CCT-K4, EUROMET.T-K4, EURAMET.T-K3.3, APMP.T-K4, EURAMET.T-K3.5 and APMP.T-K4.2
MEASURAND : Freezing-point temperature of Aluminium (Al) fixed-point cells
NOMINAL TEMPERATURE : 660.323 °C
Degrees of equivalence represented by Di and its expanded uncertainty Ui at a 95 % level of confidence, both expressed in mK.
Enlarged graph

CCT-K4, EUROMET.T-K4, APMP.T-K4.1 and CCT-K4.1
MEASURAND : Freezing-point temperature of Silver (Ag) fixed-point cells
NOMINAL TEMPERATURE : 961.78 °C
Degrees of equivalence represented by Di and its expanded uncertainty Ui at a 95 % level of confidence, both expressed in mK.
* LNE-INM was named "BNM-INM" at the time of key comparison CCT-K4
** INRIM was named "IMGC" at the time of key comparison CCT-K4
CCT-K4, EUROMET.T-K4, EURAMET.T-K3.3, APMP.T-K4, EURAMET.T-K3.5 and APMP.T-K4.2
MEASURAND : Freezing-point temperature of Aluminium (Al) fixed-point cells
NOMINAL TEMPERATURE : 660.323 °C
Degrees of equivalence represented by Di and its expanded uncertainty Ui at a 95 % level of confidence, both expressed in mK.
| LABi | Di | Uneg,i | Upos,i | |
|---|---|---|---|---|
mK |
mK |
mK |
||
| BNM-INM | 0.25 | 1.47 | ||
| CNR-IMGC | 1.00 | 1.44 | ||
| KRISS | -2.26 | 2.13 | ||
| NIM | -0.13 | 3.49 | ||
| NIST | 1.01 | 1.08 | ||
| NMi-VSL | -4.35 | 4.16 | ||
| CSIRO-NML | 1.93 | 1.51 | ||
| NPL | -2.25 | 2.39 | ||
| NRC | 0.56 | 1.46 | ||
| NMIJ | -1.79 | 1.60 | ||
| PTB | -0.75 | 1.54 | ||
| VNIIM | -1.50 | 1.82 | ||
| DTI | 1.38 | 6.00 | ||
| JV | 1.41 | 5.10 | ||
| BKFH | -2.77 | 4.52 | ||
| SMU | 3.35 | 4.18 | ||
| INM | -3.80 | 4.27 | ||
| UME | 0.75 | 4.79 | ||
| DZM/FSB | -2.43 | 12.78 | ||
| CMI | 1.53 | 4.92 | ||
| GUM | 4.41 | 4.37 | ||
| LNE-INM | 4.75 | 4.08 | ||
| MIRS | -0.37 | 4.16 | ||
| METAS | 6.25 | 3.65 | ||
| BEV | 3.28 | 4.76 | ||
| NPL | 1.94 | 3.47 | ||
| SP | 3.50 | 4.00 | ||
| VMT/PFI | 3.50 | 4.70 | ||
| VNIIM | 3.69 | 3.50 | ||
| MIKES | 0.49 | 4.98 | ||
| EIM | -11.99 | 6.33 | ||
| INRIM | -0.38 | 5.04 | ||
| IPQ | 0.99 | 4.86 | ||
| CEM | 1.30 | 7.75 | ||
| NMi-VSL | 2.36 | 5.05 | ||
| PTB | 2.83 | 3.92 | ||
| LACOMET | 2.1 | 9.7 | ||
| SCL | 1.05 | 5.97 | ||
| NMC, A*STAR | 2.92 | 7.91 | ||
| CMS | -3.19 | 11.42 | ||
| NIMT | -3.56 | 10.72 | ||
| NML-SIRIM | -14.46 | 9.31 | ||
| NPLI | 2.70 | 6.20 | ||
| ROTH+CO.AG | 7.44 | 6.97 | ||
| MSL | -3.7 | 5.0 | ||
| NMC, A*STAR | 2.7 | 4.1 | ||
| NMIM | -17.4 | 8.3 | ||
| NMISA | -12.7 | 4.4 | ||
| NIMT | 0.9 | 4.2 | ||
| SCL | 0.9 | 3.8 | ||
| SNSU-BSN | -2.4 | 7.2 |
CCT-K4, EUROMET.T-K4, APMP.T-K4.1 and CCT-K4.1
MEASURAND : Freezing-point temperature of Silver (Ag) fixed-point cells
NOMINAL TEMPERATURE : 961.78 °C
Degrees of equivalence represented by Di and its expanded uncertainty Ui at a 95 % level of confidence, both expressed in mK.
| LABi | Di | Uneg,i | Upos,i | |
|---|---|---|---|---|
mK |
mK |
mK |
||
| BNM-INM | -2.69 | 3.13 | ||
| IMGC | 0.85 | 2.58 | ||
| KRISS | 0.74 | 2.69 | ||
| NIM | -3.03 | 6.18 | ||
| NIST | 1.16 | 1.01 | ||
| NMi-VSL | -7.12 | 4.15 | ||
| CSIRO-NML | -13.03 | 12.89 | ||
| NPL | -3.89 | 3.97 | ||
| NRC | 1.23 | 4.95 | ||
| NMIJ | -2.74 | 3.29 | ||
| PTB | 1.27 | 1.50 | ||
| VNIIM | -2.16 | 2.40 | ||
| CMI | -11.35 | 8.07 | ||
| GUM | -6.08 | 7.47 | ||
| LNE-INM* | 2.54 | 9.44 | ||
| MIRS | -4.71 | 9.11 | ||
| METAS | -8.81 | 8.89 | ||
| BEV | -7.84 | 8.54 | ||
| SMU | -5.91 | 13.55 | ||
| NPL | -5.70 | 13.94 | ||
| SP | -6.16 | 14.55 | ||
| VMT/PFI | 3.81 | 14.65 | ||
| VNIIM | 3.11 | 14.20 | ||
| MIKES | -0.79 | 11.40 | ||
| EIM | 2.95 | 10.96 | ||
| INRIM** | -3.98 | 9.44 | ||
| IPQ | -1.28 | 11.41 | ||
| CEM | -2.69 | 14.18 | ||
| NMi-VSL | -4.06 | 9.53 | ||
| PTB | -5.63 | 10.70 | ||
| CMS | -2.47 | 8.50 | ||
| NMIA | -0.78 | 6.22 |
* LNE-INM was named "BNM-INM" at the time of key comparison CCT-K4
** INRIM was named "IMGC" at the time of key comparison CCT-K4
| Metrology area, Sub-field | Thermometry, Fixed Point Cells |
| Description | Comparison of local realizations of Aluminium freezing-point temperatures |
| Time of measurements | 2003 - 2005 |
| Status | Approved for equivalence |
| Final Reports of the comparisons | |
| Measurand | Temperature: 660.323 °C |
| Transfer device | Aluminium cells, plus high temperature standard platinum resistance thermometers |
| Comparison type | Key Comparison |
| Consultative Committee | CCT (Consultative Committee for Thermometry) |
| Conducted by | APMP (Asia Pacific Metrology Programme) |
| Comments | Results published on 22 May 2013 EUROMET.T-K4, EURAMET.T-K3.3, APMP.T-K4 and EURAMET.T-K3.5 results are linked to those of CCT-K4 Local realizations of Aluminium freezing-point temperature |
| Pilot institute |
KRISS
Korea Research Institute of Standards and Science Korea, Republic of |
| Contact person | Kee Sool Gam +82 42 868 5193 |
| Pilot laboratory | |
|---|---|
| KRISS |
Korea Research Institute of Standards and Science, Korea, Republic of, APMP |
| CMS |
ITRI Center for Measurement Standards, Chinese Taipei, APMP |
| NIMT |
National Institute of Metrology (Thailand), Thailand, APMP |
| NMC, A*STAR |
National Metrology Centre, Agency for Science, Technology and Research, Singapore, APMP |
| NMIJ AIST |
National Metrology Institute of Japan, Japan, APMP |
| NML-SIRIM (became NMIM) |
National Metrology Laboratory, SIRIM Berhad (became National Metrology Institute of Malaysia), Malaysia, APMP |
| NPLI |
CSIR National Physical Laboratory of India, India, APMP |
| SCL |
Standards and Calibration Laboratory, Hong Kong, China, APMP |
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CCT-K4, EUROMET.T-K4, EURAMET.T-K3.3, APMP.T-K4, EURAMET.T-K3.5 and APMP.T-K4.2
MEASURAND : Freezing-point temperature of Aluminium (Al) fixed-point cells
NOMINAL TEMPERATURE : 660.323 °C
Key comparison reference value for the nominal temperature of Ag fixed point:
the key comparison reference temperature, TR, is the weighted average temperature calculated using the sum (ui2 + uc2) of the squared uncertainties to set the weights. It has zero uncertainty by definition.
The degree of equivalence of each laboratory with respect to the key comparison reference value is given by a pair of terms: Di = (Ti - TR) and Ui, its expanded uncertainty at a 95% level of confidence, both expressed in mK.
Ui = [(2uc)2 + Ulab i2]1/2, where Ulab i is the expanded uncertainty of laboratory i at a 95% level of confidence.
Linking EUROMET.T-K4 to CCT-K4
The reference value TEUR of key comparison EUROMET.T-K4 is computed as the simple mean of the EUROMET.T-K4 participants' results. The expanded uncertainty (k = 2) is calculated from the uncertainties of the laboratories.
TEUR = TPTB - (1.18 +/- 1.06) mK, (k = 2)
The linkage of EUROMET.T-K4 results to those of CCT-K4 is explained in Section 6.6 of the EUROMET.T-K4 Final Report, and is based on the results of common participants to both comparisons: INRIM, LNE-INM, NPL, PTB, VNIIM, and NMi-VSL.
TEUR = TR + (1.65 +/- 2.28) mK, (k = 2)
This equation allows to deduce the degrees of equivalence of the EUROMET.T-K4 participants relative to the CCT-K4 key comparison reference value, each composed of the offset Di and Ui, its expanded uncertainty (k = 2), expressed in mK.
Linking EURAMET.T-K3.3 to CCT-K4
The LACOMET result obtained in EURAMET.T-K3.3 is linked to the results of CCT-K4 using the participation of CEM in EUROMET.T-K4, whose results are linked to those of CCT-K4, as described above and in the 'Laboratory Measurements' tab.
Linking APMP.T-K4 to CCT-K4
The participants' results obtained in APMP.T-K4 are linked to the results of CCT-K4 using the common participation of KRISS and NMIJ in both key comparisons. The linkage process is explained in section 4.2 of the APMP.T-K4 Final Report, and leads to the computation of the degrees of equivalence of participants in APMP.T-K4 relative to the CCT-K4 reference value.
Linking EURAMET.T-K3.5 to CCT-K4
The ROTH+CO.AG result obtained in EURAMET.T-K3.5 is linked to the results of CCT-K4 using the participation of VSL in EUROMET.T-K4, whose results are linked to those of CCT-K4, as described above and in the 'Laboratory Measurements' tab.
Linking APMP.T-K4.2 to CCT-K4
The institutes KRISS and NIM provide the link between the key comparison APMP.T-K4.2 to CCT-K4, having participated in both comparisons. The linking process is described in Section 7 APMP.T-K4.2 Final Report.
CCT-K4, EUROMET.T-K4, APMP.T-K4.1 and CCT-K4.1
MEASURAND : Freezing-point temperature of Silver (Ag) fixed-point cells
NOMINAL TEMPERATURE : 961.78 °C
Key comparison reference value for the nominal temperature of Ag fixed point:
the key comparison reference temperature, TR, is the weighted average temperature calculated using the sum (ui2 + uc2) of the squared uncertainties to set the weights. It has zero uncertainty by definition.
The degree of equivalence of each laboratory with respect to the key comparison reference value is given by a pair of terms: Di = (Ti - TR) and Ui, its expanded uncertainty at a 95% level of confidence, both expressed in mK.
Ui = [(2uc)2 + Ulab i2]1/2, where Ulab i is the expanded uncertainty of laboratory i at a 95% level of confidence.
Linking EUROMET.T-K4 to CCT-K4
The reference value TEUR of key comparison EUROMET.T-K4 is computed as the simple mean of the EUROMET.T-K4 participants' results. The expanded uncertainty (k = 2) is calculated from the uncertainties of the laboratories.
TEUR = TTPV - (0.52 +/- 1.30) mK, (k = 2)
The linkage of EUROMET.T-K4 results to those of CCT-K4 is explained in Section 6.6 of the EUROMET.T-K4 Final Report, and is based on the results of common participants to both comparisons: INRIM, LNE-INM, NPL, PTB, VNIIM, and NMi-VSL.
TEUR = TR - (3.48 +/- 4.16) mK, (k = 2)
This equation allows to deduce the degrees of equivalence of the EUROMET.T-K4 participants relative to the CCT-K4 key comparison reference value, each composed of the offset Di and Ui, its expanded uncertainty (k = 2), expressed in mK.
Linking APMP.T-K4.1 to CCT-K4
The NIM (China) provides the link between the key comparison APMP.T-K4.1 to CCT-K4, having participated in both comparisons. The linking process is described in Section 8 APMP.T-K4.1 Final Report.
Linking APMP.T-K4.1 to CCT-K4.1
NMIJ provides the link between the key comparison CCT-K4.1 to CCT-K4, having participated in both comparisons. The linking process is described in Section 6 of the CCT-K4.1 Final report.
CCT-K4, EUROMET.T-K4, EURAMET.T-K3.3, APMP.T-K4, EURAMET.T-K3.5 and APMP.T-K4.2
MEASURAND : Freezing-point temperature of Aluminium (Al) fixed-point cells
NOMINAL TEMPERATURE : 660.323 °C
CCT-K4
Ti - Tmc : difference of Al fixed-point temperature realized at laboratory i, Ti, relative to the master circulated cell (PTB/NIST Al 94-3) temperature Tmc
Cell : designation of Al cell at laboratory i
ui : combined standard uncertainty of laboratory i
uc = 0.5 mK : standard uncertainty representing the stability of the circulated cells
| Lab i | Cell | (Ti - Tmc) / mK |
ui / mK |
(ui2 + uc2)1/2 / mK |
| BNM-INM | Al 123 | 3.87 | 0.51 | 0.72 |
| IMGC | Al Co3 | 4.62 | 0.50 | 0.71 |
| KRISS | Al | 1.36 | 0.90 | 1.03 |
| NIM | Al 1 | 3.49 | 0.90 | 1.03 |
| NIST | Al 94-2 | 4.63 | 0.19 | 0.54 |
| NMi-VSL | 93T267 | -0.74 | 1.93 | 1.99 |
| CSIRO-NML | Al 98/2 | 5.55 | 0.44 | 0.67 |
| NPL | Al 89 | 1.37 | 0.98 | 1.10 |
| NRC | Al-6 | 4.18 | 0.50 | 0.71 |
| NMIJ | Al 97-1 | 1.83 | 0.61 | 0.79 |
| PTB | Al 97-2 | 2.87 | 0.55 | 0.75 |
| VNIIM | Al | 2.12 | 0.71 | 0.87 |
EUROMET.T-K4
Ti - TPTB : difference of Al fixed-point temperature realized at laboratory i, Ti, relative to the PTB result. PTB is the Pilot Laboratory and is the only laboratory with measurements in the four loops organized in key comparison EUROMET.T-K4 - see Section 5.2 of the EUROMET.T-K4 Final Report
ULab i : expanded uncertainty (k = 2) of Ti - TPTB
| Lab i |
(Ti - TPTB) |
ULab i / mK |
| DTI | -1.45 | 5.65 |
| JV | -1.42 | 4.69 |
| MKEH | -5.60 | 4.04 |
| SMU | 0.52 | 3.65 |
| INM(RO) | -6.63 | 3.77 |
| UME | -2.08 | 4.34 |
| DZM/FSB | -5.26 | 12.62 |
| CMI | -1.30 | 4.49 |
| GUM |
1.58 |
3.88 |
| LNE-INM* | 1.92 | 3.54 |
| MIRS | -3.20 | 3.64 |
| METAS | 3.42 | 3.04 |
| BEV | 0.45 | 4.31 |
| NPL |
-0.89 |
2.81 |
| SP |
0.67 |
3.46 |
| VMT/PFI |
0.67 |
4.24 |
| VNIIM |
0.86 |
2.86 |
| MIKES |
-2.34 |
4.55 |
| EIM |
-14.82 |
5.99 |
| INRIM** |
-3.21 |
4.62 |
| IPQ |
-1.84 |
4.42 |
| CEM |
-1.53 |
7.49 |
| NMi-VSL |
-0.47 |
4.63 |
| PTB |
0.00 |
3.36 |
* LNE-INM was named "BNM-INM" at the time of key comparison CCT-K4
** INRIM was named "IMGC" at the time of key comparison CCT-K4
EURAMET.T-K3.3
This is a bilateral comparison carried out between CEM and LACOMET in 2009
TLACOMET - TCEM = 0.8 mK and U(TLACOMET - TCEM) = 5.4 mK (see on page 14 of the EURAMET.T-K3.3 Final Report), with U being the expanded uncertainty considering a coverage factor k equal to 2
APMP.T-K4
Ti - TKRISS : difference of Al fixed-point temperature realized at laboratory i, Ti, relative to the KRISS result. KRISS is the Pilot Laboratory and is the only laboratory with measurements in the two loops organized in key comparison APMP.T-K4 - see page 4 of the APMP.T-K4 Final Report
ULab i : expanded uncertainty (k = 2) of Ti - TKRISS
| Lab i |
(Ti - TKRISS) |
ULab i / mK |
| NMIJ | 2.20 | 4.70 |
| SCL | 4.18 | 4.56 |
| NMC, A*STAR | 6.04 | 6.02 |
| CMS | -0.07 | 5.46 |
| NIMT | -0.43 | 8.28 |
| NML-SIRIM | -11.34 | 7.70 |
| NPLI | 5.83 | 5.12 |
EURAMET.T-K3.5
This is a bilateral comparison carried out between VSL and ROTH+CO.AG in 2013
TROTH+CO.AG - TVSL = 4.69 mK and U(TROTH+CO.AG - TVSL) = 4.81 mK (see on page 11 of the EURAMET.T-K3.5 Final Report), with U being the expanded uncertainty considering a coverage factor k equal to 2
APMP.T-K4.2
Ti - TKRISS : difference of Al fixed-point temperature of each laboratory i, averaged over two artifacts (one artifact each in case of NMC and SCL) used in this comparison, relative to the KRISS result.
ULab i : expanded uncertainty (k = 2) of Ti - TKRISS as explained in Section 6.1 of the APMP.T-K4.2 Final report.
| Lab i |
(Ti - TKRISS) |
ULab i / mK |
| NIM | 7.3 | 1.0 |
| MSL | 0.8 | 2.0 |
| NMC,A*STAR | 7.2 | 1.5 |
| NMIM | -13.0 | 3.9 |
| NMISA | -8.3 | 1.7 |
| NIMT | 5.4 | 1.6 |
| SCL | 5.3 | 1.3 |
| SNSU-BSN | 2.0 | 3.3 |
CCT-K4, EUROMET.T-K4, APMP.T-K4.1 and CCT-K4.1
MEASURAND : Freezing-point temperature of Silver (Ag) fixed-point cells
NOMINAL TEMPERATURE : 961.78 °C
CCT-K4
Ti - Tmc : difference of Ag fixed-point temperature realized at laboratory i, Ti, relative to the master circulated cell (PTB Ag 6) temperature Tmc
Cell : designation of Ag cell at laboratory i
ui : combined standard uncertainty of laboratory i
uc = 0.2 mK : standard uncertainty representing the stability of the circulated cells
| Lab i | Cell | (Ti - Tmc) / mK |
ui / mK |
(ui2 + uc2)1/2 / mK |
| BNM-INM | Ag 105 | -3.96 | 1.52 | 1.53 |
| IMGC | Ag JM2 | -0.42 | 1.17 | 1.18 |
| KRISS | Ag | -0.53 | 1.29 | 1.30 |
| NIM | Ag 9402 | -4.30 | 1.56 | 1.57 |
| NIST | Ag 92-1 | -0.11 | 0.43 | 0.48 |
| NMi-VSL | 92T199 | -8.39 | 1.93 | 1.94 |
| CSIRO-NML | Ag | -14.3 | 6.42 | 6.42 |
| NPL | Ag 8/97 | -5.16 | 1.79 | 1.80 |
| NRC | Ag-6 | -0.04 | 2.45 | 2.46 |
| NMIJ | Ag 98-1 | -4.01 | 1.58 | 1.60 |
| PTB | Ag 6 | 0 | 0.71 | 0.73 |
| VNIIM | Ag | -3.43 | 1.08 | 1.10 |
Ti - TTPV : difference of Ag fixed-point temperature realized at laboratory i, Ti, relative to the "Thermometer PTB Value", TTPV, as explained in Sections 6.3 and 6.4 of the EUROMET.T-K4 Final Report
ULab i : expanded uncertainty (k = 2) of Ti - TTPV
| Lab i |
(Ti - TTPV) |
ULab i / mK |
| CMI | -7.99 | 7.03 |
| GUM | -2.72 | 6.34 |
| LNE-INM* | 5.90 | 8.57 |
| MIRS | -1.35 | 8.20 |
| METAS | -5.45 | 7.97 |
| BEV | -4.48 | 7.57 |
| SMU | -2.55 | 12.97 |
| NPL | -2.34 | 13.37 |
| SP | -2.80 | 14.00 |
| VMT/PFI | 7.17 | 14.11 |
| VNIIM | 6.47 | 13.64 |
| MIKES | 2.57 | 10.69 |
| EIM |
6.31 |
10.22 |
| INRIM** |
-0.62 |
8.57 |
| IPQ |
2.08 |
10.70 |
| CEM |
0.67 |
13.62 |
| NMi-VSL |
-0.70 |
8.67 |
| PTB |
-2.27 |
9.95 |
* LNE-INM was named "BNM-INM" at the time of key comparison CCT-K4
** INRIM was named "IMGC" at the time of key comparison CCT-K4
APMP.T-K4.1
The measurement results are listed in Table 9 of the APMP.T-K4.1 Final Report.
CCT-K4.1
The measurement results are described in Section 5 of the CCT-K4.1 Final Report.