-1,270 |
0,0557 |
0,0031 |
7 |
-1,72 |
-1,76 |
-1,71 |
3 |
-1,730 |
0,0265 |
0,0007 |
*8 |
-1,98 |
-1,87 |
-1,53 |
3 |
-1,791 |
0,2336 |
0,0546 |
9 |
-1,54 |
-1,54 |
-1,45 |
3 |
-1,510 |
0,0557 |
0,0031 |
10 |
-1,64 |
-1,60 |
-1,60 |
3 |
-1,612 |
0,0269 |
0,0007 |
*11 |
-3,64 |
-2,74 |
-3,12 |
3 |
3,167 |
0,4518 |
0,2041 |
*12 |
-1,50 |
-1,95 |
-2,13 |
3 |
-1,860 |
0,3245 |
0,1053 |
13 |
-1,33 |
-1;40 |
-1,36 |
3 |
-1,362 |
0,0384 |
0,0015 |
14 |
-1,80 |
-1,80 |
-1,70 |
3 |
-1,767 |
0,0577 |
0,0033 |
= 1,54‰
= 0,065‰
r = 0,18‰
= 0,165‰
R = 0,46‰
SAMPLE 4
Lab. N° |
1 |
2 |
3 |
n |
|
s |
|
1 |
3,37 |
3,51 |
3,29 |
3 |
3,388 |
0,1077 |
0,0116 |
2 |
3,82 |
3,64 |
4,07 |
3 |
3,845 |
0,2185 |
0,0477 |
3 |
3,67 |
3,98 |
3,92 |
3 |
3,856 |
0,1627 |
0,0265 |
4 |
3,59 |
3,64 |
3,63 |
3 |
3,620 |
0,0265 |
0,0007 |
5 |
3,71 |
3,78 |
3,74 |
3 |
3,743 |
0,0351 |
0,0012 |
6 |
3,46 |
3,33 |
3,37 |
3 |
3,387 |
0,0666 |
0,0044 |
7 |
3,30 |
3,36 |
3,42 |
3 |
3,360 |
0,0600 |
0,0036 |
*8 |
3,18 |
3,29 |
3,22 |
3 |
3,231 |
0,0564 |
0,0032 |
9 |
3,51 |
3,54 |
3,56 |
3 |
3,538 |
0,0260 |
0,0007 |
10 |
3,57 |
3,39 |
3,61 |
3 |
3,523 |
0,1149 |
0,0132 |
*11 |
2,00 |
1,93 |
2,07 |
3 |
2,000 |
0,0700 |
0,0049 |
*12 |
2,69 |
2,76 |
2,60 |
3 |
2,683 |
0,0802 |
0,0064 |
13 |
3,80 |
3,63 |
3,78 |
3 |
3,739 |
0,0918 |
0,0084 |
14 |
3,50 |
3,40 |
3,40 |
3 |
3,433 |
0,0577 |
0,0033 |
= 3,59‰
= 0,106‰
r = 0,30‰
= 0,205‰
R = 0,57‰
SAMPLE 5
Lab. N° |
1 |
2 |
3 |
n |
|
s |
|
1 |
6,60 |
6,72 |
6,59 |
3 |
6,635 |
0,0748 |
0,0056 |
2 |
7,18 |
7,04 |
7,33 |
3 |
7,179 |
0,1445 |
0,0209 |
3 |
6,98 |
7,18 |
6,80 |
3 |
6,986 |
0,1895 |
0,0359 |
4 |
7,00 |
7,03 |
7,08 |
3 |
7,037 |
0,0404 |
0,0016 |
5 |
7,05 |
7,11 |
7,09 |
3 |
7,083 |
0,0306 |
0,0009 |
6 |
6,69 |
6,70 |
6,63 |
3 |
6,673 |
0,0379 |
0,0014 |
7 |
6,48 |
6,60 |
6,55 |
3 |
6,543 |
0,0603 |
0,0036 |
*8 |
6,57 |
6,61 |
6,49 |
3 |
6,553 |
0,0616 |
0,0038 |
9 |
6,96 |
6,92 |
6,90 |
3 |
6,925 |
0,0295 |
0,0009 |
10 |
6,87 |
6,74 |
6,84 |
3 |
6,816 |
0,0690 |
0,0048 |
*11 |
5,06 |
4,76 |
5,24 |
3 |
5,020 |
0,2425 |
0,0588 |
*12 |
5,87 |
5,61 |
5,29 |
3 |
5,590 |
0,2905 |
0,0844 |
13 |
7,04 |
6,88 |
6,99 |
3 |
6,970 |
0,0841 |
0,0071 |
14 |
6,90 |
6,60 |
6,70 |
3 |
6,733 |
0,1528 |
0,0233 |
= 6,87‰
= 0,098‰
r = 0,27‰
= 0,220‰
R = 0,62‰
SAMPLE 6
Lab. N° |
1 |
2 |
3 |
n |
|
s |
|
1 |
-1,87 |
-1,79 |
-1,84 |
3 |
-1,831 |
0,0407 |
0,0017 |
2 |
-1,67 |
-1,50 |
-1,41 |
3 |
-1,525 |
0,1293 |
0,0167 |
3 |
-1,75 |
-1,68 |
-1,86 |
3 |
-1,762 |
0,0905 |
0,0082 |
4 |
-1,84 |
-1,80 |
-1,76 |
3 |
-1,800 |
0,0400 |
0,0016 |
5 |
-1,65 |
-1,65 |
-1,75 |
3 |
-1,683 |
0,0577 |
0,0033 |
6 |
-1,70 |
-1,74 |
-1,64 |
3 |
-1,693 |
0,0503 |
0,0025 |
7 |
-1,93 |
-1,85 |
-1,96 |
3 |
-1,913 |
0,0569 |
0,0032 |
*8 |
-3,58 |
-3,45 |
-3,11 |
3 |
-3,380 |
0,2449 |
0,0600 |
9 |
-1,84 |
-1,77 |
-1,83 |
3 |
-1,812 |
0,0332 |
0,0011 |
10 |
-1,81 |
-2,02 |
-1,79 |
3 |
-1,871 |
0,1300 |
0,0169 |
*11 |
-3,42 |
-2,97 |
-2,76 |
3 |
-3,050 |
0,3372 |
0,1137 |
*12 |
-2,39 |
-2,63 |
-2,81 |
3 |
-2,610 |
0,2107 |
0,0444 |
13 |
-1,76 |
-1,80 |
-1,76 |
3 |
-1,775 |
0,0241 |
0,0006 |
14 |
-2,00 |
-2,10 |
-1,90 |
3 |
-2,000 |
0,1000 |
0,0100 |
= 1,79‰
= 0,078‰
r = 0,22‰
= 0,141‰
R = 0,40‰
SAMPLE 7
Lab. N° |
1 |
2 |
3 |
n |
|
s |
|
1 |
-1,90 |
-1,94 |
-1,95 |
3 |
-1,929 |
0,0229 |
0,0005 |
2 |
-1,94 |
-1,79 |
-1,69 |
3 |
-1,803 |
0,1275 |
0,0163 |
3 |
-2,00 |
-2,04 |
-2,22 |
3 |
-2,086 |
0,1199 |
0,0144 |
4 |
-2,08 |
-2,04 |
-1,94 |
3 |
-2,020 |
0,0721 |
0,0052 |
5 |
-1,94 |
-1,88 |
-1,91 |
3 |
-1,910 |
0,0300 |
0,0009 |
6 |
-2,07 |
-2,06 |
-2,18 |
3 |
-2,103 |
0,0666 |
0,0044 |
7 |
-2,21 |
-2,28 |
-2,19 |
3 |
-2,227 |
0,0473 |
0,0022 |
*8 |
-3,23 |
-3,74 |
-3,28 |
3 |
-3,417 |
0,2773 |
0,0769 |
9 |
-2,08 |
-2,06 |
-2,10 |
3 |
-2,081 |
0,0206 |
0,0004 |
10 |
-2,10 |
-2,19 |
-2,02 |
3 |
-2,104 |
0,0820 |
0,0067 |
*11 |
-3,55 |
-3,66 |
-3,18 |
3 |
-3,463 |
0,2515 |
0,0632 |
*12 |
-2,59 |
-2,86 |
-3,06 |
3 |
-2,837 |
0,2359 |
0,0556 |
13 |
-1,70 |
-2,00 |
-1,75 |
3 |
-1,818 |
0,1599 |
0,0256 |
14 |
-2,20 |
-2,40 |
-2,30 |
3 |
-2,300 |
0,1000 |
0,0100 |
= 2,04‰
= 0,089‰
r = 0,25‰
= 0,173‰
R = 0,49‰
SAMPLE 8
Lab. N° |
1 |
2 |
3 |
n |
|
s |
s2 |
1 |
5,80 |
5,96 |
5,93 |
3 |
5,896 |
0,0876 |
0,0077 |
2 |
6,50 |
6,28 |
6,45 |
3 |
6,410 |
0,1155 |
0,0133 |
3 |
6,02 |
6,20 |
6,07 |
3 |
6,097 |
0,0926 |
0,0086 |
4 |
5,85 |
6,02 |
5,98 |
3 |
5,950 |
0,0889 |
0,0079 |
5 |
6,04 |
6,15 |
6,20 |
3 |
6,130 |
0,0819 |
0,0067 |
6 |
5,97 |
6,01 |
5,99 |
3 |
5,990 |
0,0200 |
0,0004 |
7 |
5,88 |
5,89 |
5,93 |
3 |
5,900 |
0,0265 |
0,0007 |
*8 |
5,70 |
5,07 |
5,49 |
3 |
5,418 |
0,3191 |
0,1019 |
9 |
6,09 |
6,05 |
6,14 |
3 |
6,091 |
0,0458 |
0,0021 |
10 |
6,01 |
5,83 |
6,03 |
3 |
5,960 |
0,1107 |
0,0123 |
*11 |
4,50 |
4,66 |
4,57 |
3 |
4,577 |
0,0802 |
0,0064 |
*12 |
5,22 |
4,90 |
4,60 |
3 |
4,907 |
0,3101 |
0,0961 |
13 |
5,93 |
5,86 |
5,92 |
3 |
5,905 |
0,0409 |
0,0017 |
14 |
5,90 |
5,90 |
5,90 |
3 |
5,900 |
0,0000 |
0,0000 |
= 6,02‰
= 0,074‰
r = 0,21‰
= 0,167‰
R = 0,47‰
SAMPLE 9
Lab. N° |
1 |
2 |
3 |
n |
|
s |
s2 |
1 |
5,10 |
4,98 |
5,14 |
3 |
5,070 |
0,0823 |
0,0068 |
2 |
5,65 |
5,38 |
5,66 |
3 |
5,560 |
0,1603 |
0,0257 |
3 |
5,33 |
5,11 |
5,07 |
3 |
5,171 |
0,1407 |
0,0198 |
4 |
5,19 |
5,23 |
5,28 |
3 |
5,233 |
0,0451 |
0,0020 |
5 |
5,40 |
5,45 |
5,39 |
3 |
5,413 |
0,0321 |
0,0010 |
6 |
5,17 |
5,21 |
5,14 |
3 |
5,173 |
0,0351 |
0,0012 |
7 |
4,93 |
4,87 |
4,88 |
3 |
4,893 |
0,0321 |
0,0010 |
*8 |
4,30 |
4,65 |
4,38 |
3 |
4,441 |
0,1807 |
0,0326 |
9 |
5,00 |
5,19 |
5,02 |
3 |
5,071 |
0,1069 |
0,0114 |
10 |
5,28 |
5,14 |
5,23 |
3 |
5,215 |
0,0728 |
0,0053 |
*11 |
3,86 |
3,75 |
3,81 |
3 |
3,807 |
0,0551 |
0,0030 |
*12 |
4,71 |
4,14 |
4,10 |
3 |
4,317 |
0,3412 |
0,1164 |
13 |
5,30 |
5,07 |
5,23 |
3 |
5,197 |
0,1176 |
0,0138 |
14 |
5,10 |
5,20 |
5,00 |
3 |
5,100 |
0,1000 |
0,0100 |
= 5,19‰
= 0,094‰
r = 0,26‰
= 0,194‰
R = 0,54‰
SAMPLE 10
Lab. N° |
1 |
2 |
3 |
n |
|
s |
s2 |
1 |
-2,53 |
-2,68 |
-2,51 |
3 |
-2,571 |
0,0912 |
0,0083 |
2 |
-2,15 |
-2,53 |
-2,22 |
3 |
-2,301 |
0,2019 |
0,0408 |
3 |
-2,55 |
-2,52 |
-2,63 |
3 |
-2,567 |
0,0604 |
0,0036 |
4 |
-2,64 |
-2,53 |
-2,52 |
3 |
-2,563 |
0,0666 |
0,0044 |
5 |
-2,20 |
-2,37 |
-2,43 |
3 |
-2,333 |
0,1193 |
0,0142 |
6 |
-2,78 |
-2,65 |
-2,75 |
3 |
-2,727 |
0,0681 |
0,0046 |
7 |
-2,75 |
-2,87 |
-2,85 |
3 |
-2,823 |
0,0643 |
0,0041 |
* 8 |
-3,58 |
-3,40 |
-2,90 |
3 |
-3,295 |
0,3527 |
0,1244 |
9 |
-2,82 |
-2,74 |
-2,81 |
3 |
-2,789 |
0,0464 |
0,0021 |
10 |
-2,91 |
-2,76 |
-2,61 |
3 |
-2,761 |
0,1520 |
0,0231 |
*11 |
-3,99 |
-4,00 |
-4,02 |
3 |
4,003 |
0,0153 |
0,0002 |
*12 |
-2,21 |
-2,43 |
-2,51 |
3 |
2,383 |
0,1553 |
0,0241 |
13 |
-2,43 |
-2,60 |
-2,46 |
3 |
2,498 |
0,0904 |
0,0082 |
14 |
-2,80 |
-2,80 |
-2,70 |
3 |
2,767 |
0,0577 |
0,0033 |
= 2,61‰
= 0,103‰
r = 0,29‰
= 0,200‰
R = 0,56‰
Summary of statistical results
|
r |
R |
|||
Water |
|||||
Sample 1 |
-8,20 |
0,068 |
0,19 |
0,171 |
0,48 |
Sample 2 |
-8,22 |
0,096 |
0,27 |
0,136 |
0,38 |
Wine N°1 |
|||||
Sample 5 |
6,87 |
0,098 |
0,27 |
0,220 |
0,62 |
Sample 8 |
6,02 |
0,074 |
0,21 |
0,167 |
0,47 |
Sample 9 |
5,19 |
0,0094 |
0,26 |
0,194 |
0,54 |
Sample 4 |
3,59 |
0,106 |
0,30 |
0,205 |
0,57 |
Wine N°2 |
|||||
Sample 3 |
-1,54 |
0,065 |
0,18 |
0,165 |
0,46 |
Sample 6 |
-1,79 |
0,078 |
0,22 |
0,141 |
0,40 |
Sample 7 |
-2,04 |
0,089 |
0,25 |
0,173 |
0,49 |
Sample 10 |
-2,61 |
0,103 |
0,29 |
0,200 |
0,56 |
: general average (‰)
: standard deviation of repeatability (‰)
r : repeatability (‰)
: standard deviation of reproducibility (‰)
R : reproducibility (‰).