CCEM-K2, EUROMET.EM-K2 and EURAMET.EM-K2.1
MEASURAND : Resistance
NOMINAL VALUE : 10 megaohms
Degrees of equivalence, D_{i} and expanded uncertainty U_{i}_{ }(k = 2), relative to the CCEM-K2 key comparison reference value, expressed in 10^{-6}
Black: participants in CCEM-K2
Blue: participants in EUROMET.EM-K2 only
Green: participants in EURAMET.EM-K2.1 only
The Matrix of equivalence reproduced below is limited to the degrees of equivalence of the CCEM-K2 participants.
Lab i | D_{i} | U_{i} |
/ 10^{-6} | / 10^{-6} | |
NIST | -0.3 | 2.9 |
NRC | -1.2 | 5.7 |
LNE | 0.0 | 2.1 |
NPL | -0.3 | 2.3 |
PTB | 0.0 | 5.0 |
NMIA | -0.3 | 5.4 |
MSL | -0.4 | 2.1 |
NMISA | -16 | 79 |
SP | 0.6 | 4.0 |
METAS | 0.7 | 2.1 |
INRIM | 0.9 | 5.5 |
VSL | 0.6 | 6.4 |
KRISS | -2.3 | 6.3 |
NIM | 0.6 | 2.5 |
VNIIM | -0.1 | 2.8 |
Results are presented under A4 printable format in Summary Results (PDF file). This includes the full Matrix of equivalence for CCEM-K2 and EUROMET.EM-K2.
CCEM-K2, SIM.EM-K2, EUROMET.EM-K2 and EURAMET.EM-K2.1
MEASURAND : Resistance
NOMINAL VALUE : 1 gigaohm
Degrees of equivalence, D_{i} and expanded uncertainty U_{i}_{ }(k = 2), relative to the CCEM-K2 key comparison reference value, expressed in 10^{-6}
Black: participants in CCEM-K2
Green: participants in SIM.EM-K2 only
Blue: participants in EUROMET.EM-K2 only
Orange: participants in EURAMET.EM-K2.1 only
The Matrix of equivalence reproduced below is limited to the degrees of equivalence of the CCEM-K2 and SIM.EM-K2 participants.
Lab i | D_{i} | U_{i} |
/ 10^{-6} | / 10^{-6} | |
NIST | -0.1 | 8.6 |
NRC | -0.2 | 19.8 |
LNE | -1.3 | 18.0 |
NPL | -7.2 | 11.0 |
PTB | 3.3 | 13.0 |
NMIA | 2.1 | 66.8 |
MSL | 4.6 | 6.6 |
NMISA | -53 | 581 |
SP | -1.6 | 10.0 |
METAS | 2.9 | 22.8 |
INRIM | 2.5 | 19.3 |
VSL | -32.3 | 36.3 |
KRISS | -1.5 | 12.4 |
NIM | -0.6 | 8.3 |
VNIIM | 0.0 | 7.3 |
INTI | -7.5 | 12.6 |
INMETRO | -4.2 | 11.8 |
UTE | -4.3 | 35.5 |
CENAM | 3.7 | 16.0 |
In blue: participants in CCEM-K2
In green: participants in SIM.EM-K2 only
The pair-wise degrees of equivalence between INTI or INMETRO or UTE or CENAM, and NIST or NRC are computed inside SIM.EM-K2 [see item (2) on page 55 of the SIM.EM-K2 Final Report].
Results are presented under A4 printable format in Summary Results (PDF file). This includes the full Matrix of equivalence for CCEM-K2, SIM.EM-K2 and EUROMET.EM-K2.
Metrology area, Sub-field | Electricity and Magnetism, Resistance |
Description | Comparison of resistance standards |
Time of measurements | 2005 - 2007 |
Status | Approved for equivalence |
Final Reports of the comparisons | |
Measurand | Resistance: 10 megaohms and 1 gigaohm |
Transfer device | Wirewound and film-type resistors |
Comparison type | Key Comparison |
Consultative Committee | CCEM (Consultative Committee for Electricity and Magnetism) |
Conducted by | EURAMET (European Association of National Metrology Institutes) |
Comments | Results published on 06 May 2010 SIM.EM-K2 results (1 gigaohm only), and EUROMET.EM-K2 and EURAMET.EM-K2.1 results (10 megaohms and 1 gigaohm) are linked to those of CCEM-K2 Resistance |
Pilot institute |
METAS
Federal Institute of Metrology Switzerland |
Contact person | B. Jeckelmann +41 (0) 58 387 0297 |
Pilot laboratory | |
---|---|
METAS |
Federal Institute of Metrology, Switzerland, 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 |
INM |
National Institute of Metrology, Romania, EURAMET |
JV |
Justervesenet, Norway, EURAMET |
LNE |
Laboratoire national de métrologie et d'essais, France, EURAMET |
MIKES |
VTT Technical Research Centre of Finland Ltd, Centre for Metrology/Mittatekniikan keskus, Finland, EURAMET |
NPL |
National Physical Laboratory, United Kingdom, EURAMET |
PTB |
Physikalisch-Technische Bundesanstalt, Germany, EURAMET |
SMD |
Service de la Métrologie Belge, Belgium, EURAMET |
SMU |
Slovensky Metrologicky Ustav, Slovakia, EURAMET |
UME |
TÜBITAK Ulusal Metroloji Enstitüsü, Türkiye, EURAMET |
VNIIM |
D.I. Mendeleyev Institute for Metrology, Rosstandart, Russian Federation, COOMET |
VSL |
VSL, Netherlands, EURAMET |
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CCEM-K2, EUROMET.EM-K2 and EURAMET.EM-K2.1
MEASURAND : Resistance
NOMINAL VALUE : 10 megaohms
The key comparison reference value is obtained from the weighted average of the D_{iCOMB}'s and is x_{R} = 0.346x10^{-6}. The expanded uncertainty (k = 2) of x_{R} is U_{R} = 0.859x10^{-6}. |
The degree of equivalence of each laboratory with respect to the reference value is given by a pair of terms: D_{i} = D_{iCOMB} - x_{R} and its expanded uncertainty (k = 2), U_{i} = (U_{iCOMB}^{2} - U_{R}^{2})^{1/2}. |
The degree of equivalence between two laboratories i and j is given by a pair of terms: D_{ij} = D_{i} - D_{j} and its expanded uncertainty (k = 2), U_{ij} which calculation is described in detail in the CCEM-K2 Final Report. |
The procedure for analysing the results of EUROMET.EM-K2 is explained in Section 6.4 on page 17 of the EUROMET.EM-K2 Final Report.
An EUROMET.EM-K2 reference value and its uncertainty are first computed using results obtained in this key comparison. Degrees of equivalence of each participating laboratory with respect to the EUROMET.EM-K2 reference value, as well as pair-wise degrees of equivalence, are then computed.
The linkage of EUROMET.EM-K2 results to those of CCEM-K2 is ensured by the common participation of METAS, PTB, VSL, NPL and VNIIM in both comparisons. The detailed calculation of the linkage is explained in Section 6.6 on page 31 of the Final Report.
The results of EURAMET.EM-K2.1 are first linked to the EUROMET.EM-K2 reference value through the results of METAS, and then linked to the CCEM-K2 key comparison reference value as done for the EUROMET.EM-K2 results (see Sections 6.3 and 6.4 of the EURAMET.EM-K2.1 Final Report).
This makes it possible to extend the CCEM-K2 degrees of equivalence to those laboratories which participated in key comparisons EUROMET.EM-K2 and EURAMET.EM-K2.1 only.No pair-wise degrees of equivalence involving EURAMET.EM-K2.1 participants have been computed.
CCEM-K2, SIM.EM-K2, EUROMET.EM-K2 and EURAMET.EM-K2.1
MEASURAND : Resistance
NOMINAL VALUE : 1 gigaohm
The key comparison reference value is obtained from the weighted average of the D_{iCOMB}'s and is x_{R} = 0.10x10^{-6}. The expanded uncertainty (k = 2) of x_{R} is U_{R} = 3.19x10^{-6}. |
The degree of equivalence of each laboratory with respect to the reference value is given by a pair of terms: D_{i} = D_{iCOMB} - x_{R} and its expanded uncertainty (k = 2), U_{i} = (U_{iCOMB}^{2} - U_{R}^{2})^{1/2}. |
The degree of equivalence between two laboratories i and j is given by a pair of terms: D_{ij} = D_{i} - D_{j} and its expanded uncertainty (k = 2), U_{ij} which calculation is described in detail in the CCEM-K2 Final Report. |
The procedure for analysing the results of SIM.EM-K2 is explained in the Appendix A of the SIM.EM-K2 Final Report.
A SIM.EM-K2 reference value and its uncertainty are first computed using results obtained in this key comparison. Degrees of equivalence of each participating laboratory with respect to the SIM.EM-K2 reference value, as well as pair-wise degrees of equivalence, are then computed.
The linkage of SIM.EM-K2 results to those of CCEM-K2 is ensured by the common participation of NIST and NRC in both comparisons. The detailed calculation of the linkage is explained in Appendix G of the SIM.EM-K2 Final Report.
The procedure for analysing the results of EUROMET.EM-K2 is explained in Section 6.4 on page 17 of the EUROMET.EM-K2 Final Report.
An EUROMET.EM-K2 reference value and its uncertainty are first computed using results obtained in this key comparison. Degrees of equivalence of each participating laboratory with respect to the EUROMET.EM-K2 reference value, as well as pair-wise degrees of equivalence, are then computed.
The linkage of EUROMET.EM-K2 results to those of CCEM-K2 is ensured by the common participation of METAS, PTB, VSL, NPL, LNE and VNIIM in both comparisons. The detailed calculation of the linkage is explained in Section 6.6 on page 31 of the Final Report.
The results of EURAMET.EM-K2.1 are first linked to the EUROMET.EM-K2 reference value through the results of METAS, and then linked to the CCEM-K2 key comparison reference value as done for the EUROMET.EM-K2 results (see Sections 6.3 and 6.4 of the EURAMET.EM-K2.1 Final Report).
This makes it possible to extend the CCEM-K2 degrees of equivalence to those laboratories which participated in key comparisons SIM.EM-K2, EUROMET.EM-K2 and EURAMET.EM-K2.1 only.
No pair-wise degrees of equivalence involving EURAMET.EM-K2.1 participants have been computed.
CCEM-K2, EUROMET.EM-K2 and EURAMET.EM-K2.1
MEASURAND : Resistance
NOMINAL VALUE : 10 megaohms
x_{i} : result of measurement carried out by laboratory i, expressed as the relative deviation from the nominal value R_{0} = 10 megaohms, namely R_{i} = R_{0}(1 + x_{i}) where R_{i} is the resistance measured by laboratory i.
The x_{i}'s are corrected to a nominal temperature of 23 °C
U_{i} : expanded uncertainty (k = 2) of x_{i}
S/N : serial number of the travelling standard
D_{iCOMB} : combined mean of the three travelling standards relative differences from a least-squares linear regression of the NIST values for each travelling standard
U_{iCOMB} : expanded uncertainty (k = 2) of D_{}iCOMB
The calculation of the D_{iCOMB}'s and U_{iCOMB}'s is described in detail in the Final Report.
* Measurements at 10 V |
** Measurements at 91 V *** Measurements at 50 V |
All other measurements at 100 V |
MEASURAND : Resistance
NOMINAL VALUE : 10 megaohms
Individual measurements and uncertainties reported by laboratories participant in EUROMET.EM-K2 are given in the Annexes of the EUROMET.EM-K2 Final Report.
LNE (France) did not measure at nominal value 10 megaohms.
Measurements were carried out between August 2005 and April 2007.
MEASURAND : Resistance
NOMINAL VALUE : 10 megaohms
Individual measurements and uncertainties reported by laboratories participant in EURAMET.EM-K2.1 are given in the Annexes of the EURAMET.EM-K2.1 Final Report.
Measurements were carried out between March 2010 and February 2011.
CCEM-K2, SIM.EM-K2, EUROMET.EM-K2 and EURAMET.EM-K2.1
MEASURAND : Resistance
NOMINAL VALUE : 1 gigaohm
x_{i} : result of measurement carried out by laboratory i, expressed as the relative deviation from the nominal value R_{0} = 1 gigaohm, namely R_{i} = R_{0}(1 + x_{i}) where R_{i} is the resistance measured by laboratory i.
The x_{i}'s are corrected to a nominal temperature of 23 °C
U_{i} : expanded uncertainty (k = 2) of x_{i}
S/N : serial number of the travelling standard
D_{iCOMB} : combined mean of the three travelling standards relative differences from a least-squares linear regression of the NIST values for each travelling standard
U_{iCOMB} : expanded uncertainty (k = 2) of D_{}iCOMB
The calculation of the D_{iCOMB}'s and U_{iCOMB}'s is described in detail in the Final Report.
* Measurements at 91 V |
** Measurements at 50 V |
All other measurements at 100 V |
MEASURAND : Resistance
NOMINAL VALUE : 1 gigaohm
Individual measurements reported by laboratories participant in SIM.EM-K2 are given in Tables 6.5 and 6.6 for both of the transfer instruments: see on pages 17 and 18 of the SIM.EM-K2 Final Report. These are relative difference between the result of measurement of laboratory i and the nominal value 1 gigaohm.
Measurements were carried out between January 2006 and August 2007.
MEASURAND : Resistance
NOMINAL VALUE : 1 gigaohm
Individual measurements and uncertainties reported by laboratories participant in EUROMET.EM-K2 are given in the Annexes of the EUROMET.EM-K2 Final Report.
LATMB (Latvia) did not measure at nominal value 1 gigaohm.
Measurements were carried out between August 2005 and April 2007.
MEASURAND : Resistance
NOMINAL VALUE : 1 gigaohm
Individual measurements and uncertainties reported by laboratories participant in EURAMET.EM-K2.1 are given in the Annexes of the EURAMET.EM-K2.1 Final Report.
Measurements were carried out between March 2010 and February 2011.