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CCM.M-K1, APMP.M.M-K1, EUROMET.M.M-K1, EUROMET.M.M-K4, EUROMET.M.M-K4.1, APMP.M.M-K6, COOMET.M.M-K1,
APMP.M.M-K1.1 and EURAMET.M.M-K4.2

MEASURAND : Mass
NOMINAL VALUE : 1 kg

Degrees of equivalence Di and expanded uncertainty Ui expressed in µg:
click here to access the graph of equivalence

Comparison
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CCM.M-K1, APMP.M.M-K1, EUROMET.M.M-K1, EUROMET.M.M-K4, EUROMET.M.M-K4.1, APMP.M.M-K6, COOMET.M.M-K1,
APMP.M.M-K1.1 and EURAMET.M.M-K4.2

MEASURAND : Mass
NOMINAL VALUE : 1 kg

Degrees of equivalence Di and expanded uncertainty Ui expressed in µg

In dark blue: laboratories participant in CCM.M-K1,
In blue: laboratories participant in APMP.M.M-K1,
In green: laboratories participant in EUROMET.M.M-K1,
In purple: laboratories participant in EUROMET.M.M-K4,
In orange: laboratories participant in EUROMET.M.M-K4.1,
In red: laboratories participant in APMP.M.M-K6,
In black: laboratories participant in COOMET.M.M-K1,
In grey: laboratories participant in APMP.M.M-K1.1,
In pink: laboratories participant in EURAMET.M.M-K4.2

No pair-wise degrees of equivalence are reported here. They may be found in the relevant Final Reports.

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

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Linked comparison
COOMET.M.M-K1
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Metrology area, Sub-field Mass and related quantities, Mass Standards
Description Comparison of mass standards
Time of measurements 2002 - 2005
Status Approved for equivalence
Final Reports of the comparisons
Metrologia, 2010, 47, Tech. Suppl., 07001
Measurand Mass: 1 kg
Transfer device Stainless steel kilogram standards
Comparison type Key Comparison
Consultative Committee CCM (Consultative Committee for Mass and Related Quantities)
Conducted by COOMET (Euro-Asian Cooperation of National Metrological Institutions)
RMO Internal Identifier COOMET 257/Sk-a/02
Comments

Results published on 06 January 2010

APMP.M.M-K1, EUROMET.M.M-K1, EUROMET.M.M-K4, EUROMET.M.M-K4.1, APMP.M.M-K6, COOMET.M.M-K1, APMP.M.M-K1.1 and EURAMET.M.M-K4.2 results are linked to those of CCM.M-K1

Comparison of 1 kg stainless steel mass standards
Pilot institute SMU
Slovensky Metrologicky Ustav
Slovakia
Contact person R. Spurny

+421 2 602 94 350
First Name Last Name
wwww@ww.www +356719836 Institute 1 Institute 1 Khmelnitskiy
Pilot laboratory
SMU

Slovensky Metrologicky Ustav, Slovakia, EURAMET

BelGIM

Belarussian State Institute for Metrology, Belarus, COOMET

NSC IM

National Scientific Centre "Institute of Metrology", Ukraine, EURAMET

PTB

Physikalisch-Technische Bundesanstalt, Germany, EURAMET

VNIIM

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

Comparison
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CCM.M-K1, APMP.M.M-K1, EUROMET.M.M-K1, EUROMET.M.M-K4, EUROMET.M.M-K4.1, APMP.M.M-K6, COOMET.M.M-K1,
APMP.M.M-K1.1 and EURAMET.M.M-K4.2

MEASURAND : Mass
NOMINAL VALUE : 1 kg

  • Key comparison CCM.M-K1

The key comparison reference value, xR, is evaluated as the median of the xi values (the BIPM zero value being counted only once), and its standard uncertainty, uR, as the standard deviation of median (see Appendix 2 of CCM.M-K1 Final Report).

xR = -3.0 µg and uR = 2.2 µg

The degree of equivalence of each laboratory with respect to the reference value is given by a pair of terms:
Di = (xi - xR) and Ui, its expanded uncertainty (at a 95% level of confidence), both expressed in µg. Detailed information on the evaluation of Ui may be found in Appendix 3 of CCM.M-K1 Final Report.

The degree of equivalence between two laboratories participant in CCM.M-K1 is given by a pair of terms:
Dij = Di - Dj = (xi - xj) and Uij, its expanded uncertainty (at a 95% level of confidence), both expressed in µg. Detailed information on the evaluation of Uij may be found in Appendix 3 of CCM.M-K1 Final Report.
  • Linking APMP.M.M-K1 results to CCM.M-K1 results

The APMP.M.M-K1 results were analyzed and linked to the CCM.M-K1 results using Generalised Least-Squares (sometimes known as Gauss-Markov) estimation (see section 7 of APMP.M.M-K1 Final Report).
This analysis directly combines the APMP comparison results with the CCM.M-K1 results of the three linking laboratories (KRISS, NMIA, and NMIJ) to estimate the degrees of equivalence:

1) the degree of equivalence of each laboratory i participant in APMP.M.M-K1 relative to the CCM.M-K1 key comparison reference value, Di and Ui, with Ui the expanded uncertainty (k = 2) of Di, and

2) the degree of equivalence between pairs of laboratories i and j both participant in APMP.M.M-K1, Dij and Uij, with Uij the expanded uncertainty (k = 2) of Dij.

The degree of equivalence between two laboratories i and j, one participant in CCM.M-K1 and the other one in APMP.M.M-K1, is given by a pair of terms: Dij = Di - Dj and Uij, its expanded uncertainty (k = 2).
Uij may be estimated as Uij = [Ui2 + Uj2 - 2(2uR)2]1/2 since both Ui and Uj include the uncertainty associated with the key comparison reference value. These values are not explicitely given here.

  • Linking EUROMET.M.M-K1 results to CCM.M-K1 results

The EUROMET.M.M-K1 results were analyzed and linked to the CCM.M-K1 results as explained in the Linkage Report, using the values obtained by the three linking laboratories (PTB, INRIM, and NPL).

It leads to the estimation of the degree of equivalence of each laboratory i participant in EUROMET.M.M-K1 relative to the CCM.M-K1 key comparison reference value, Di and Ui, with Ui the expanded uncertainty (k = 2) of Di.

The pair-wise degrees of equivalence inside EUROMET.M.M-K1 are given on pages 12, 16, and 19 of the EUROMET.M.M-K1 Final Report for mass standards PTBC, INM11, and the mean of both, respectively.

  • Linking EUROMET.M.M-K4 and EUROMET.M.M-K4.1 results to CCM.M-K1 results

The EUROMET.M.M-K4 and EUROMET.M.M-K4.1 results were analyzed and linked to the CCM.M-K1 results as explained in Appendix A of the EUROMET.M.M-K4 Final Report. The linking laboratories between EUROMET.M.M-K4 and CCM.M-K1 are PTB, INRIM, and NPL. The linking laboratory between EUROMET.M.M-K4.1 and EUROMET.M.M-K4 is DFM.

It leads to the estimation of the degree of equivalence of each laboratory i participant in EUROMET.M.M-K4 and K4.1 relative to the CCM.M-K1 key comparison reference value, Di and Ui, with Ui the expanded uncertainty (k = 2) of Di.

The pair-wise degrees of equivalence inside EUROMET.M.M-K4 are given on pages 10 to 13 of the EUROMET.M.M-K4 Final Report, and the pair-wise degree of equivalence between DFM and MIRS, as obtained in EUROMET.M.M-K4.1, on page 7 of the EUROMET.M.M-K4.1 Final Report.

  • Linking APMP.M.M-K6 to CCM.M-K1

The APMP.M.M-K6 results obtained for 1 kg were analyzed and linked to the CCM.M-K1 results using Generalised Least-Squares (sometimes known as Gauss-Markov) estimation (see Section 7 of the APMP.M.M-K6 Final Report).
This analysis directly combines the APMP comparison results with the CCM.M-K1 results of the three linking laboratories (NMIA, NIMT, and NMISA) for Loop A, and the single linking laboratory (NPLI) for Loop B, to estimate:

- the degree of equivalence of each laboratory participant in APMP.M.M-K6 with respect to the CCM.M-K1 key comparison reference value, Di and Ui, and

- the degrees of equivalence between two laboratories both participant in APMP.M.M-K6, Dij and Uij,
Ui and Uij being the expanded uncertainties (k = 2) of Di and Dij respectively.
The pair-wise degrees of equivalence inside APMP.M.M-K6 for 1 kg are given on page 14 of the APMP.M.M-K6 Final Report.

Artefacts of nominal values 500 g, 20 g, 2 g, and 100 mg are also measured in the framework of key comparison APMP.M.M-K6. This is reported together with CCM.M-K2 results.

  • Linking COOMET.M.M-K1 to CCM.M-K1

The link is made using PTB values in both comparisons (see on page 6 of the COOMET.M.M-K1 Final Report).

The pair-wise degrees of equivalence inside COOMET.M.M-K1 are given on page 8 of the COOMET.M.M-K1 Final Report.
  • Linking APMP.M.M-K1.1 to CCM.M-K1

The link is made using NMIA results in both comparisons (see Section 8 of the APMP.M.M-K1.1 Final Report).

The pair-wise degree of equivalence between NMIA and A*STAR is given on page 8 of the APMP.M.M-K1.1 Final Report.
  • Linking EURAMET.M.M-K4.2 to CCM.M-K1

The link is made through the EUROMET.M.M-K4 key comparison using BEV and EIM results in both comparisons (see Section 5 of the EURAMET.M.M-K4.2 Final Report)

Comparison
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Results
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CCM.M-K1, APMP.M.M-K1, EUROMET.M.M-K1, EUROMET.M.M-K4, EUROMET.M.M-K4.1, APMP.M.M-K6, COOMET.M.M-K1,
APMP.M.M-K1.1 and EURAMET.M.M-K4.2

MEASURAND : Mass
NOMINAL VALUE : 1 kg

  • Key comparison CCM.M-K1

x(rep)i : reported result obtained as the difference between the measurement of the mass standards carried out by laboratory i (being evaluated as the average mass of two 1 kg artefacts) and the nominal value 1 kg
ui : combined standard uncertainty of x(rep)i

Seven participating laboratories determined the mass of the travelling standards VSL-1 and J2 (Package 1) while the remaining seven determined the mass of the travelling standards VSL-2 and J3 (Package 2).
As Pilot laboratory, the BIPM determined the mass of the travelling standards of each package at the beginning and at the end of the comparison, and a few times during the course of the comparison.

xi : difference between the mass determined by laboratory i, x(rep)i, and that determined by the Pilot laboratory.

The Pilot's mass value is the average of the two results obtained before and after the measurement at laboratory i, except for PTB and SMU where only the BIPM result of May 96 is used, and NIM where only the BIPM result of Feb 97 is used (see CCM.M-K1 Final Report).

Set of mass standards: Package 1

 Lab i x(rep)i
/ mg		 ui
/ mg		 xi
/ mg		 Date of measurement
 BIPM

1.928

 0.012 0.000 Feb 95
 NMi-VSL

1.905

 0.018 -0.018 May 95
 NPL

1.923

 0.016 -0.001 Jul 95
 BIPM

1.918

 0.012 0.000 Sep 95
 VNIIM

1.963

 0.024 0.046 Feb 96
 BIPM

1.915

 0.012 0.000 May 96
 PTB

1.911

 0.012 -0.004 Aug 96
 SMU

1.972

 0.022 0.057 Dec 96
 BIPM

1.917

 0.012 0.000 Feb 97
 KRISS

1.913

 0.014 -0.004

Mar 97

 BIPM

1.918

0.012

0.000

Apr 97

 LNE-INM

1.919

0.011

0.003

Jul 97

 BIPM

1.914

0.012

0.000

Sep 97

Set of mass standards: Package 2

 Lab i x(rep)i
/ mg		 ui
/ mg

xi
/ mg

 Date of measurement
 BIPM

1.803

 0.012 0.000 Feb 95
 NIST

1.775

 0.019 -0.021 Jul 95
 NRC

1.776

 0.016 -0.020 Sep 95
 NMIJ

1.773

 0.013 -0.023 Feb 96
 BIPM

1.789

 0.012 0.000 May 96
 NMIA

1.791

 0.014 0.002 Jul 96
 BIPM

1.790

 0.012 0.000 Sep 96
 NIM

1.830

 0.021 -0.004 Oct 96
 BIPM

1.835

 0.012 0.000 Feb 97
 BIPM

1.803

 0.012 0.000 Feb 97
 INRIM

1.798

 0.013 -0.003

May 97

 BIPM

1.799

0.012

0.000

Jun 97

 CENAM

1.794

0.013

-0.001

Sep 97

 BIPM

1.791

0.012

0.000

Oct 97

  • Key comparison APMP.M.M-K1

xAPMP i : reported result, obtained as the difference between the measurement of the mass standards carried out by laboratory i and the nominal value 1 kg
UAPMP i : expanded uncertainty (k = 2) of xAPMP i

All laboratories determined the mass of two travelling standards, Mass standard m: and Mass standard m::.
As APMP.M.M-K1 Pilot laboratory, NIMT determined the mass of the travelling standards five time during the course of the comparison.

 Lab i xAPMP i
/ mg		 UAPMP i
/ mg

xAPMP i
/ mg

UAPMP i
/ mg

 Date of measurement

Mass standard m:

Mass standard m::

 NIMT

0.081

 0.032

-0.127

0.032

 20-21 Jul 99
 CMS/ITRI

0.099

 0.026

-0.113

0.026

 19-27 Aug 99
 NMIJ

0.115

 0.076

-0.089

0.076

 Sep 99
 NIMT

0.090

 0.032

-0.125

0.032

 30 Nov-1 Dec 99
 NPLI

0.101

 0.028

-0.097

0.028

 28-31 Dec 99
 MSL

0.114

 0.041

-0.068

0.041

 Feb-Mar 00
 NIMT

0.123

 0.032

-0.088

0.032

 30-31 Mar 00
 NML-SIRIM

0.120

 0.110

-0.070

0.110

 24 Apr 00
 ITDI

0.281

 0.073

0.118

0.069

 May-Jun 00
 KRISS

0.095

 0.029

-0.099

0.029

23 Jun-11 Jul 00

 NIMT

0.080

0.032

-0.086

0.032

08-09 Aug 00

 NMIA

0.094

0.030

-0.094

0.030

Sep 00

 SCL

0.087

0.044

-0.093

0.044

Oct 00

 SPRING

0.18

0.13

0.03

0.12

Nov 00

 VMI

-0.022

0.042

-0.214

0.042

08-30 Dec 00

 NMISA

0.100

0.040

-0.095

0.040

08 Jan 01

 NIS

0.039

0.041

-0.154

0.041

22-26 Nov 01

 NIMT

0.092

0.032

-0.097

0.032

18-19 Jun 01

  • Key comparison EUROMET.M.M-K1

xEUR i : reported result, obtained as the difference between the measurement of the mass standards carried out by laboratory i and the nominal value 1 kg
uEUR i : standard uncertainty (k = 1) of xEUR i

 Lab i xEUR i
/ µg		 uEUR i
/ µg

xEUR i
/ µg

uEUR i
/ µg

 Date of measurement

Mass standard PTBC

Mass standard INM11

 JV

-577

 23.5

2428

21.5

 May 95
 SP

-589

 18.0

2411

18.0

 Jun 95
 MIKES

-596

 17.2

2393

17.1

 Sep-Oct 95
 DFM

-571

 20.0

2444

20.0

 Nov 95
 PTB

-589

 14.8

2422

13.2

 Apr-May 96
 INRIM

-559

 13.6

2451

13.9

 Jun-Aug 96
 NPL

-572

 14.4

2432

14.9

 Aug-Sep 96
 SMD

-599

 21.0

2401

21.0

 Nov 96
 LNE

-591

 18.0

2415

18.0

 Dec-Feb 97
 CEM

-600

 17.0

2412

17.1

Mar-Apr 97

  • Key comparison EUROMET.M.M-K4

xEUR4 i : reported result, obtained as the difference between the measurement of the mass standards carried out by laboratory i and the nominal value 1 kg
uEUR4 i : standard uncertainty (k = 1) of xEUR4 i

 Lab i xEUR4 i
/ µg

xEUR4 i
/ µg

uEUR4 i
/ µg

 Date of measurement
Mass standard

m61 m61D

 SMD

-807

-997

25

 Feb 01
 NMi-VSL

-799

-984

11

 Mar 01
 CEM

-815

-1002

10

 Apr 01
 GUM

-784

-976

29

 Jun 01
 CMI

-835

-1018

70

 Jul 01
 PTB

-786

-980

13

 Aug 01
 SMU

-798

-985

15

 Sep 01
 NPL

-802

-993

12

 Sep 01