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CCM.FF-K4, EUROMET.M.FF-K4, and APMP.M.FF-K4

MEASURAND: Volume
NOMINAL VALUE: 100 mL
CCM.FF-K4 AND APMP.M.FF-K4 TRANSFER STANDARD: TS 03.04.03

Degrees of equivalence Di and expanded uncertainty Ui at approximately a 95% level of confidence

Click on the Graph below to get a closer view and the names of the participating laboratories

Red diamonds : participants in CCM.FF-K4
Blue circles : participants in EUROMET.FF-K4
Open symbols : common participants in CCM.FF-K4 and EUROMET.M.FF-K4 comparisons
Orange squares : participants in APMP.M.FF-K4

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CCM.FF-K4, EUROMET.M.FF-K4, and APMP.M.FF-K4

MEASURAND: Volume
NOMINAL VALUE: 100 mL
CCM.FF-K4 and APMP.M.FF-K4 TRANSFER STANDARD: TS 03.04.03

   
Lab iDiUi
 / 10-6/ 10-6
CENAM-716
NRC3620
SP826
INRIM-1218
NMIA1320
INMETRO-1316
IPQ*39
CMI*-3751
LNE*917
FORCE*398
PTB*-1119
NMi-VSL* 1256
UME*2283
CEM*1414
INRIM*89
OMH*-1015
EIM*103152
BEV*1335
SP*675
CENAM**-820
NMIA**720
SCL**-4372
NIM**-623
NMISA**-82106
NIMT**-14229
VMI-STAMEQ**4438
MUSSD**-67869

* participants in EUROMET.M.FF-K4
** participants in APMP.M.FF-K4

Pair-wise degrees of equivalence involving APMP.M.FF-K4 participants are given on page 18 of the APMP.M.FF-K4 Final Report.

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

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Linked comparison
EUROMET.M.FF-K4
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Metrology area, Sub-field Mass and related quantities, Fluid Flow
Description Liquid volume
Time of measurements 2002 - 2004
Status Approved for equivalence
Final Reports of the comparisons
Metrologia, 2006, 43, Tech. Suppl., 07009
Measurand Water volume: 100 mL
Parameters Temperature: 20 °C
Transfer device Two 100 ml Gay-Lussac glass pycnometers
Comparison type Key Comparison
Consultative Committee CCM (Consultative Committee for Mass and Related Quantities)
Conducted by EURAMET (European Association of National Metrology Institutes)
RMO Internal Identifier EUROMET Project No 692
Comments

EUROMET.M.FF-K4 results published on 11 October 2006
and linked to those of CCM.FF-K4 and APMP.M.FF-K4

Liquid volume
Pilot institute IPQ
Instituto Portugues da Qualidade
Portugal
Contact person E. Batista

+35 1 212 948 167
First Name Last Name
wwww@ww.www +356719836 Institute 1 Institute 1 Khmelnitskiy
Pilot laboratory
IPQ

Instituto Portugues da Qualidade, Portugal, EURAMET

BEV

Bundesamt für Eich- und Vermessungswesen, Austria, EURAMET

CEM

Centro Español de Metrologia, Spain, EURAMET

CMI

Czech Metrology Institute, Czechia, EURAMET

EIM

Hellenic Institute of Metrology, Greece, EURAMET

LNE

Laboratoire national de métrologie et d'essais, France, EURAMET

PTB

Physikalisch-Technische Bundesanstalt, Germany, EURAMET

UME

TÜBITAK Ulusal Metroloji Enstitüsü, Türkiye, EURAMET

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CCM.FF-K4, EUROMET.M.FF-K4, and APMP.M.FF-K4

  • Key comparison CCM.FF-K4

MEASURAND: Volume
NOMINAL VALUE: 100 mL
TRANSFER STANDARD: TS 03.04.03

The key comparison reference value, xR, is computed as the median of the results. Its expanded uncertainty UR is approximately given at a 95% level of confidence. The details are explained in Appendix C of the CCM.FF-K4 Final Report.
xR = 99.8942 mL and UR = 0.0012 mL

The degree of equivalence of laboratory i with respect to the key comparison reference value is given by a pair of terms, both expressed in relative value:
Di = (xi - xR)/xR and its expanded uncertainty Ui at approximately a 95% level of confidence.

The degree of equivalence between two laboratories i and j is given by a pair of terms, both expressed in relative value:
Dij = Di - Dj and its expanded uncertainty Uij at approximately a 95% level of confidence.
  • Key comparison EUROMET.M.FF-K4

MEASURAND: Volume
NOMINAL VALUE: 100 mL

The EUROMET reference value, xR-EUR, and its expanded uncertainty (k = 2), UR-EUR, are obtained from the weighted average of the EUROMET participants' results that are published here.
xR-EUR = 100.0914 mL and UR-EUR = 0.0006 mL.

The degree of equivalence of laboratory i participant in EUROMET.M.FF-K4 with respect to the EUROMET reference value is given by a pair of terms, both expressed in mL:
Di-EUR = (xi-EUR - xR-EUR) and its expanded uncertainty (k = 2), Ui-EUR, computed as Ui-EUR = 2[ui-EUR2 - (UR-EUR/2)2]1/2.

The degree of equivalence between two laboratories i and j is given by a pair of terms, both expressed in mL: Dij = (Di-EUR - Dj-EUR) and its expanded uncertainty (k = 2), Uij, expressed as Uij = 2(ui-EUR2 + uj-EUR2)1/2.
  • Linking EUROMET.M.FF-K4 to CCM.FF-K4

The EUROMET.M.FF-K4 results are linked to those obtained at 100 mL in CCM.FF-K4 with the Transfer standard TS 03.04.03.
The technical protocols and transfer standards of both comparisons are very similar, and INRIM and SP participated in both exercises with comparable performance.
The degrees of equivalence relative to the EUROMET reference value are thus transferred to the key comparison reference value determined in CCM.FF-K4 with slight changes. The resulting values of Di, Ui, Dij, and Uij are listed in Annexes 3, 4, and 5 of the EUROMET.M.FF-K4 Final Report.

The matrix of equivalence obtained at 100 mL in CCM.FF-K4 with the Transfer standard TS 03.04.03 is thus extended to EUROMET.M.FF-K4 participants (after conversion to relative values).

  • Linking APMP.M.FF-K4 to CCM.FF-K4

The linking process uses common participation of NMIA and CENAM in both key comparisons, as described in section 7 of the APMP.M.FF-K4 Final Report.
Pair-wise degrees of equivalence involving APMP.M.FF-K4 participants are given on page 18 of the APMP.M.FF-K4 Final Report.

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CCM.FF-K4, EUROMET.M.FF-K4, and APMP.M.FF-K4

MEASURAND: Volume
NOMINAL VALUE: 100 mL

Key comparison CCM.FF-K4

TRANSFER STANDARD: TS 03.04.03

xi : volume of water the transfer standard contains at a reference temperature of
20 °C, measured by laboratory i
ui : standard uncertainty of xi

 Lab i xi
/ mL		 ui
/ mL		 Date of measurement
 CENAM 99.8935 0.00077 Dec 2003
 NRC 99.8978 0.00080 Mar 2004
 SP 99.8950 0.0016 Apr 2004
 INRIM 99.8930 0.00083 Aug / Oct 2004
 NMIA 99.8955 0.0011 Oct / Dec 2004
 INMETRO 99.8929 0.00061 Feb 2005

  • Key comparison EUROMET.M.FF-K4

xi-EUR : volume of water measured by laboratory i participant in EUROMET.M.FF-K4 (see Table 6 on page 8 of the Final Report)
ui-EUR : standard uncertainty of xi-EUR

 Lab i xi-EUR
/ mL		 ui-EUR
/ mL		 Date of measurement
 IPQ 100.0917 0.0012 Mar 2003
 CMI 100.0878 0.0028 Nov 2002
 LNE 100.0924 0.0007 Jan 2003
 FORCE

100.0918

0.0050

Feb 2003

 PTB

100.0903

0.0006

Mar 2003

 NMi-VSL

100.0926

0.0030

Apr 2003

 UME

100.0936

0.0043

Jun 2003

 CEM

100.0928

0.0009

Jul 2003

 INRIM

100.0922

0.0012

Sep 2003

 OMH

100.0904

0.0008

Nov 2003

 EIM 100.1017 0.0077 Dec 2003
 BEV 100.0927 0.00205 Jan 2004
 SP 100.0920 0.0039 Mar 2004

  • Key comparison APMP.M.FF-K4

TRANSFER STANDARD : TS 03.04.03

xi-APMP : volume of water measured by laboratory i participant in APMP.M.FF-K4
Ui-APMP : expanded uncertainty (k = 2, unless otherwise stated) of xi-APMP

 Lab i xi-APMP
/ mL		 Ui-APMP
/ mL		 Date of measurement
 CENAM 99.4028 0.0027 (k = 2.02) Jul 06
 NMIA 99.4040 0.0020 Jul - Aug 06
 SCL 99.3992 0.0070 Aug - Sep 06
 NIM

99.4029

0.0016 (k = 1.96)

Oct 06

 NMISA

99.3953

0.0104 (k = 2.37)

Nov 06 - Jan 07

 NIMT

99.3894

0.0024

Jan - Feb 07

 VMI-STAMEQ

99.4078

0.0034

Jun 07

 MUSSD

99.3360

0.0067

Jul 07

 NMIA 99.4048 0.0020 Jul - Aug 07