CCQM-K4, EUROMET.QM-K4, APMP.QM-K4, APMP.QM-K4.1,
and EURAMET.QM-K4.1

MEASURAND : Amount-of-substance fraction of ethanol in air
NOMINAL VALUE : 120 µmol/mol

Degrees of equivalence Di = (xi - xigrav) and expanded uncertainty Ui (k = 2) expressed in µmol/mol

Red diamonds : participants in CCQM-K4 (1999)
Green triangles : participants in EUROMET.QM-K4 (2000 - 2001)
Blue circles : participants in APMP.QM-K4 (2000)
Orange squares : participants in APMP.QM-K4.1 (2005 - 2006)
Pink crosses : participants in EURAMET.QM-K4.1 (2009)

CCQM-K4, EUROMET.QM-K4, APMP.QM-K4, APMP.QM-K4.1,
and EURAMET.QM-K4.1

MEASURAND : Amount-of-substance fraction of ethanol in air
NOMINAL VALUE : 120 µmol/mol

Degrees of equivalence Di = (xi - xigrav) and expanded uncertainty Ui (k = 2) expressed in µmol/mol

   
Lab iDiUi
 /(µmol/mol)/(µmol/mol)
BNM-LNE0.812.70
NPL0.011.00
VNIIM4.030.71
NIST1.021.20
NMi-VSL-0.041.20
NRCCRM-8.682.00
NMIJ0.280.47
OMH-1.090.45
   
BNM-LNE-0.941.20
NPL0.090.51
VNIIM0.081.20
CSIR-NML0.221.56
IPQ0.031.09
SMU0.200.61
   
CMS/ITRI0.123.54
KRISS-1.300.82
NMIJ-0.140.48
CSIR-NML0.590.81
   
CERI-0.010.41
KRISS0.050.47
NIM3.222.33

In red : participants in CCQM-K4 (1999)
In green : participants in EUROMET.QM-K4 (2000 - 2001)
In blue : participants in APMP.QM-K4 (2000)
In orange : participants in APMP.QM-K4.1 (2005 - 2006)
In pink : participants in EURAMET.QM-K4.1 (2009)

The pair-wise degrees of equivalence between participants in CCQM-K4 or EUROMET.QM-K4 and participants in APMP.QM-K4 and APMP.QM-K4.1 are not explicitely computed. No pair-wise degrees of equivalence involving EURAMET.QM-K4.1 participants have been computed.

Results are presented under A4 printable format in Summary results (PDF file).

Comparison
Comparison close
CC comparison
Linked comparison
APMP.QM-K4.1
Metrology area, Sub-field Chemistry and Biology, Gases
Description Ethanol in nitrogen
Time of measurements 2005 - 2006
Status Approved for equivalence
Final Reports of the comparisons
Measurand Amount-of-substance fraction: 120 µmol/mol
Transfer device Calibrated gas cylinders
Comparison type Key Comparison
Consultative Committee CCQM (Consultative Committee for Amount of Substance)
Conducted by APMP (Asia Pacific Metrology Programme)
Comments

Results published on 5 June 2008

EUROMET.QM-K4, APMP.QM-K4, APMP.QM-K4.1, and EURAMET.QM-K4.1 results are linked to those of CCQM-K4

Pilot institute NMIJ AIST
National Metrology Institute of Japan
Japan
Contact person Kenji Kato

+ 81 29 861 4841
First Name Last Name
wwww@ww.www +356719836 Institute 1 Institute 1 Khmelnitskiy
CERI

Chemicals Evaluation and Research Institute, Japan, APMP

KRISS

Korea Research Institute of Standards and Science, Korea, Republic of, APMP

NIM

National Institute of Metrology, China, APMP

CCQM-K4, EUROMET.QM-K4, APMP.QM-K4, APMP.QM-K4.1,
and EURAMET.QM-K4.1

MEASURAND : Amount-of-substance fraction of ethanol in air
NOMINAL VALUE : 120 µmol/mol

  • Key comparison CCQM-K4

Key comparison reference value: there is no single key comparison reference value for CCQM-K4, the value xigrav is taken as the reference value for laboratory i participant in CCQM-K4.

The degree of equivalence of laboratory i participant in CCQM-K4 with respect to the reference value is given by a pair of terms: Di = (xi - xigrav) and Ui, its expanded uncertainty (k = 2), both expressed in µmol/mol, Ui = 2(ui2 + uigrav2)1/2.

The degree of equivalence between two laboratories i and j participant in CCQM-K4 is given by a pair of terms: Dij =(Di - Dj) and Uij, its expanded uncertainty (k = 2), both expressed in µmol/mol, Uij = (Ui2 + Uj2)1/2.
  • Key comparison EUROMET.QM-K4

The gravimetric value xigrav-EUR is taken as the reference value for laboratory i participant in EUROMET.QM-K4.

The degree of equivalence of laboratory i participant in EUROMET.QM-K4 with respect to the reference value is given by a pair of terms:
Di-EUR = (xi-EUR - xigrav-EUR) and Ui-EUR, its expanded uncertainty (k = 2), both expressed in µmol/mol, Ui-EUR = 2(ui-EUR2 + uigrav-EUR2)1/2.
  • Key comparison APMP.QM-K4

The gravimetric value xigrav-APMP is taken as the reference value for laboratory i participant in APMP.QM-K4.

The degree of equivalence of laboratory i participant in APMP.QM-K4 with respect to the reference value is given by a pair of terms:
Di-APMP = (xi-APMP - xigrav-APMP) and Ui-APMP, its expanded uncertainty (k = 2), both expressed in µmol/mol, Ui-APMP = 2(ui-APMP2 + uigrav-APMP2)1/2.

  • Key comparison APMP.QM-K4.1

The gravimetric value xigrav-APMP1 is taken as the reference value for laboratory i participant in APMP.QM-K4.1.

The degree of equivalence of laboratory i participant in APMP.QM-K4.1 with respect to the reference value is given by a pair of terms:
Di-APMP1 = (xi-APMP1 - xigrav-APMP1) and Ui-APMP1, its expanded uncertainty (k = 2), both expressed in µmol/mol, Ui-APMP1 = 2(ui-APMP12 + uigrav-APMP12)1/2.

  • Key comparison EURAMET.QM-K4.1

The gravimetric value xigrav-EUR1 is taken as the reference value for laboratory i participant in EURAMET.QM-K4.1.

The degree of equivalence of laboratory i participant in EURAMET.QM-K4.1 with respect to the reference value is given by a pair of terms:
Di-EUR1 = (xi-EUR1 - xigrav-EUR1) and Ui-EUR1, its expanded uncertainty (k = 2), both expressed in µmol/mol. Ui-EUR1 is computed according to equation 8 of the EURAMET.QM-K4.1 Final Report.
  • Linking EUROMET.QM-K4 and to CCQM-K4

The range of gravimetric values of the standards used in both comparisons is very small, so both comparisons are referred to the same nominal amount-of-substance fraction of 120 µmol/mol.

The link between EUROMET.QM-K4 and CCQM-K4 is given by the gravimetric values delivered by NPL for both comparisons.

The laboratories common to both comparisons are the BNM-LNE, the NPL and the VNIIM. The result of VNIIM deviated significantly from the reference value in CCQM-K4. The degrees of equivalence of BNM-LNE and NPL obtained in both comparisons are given in the following table:

CCQM-K4 EUROMET.QM-K4
Di
/ (µmol/mol)
Ui
/ (µmol/mol)
Di-EUR
/ (µmol/mol)
Ui-EUR
/ (µmol/mol)
BNM-LNE 0.81 2.70 -0.94 1.20
NPL 0.01 1.00 0.09 0.51

Since the results from both BNM-LNE and NPL are comparable with the gravimetric values within their claimed uncertainty in both comparisons, they provide validation that the gravimetric values act as valid reference values. It follows that:

The degrees of equivalence with respect to the reference value obtained in EUROMET.QM-K4 are transferred to CCQM-K4 without correction:
Di = Di-EUR and Ui = Ui-EUR.
  • Linking APMP.QM-K4 to CCQM-K4

The range of gravimetric values of the standards used in both comparisons is very small, so both comparisons are referred to the same nominal amount-of-substance fraction of 120 µmol/mol.

The link between APMP.QM-K4 and CCQM-K4 is given by the gravimetric values delivered by NMIJ for APMP.QM-K4 and by NPL for CCQM-K4.

The laboratory common to both comparisons is NMIJ. The degrees of equivalence of NMIJ obtained in both comparisons are given in the following table:

CCQM-K4 APMP.QM-K4
Di
/ (µmol/mol)
Ui
/ (µmol/mol)
Di-APMP
/ (µmol/mol)
Ui-APMP
/ (µmol/mol)
NMIJ 0.28 0.47 -0.14 0.48

Since the results from NMIJ are comparable with the gravimetric values within their claimed uncertainty in both comparisons, they provide validation that the gravimetric values act as valid reference values. It follows that:

The degrees of equivalence with respect to the reference values obtained in APMP.QM-K4 are transferred to CCQM-K4 without correction:
Di = Di-APMP and Ui = Ui-APMP.
  • Linking APMP.QM-K4.1 to CCQM-K4

Discussion on the link is given on page 3 of the APMP.QM-K4.1 Final Report.

CERI, which participated in CCQM-K4 in the name of NMIJ, acts as the linking laboratory between key comparisons APMP.QM-K4.1 and CCQM-K4.

The degrees of equivalence with respect to the reference values obtained in APMP.QM-K4.1 are transferred to CCQM-K4 without correction:
Di = Di-APMP1 and Ui = Ui-APMP1.

The degree of equivalence between two laboratories i and j, one and the other participant in any one of the four comparisons CCQM-K4, EUROMET.QM-K4, APMP.QM-K4, and APMP.QM-K4.1 is given by a pair of terms: Dij =(Di - Dj) and Uij, its expanded uncertainty (k = 2), Uij = (Ui2 + Uj2)1/2, both expressed in µmol/mol.

  • Linking EURAMET.QM-K4.1 to CCQM-K4

The range of gravimetric values of the standards used in both comparisons is very small, so both comparisons are referred to the same nominal amount-of-substance fraction of 120 µmol/mol.

The link between EURAMET.QM-K4.1 and CCQM-K4 is given by the gravimetric values delivered by VSL for EURAMET.QM-K4.1 and by NPL for CCQM-K4.

The laboratories common to both comparisons are NPL and VSL. Their degrees of equivalence obtained in both comparisons are given in the following table:

CCQM-K4 EURAMET.QM-K4.1
Di
/ (µmol/mol)
Ui
/ (µmol/mol)
Di-EUR
/ (µmol/mol)
Ui-EUR
/ (µmol/mol)
NPL 0.01 1.00 -0.19 0.75
VSL -0.04 1.20 -0.01 1.06

Since the results from both NPL and VSL are comparable with the gravimetric values within their claimed uncertainties in both comparisons, they provide validation that the gravimetric values act as valid reference values. It follows that:

The degrees of equivalence with respect to the reference values obtained in EURAMET.QM-K4.1 are transferred to CCQM-K4 without correction:
Di = Di-EUR1 and Ui = Ui-EUR1.

These statements make it possible to extend the CCQM-K4 matrix of equivalence to the full matrix of equivalence involving all participants in CCQM-K4, EUROMET.QM-K4, APMP.QM-K4, APMP.QM-K4.1, and EURAMET.QM-K4.1.

In the following the pair-wise degrees of equivalence are explicitely computed between CCQM-K4 and EUROMET.QM-K4, and inside APMP.QM-K4 and APMP.QM-K4.1. No pair-wise degrees of equivalence involving EURAMET.QM-K4.1 participants have been computed.

CCQM-K4, EUROMET.QM-K4, APMP.QM-K4, APMP.QM-K4.1,
and EURAMET.QM-K4.1

MEASURAND : Amount-of-substance fraction of ethanol in air
NOMINAL VALUE: 120 µmol/mol

  • Key comparison CCQM-K4

xi : result of measurement carried out by laboratory i
ui : combined standard uncertainty of xi
xigrav : gravimetric value of the ethanol amount-of-substance fraction in the cylinder received by laboratory i
uigrav : combined standard uncertainty of xigrav

 Lab i xi
/ (µmol/mol)
ui
/ (µmol/mol)
xigrav
/ (µmol/mol)
uigrav
/ (µmol/mol)
Date of measure
 BNM-LNE 121.40 1.35 120.59 0.05 Aug 99
 NPL 120.50 0.50 120.49 0.05 Oct 99
 VNIIM 124.70 0.35 120.67 0.05 Jun 99
 NIST 121.50 0.60 120.48 0.05 Mar 99
 NMi-VSL 120.80 0.60 120.84 0.05 May 99
 NRCCRM 112.0 1.0 120.68 0.05 Jul 99
 NMIJ 121.04 0.23 120.76 0.05 Apr 99
 OMH 119.30 0.22 120.39 0.05 May 99

  • Key comparison EUROMET.QM-K4

xi-EUR : result of measurement carried out by laboratory i
ui-EUR : combined standard uncertainty of xi-EUR
xigrav-EUR : gravimetric value of the ethanol amount-of-substance fraction in the cylinder received by laboratory i
uigrav-EUR : combined standard uncertainty of xigrav-EUR

 Lab i xi-EUR
/ (µmol/mol)
ui-EUR
/ (µmol/mol)
x igrav-EUR
/ (µmol/mol)
uigrav-EUR
/ (µmol/mol)
Date of measure
 BNM-LNE 119.10 0.60 120.04 0.05 Dec 00
 NPL 119.08 0.25 118.99 0.05 Nov 00
 VNIIM 118.60 0.60 118.52 0.05 Dec 00
 CSIR-NML 119.20 0.78 118.99 0.05 Dec 00
 IPQ 119.65 0.55 119.62 0.05 Nov 00
 SMU 118.88 0.30 118.68 0.05 Apr 01
CSIR-NML originally submitted an expanded uncertainty (k = 2) of 3.2 µmol/mol.

However, an error in the calculation of this uncertainty was identified some time after the report had been submitted. Subsequently, CSIR-NML submitted an amended report containing a corrected value of 1.56 µmol/mol. This change in the value of the uncertainty was approved in the 8th CCQM meeting held on 18 and 19 April 2002.

  • Key comparison APMP.QM-K4

xi-APMP : result of measurement carried out by laboratory i
ui-APMP : combined standard uncertainty of xi-APMP
xigrav-APMP : gravimetric value of the ethanol amount-of-substance fraction in the cylinder received by laboratory i
uigrav-APMP : combined standard uncertainty of xigrav-APMP

 Lab i xi-APMP
/ (µmol/mol)

ui-APMP
/ (µmol/mol)

x igrav-APMP
/ (µmol/mol)
uigrav-APMP
/ (µmol/mol)
Date of measure
 CMS/ITRI 121.27 1.76 121.15 0.184 Nov, Dec 00
 KRISS

120.27

0.37 121.57 0.185 Jul, Aug, Nov 00
 NMIJ 119.31 0.16 119.45 0.182 Jun 00
 CSIR-NML 122.31 0.36 121.72 0.185 Dec 00
CSIR-NML originally submitted an expanded uncertainty (k = 2) of 4.1 µmol/mol.

However, an error in the calculation of this uncertainty was identified some time after the report had been submitted. Subsequently, CSIR-NML submitted an amended report containing a corrected value of 0.72 µmol/mol. This change in the value of the uncertainty was approved in the CCQM Gas Analysis Working Group meeting held in October 2003.

  • Key comparison APMP.QM-K4.1

xi-APMP1 : result of measurement carried out by laboratory i
ui-APMP1 : combined standard uncertainty of xi-APMP1
xigrav-APMP1 : gravimetric value of the ethanol amount-of-substance fraction in the cylinder received by laboratory i
uigrav-APMP1 : combined standard uncertainty of xigrav-APMP1

 Lab i xi-APMP1
/ (µmol/mol)

ui-APMP1
/ (µmol/mol)

x igrav-APMP1
/ (µmol/mol)
uigrav-APMP1
/ (µmol/mol)
Date of measure
 CERI 110.20 0.187 110.21 0.08 Nov 05
 KRISS

105.37

0.223 105.32 0.08 Apr 06
 NIM 116.4 1.164 113.18 0.08 Jan, Fev 06

  • Key comparison EURAMET.QM-K4.1

xi-EUR1 : result of measurement carried out by laboratory i
ui-EUR1 : combined standard uncertainty of xi-EUR1
xigrav-EUR1 : gravimetric value of the ethanol amount-of-substance fraction in the cylinder received by laboratory i
uigrav-EUR1 : combined standard uncertainty of xigrav-EUR1

 Lab i xi-EUR1
/ (µmol/mol)
ui-EUR1
/ (µmol/mol)
x igrav-EUR1
/ (µmol/mol)
uigrav-EUR1
/ (µmol/mol)
Date of measure
 CEM 120.0 1.9 120.66 0.32 Nov 09
 INMETRO 121.4 0.8 120.25 0.32 Sep 09
 NMISA 120.79 0.49 120.45 0.32 Dec 09
 NPL

120.6

0.2

120.79

0.32

Sep 09

 VNIIM 119.04 0.25 120.36 0.32 Nov 09
 VSL 120.65 0.42 120.66 0.32 Aug 09