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CCM.P-K1.b, EUROMET.M.P-K3.a, and COOMET.M.P-K1

MEASURAND : Effective area of Piston-cylinder units DH 6594 and VNIIM-7

Degrees of equivalence Di and expanded uncertainty Ui (k = 2) expressed in 10-6

Red diamonds: participants in CCM.P-K1.b
Green triangles: participants in EUROMET.M.P-K3.a only
Blue squares: participants in COOMET.M.P-K1 only

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MEASURAND : Effective area of Piston-cylinder DHI 107 from 50 kPa to 1 MPa NOMINAL VALUE : 10 cm2

Degrees of equivalence Di and expanded uncertainty Ui (k = 2) expressed in 10-6

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CCM.P-K1.b, EUROMET.M.P-K3.a, and COOMET.M.P-K1

MEASURAND : Effective area of Piston-cylinder units DH 6594 and VNIIM-7

Degrees of equivalence relative to the reference value, Di and expanded uncertainty Ui (k = 2), for all pressure values

* participants in EUROMET.M.P-K3.a only
** participants in COOMET.M.P-K1 only

   
Lab iDiUi
p = 100 kPa/ 10-6/ 10-6
NIST6.317.5
INRIM-1.815.2
PTB4.79.9
LNE-0.96.8
NMi-VSL*3.632
BEV*1460
CMI*4.714.4
VNIIM*-2122
CEM*-1.116.2
IPQ*1.846
VNIIM**-1327
VMT/VMC**-4.648
SMU**1139
BelGIM**2665
INM(RO)**7164
p = 600 kPa  
NIST-3.622.2
INRIM-3.013.5
PTB4.27.5
LNE-0.26.0
NMi-VSL*2.432
BEV*1240
CMI*6.913.6
VNIIM*-2019.2
CEM*-4.216.2
IPQ*-0.246
p = 1000 kPa  
NIST-2.826.1
INRIM-1.513.3
PTB4.27.6
LNE0.65.9
NMi-VSL*0.932
BEV*1740
CMI*7.313.2
VNIIM*-2219.2
CEM*-3.716.2
IPQ*0.246

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

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MEASURAND : Effective area of Piston-cylinder DHI 107 from 50 kPa to 1 MPa NOMINAL VALUE : 10 cm2

Degrees of equivalence relative to the reference value, Di and expanded uncertainty Ui (k = 2), for all pressure values

 

   
Lab iDiUi
p = 100 kPa/ 10-6/ 10-6
NIST4.917.4
INRIM4.715.3
PTB0.610.0
LNE-4.06.8
p = 600 kPa  
NIST-0.522.2
INRIM-0.613.5
PTB0.77.5
LNE-1.85.9
p = 1000 kPa  
NIST-1.226.1
INRIM-1.013.3
PTB1.47.5
LNE-2.75.9

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

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Linked comparison
EUROMET.M.P-K3.a
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Metrology area, Sub-field Mass and related quantities, Pressure
Description Pressure measurements in gas (gauge mode)
Time of measurements 2000 - 2001
Status Approved for equivalence
Final Reports of the comparisons
Metrologia, 2007, 44, Tech. Suppl., 07010
Measurand Pressure: 50 kPa to 1 MPa
Transfer device One piston-cylinder unit, serial number DH 6594
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 439, phase A
Comments

Results published on 05 November 2007

EUROMET.M.P-K3.a and COOMET.M.P-K1 results are linked to those of CCM.P-K1.b

Pressure: effective area of a piston-cylinder unit
Pilot institute LNE
Laboratoire national de métrologie et d'essais
France
Contact person J. C. Legras

+33 (0) 1 40 43 38 08
Additional
First Name Last Name
wwww@ww.www +356719836 Institute 1 Institute 1 Khmelnitskiy
Pilot laboratory
LNE

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

BEV

Bundesamt für Eich- und Vermessungswesen, Austria, EURAMET

CEM

Centro Español de Metrologia, Spain, EURAMET

CMI

Czech Metrology Institute, Czechia, EURAMET

IPQ

Instituto Portugues da Qualidade, Portugal, EURAMET

NMi-VSL

Nederlands Meetinstituut - Van Swinden Laboratorium (became VSL in 2009), Netherlands, EURAMET

NPL

National Physical Laboratory, United Kingdom, EURAMET

VNIIM

D.I. Mendeleyev Institute for Metrology, Rosstandart, Russian Federation, COOMET

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CCM.P-K1.b, EUROMET.M.P-K3.a, and COOMET.M.P-K1

MEASURAND : Effective area of Piston-cylinder units DH 6594 and VNIIM-7

  • Key comparison CCM.P-K1.b

The key comparison reference value, xR, is obtained as the average value of 24 individual results (6 results per participating laboratory, for pressure from 100 kPa to 1000 kPa).
xR = 980.4929 mm2
The standard uncertainty of the reference value, uR, is taken as the experimental standard deviation of the mean (24 values). uR / xR = 0.65 . 10-6.

The degree of equivalence of each laboratory with respect to the reference value is given by a pair of terms:
Di = (xi - xR) / xR, the relative deviation from the reference value, and
Ui = 2(ui2 + uR2)1/2 / xR, its expanded uncertainty (k = 2).

The degree of equivalence between two laboratories is given by a pair of terms:
Dij = Di - Dj = (xi - xj) / xR, the relative difference between their results, and
Uij = 2(ui2 + uj2)1/2 / xR, its expanded uncertainty (k = 2).
The full matrices of equivalence are computed for the pressures 100 kPa, 600 kPa and 1000 kPa.
  • Linking EUROMET.M.P-K3.a to CCM.P-K1.b

Linkage between EUROMET.M.P-K3.a and CCM.P-K1.b results using Piston-cylinder DH 6594 is obtained from the common participation of the LNE in both key comparisons. Details of computation are given in Sections 5 and 6 of the EUROMET.M.P-K3.a Final Report.

The degree of equivalence of the EUROMET.M.P-K3.a participants with respect to the key comparison reference value is given by a pair of terms: a relative offset, Di, and its expanded uncertainty (k = 2), Ui, computed as stated on page 9 of the EUROMET.M.P-K3.a Final Report. This uncertainty includes a component related to the transfer standard stability.

The degree of equivalence between two laboratories is given by the observed relative difference Dij and its expanded uncertainty (k = 2), Uij, calculated as the quadratic combination of the two laboratory uncertainties and the uncertainty related to the transfer standard stability.
The matrices of equivalence obtained in CCM.P-K1.b for nominal pressures 100 kPa, 600 kPa, and 1000 kPa using Piston-Cylinder DH 6594 are extended with pair-wise degrees of equivalence involving the participants in EUROMET.M.P-K3.a.
  • Linking COOMET.M.P-K1 to CCM.P-K1.b

Linkage between COOMET.M.P-K1 and CCM.P-K1.b results is obtained from the common participation of the PTB in both key comparisons. Details of computation are given in Sections 9 of the COOMET.M.P-K1 Final Report.

The degree of equivalence of the COOMET.M.P-K1 participants with respect to the key comparison reference value is given by a pair of terms: a relative offset, Di, and its expanded uncertainty (k = 2), Ui, computed as stated on page 18 of the COOMET.M.P-K1 Final Report. This uncertainty includes a component related to the transfer standard stability.

The matrix of equivalence obtained in CCM.P-K1.b for nominal pressure 100 kPa is extended with pair-wise degrees of equivalence involving the participants in EUROMET.M.P-K3.a and COOMET.M.P-K1.
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MEASURAND : Effective area of Piston-cylinder DHI 107 from 50 kPa to 1 MPa NOMINAL VALUE : 10 cm2

The key comparison reference value, xR, is obtained as the average value of 24 individual results (6 results per participating laboratory, for pressure from 100 kPa to 1000 kPa).
xR = 980.5211 mm2
The standard uncertainty of the reference value, uR, is taken as the experimental standard deviation of the mean (24 values).  uR / xR = 0.47 . 10-6.

The degree of equivalence of each laboratory with respect to the reference value is given by a pair of terms:
Di = (xi - xR)/xR, the relative deviation from the reference value, and
Ui = 2(ui2 + uR2)1/2 / xR, its expanded uncertainty (k = 2).

The degree of equivalence between two laboratories is given by a pair of terms:
Dij = Di - Dj = (xi - xj) / xR, the relative difference between their results, and
Uij = 2(ui2 + uj2)1/2 / xR, its expanded uncertainty (k = 2).
The full matrices of equivalence are computed for the pressures 100 kPa, 600 kPa and 1000 kPa.
Comparison
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CCM.P-K1.b, EUROMET.M.P-K3.a, and COOMET.M.P-K1

  • Key comparison CCM.P-K1.b

MEASURAND : Effective area of Piston-cylinder DH 6594 from 50 kPa to 1 MPa
NOMINAL VALUE : 10 cm2

xi : result of measurement carried out by laboratory i
ui : combined standard uncertainty of xi

  • Key comparison EUROMET.M.P-K3.a

MEASURAND : Effective area of Piston-cylinder DH 6594 from 50 kPa to 1 MPa
NOMINAL VALUE : 10 cm2

xi : result of measurement carried out by laboratory i
ui : combined standard uncertainty of xi

  • Key comparison COOMET.M.P-K1

MEASURAND : Effective area of Piston-cylinder VNIIM-7 from 50 kPa to 500 kPa
NOMINAL VALUE : 5 cm2

xi : result of measurement carried out by laboratory i, based on the arithmetic average of at least 10 experimental points using one or several standards as a reference
ui : combined standard uncertainty of xi

VNIIM and PTB maintain primary standards, the other participants in COOMET.M.P-K1 maintain secondary standards.

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MEASURAND : Effective area of Piston-cylinder DHI 107 from 50 kPa to 1 MPa NOMINAL VALUE : 10 cm2

xi : result of measurement carried out by laboratory i
ui : combined standard uncertainty of xi