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).
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 | |
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 |
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 |
VMT/VMC |
State Metrology Service / Vilnius Metrology Center, now Vilnius Metrology Center/VI Vilniaus metrologijos centras, VMC, Lithuania, EURAMET |
VNIIM |
D.I. Mendeleyev Institute for Metrology, Rosstandart, Russian Federation, COOMET |
This page proposes print-out on A4 paper (portrait) of the comparison details (best printed out using a black and white printer).
Please, select items to be printed out, then click on "OK" :
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
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. |
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). |
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). |
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. |
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. |
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). |
- 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.
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. |
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. |
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)
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
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
1.928 1.905 1.923 1.918 1.963 1.915 1.911 1.972 1.917 1.913 Mar 97 BIPM 1.918 0.012 0.000 Apr 97 1.919 0.011 0.003 Jul 97 1.914 0.012 0.000 Sep 97
Lab i
x(rep)i
/ mgui
/ mgxi
/ mgDate of measurement
BIPM
0.012
0.000
Feb 95
NMi-VSL
0.018
-0.018
May 95
NPL
0.016
-0.001
Jul 95
BIPM
0.012
0.000
Sep 95
VNIIM
0.024
0.046
Feb 96
BIPM
0.012
0.000
May 96
PTB
0.012
-0.004
Aug 96
SMU
0.022
0.057
Dec 96
BIPM
0.012
0.000
Feb 97
KRISS
0.014
-0.004
LNE-INM
BIPM
Set of mass standards: Package 2
Lab i | x(rep)i / mg |
ui / mg |
xi |
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
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 |
UAPMP i |
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
NMISA0.100
0.040
-0.095
0.040
08 Jan 01
NIS0.039
0.041
-0.154
0.041
22-26 Nov 01
NIMT0.092
0.032
-0.097
0.032
18-19 Jun 01
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 |
uEUR i |
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 |
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 |
uEUR4 i |
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 | |