Comparison Display

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 D_i and expanded uncertainty U_i (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 D_i and expanded uncertainty U_i (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, D_i and expanded uncertainty U_i (k = 2), for all pressure values

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


Lab i	D_i	U_i
p = 100 kPa	/ 10^-6	/ 10^-6
NIST	6.3	17.5
INRIM	-1.8	15.2
PTB	4.7	9.9
LNE	-0.9	6.8
NMi-VSL*	3.6	32
BEV*	14	60
CMI*	4.7	14.4
VNIIM*	-21	22
CEM*	-1.1	16.2
IPQ*	1.8	46
VNIIM**	-13	27
VMT/VMC**	-4.6	48
SMU**	11	39
BelGIM**	26	65
INM(RO)**	71	64
p = 600 kPa
NIST	-3.6	22.2
INRIM	-3.0	13.5
PTB	4.2	7.5
LNE	-0.2	6.0
NMi-VSL*	2.4	32
BEV*	12	40
CMI*	6.9	13.6
VNIIM*	-20	19.2
CEM*	-4.2	16.2
IPQ*	-0.2	46
p = 1000 kPa
NIST	-2.8	26.1
INRIM	-1.5	13.3
PTB	4.2	7.6
LNE	0.6	5.9
NMi-VSL*	0.9	32
BEV*	17	40
CMI*	7.3	13.2
VNIIM*	-22	19.2
CEM*	-3.7	16.2
IPQ*	0.2	46

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, D_i and expanded uncertainty U_i (k = 2), for all pressure values


Lab i	D_i	U_i
p = 100 kPa	/ 10^-6	/ 10^-6
NIST	4.9	17.4
INRIM	4.7	15.3
PTB	0.6	10.0
LNE	-4.0	6.8
p = 600 kPa
NIST	-0.5	22.2
INRIM	-0.6	13.5
PTB	0.7	7.5
LNE	-1.8	5.9
p = 1000 kPa
NIST	-1.2	26.1
INRIM	-1.0	13.3
PTB	1.4	7.5
LNE	-2.7	5.9

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

Comparison

Comparison close

CCM.P-K1.b

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Information & contact
Participants

Metrology area, Sub-field	Mass and related quantities, Pressure
Description	Pressure measurements, Phase A2 (gauge mode)
Time of measurements	1995 - 1997
Status	Approved for equivalence

Final Reports of the comparisons	Metrologia, 1999, 36, 663-668
Measurand	Effective area of piston-cylinder units Nominal area: 10 cm²
Parameters	Pressure: 50 kPa to 1 MPa
Transfer device	Two piston-cylinder units, serial numbers DH 6594 and DHI 107

Comparison type	Key Comparison
Consultative Committee	CCM (Consultative Committee for Mass and Related Quantities)
Conducted by	CCM (Consultative Committee for Mass and Related Quantities)
Comments	"Phase A2" is the second of a series of 3 measurements phases described in Report of the 6th Meeting of the CCM , 1996, G35-36. The other phases, "Phase A1" and "Phase B", correspond respectively to key comparison CCM.P-K1.a and CCM.P-K1.c. Results published on 01 June 2001 EUROMET.M.P-K3.a and COOMET.M.P-K1 results are linked to those of CCM.P-K1.b Pressure: effective area of piston-cylinder units
Pilot institute	LNE Laboratoire national de métrologie et d'essais France
Contact person	J. C. Legras +33 (0) 1 40 43 38 08

BNM-LNE

Bureau National de Métrologie - Laboratoire National d'Essais, France, EURAMET

CNR-IMGC

Consiglio Nazionale delle Ricerche - Istituto di Metrologia G. Colonnetti (until 2006), Italy, EURAMET

NIST	National Institute of Standards and Technology, United States, SIM

PTB	Physikalisch-Technische Bundesanstalt, Germany, EURAMET

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

The degree of equivalence of each laboratory with respect to the reference value is given by a pair of terms:
D_i = (x_i- x_R) / x_R, the relative deviation from the reference value, and
U_i = 2(u_i²+ u_R²)^1/2/ x_R, its expanded uncertainty (k = 2).

The degree of equivalence between two laboratories is given by a pair of terms:
D_ij = D_i- D_j = (x_i - x_j) / x_R, the relative difference between their results, and
U_ij = 2(u_i²+ u_j²)^1/2/ x_R, 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, D_i, and its expanded uncertainty (k = 2), U_i, 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 D_ij and its expanded uncertainty (k = 2), U_ij, 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, D_i, and its expanded uncertainty (k = 2), U_i, 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, x_R, is obtained as the average value of 24 individual results (6 results per participating laboratory, for pressure from 100 kPa to 1000 kPa).
x_R = 980.5211 mm²
The standard uncertainty of the reference value, u_R, is taken as the experimental standard deviation of the mean (24 values). u_R / x_R = 0.47 . 10^-6_.

The degree of equivalence of each laboratory with respect to the reference value is given by a pair of terms:
D_i = (x_i- x_R)/x_R, the relative deviation from the reference value, and
U_i = 2(u_i²+ u_R²)^1/2/ x_R, its expanded uncertainty (k = 2).

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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

x_i : result of measurement carried out by laboratory i
u_i : combined standard uncertainty of x_i

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

x_i : result of measurement carried out by laboratory i
u_i : combined standard uncertainty of x_i

Key comparison COOMET.M.P-K1

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

x_i : 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
u_i : combined standard uncertainty of x_i