Determination of the deuterium distribution in ethanol derived from fermentation of grape musts, concentrated grape musts, grape sugar (rectified concentrated grape musts) and wines by application of nuclear magnetic resonance (SNIF-NMR/RMN-FINS)
OIV-MA-AS311-05 Determination of the deuterium distribution in ethanol derived from fermentation of grape musts, concentrated grape musts, grape sugar (rectified concentrated grape musts) and wines by application of nuclear magnetic resonance (SNIF-NMR/RMN-FINS)[1]
Type II method
- Introduction
The deuterium contained in the sugars and the water in grape must is redistributed after fermentation in molecules I, II, III and IV of the wine:
HOD |
|||
I |
II |
III |
IV |
- Scope
The method enables measurement of the Deuterium isotope ratios (D/H) in wine ethanol and ethanol obtained by fermentation of products of the vine (musts, concentrated musts, rectified concentrated musts).
- Definitions
: Isotope ratio associated with molecule I
: Isotope ratio associated with molecule II
: Isotope ratio of the water in the wine (or in fermented products)
R expresses the relative distribution of deuterium in molecules I and II; R is measured directly from the intensities h (peak heights) of the signals and then R =
- Principle
The above defined parameters R, (D/H)I and (D/H)II are determined by nuclear magnetic resonance of the deuterium in the ethanol extracted from the wine or from the fermentation products of the must, the concentrated must or the grape sugar (rectified concentrated must) obtained under given conditions.
- Reagents and materials
- reagents:
- reagents for the determination of water by the Karl Fischer method (when this method is used for the measurement of the alcohol grade of the distillate).
- Hexafluorobenzene (C6F6) used as lock substance
- Trifluoroacetic acid (TFA, CAS: 76-05-1) or alternatively trifluoroacetic anhydride (TFAA, CAS: 407-25-0)
- Reference Materials (available from the Institute for Reference Materials and Measurements IRMM in Geel (B)):
- Sealed NMR tubes CRM-123, used to check the calibration of the NMR instrumentation
- Standard N,N-tetramethyl urea (TMU); standard TMU with a calibrated isotope ratio D/H.
- Other CRMs available used to check the distillation and preparation steps:
- reagents:
CRM |
Parameter |
Certified value |
Uncertainty |
|
CRM-656 |
Ethanol from wine, 96% vol. |
|||
(ethanol) in % w/w |
94.61 |
0.05 |
||
C (ethanol) in ‰ VPDB |
-26.91 |
0.07 |
||
(ethanol) in ppm |
102.84 |
0.20 |
||
(ethanol) in ppm |
132.07 |
0.30 |
||
R (ethanol) |
2.570 |
0.005 |
||
CRM-660 |
hydro alcoholic solution, 12% vol. |
|||
(ethanol) in % vol. |
11.96 |
0.06 |
||
C (ethanol) in ‰ VPDB |
-26.72 |
0.09 |
||
(ethanol) in ppm |
102.90 |
0.16 |
||
(ethanol) in ppm |
131.95 |
0.23 |
||
R |
2.567 |
0.005 |
||
(D/H)w (water) in ppm |
148.68 |
0.14 |
5.3. Apparatus
5.3.1. NMR spectrometer fitted with a specific 'deuterium' probe tuned to the characteristic frequency o of the field Bo (e.g. for Bo = 7.05 T, o = 46.05 MHz and for Bo = 9.4 T, o = 61.4 MHz) having a proton decoupling channel (B2) and field-frequency stabilization channel (lock) at the fluorine frequency. The NMR instrument can possibly be equipped with an automatic sample changer and additional data-processing software for the evaluation of the spectra and computation of the results. The performance of the NMR spectrometer can be checked using the Certified Reference Materials (sealed tubes CRM 123).
5.3.2. 10 mm NMR sample tubes
5.3.3. Distillation apparatus
Note: Any method for ethanol extraction can be used as long as the alcohol in the wine is recovered without isotopic fractionation.
The Cadiot column shown in figure 1 is an example of a manual distillation system that allows to extract 96 to 98.5% of the ethanol of a wine without isotopic fractionation and obtain a distillate with an alcohol grade of 92 to 93 in % w/w (95% vol.).
Such a system is composed of:
- Electric heating mantle with voltage regulator,
- One‑liter round‑bottom flask with ground glass neck joint,
- Cadiot column with rotating band (moving part in Teflon),
- conical flasks with ground glass neck joints, for collection of the distillate
Automatic distillation systems are also available.
The performance of the distillation system may be checked periodically for both the yield of extraction as well as for accuracy for the isotopic determination. This control can be done by distillation and measurement of CRM -660.
5.3.4. The following common laboratory equipment and consumables is needed:
- micropipette with appropriate tips,
- balance with 0.1 mg accuracy or better,
- balance with 0.1g accuracy or better
- single use syringe for transfer of liquids,
- precise graduated flasks (50ml, 100 ml, 250ml,…)
- flasks equipped with airtight closing systems and inert septa (for storage of aliquots of wines, distillates and residues until measurement)
- equipment and consumables as specified in the other methods referred to herein.
The laboratory equipment and consumables indicated in the above lists are examples and may be replaced by other equipment of equivalent performance.
- Sampling (Preparation of the sample)
6.1. If not yet available, determine the alcoholic strength of the wine or of the fermented product (tv) to better than the nearest 0.05 % vol. (eg. using the OIV method MA-F-AS312-01-TALVOL).
6.2. Extraction of the ethanol
Using the appropriate graduated flask, introduce a homogeneous sample of a suitable volume V ml of the wine or the fermented product into the round-bottom flask of the distillation apparatus. Place a ground conical flask to receive the distillate. Heat the product to be distilled to obtain a constant reflux ratio at the level of the condenser. Start the collection of the distillate when a stable temperature of the vapours typical of the ethanol-water azeotrope (78°C) is reached and stop the collection when the temperature increases. The collection of distillate should be continued until the ethanol-water azeotrope is completely recovered.
When using manually a Cadiot column (Figure 1) the following procedure can be applied:
Collect the boiling liquid corresponding to the ethanol-water azeotrope, when the temperature increases, discontinue collection for five minutes. When the temperature returns to 78 °C, recommence collecting the distillate until the temperature of the vapours increases again. Repeat this operation until the temperature, after discontinuing collection, does not return to 78 °C.
Alternatively, commercially available distillation systems can be used.
The weight of distillate collected is weighed to better than 0.1g.
In order to avoid isotopic fractionation, the distillate should be kept in a tight vial preventing any evaporation until further use for determination of the alcoholic strength (6.3) and preparation of the NMR tube (7.1).
An aliquot of a few ml of the residues is kept. Its isotope ratio may be determined if required.
6.3. Determination of the alcoholic strength of the distillate
The alcoholic strength (%w/w) of the distillate must be determined with a precision better than 0.1%.
The water content of the distillate (' g) can be determined by the Karl Fischer method using a sample of about 0.5 ml of alcohol of exactly known mass g .The alcohol strength by mass of the distillate is then given by:
Alternatively the alcoholic strength can be determined by densimetry for instance using a electronic densimeter.
6.4. Yield of distillation
The yield of distillation is estimated using the following formula:
Yield of dist.% = 100 /(V.tv)
Given the uncertainty on each term and especially on tv, the yield of distillation is estimated at 0.5% (in the case of a wine of 10%v/v).
When using the Cadiot column, no significant isotope fractionation effect is expected for yield of extraction higher than 96%. In any case the operator may use a sufficient volume Vml of wine or fermented product for the distillation to ensure that the yield of extraction is sufficient. Typically aliquots of 750, 500, 400 and 300ml of wine sample should be sufficient to obtain a 96% yield when carrying out the above distillation procedure with the Cadiot column on wines or fermented products of respectively tv = 4, 6, 8 and 10% vol.
6.5. Fermentation of musts, concentrated musts and rectified concentrated musts
Prior to use, the yeast can be reactivated in a small volume of must. The fermentation vessel is equipped with a device to keep it airtight and to avoid loss of ethanol.
6.5.1. Musts
Place about one litre of must, whose concentration of fermentable sugars has been previously determined, in the fermentation vessel. Add about 1 g of dry yeast eventually reactivated beforehand. Insert device to keep it airtight. Allow fermentation to proceed until the sugar is used up. The fermented product can then be distilled following the procedure already described for wine in 6.1 to 6.4
Note: Musts preserved by addition of sulphur dioxide have to be de-sulphited by bubbling nitrogen through the must in a water bath at 70 to 80 °C under reflux in order to prevent isotope fractionation through evaporation of water. Alternatively, the sulphur dioxide can be removed by a small addition of a solution of hydrogen peroxide ().
6.5.2. Concentrated musts
Place V ml of concentrated must containing a known amount of sugar (approximately 170 g) into the fermentation vessel. Top up to one litre with (1000 - V) ml of water. Add dry yeasts (1 g) and 3 g of Bacto Yeast Nitrogen Base without amino acids. Homogenize and proceed as described in 6.5.1.
6.5.3. Grape sugar (Rectified concentrated musts)
Proceed as described in 6.5.2, topping up to one litre with (1000 - V) ml of water also containing 3 g of dissolved tartaric acid.
Note: Concentrated musts and rectified concentrated musts are diluted in local water having a (D/H) isotope concentration different of that of the original must. By convention, the (D/H)I and (D/H)II parameters measured on ethanol have to be normalised as if the must had fermented in water having the same deuterium concentration as V-SMOW ( 155.76 ppm).
This normalisation of the data is performed by using the following equations (Martin et al., 1996, J. AOAC, 79, 62-72):
Given the uncertainty on each term and especially on tv, the yield of distillation is estimated at 0.5% (in the case of a wine of 10%v/v).
When using the Cadiot column, no significant isotope fractionation effect is expected for yield of extraction higher than 96%. In any case the operator may use a sufficient volume Vml of wine or fermented product for the distillation to ensure that the yield of extraction is sufficient. Typically aliquots of 750, 500, 400 and 300ml of wine sample should be sufficient to obtain a 96% yield when carrying out the above distillation procedure with the Cadiot column on wines or fermented products of respectively tv = 4, 6, 8 and 10% vol.
6.6. Fermentation of musts, concentrated musts and rectified concentrated musts
Where is the deuterium isotope ratio of the diluted must. This value can be computed using the equation of the Global Meteoric Water Line (Craig, 1961):
Where is measured on the diluted must by the method for 18O/16O isotope ratio determination of water in wines and must [OIV-MA-AS2-12].
Retain 50 ml of sample of must or sulphur dioxide treated must or concentrated must or rectified concentrated must with a view to the possible extraction of the water and the determination of its isotope ratio
- Procedure
7.1. Preparation of alcohol sample for NMR measurement
10 mm diameter NMR probe: in a previously weighed bottle, collect 3.2 ml of distillate as described in section 6.2 and weigh it to the nearest 0.1 mg (mA); then take 1.3 ml sample of the internal standard TMU (5.2.2) and weigh to the nearest 0.1 mg (mST).
Depending on the type of spectrometer and probe used, add a sufficient quantity of hexafluorobenzene (5.1.2) as a field-frequency stabilization substance (lock):
Spectrometer |
10 mm probe |
7.05 T |
150 μl |
9.4 T |
35 μl |
These figures are indicative and the actual volume to be used should be adjusted to the sensitivity of the NMR instrument. While preparing the tube and until the NMR measurement, the operator should take care to avoid any evaporation of ethanol and TMU since this would cause isotopic fractionation, errors in the weights (and) of the components and erroneous NMR results.
The correcteness of the procedure of measurement including this preparation step can be checked using the CRM 656.
Note: the hexafluorobenzene can be added with 10% (v/v) of trifluoroacetic acid (5.1.3) in order to catalyze the fast hydrogen exchange on hydroxyle bond resulting in a single NMR peak for both the hydroxyle and residual water signals.
7.2. Recording of ²H NMR spectra of the alcohol
7.2.1. The homogeneity of the magnetic field B0 in the sample is optimized through the “shimming” procedure maximizing the 19F NMR lock signal observed the hexafluorobenzene. Modern NMR spectrometers can perform automatically and efficiently this “shimming” procedure provided that the initial settings are close enough to the optimal magnetic field homogeneity for a given sample as is generally the case for a batch of ethanol samples prepared as described in 7.1. The efficiency of this procedure can be checked through the resolution measured on the spectrum obtained without exponential multiplication (i.e. LB = 0) (Figure 2b) and expressed by the half-width of the methyl and methylene signals of ethanol and the methyl signal of TMU, which must be less than 0.5 Hz in the best conditions. The sensitivity, measured with an exponential multiplying factor LB equal to 2 (Figure 2a) must be greater than or equal to 150 for the methyl signal of ethanol of alcoholic strength 95 % vol (93.5 % mas).
7.2.2. Checking the instrumental settings
Carry out customary standardization for homogeneity and sensitivity according to the manufacturer's specifications.
Use the sealed tubes CRM123 (H: High , M: Medium, L: Low).
Following the procedure described below in 9.3, determine the isotope values of these alcohols, denoting them Hmeas, Mmeas, Lmeas .
Compare them with the given corresponding standard values, denoted by a superscript Hst, Mst, Lst.
Typically, as an indication the standard deviation obtained for 10 repetitions of each spectrum should be of the order of 0.01 for the ratio R and 0.5 ppm for and 1 ppm for .
The average values obtained for the various isotopic parameters (R, , must be within the corresponding standard deviation of repeatability given for those parameters for the CRM123. If they are not, carry out the checks again.
Once the settings have been optimized also other CRM materials can be used to monitor the quality of measurements in routine analysis.
7.3. Conditions for obtaining NMR spectra
Place a sample of alcohol prepared as in 7.1 in a 10 mm tube and introduce it into the probe.
Suggested conditions for obtaining NMR spectra are as follows:
- a constant probe temperature, set to better less than 0.5°K variation in the range 302 K to 306 K depending on the heating power generated by the decoupling;
- acquisition time of at least 6.8 s for 1200 Hz spectral width (16K memory) (i.e. about 20 ppm at 61.4 MHz or 27 ppm at 46.1 MHz);
- 90° pulse;
- parabolic detection: fix the offset 01 between the OD and CHD reference signals for ethanol and between the HOD and TMU reference signals for water;
- determine the value of the decoupling offset 02 from the proton spectrum measured by the decoupling coil on the same tube. Good decoupling is obtained when 02 is located in the middle of the frequency interval existing between the CH3- and CH2- groups. Use the wide band decoupling mode or composite pulse sequences (eg. WALTZ16) to ensure homogeneous decoupling on the whole spectrum.
For each spectrum, carry out a number of accumulations NS sufficient to obtain the signal-to-noise ratio indicated as sensitivity in 7.2 and repeat NE times this set of NS accumulations. The values of NS depend on the types of spectrometer and probe used. Examples of the possible choices are:
Spectrometer |
10 mm probe |
7.05 T |
NS = 304 |
9.4 T |
NS = 200 |
The number of repetitions NE should be statistically meaningful and sufficient to achieve the performance and precision of the method as reported below in §9.
In the case that two NMR sample tubes have been prepared following the procedure described in 7.1, five repetitions of NMR spectra (NE=5) can be recorded on each tube. The final result for each isotopic parameter corresponds to the mean value of the measurements obtained on the two NMR sample tubes. In that case, the acceptance criteria for validation of the results obtained with these two tubes are:
- Expression of results
For each of the NE spectra (see NMR spectrum for ethanol, Figure 2a), determine:
With
- and , see 7.1
- see 6.3
- = isotope ratio of internal standard (TMU) indicated on certificate delivered by IRMM.
The use of peak heights instead of peak area, which is less precise, supposes that peak width at half height is identical and is a reasonable approximation if applicable (Figure 2b).
For each of the isotope parameters, calculate the average and the confidence interval for the number of repeated spectra acquired on a given sample.
Optional softwares enable such calculations to be carried out on-line.
- Precision
The repeatability and Reproducibility of the SNIF-NMR method has been studied through collaborative studies on fruit juices as reported in the bibliography here below. However these studies considered only the parameter (D/H)I. In the case of wine data from in-house studies carried out by several laboratories can be considered for establishing the standard deviation of repeatability and the limit of repeatability as presented in Annex I. The results of proficiency testing reported in Annex II provide data that can be used to compute the standard deviation of Reproducibility and the limit of Reproducibility for wines.
These figures can be summarised as follows:
(D/H)I |
(D/H)II |
R |
|
Sr |
0.26 |
0.30 |
0.005 |
r |
0.72 |
0.84 |
0.015 |
SR |
0.35 |
0.62 |
0.006 |
R |
0.99 |
1.75 |
0.017 |
with
- : standard deviation of repeatability
- r : limit of repeatability
- : standard deviation of reproducibility
- R : limit of Reproducibility
References
- Martin G.J., Martin M.L., MABON F., Anal. Chem., 1982, 54, 2380-2382.
- Martin G.J., Martin M.L., J. Chim. Phys., 1983, 80, 294-297.
- Martin G.J., Guillou C., NAULET N., BRUN S., Tep Y., Cabanis J.C.,
- Cabanis M.T., Sudraud P., Sci. Alim., 1986, 6, 385-405.
- Martin G.J., Zhang B.L., NAULET N. and MARTIN M.L., J. Amer. Chem. Soc., 1986, 108, 5116-5122.
- Martin G.J., Guillou C., Martin M.L., Cabanis M.T., TEP Y. et AERNY J., J. Agric. Food Chem., 1988, 36, 316.
- MARTIN G. G., WOOD R., MARTIN, G. J., J. AOAC Int., 1996 , 79 (4), 917-928.
- MARTIN G.G., HANOTE V., LEES M., MARTIN Y-L.,. J. Assoc Off Anal Chem, 1996, 79, 62-72
- CRAIG H., Science , 1961, 133,. 1702 – 1703
Figure 1 - Apparatus for extracting ethanol |
Figure 2a 2H NMR spectrum of an ethanol from wine with an internal standard (TMU: N, N-tetramethylurea) |
Figure 2b 2H spectrum of ethanol taken under the same conditions as those of Figure 2a, but without exponential multiplication (LB = 0) |
Annex I: Estimation of the repeatability from in-house repeatability studies
The in-house repeatability studies performed in 4 laboratories provide data that allows the estimation of the repeatability of the SNIF-NMR method.
These in-house repeatability studies have been performed by duplicate distillations and measurements of 10, 9 or 15 different wine samples by the laboratories 1, 2 and 3.
Alternatively the laboratory 4 performed 16 distillations and measurements on the same wine in condition of repeatability on a short period of time.
Table I-1: lab 1 : 10 wines analysed in duplicates
(D/H)I |
(D/H)II |
R |
|||||||||||
abs ((D/H)I) |
Squares |
abs ((D/H)II) |
Squares |
abs ((R)) |
Squares |
||||||||
Sample |
(D/H)I |
(D/H)II |
R |
|
|
|
|||||||
1 |
103.97 |
130.11 |
2.503 |
0.55 |
0.302 |
0.68 |
0.462 |
0.000 |
0.00000 |
||||
104.52 |
130.79 |
2.503 |
|||||||||||
2 |
103.53 |
130.89 |
2.529 |
0.41 |
0.168 |
0.32 |
0.102 |
0.016 |
0.00026 |
||||
103.94 |
130.57 |
2.513 |
|||||||||||
3 |
102.72 |
130.00 |
2.531 |
0.32 |
0.102 |
0.20 |
0.040 |
0.004 |
0.00002 |
||||
103.04 |
130.20 |
2.527 |
|||||||||||
4 |
105.38 |
132.39 |
2.513 |
0.14 |
0.020 |
0.20 |
0.040 |
0.000 |
0.00000 |
||||
105.52 |
132.59 |
2.513 |
|||||||||||
5 |
101.59 |
127.94 |
2.519 |
0.48 |
0.230 |
0.20 |
0.040 |
0.016 |
0.00026 |
||||
101.11 |
128.14 |
2.535 |
|||||||||||
6 |
103.23 |
132.14 |
2.560 |
0.30 |
0.090 |
0.36 |
0.130 |
0.001 |
0.00000 |
||||
102.93 |
131.78 |
2.561 |
|||||||||||
7 |
103.68 |
130.95 |
2.526 |
0.15 |
0.023 |
0.75 |
0.563 |
0.011 |
0.00012 |
||||
103.53 |
130.20 |
2.515 |
|||||||||||
8 |
101.76 |
128.86 |
2.533 |
0.24 |
0.058 |
0.42 |
0.176 |
0.003 |
0.00001 |
||||
101.52 |
128.44 |
2.530 |
|||||||||||
9 |
103.05 |
129.59 |
2.515 |
0.04 |
0.002 |
0.44 |
0.194 |
0.007 |
0.00005 |
||||
103.01 |
129.15 |
2.508 |
|||||||||||
10 |
101.47 |
132.63 |
2.614 |
0.50 |
0.250 |
0.18 |
0.032 |
0.010 |
0.00010 |
||||
100.97 |
132.45 |
2.624 |
|||||||||||
Sum of squares: |
1.245 |
1.779 |
0.00081 |
||||||||||
Sr |
0.25 |
|
0.30 |
|
0.006 |
||||||||
r |
0.71 |
|
0.84 |
|
0.018 |
||||||||
Table I-2: lab 2 : 9 wines analysed in duplicates
(D/H)I |
(D/H)II |
R |
|||||||
abs ((D/H)I) |
Squares |
abs ((D/H)II) |
Squares |
abs ((R)) |
Squares |
||||
Sample |
(D/H)I |
(D/H)II |
R |
|
|
|
|
|
|
1 |
105.02 |
133.78 |
2.548 |
0.26 |
0.068 |
0.10 |
0.010 |
0.008 |
0.00007 |
104.76 |
133.88 |
2.556 |
|||||||
2 |
102.38 |
130.00 |
2.540 |
0.73 |
0.533 |
0.40 |
0.160 |
0.010 |
0.00011 |
101.65 |
129.60 |
2.550 |
|||||||
3 |
100.26 |
126.08 |
2.515 |
0.84 |
0.706 |
0.64 |
0.410 |
0.008 |
0.00007 |
99.42 |
125.44 |
2.523 |
|||||||
4 |
101.17 |
128.83 |
2.547 |
0.51 |
0.260 |
0.45 |
0.203 |
0.004 |
0.00002 |
100.66 |
128.38 |
2.551 |
|||||||
5 |
101.47 |
128.78 |
2.538 |
0.00 |
0.000 |
0.26 |
0.068 |
0.005 |
0.00003 |
101.47 |
128.52 |
2.533 |
|||||||
6 |
106.14 |
134.37 |
2.532 |
0.12 |
0.014 |
0.04 |
0.002 |
0.002 |
0.00000 |
106.26 |
134.41 |
2.530 |
|||||||
7 |
103.62 |
130.55 |
2.520 |
0.05 |
0.003 |
0.11 |
0.012 |
0.003 |
0.00001 |
103.57 |
130.66 |
2.523 |
|||||||
8 |
103.66 |
129.88 |
2.506 |
0.28 |
0.078 |
0.55 |
0.302 |
0.004 |
0.00001 |
103.38 |
129.33 |
2.502 |
|||||||
9 |
103.50 |
129.66 |
2.506 |
0.43 |
0.185 |
0.22 |
0.048 |
0.015 |
0.00021 |
103.93 |
129.44 |
2.491 |
|||||||
Sum of squares: |
1.846 |
1.214 |
0.00053 |
||||||
Sr |
0.32 |
|
0.26 |
|
0.005 |
||||
r |
0.91 |
|
0.74 |
|
0.015 |
Table I-3: lab 3 : 15 wines analysed in duplicates
(D/H)I |
(D/H)II |
R |
|||||||
abs ((D/H)I) |
Squares |
abs ((D/H)II) |
Squares |
abs ((R)) |
Squares |
||||
Sample |
(D/H)I |
(D/H)II |
R |
|
|
|
|
|
|
1 |
101.63 |
125.87 |
2.477 |
0.06 |
0.004 |
0.46 |
0.212 |
0.007 |
0.00005 |
101.57 |
125.41 |
2.470 |
|||||||
2 |
99.24 |
124.41 |
2.507 |
0.05 |
0.002 |
0.04 |
0.002 |
0.001 |
0.00000 |
99.19 |
124.37 |
2.508 |
|||||||
3 |
101.23 |
125.07 |
2.471 |
0.06 |
0.004 |
0.16 |
0.026 |
0.005 |
0.00002 |
101.17 |
125.23 |
2.476 |
|||||||
4 |
100.71 |
125.29 |
2.488 |
0.07 |
0.005 |
1.16 |
1.346 |
0.024 |
0.00058 |
100.78 |
124.13 |
2.464 |
|||||||
5 |
99.89 |
124.02 |
2.483 |
0.18 |
0.032 |
0.56 |
0.314 |
0.007 |
0.00005 |
99.71 |
123.46 |
2.476 |
|||||||
6 |
100.60 |
124.14 |
2.468 |
0.19 |
0.036 |
0.66 |
0.436 |
0.018 |
0.00032 |
100.41 |
124.80 |
2.486 |
|||||||
7 |
101.47 |
125.60 |
2.476 |
0.23 |
0.053 |
0.14 |
0.020 |
0.003 |
0.00001 |
101.70 |
125.74 |
2.473 |
|||||||
8 |
102.02 |
124.00 |
2.431 |
0.13 |
0.017 |
0.07 |
0.005 |
0.005 |
0.00002 |
102.15 |
123.93 |
2.426 |
|||||||
9 |
99.69 |
124.60 |
2.500 |
0.40 |
0.160 |
0.53 |
0.281 |
0.000 |
0.00000 |
100.09 |
125.13 |
2.500 |
|||||||
10 |
99.17 |
123.71 |
2.495 |
0.30 |
0.090 |
0.19 |
0.036 |
0.004 |
0.00002 |
99.47 |
123.90 |
2.491 |
|||||||
11 |
100.60 |
123.89 |
2.463 |
0.40 |
0.160 |
0.54 |
0.292 |
0.001 |
0.00000 |
101.00 |
124.43 |
2.464 |
|||||||
12 |
99.38 |
124.88 |
2.513 |
0.33 |
0.109 |
0.55 |
0.302 |
0.002 |
0.00000 |
99.05 |
124.33 |
2.511 |
|||||||
13 |
99.51 |
125.24 |
2.517 |
0.44 |
0.194 |
0.01 |
0.000 |
0.011 |
0.00012 |
99.95 |
125.25 |
2.506 |
|||||||
15 |
101.34 |
124.68 |
2.460 |
0.43 |
0.185 |
0.41 |
0.168 |
0.002 |
0.00000 |
101.77 |
125.09 |
2.458 |
|||||||
Sum of squares: |
1.050 |
3.437 |
0.00120 |
||||||
Sr |
0.19 |
|
0.34 |
|
0.006 |
||||
r |
0.53 |
|
0.96 |
|
0.018 |
Table I-4: one wine analysed 16 times
: |
||||||||||
|
||||||||||
Repetition |
(D/H)I |
(D/H)II |
R |
|
(D/H)I |
(D/H)II |
R |
|||
1 |
101.38 |
126.87 |
2.503 |
Variance: |
0.0703 |
0.0840 |
0.000013 |
|||
2 |
101.30 |
126.22 |
2.492 |
|||||||
3 |
100.98 |
125.86 |
2.493 |
Sr |
0.27 |
0.29 |
0.004 |
|||
4 |
100.94 |
126.00 |
2.497 |
|
|
|
|
|||
5 |
100.71 |
125.79 |
2.498 |
r |
0.75 |
0.82 |
0.010 |
|||
6 |
100.95 |
126.05 |
2.497 |
|||||||
7 |
101.17 |
126.30 |
2.497 |
|||||||
8 |
101.22 |
126.22 |
2.494 |
|||||||
9 |
100.99 |
125.91 |
2.494 |
|||||||
10 |
101.29 |
126.24 |
2.493 |
|||||||
11 |
100.78 |
126.07 |
2.502 |
|||||||
12 |
100.65 |
125.65 |
2.497 |
|||||||
13 |
101.01 |
126.17 |
2.498 |
|||||||
14 |
100.89 |
126.05 |
2.499 |
|||||||
15 |
101.66 |
126.52 |
2.489 |
|||||||
16 |
100.98 |
126.11 |
2.498 |
|||||||
The pooled data for the standard deviation of repeatability and for the limit of repeatability can thus be estimated as:
R |
|||
Sr |
0.26 |
0.30 |
0.005 |
limit of repeatability |
0.72 |
0.84 |
0.015 |
Data of in-house repeatability studies were provided by (in alphabetic order):
- Bundesinstitut für Risikobewertung,
Thielallee 88-92 PF 330013 D-14195 BERLIN – GERMANY
- Fondazione E. Mach-Istituto Agrario di San Michele all'Adige,
Via E. Mach, 1 - 38010 San Michele all'Adige (TN), ITALY
- Joint Research Centre - Institute for Health and Consumer Protection,
I-21020 ISPRA (VA) – ITALY
- Laboratorio Arbitral Agroalimentario, Carretera de la Coruña, km 10,7
E-28023 MADRID –SPAIN
Annex II: Evaluation of the Reproducibility from proficiency testing data
Since December 1994 international proficiency testing exercises on the determination of isotopic parameters on wine and various other food matrices have been regularly organised. These proficiency testing exercises allow participating laboratories to assess their performance and the quality of their analyses. The statistical exploitation of these results obtained on a large number of samples over a long period of time allows the appreciation of the variability of the measurements under conditions of reproductibility. This enables a good estimation of the variance parameters and of the reproducibility limit of the method. The results of 40 rounds of proficiency testing since 1994 until 2010 for various type of wine (red, white, rosé, dry, sweet and sparkling) are summarised in the table II-1 here below.
For and the pooled SR can thus be calculated using the following equation:
with Ni ,and SR,i the number of values and the standard deviation of reproducibility of the ith round, and K the number of rounds.
Considering the definition of the intramolecular ratio R, and applying the standard error propagation rules assuming that (D/H)I and (D/H)II are uncorrelated (the covariance terms are then zero), one can also estimate the standard deviation of Reproducibility for this parameter.
The following figures can thus be calculated:
R |
|||
0.35 |
0.62 |
0.006 |
|
limit of repeatability R |
0.99 |
1.75 |
0.01 |
Table II-1: FIT Proficiency Testing- Summary of statiscal values observed on wines samples
(D/H)I |
(D/H)II |
||||||||||||||
Sample |
Year |
Round |
N |
Mean |
SR |
N |
Mean |
SR |
|||||||
Red wine |
1994 |
R1 |
10 |
102.50 |
0.362 |
10 |
130.72 |
0.33 |
|||||||
Rosé wine |
1995 |
R1 |
10 |
102.27 |
0.333 |
10 |
128.61 |
0.35 |
|||||||
Red wine |
1995 |
R2 |
11 |
101.45 |
0.389 |
11 |
127.00 |
0.55 |
|||||||
Red wine |
1996 |
R1 |
11 |
101.57 |
0.289 |
11 |
132.23 |
0.34 |
|||||||
Rosé wine |
1996 |
R2 |
12 |
102.81 |
0.322 |
12 |
128.20 |
0.60 |
|||||||
White wine |
1996 |
R3 |
15 |
103.42 |
0.362 |
15 |
127.97 |
0.51 |
|||||||
Red wine |
1996 |
R4 |
15 |
102.02 |
0.377 |
13 |
131.28 |
0.30 |
|||||||
Rosé wine |
1997 |
R1 |
16 |
103.36 |
0.247 |
16 |
126.33 |
0.44 |
|||||||
White wine |
1997 |
R2 |
16 |
103.42 |
0.444 |
15 |
127.96 |
0.53 |
|||||||
Sweet White Wine |
1997 |
R2 |
14 |
99.16 |
0.419 |
15 |
130.02 |
0.88 |
|||||||
Wine |
1997 |
R3 |
13 |
101.87 |
0.258 |
15 |
132.03 |
0.61 |
|||||||
Sweet Wine |
1997 |
R3 |
12 |
102.66 |
0.214 |
12 |
128.48 |
0.48 |
|||||||
Rosé wine |
1997 |
R4 |
16 |
102.29 |
0.324 |
16 |
129.29 |
0.63 |
|||||||
Sweet Wine |
1997 |
R4 |
15 |
102.04 |
0.269 |
13 |
131.27 |
0.30 |
|||||||
White wine |
1998 |
R1 |
16 |
105.15 |
0.302 |
16 |
127.59 |
0.59 |
|||||||
Sweet Wine |
1998 |
R3 |
16 |
102.17 |
0.326 |
16 |
129.60 |
0.56 |
|||||||
Red wine |
1998 |
R4 |
17 |
102.44 |
0.306 |
17 |
131.60 |
0.47 |
|||||||
White wine |
1999 |
R1 |
14 |
102.93 |
0.404 |
13 |
129.64 |
0.46 |
|||||||
Sweet Wine |
2000 |
R2 |
15 |
103.19 |
0.315 |
14 |
129.43 |
0.60 |
|||||||
Wine |
2001 |
R1 |
12 |
105.28 |
0.264 |
16 |
131.32 |
0.68 |
|||||||
Sweet Wine |
2001 |
R2 |
14 |
101.96 |
0.249 |
15 |
128.99 |
1.05 |
|||||||
Wine |
2002 |
R1 |
17 |
101.01 |
0.365 |
16 |
129.02 |
0.74 |
|||||||
Wine |
2002 |
R2 |
17 |
101.30 |
0.531 |
17 |
129.28 |
0.93 |
|||||||
Wine |
2003 |
R1 |
18 |
100.08 |
0.335 |
18 |
128.98 |
0.77 |
|||||||
Sweet Wine |
2003 |
R2 |
17 |
100.51 |
0.399 |
18 |
128.31 |
0.80 |
|||||||
Wine |
2004 |
R1 |
18 |
102.88 |
0.485 |
19 |
128.06 |
0.81 |
|||||||
Sweet Wine |
2004 |
R3 |
16 |
101.47 |
0.423 |
16 |
130.10 |
0.71 |
|||||||
Wine |
2005 |
R1 |
19 |
101.33 |
0.447 |
19 |
129.88 |
0.76 |
|||||||
Sweet wine |
2005 |
R2 |
15 |
102.53 |
0.395 |
15 |
131.36 |
0.38 |
|||||||
Dry wine |
2006 |
R1 |
18 |
101.55 |
0.348 |
18 |
131.30 |
0.51 |
|||||||
Sweet wine |
2006 |
R2 |
18 |
100.31 |
0.299 |
18 |
127.79 |
0.55 |
|||||||
Wine |
2007 |
R1 |
18 |
103.36 |
0.403 |
18 |
130.90 |
0.90 |
|||||||
Sweet wine |
2007 |
R2 |
19 |
102.78 |
0.437 |
19 |
130.72 |
0.55 |
|||||||
Wine |
2008 |
R1 |
24 |
103.20 |
0.261 |
23 |
131.29 |
0.59 |
|||||||
Sweet wine |
2008 |
R2 |
20 |
101.79 |
0.265 |
19 |
129.73 |
0.34 |
|||||||
Dry wine |
2009 |
R1 |
24 |
102.96 |
0.280 |
23 |
130.25 |
0.49 |
|||||||
Sweet wine |
2009 |
R2 |
21 |
101.31 |
0.310 |
21 |
127.07 |
0.50 |
|||||||
Dry wine |
2010 |
R1 |
21 |
101.80 |
0.350 |
20 |
129.65 |
0.40 |
|||||||
Sparkling wine |
2010 |
R1 |
11 |
101.51 |
0.310 |
11 |
129.09 |
0.68 |
|||||||
Dry wine |
2010 |
R2 |
20 |
104.05 |
0.290 |
19 |
133.31 |
0.58 |
|||||||
[1] Specific Natural Isotope Fractionation studied by Nuclear Magnetic Resonance). Patent: France, 8122710; Europe, 824022099; USA, 854550082; Japan 57123249.