CCM.D-K1 and EURAMET.M.D-K1.1

MEASURAND        Density

NOMINAL VALUE      2329 kg/m3

ARTIFACT                   1 kg silicon sphere

 

Degrees of equivalence represented by Di = (xI - xR) and its expanded uncertainty Ui at a 95 % level of confidence, both expressed in kg/m3.

Density of a 1 kg sphere
Di / (kg/m3)
Participating institutes

(a) Silicon sphere PTB02 at 1001 g

(b) Silicon sphere NPL01 at 984 g

CCM.D-K1 and EURAMET.M.D-K1.1

MEASURAND        Density

NOMINAL VALUE      2329 kg/m3

ARTIFACT                   0.2 kg sphere (EURAMET.M.D-K1.1), 1 kg sphere (CCM.D-K1)

 

Degrees of equivalence represented by Di = (xI - xR) and its expanded uncertainty Ui at a 95 % level of confidence, both expressed in kg/m3.

Density of a 0.2 kg sphere
Di / (kg/m3)
Participating institutes

(1) data representing sphere of 1 kg to which EUAMET.M.D-K1.1 at 0.2 kg is linked

(a) Silicon sphere BEV11 at 200 g

(b) Silicon sphere SiK2 at 239 g

CCM.D-K1 and EURAMET.M.D-K1.1

MEASURAND        Density

NOMINAL VALUE      2329 kg/m3

ARTIFACT                   35 g sphere (EURAMET.M.D-K1.1), 1 kg sphere (CCM.D-K1)

 

Degrees of equivalence represented by Di = (xI - xR) and its expanded uncertainty Ui at a 95 % level of confidence, both expressed in kg/m3.

Density of a 35 g sphere
Di / (kg/m3)
Participating institutes

(1) data representing sphere of 1 kg to which EUAMET.M.D-K1.1 at 0.2 kg is linked

(a) Silicon sphere CZ2KB at 35 g

(b) Silicon sphere CZ2KA at 35 g

CCM.D-K1 and EURAMET.M.D-K1.1

MEASURAND        Volume

NOMINAL VALUE      430 cm3

ARTIFACT                   1 kg silicon sphere

 

Degrees of equivalence represented by Di = (xI - xR) and its expanded uncertainty Ui at a 95 % level of confidence, both expressed in mm3.

Volume of a 1 kg sphere
Di / mm3
Participating institutes

(a) Silicon sphere PTB02 at 430 cm3

(b) Silicon sphere NPL01 at 422 cm3

CCM.D-K1 and EURAMET.M.D-K1.1

MEASURAND        Volume

NOMINAL VALUE      100 cm3

ARTIFACT                   0.2 kg sphere (EURAMET.M.D-K1.1), 1 kg sphere (CCM.D-K1)

 

Degrees of equivalence represented by Di = (xI - xR) and its expanded uncertainty Ui at a 95 % level of confidence, both expressed in mm3.

Volume of a 0.2 kg sphere
Di / mm3
Participating institutes

(1) data representing sphere of 1 kg to which EUAMET.M.D-K1.1 at 0.2 kg is linked

(a) Silicon sphere BEV11 at 85.9 cm3

(b) Silicon sphere SiK2 at 102 cm3 

CCM.D-K1 and EURAMET.M.D-K1.1

MEASURAND        Volume

NOMINAL VALUE      15 cm3

ARTIFACT                   35 g sphere (EURAMET.M.D-K1.1), 1 kg sphere (CCM.D-K1)

 

Degrees of equivalence represented by Di = (xI - xR) and its expanded uncertainty Ui at a 95 % level of confidence, both expressed in mm3.

Volume of a 35 g sphere
Di / mm3
Participating institutes

(1) data representing sphere of 1 kg to which EUAMET.M.D-K1.1 at 0.2 kg is linked

(a) Silicon sphere CZ2KB at 14.9 cm3

(b) Silicon sphere CZ2KA at 14.9 cm3

CCM.D-K1 and EURAMET.M.D-K1.1

MEASURAND        Density

NOMINAL VALUE      2329 kg/m3

ARTIFACT                   1 kg silicon sphere

 

Degrees of equivalence represented by Di = (xI - xR) and its expanded uncertainty Ui at a 95 % level of confidence, both expressed in kg/m3.

LABi Di Uneg,i Upos,i
kg/m3
kg/m3
kg/m3
NMIJ -1.04E-04 2.40E-04
PTB -1.35E-04 3.73E-03
INRIM -2.00E-04 3.99E-03
KRISS 9.22E-04 1.11E-03
METAS 4.59E-03 4.58E-03
NRC -3.78E-03 6.32E-03
CEM 3.75E-04 4.43E-03
CENAM -5.22E-03 7.19E-03
CEM -4.30E-04 2.65E-03
DZM -1.30E-04 8.71E-03
GUM 5.56E-03 5.25E-03
INRIM -2.10E-04 6.70E-04
LNE -6.23E-03 9.71E-03
METAS 3.37E-03 4.63E-03
MIKES 6.37E-03 1.60E-02
NMIJ -3.00E-05 8.60E-04
NPL -8.30E-04 5.62E-03
PTB 3.00E-05 7.70E-04
UME -6.30E-04 3.04E-03
BEV 8.00E-04 8.60E-03
CEM -1.10E-03 3.00E-03
EIM -2.00E-03 5.00E-03
INM 4.00E-04 3.60E-03
METAS -3.50E-02 4.60E-03
NMIJ -8.00E-04 1.80E-03
PTB -8.00E-04 8.00E-04
VNIIM -1.40E-02 1.90E-02
Participating institutes
CCM.D-K1
EURAMET.M.D-K1.1 (a)
EURAMET.M.D-K1.1 (b)

(a) Silicon sphere PTB02 at 1001 g

(b) Silicon sphere NPL01 at 984 g

CCM.D-K1 and EURAMET.M.D-K1.1

MEASURAND        Density

NOMINAL VALUE      2329 kg/m3

ARTIFACT                   0.2 kg sphere (EURAMET.M.D-K1.1), 1 kg sphere (CCM.D-K1)

 

Degrees of equivalence represented by Di = (xI - xR) and its expanded uncertainty Ui at a 95 % level of confidence, both expressed in kg/m3.

LABi Di Uneg,i Upos,i
kg/m3
kg/m3
kg/m3
NMIJ -1.04E-04 2.40E-04
PTB -1.35E-04 3.73E-03
INRIM -2.00E-04 3.99E-03
KRISS 9.22E-04 1.11E-03
METAS 4.59E-03 4.58E-03
NRC -3.78E-03 6.32E-03
CEM 3.75E-04 4.43E-03
CENAM -5.22E-03 7.19E-03
CEM -9.00E-03 1.30E-01
DZM -3.30E-03 1.46E-02
GUM -1.06E-02 1.59E-02
INRIM -1.80E-03 2.70E-03
LNE -5.10E-02 3.10E-02
METAS 1.35E-02 1.83E-02
MIKES 3.00E-03 2.70E-02
NMIJ 0.00E+00 1.10E-02
NPL -3.00E-03 2.20E-02
PTB -1.60E-03 2.50E-03
UME -3.40E-02 3.10E-02
BEV -5.70E-03 1.20E-02
CEM -1.01E-02 1.00E-01
EIM -4.01E-02 8.00E-02
INM -1.81E-02 1.40E-02
METAS 8.90E-03 1.80E-02
NMIJ -2.10E-03 1.00E-02
PTB -8.00E-04 2.20E-03
VNIIM 2.89E-02 5.10E-02
Participating institutes
CCM.D-K1 (1)
EURAMET.M.D-K1.1 (a)
EURAMET.M.D-K1.1 (b)

(1) data representing sphere of 1 kg to which EUAMET.M.D-K1.1 at 0.2 kg is linked

(a) Silicon sphere BEV11 at 200 g

(b) Silicon sphere SiK2 at 239 g

CCM.D-K1 and EURAMET.M.D-K1.1

MEASURAND        Density

NOMINAL VALUE      2329 kg/m3

ARTIFACT                   35 g sphere (EURAMET.M.D-K1.1), 1 kg sphere (CCM.D-K1)

 

Degrees of equivalence represented by Di = (xI - xR) and its expanded uncertainty Ui at a 95 % level of confidence, both expressed in kg/m3.

LABi Di Uneg,i Upos,i
kg/m3
kg/m3
kg/m3
NMIJ -1.04E-04 2.40E-04
PTB -1.35E-04 3.73E-03
INRIM -2.00E-04 3.99E-03
KRISS 9.22E-04 1.11E-03
METAS 4.59E-03 4.58E-03
NRC -3.78E-03 6.32E-03
CEM 3.75E-04 4.43E-03
CENAM -5.22E-03 7.19E-03
CEM -3.28E-01 9.00E-01
DZM -5.70E-02 1.26E-01
GUM -5.00E-03 9.20E-02
INRIM -5.00E-03 1.50E-02
LNE -2.28E-01 1.70E-01
METAS 5.60E-02 1.25E-01
MIKES 2.20E-02 1.30E-01
NMIJ 2.00E-03 5.70E-02
NPL -3.20E-02 7.20E-02
PTB 1.40E-02 1.50E-02
UME -7.60E-02 1.18E-01
BEV -3.00E-02 3.60E-02
CEM -1.48E-01 9.00E-01
EIM -2.78E-01 5.00E-01
INM -1.80E-02 1.00E-01
METAS 3.20E-02 1.20E-01
NMIJ -1.50E-02 6.90E-02
PTB 1.70E-02 1.70E-02
VNIIM 7.30E-02 9.50E-02
Participating institutes
CCM.D-K1 (1)
EURAMET.M.D-K1.1 (a)
EURAMET.M.D-K1.1 (b)

(1) data representing sphere of 1 kg to which EUAMET.M.D-K1.1 at 0.2 kg is linked

(a) Silicon sphere CZ2KB at 35 g

(b) Silicon sphere CZ2KA at 35 g

CCM.D-K1 and EURAMET.M.D-K1.1

MEASURAND        Volume

NOMINAL VALUE      430 cm3

ARTIFACT                   1 kg silicon sphere

 

Degrees of equivalence represented by Di = (xI - xR) and its expanded uncertainty Ui at a 95 % level of confidence, both expressed in mm3.

LABi Di Uneg,i Upos,i
mm3
mm3
mm3
NMIJ 3.76E-02 5.66E-02
PTB 3.06E-02 6.65E-01
INRIM 1.80E-02 7.34E-01
KRISS -1.80E-01 1.96E-01
METAS -8.43E-01 8.41E-01
NRC 6.61E-01 1.16E+00
CEM -2.34E-02 8.17E-01
CENAM 9.27E-01 1.30E+00
CEM 1.20E-01 4.90E-01
DZM -3.60E-01 1.60E+00
GUM -9.10E-01 1.28E+00
INRIM 2.00E-02 1.20E-01
LNE 1.14E+00 1.80E+00
METAS -6.20E-01 7.80E-01
MIKES -1.26E+00 2.90E+00
NMIJ 1.00E-02 1.70E-01
NPL 1.40E-01 1.00E+00
PTB -1.00E-02 1.40E-01
UME 1.10E-01 5.80E-01
BEV -2.30E-01 1.60E+00
CEM 1.90E-01 5.10E-01
EIM 7.70E-01 9.00E-01
INM -7.00E-02 5.40E-01
METAS 1.14E+01 8.50E-01
NMIJ 1.50E-01 3.50E-01
PTB 1.50E-01 1.50E-01
VNIIM 2.67E+00 3.40E+00
Participating institutes
CCM.D-K1
EURAMET.M.D-K1.1 (a)
EURAMET.M.D-K1.1 (b)

(a) Silicon sphere PTB02 at 430 cm3

(b) Silicon sphere NPL01 at 422 cm3

CCM.D-K1 and EURAMET.M.D-K1.1

MEASURAND        Volume

NOMINAL VALUE      100 cm3

ARTIFACT                   0.2 kg sphere (EURAMET.M.D-K1.1), 1 kg sphere (CCM.D-K1)

 

Degrees of equivalence represented by Di = (xI - xR) and its expanded uncertainty Ui at a 95 % level of confidence, both expressed in mm3.

LABi Di Uneg,i Upos,i
mm3
mm3
mm3
NMIJ 3.76E-02 5.66E-02
PTB 3.06E-02 6.65E-01
INRIM 1.80E-02 7.34E-01
KRISS -1.80E-01 1.96E-01
METAS -8.43E-01 8.41E-01
NRC 6.61E-01 1.16E+00
CEM -2.34E-02 8.17E-01
CENAM 9.27E-01 1.30E+00
CEM 2.90E-01 5.80E+00
DZM 9.00E-02 6.10E-01
GUM 4.10E-01 6.10E-01
INRIM 6.00E-02 9.00E-02
LNE 1.89E+00 1.14E+00
METAS -4.90E-01 8.00E-01
MIKES -1.10E-01 1.00E+00
NMIJ -1.00E-02 4.90E-01
NPL 1.00E-01 8.00E-01
PTB 7.00E-02 1.00E-01
UME 1.30E+00 1.14E+00
BEV 2.50E-01 4.60E-01
CEM 6.10E-01 4.60E+00
EIM 1.31E+00 4.00E+00
INM 8.20E-01 6.60E-01
METAS -4.00E-01 7.60E-01
NMIJ 7.00E-02 5.60E-01
PTB 3.00E-02 1.00E-01
VNIIM -1.19E+00 2.00E+00
Participating institutes
CCM.D-K1 (1)
EURAMET.M.D-K1.1 (a)
EURAMET.M.D-K1.1 (b)

(1) data representing sphere of 1 kg to which EUAMET.M.D-K1.1 at 0.2 kg is linked

(a) Silicon sphere BEV11 at 85.9 cm3

(b) Silicon sphere SiK2 at 102 cm3 

CCM.D-K1 and EURAMET.M.D-K1.1

MEASURAND        Volume

NOMINAL VALUE      15 cm3

ARTIFACT                   35 g sphere (EURAMET.M.D-K1.1), 1 kg sphere (CCM.D-K1)

 

Degrees of equivalence represented by Di = (xI - xR) and its expanded uncertainty Ui at a 95 % level of confidence, both expressed in mm3.

LABi Di Uneg,i Upos,i
mm3
mm3
mm3
NMIJ 3.76E-02 5.66E-02
PTB 3.06E-02 6.65E-01
INRIM 1.80E-02 7.34E-01
KRISS -1.80E-01 1.96E-01
METAS -8.43E-01 8.41E-01
NRC 6.61E-01 1.16E+00
CEM -2.34E-02 8.17E-01
CENAM 9.27E-01 1.30E+00
CEM 2.06E+00 5.80E+00
DZM 3.60E-01 8.00E-01
GUM 3.00E-02 6.00E-01
INRIM 4.00E-02 9.00E-02
LNE 1.46E+00 1.10E+00
METAS -3.60E-01 8.00E-01
MIKES -2.40E-01 8.00E-01
NMIJ -1.00E-02 3.80E-01
NPL 2.10E-01 5.00E-01
PTB -9.00E-02 1.00E-01
UME 5.10E-01 7.60E-01
BEV 1.80E-01 2.20E-01
CEM 9.30E-01 5.80E+00
EIM 1.83E+00 3.00E+00
INM 1.00E-01 6.40E-01
METAS -2.20E-01 7.50E-01
NMIJ 8.00E-02 5.00E-01
PTB -1.10E-01 1.10E-01
VNIIM -4.70E-01 8.00E-01
Participating institutes
CCM.D-K1 (1)
EURAMET.M.D-K1.1 (a)
EURAMET.M.D-K1.1 (b)

(1) data representing sphere of 1 kg to which EUAMET.M.D-K1.1 at 0.2 kg is linked

(a) Silicon sphere CZ2KB at 14.9 cm3

(b) Silicon sphere CZ2KA at 14.9 cm3

Comparison
Comparison close
CC comparison
Linked comparison
EURAMET.M.D-K1.1
Metrology area, Sub-field Mass and related quantities, Density
Description Density measurements of silicon spheres
Time of measurements 2008 - 2012
Status Approved for equivalence
Final Reports of the comparisons
Measurand Volume and density of silicon spheres, nominal density 2329 kg/m3
Parameters Temperature: 20 °C
Pressure: 101325 Pa
Transfer device Six spheres of nominal masses 1001 g, 200 g, and 35 g for petal 1, and 984 g, 239 g, and 35 g for petal 2
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 EURAMET Project No 1031
Comments Results published on 4 december 2020
 
Pilot institute PTB
Physikalisch-Technische Bundesanstalt
Germany
Contact person Horst BETTIN

+49 (0) 531 592 3330
First Name Last Name
wwww@ww.www +356719836 Institute 1 Institute 1 Khmelnitskiy
Pilot laboratory
PTB

Physikalisch-Technische Bundesanstalt, Germany, EURAMET

BEV

Bundesamt für Eich- und Vermessungswesen, Austria, EURAMET

CEM

Centro Español de Metrologia, Spain, EURAMET

DZM

State Office for Metrology; now: Croatian Metrology Institute, HMI, Croatia, EURAMET

EIM

Hellenic Institute of Metrology, Greece, EURAMET

GUM

Glowny Urzad Miar, Central Office of Measures, Poland, EURAMET

INM

National Institute of Metrology, Romania, EURAMET

INRIM

Istituto Nazionale di Ricerca Metrologica, Italy, EURAMET

LNE

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

METAS

Federal Institute of Metrology, Switzerland, EURAMET

MIKES

VTT Technical Research Centre of Finland Ltd, Centre for Metrology/Mittatekniikan keskus, Finland, EURAMET

NIS

National Institute for Standards, Egypt, AFRIMETS

NMIJ AIST

National Metrology Institute of Japan, Japan, APMP

NPL

National Physical Laboratory, United Kingdom, EURAMET

UME

TÜBITAK Ulusal Metroloji Enstitüsü, Türkiye, EURAMET

VNIIM

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

CCM.D-K1 and EURAMET.M.D-K1.1

MEASURAND        Density

NOMINAL VALUE      2329 kg/m3

ARTIFACT                   1 kg silicon sphere

 

The key comparison reference value for density, xR, and its standard uncertainty, uR, are determined from the weighted mean of the participants' results under the presence of covariances, see section 7.2 on page 11 and Appendix 2 on page 21 of the CCM.D-K1 Final Report. Only the first NMIJ data (labelled as "NMIJ-1") is used to calculate the reference values and the degrees of equivalence

xR = 2329.083 62 kg/m3    and     2uR = 0.000 69 kg/m3

The degree of equivalence of laboratory i relative to the key comparison reference value xR is given by a pair of terms, both expressed in (unit):

Di = (xi - xR) and its expanded uncertainty Ui at a 95 % level of confidence where Ui = 2 ui.

xi   measured mass fraction reported by laboratory iLabi

ui   combined standard uncertainty of xi

 

Linking EURAMET.M.D-K1.1 to CCM.D-K1

The results of EURAMET.M.D-K1.1 were linked to CCM.D-K1 via CEM (Spain), INRIM (Italy), METAS (Switzerland), NMIJ-AIST (Japan) and PTB (Germany) who partiocipated in both comparisons. The linking process is described in Sections 5 and 6 of the EURAMET.M.D-K1.1 Final Report.

CCM.D-K1 and EURAMET.M.D-K1.1

MEASURAND        Density

NOMINAL VALUE      2329 kg/m3

ARTIFACT                   0.2 kg sphere (EURAMET.M.D-K1.1), 1 kg sphere (CCM.D-K1)

 

The key comparison reference value for density, xR, and its standard uncertainty, uR, are determined from the weighted mean of the participants' results under the presence of covariances, see section 7.2 on page 11 and Appendix 2 on page 21 of the CCM.D-K1 Final Report. Only the first NMIJ data (labelled as "NMIJ-1") is used to calculate the reference values and the degrees of equivalence

xR = 2329.083 62 kg/m3    and     2uR = 0.000 69 kg/m3

The degree of equivalence of laboratory i relative to the key comparison reference value xR is given by a pair of terms, both expressed in (unit):

Di = (xi - xR) and its expanded uncertainty Ui at a 95 % level of confidence where Ui = 2 ui.

xi   measured mass fraction reported by laboratory iLabi

ui   combined standard uncertainty of xi

 

Linking EURAMET.M.D-K1.1 to CCM.D-K1

The results of EURAMET.M.D-K1.1 were linked to CCM.D-K1 via CEM (Spain), INRIM (Italy), METAS (Switzerland), NMIJ-AIST (Japan) and PTB (Germany) who partiocipated in both comparisons. The linking process is described in Sections 5 and 6 of the EURAMET.M.D-K1.1 Final Report.

CCM.D-K1 and EURAMET.M.D-K1.1

MEASURAND        Density

NOMINAL VALUE      2329 kg/m3

ARTIFACT                   35 g sphere (EURAMET.M.D-K1.1), 1 kg sphere (CCM.D-K1)

 

The key comparison reference value for density, xR, and its standard uncertainty, uR, are determined from the weighted mean of the participants' results under the presence of covariances, see section 7.2 on page 11 and Appendix 2 on page 21 of the CCM.D-K1 Final Report. Only the first NMIJ data (labelled as "NMIJ-1") is used to calculate the reference values and the degrees of equivalence

xR = 2329.083 62 kg/m3    and     2uR = 0.000 69 kg/m3

The degree of equivalence of laboratory i relative to the key comparison reference value xR is given by a pair of terms, both expressed in (unit):

Di = (xi - xR) and its expanded uncertainty Ui at a 95 % level of confidence where Ui = 2 ui.

xi   measured mass fraction reported by laboratory iLabi

ui   combined standard uncertainty of xi

 

Linking EURAMET.M.D-K1.1 to CCM.D-K1

The results of EURAMET.M.D-K1.1 were linked to CCM.D-K1 via CEM (Spain), INRIM (Italy), METAS (Switzerland), NMIJ-AIST (Japan) and PTB (Germany) who partiocipated in both comparisons. The linking process is described in Sections 5 and 6 of the EURAMET.M.D-K1.1 Final Report.

CCM.D-K1 and EURAMET.M.D-K1.1

MEASURAND        Volume

NOMINAL VALUE      430 cm3

ARTIFACT                   1 kg silicon sphere

 

The key comparison reference value for volume, xR, and its standard uncertainty, uR, are determined from the weighted mean of the participants' results under the presence of covariances, see section 7.2 on page 11 and Appendix 2 on page 21 of the CCM.D-K1 Final Report. Only the first NMIJ data (labelled as "NMIJ-1") is used to calculate the reference values and the degrees of equivalence.

xR = 429.581 033 cm3            and          2uR = 0.000 135 cm3

The degree of equivalence of laboratory i  with respect to the key comparison reference value is given by a pair of terms expressed in mm3:

Di = (xi - xR) and Ui = 2(ui2 - uR2)1/2, its expanded uncertainty (k = 2).

xi   measured mass fraction reported by laboratory iLabi

ui   combined standard uncertainty of xi

 

Linking EURAMET.M.D-K1.1 to CCM.D-K1

The results of EURAMET.M.D-K1.1 were linked to CCM.D-K1 via CEM (Spain), INRIM (Italy), METAS (Switzerland), NMIJ-AIST (Japan) and PTB (Germany) who partiocipated in both comparisons. The linking process is described in Sections 5 and 6 of the EURAMET.M.D-K1.1 Final Report.

CCM.D-K1 and EURAMET.M.D-K1.1

MEASURAND        Volume

NOMINAL VALUE      100 cm3

ARTIFACT                   0.2 kg sphere (EURAMET.M.D-K1.1), 1 kg sphere (CCM.D-K1)

 

The key comparison reference value for volume, xR, and its standard uncertainty, uR, are determined from the weighted mean of the participants' results under the presence of covariances, see section 7.2 on page 11 and Appendix 2 on page 21 of the CCM.D-K1 Final Report. Only the first NMIJ data (labelled as "NMIJ-1") is used to calculate the reference values and the degrees of equivalence.

xR = 429.581 033 cm3            and          2uR = 0.000 135 cm3

The degree of equivalence of laboratory i  with respect to the key comparison reference value is given by a pair of terms expressed in mm3:

Di = (xi - xR) and Ui = 2(ui2 - uR2)1/2, its expanded uncertainty (k = 2).

xi   measured mass fraction reported by laboratory iLabi

ui   combined standard uncertainty of xi

 

Linking EURAMET.M.D-K1.1 to CCM.D-K1

The results of EURAMET.M.D-K1.1 were linked to CCM.D-K1 via CEM (Spain), INRIM (Italy), METAS (Switzerland), NMIJ-AIST (Japan) and PTB (Germany) who partiocipated in both comparisons. The linking process is described in Sections 5 and 6 of the EURAMET.M.D-K1.1 Final Report.

CCM.D-K1 and EURAMET.M.D-K1.1

MEASURAND        Volume

NOMINAL VALUE      15 cm3

ARTIFACT                   35 g sphere (EURAMET.M.D-K1.1), 1 kg sphere (CCM.D-K1)

 

The key comparison reference value for volume, xR, and its standard uncertainty, uR, are determined from the weighted mean of the participants' results under the presence of covariances, see section 7.2 on page 11 and Appendix 2 on page 21 of the CCM.D-K1 Final Report. Only the first NMIJ data (labelled as "NMIJ-1") is used to calculate the reference values and the degrees of equivalence.

xR = 429.581 033 cm3            and          2uR = 0.000 135 cm3

The degree of equivalence of laboratory i  with respect to the key comparison reference value is given by a pair of terms expressed in mm3:

Di = (xi - xR) and Ui = 2(ui2 - uR2)1/2, its expanded uncertainty (k = 2).

xi   measured mass fraction reported by laboratory iLabi

ui   combined standard uncertainty of xi

 

Linking EURAMET.M.D-K1.1 to CCM.D-K1

The results of EURAMET.M.D-K1.1 were linked to CCM.D-K1 via CEM (Spain), INRIM (Italy), METAS (Switzerland), NMIJ-AIST (Japan) and PTB (Germany) who partiocipated in both comparisons. The linking process is described in Sections 5 and 6 of the EURAMET.M.D-K1.1 Final Report.

CCM.D-K1 and EURAMET.M.D-K1.1

MEASURAND        Density

NOMINAL VALUE      2329 kg/m3

ARTIFACT                   1 kg silicon sphere

 

xi   measured mass fraction reported by laboratory iLabi

ui   combined standard uncertainty of xi

 

CCM.D-K1

The measurement results are available in Section 7 of the CCM.D-K1 Final Report.

 

EURAMET.M.D-K1

The measurement results are available in Sections 4 and 5 of the EURAMET.M.D-K1 Final Report.

CCM.D-K1 and EURAMET.M.D-K1.1

MEASURAND        Density

NOMINAL VALUE      2329 kg/m3

ARTIFACT                   0.2 kg sphere (EURAMET.M.D-K1.1), 1 kg sphere (CCM.D-K1)

 

xi   measured mass fraction reported by laboratory iLabi

ui   combined standard uncertainty of xi

 

CCM.D-K1

The measurement results are available in Section 7 of the CCM.D-K1 Final Report.

 

EURAMET.M.D-K1

The measurement results are available in Sections 4 and 5 of the EURAMET.M.D-K1 Final Report.

CCM.D-K1 and EURAMET.M.D-K1.1

MEASURAND        Density

NOMINAL VALUE      2329 kg/m3

ARTIFACT                   35 g sphere (EURAMET.M.D-K1.1), 1 kg sphere (CCM.D-K1)

 

xi   measured mass fraction reported by laboratory iLabi

ui   combined standard uncertainty of xi

 

CCM.D-K1

The measurement results are available in Section 7 of the CCM.D-K1 Final Report.

 

EURAMET.M.D-K1

The measurement results are available in Sections 4 and 5 of the EURAMET.M.D-K1 Final Report.

CCM.D-K1 and EURAMET.M.D-K1.1

MEASURAND        Volume

NOMINAL VALUE      430 cm3

ARTIFACT                   1 kg silicon sphere

 

xi   measured mass fraction reported by laboratory iLabi

ui   combined standard uncertainty of xi

 

CCM.D-K1

The measurement results are available in Section 7 of the CCM.D-K1 Final Report.

 

EURAMET.M.D-K1

The measurement results are available in Sections 4 and 5 of the EURAMET.M.D-K1 Final Report.

CCM.D-K1 and EURAMET.M.D-K1.1

MEASURAND        Volume

NOMINAL VALUE      100 cm3

ARTIFACT                   0.2 kg sphere (EURAMET.M.D-K1.1), 1 kg sphere (CCM.D-K1)

 

xi   measured mass fraction reported by laboratory iLabi

ui   combined standard uncertainty of xi

 

CCM.D-K1

The measurement results are available in Section 7 of the CCM.D-K1 Final Report.

 

EURAMET.M.D-K1

The measurement results are available in Sections 4 and 5 of the EURAMET.M.D-K1 Final Report.

CCM.D-K1 and EURAMET.M.D-K1.1

MEASURAND        Volume

NOMINAL VALUE      15 cm3

ARTIFACT                   35 g sphere (EURAMET.M.D-K1.1), 1 kg sphere (CCM.D-K1)

 

xi   measured mass fraction reported by laboratory iLabi

ui   combined standard uncertainty of xi

 

CCM.D-K1

The measurement results are available in Section 7 of the CCM.D-K1 Final Report.

 

EURAMET.M.D-K1

The measurement results are available in Sections 4 and 5 of the EURAMET.M.D-K1 Final Report.