Comparison Display

EUROMET.T-K3, EURAMET.T-K3.3 and EURAMET.T-K3.5

NOMINAL TEMPERATURE : Argon Triple Point, 83.8058 K

Degrees of equivalence, D_i and expanded uncertainty U_i (k = 2),
both expressed in mK

Blue circles: participants in EUROMET.T-K3
Pink triangle: participant in EURAMET.T-K3.3 only
Green square: participant in EURAMET.T-K3.5 only

U_LACOMET = 12 mK

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EUROMET.T-K3, EURAMET.T-K3.3, EURAMET.T-K3.1 and EURAMET.T-K3.5

NOMINAL TEMPERATURE : Mercury Triple Point, 234.3156 K

Degrees of equivalence, D_i and expanded uncertainty U_i (k = 2),
both expressed in mK

Blue circles: participants in EUROMET.T-K3
Pink triangle: participant in EURAMET.T-K3.3 only
Brown diamond: participant in EURAMET.T-K3.1 only
Green square: participant in EURAMET.T-K3.5 only

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EUROMET.T-K3, EURAMET.T-K3.3, EURAMET.T-K3.1 and EURAMET.T-K3.5

NOMINAL TEMPERATURE : Gallium Melting Point, 302.9146 K

Degrees of equivalence, D_i and expanded uncertainty U_i (k = 2),
both expressed in mK

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EUROMET.T-K3, EURAMET.T-K3.3, EURAMET.T-K3.1 and EURAMET.T-K3.5

NOMINAL TEMPERATURE : Indium Freezing Point, 429.7485 K

Degrees of equivalence, D_i and expanded uncertainty U_i (k = 2),
both expressed in mK

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EUROMET.T-K3, EURAMET.T-K3.3, EURAMET.T-K3.1 and EURAMET.T-K3.5

NOMINAL TEMPERATURE : Tin Freezing Point, 505.078 K

Degrees of equivalence, D_i and expanded uncertainty U_i (k = 2),
both expressed in mK

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EUROMET.T-K3, EURAMET.T-K3.3, EURAMET.T-K3.1 and EURAMET.T-K3.5

NOMINAL TEMPERATURE : Zinc Freezing Point, 692.677 K

Degrees of equivalence, D_i and expanded uncertainty U_i (k = 2),
both expressed in mK

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CCT-K4, EUROMET.T-K4, EURAMET.T-K3.3, APMP.T-K4 and EURAMET.T-K3.5

MEASURAND : Freezing-point temperature of Aluminium (Al) fixed-point cells
NOMINAL TEMPERATURE : 660.323 °C

Degrees of equivalence D_iand expanded uncertainty U_i(95% level of confidence) expressed in mK

Click on the graph for a closer view

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EUROMET.T-K3, EURAMET.T-K3.3 and EURAMET.T-K3.5

NOMINAL TEMPERATURE : Argon Triple Point, 83.8058 K

All values given in the following Table are expressed in mK


Lab i	D_i	U_i
PTB	-0.17	0.79
GUM	-0.74	0.99
INM(RO)	0.28	0.89
UME	-1.00	0.89
NPL	0.11	0.45
JV	0.17	0.94
SMD	0.87	0.86
INRIM	0.28	0.59
CEM	-0.57	1.07
METAS	-0.32	0.92
IPQ	-0.23	0.98
MIRS/FE-LMK	-0.05	0.92
NMi-VSL	-0.01	0.52
MIKES	-0.30	1.14
SP	0.30	0.96
LNE-INM	0.12	0.77

LACOMET: participant in EURAMET.T-K3.3 only
D_LACOMET = -0.1 mK and U_LACOMET = 12 mK

ROTH+CO.AG: participant in EURAMET.T-K3.5 only
D_ROTH+CO.AG = 0.72 mK and U_ROTH+CO.AG = 1.14 mK

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

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EUROMET.T-K3, EURAMET.T-K3.3, EURAMET.T-K3.1 and EURAMET.T-K3.5

NOMINAL TEMPERATURE : Mercury Triple Point, 234.3156 K

All values given in the following Table are expressed in mK


Lab i	D_i	U_i
PTB	0.03	0.39
GUM	-0.13	0.74
CMI	0.01	0.70
INM(RO)	0.74	0.84
UME	-0.61	0.71
NPL	0.30	0.52
JV	0.17	0.91
EIM	0.42	0.69
SMD	0.34	0.67
NML(IE)	0.42	0.80
INRIM	-0.11	0.37
CEM	-0.19	0.57
METAS	-0.04	0.51
IPQ	-0.19	0.66
BEV	-0.90	1.07
MIRS/FE-LMK	-0.17	0.68
NMi-VSL	0.11	0.45
MIKES	0.05	0.82
VMT/PFI	-0.07	0.65
SP	0.05	0.87
DTI	2.66	3.08
SMU	0.16	0.84
OMH	-0.29	0.63
LNE-INM	-0.25	0.68

LACOMET: participant in EURAMET.T-K3.3 only
D_LACOMET = -0.29 mK and U_LACOMET = 0.85 mK

BIM: participant in EURAMET.T-K3.1 only
D_BIM = -0.06 mK and U_BIM = 0.67 mK

ROTH+CO.AG: participant in EURAMET.T-K3.5 only
D_ROTH+CO.AG = 0.51 mK and U_ROTH+CO.AG = 1.06 mK

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

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EUROMET.T-K3, EURAMET.T-K3.3, EURAMET.T-K3.1 and EURAMET.T-K3.5

NOMINAL TEMPERATURE : Gallium Melting Point, 302.9146 K

All values given in the following Table are expressed in mK


Lab i	D_i	U_i
PTB	0.15	0.30
GUM	0.17	0.59
CMI	0.18	0.56
INM(RO)	0.16	0.44
UME	0.02	0.57
NPL	-0.11	0.42
JV	0.55	0.63
EIM	0.25	0.61
SMD	-0.18	0.56
NML(IE)	0.10	0.74
INRIM	-0.11	0.28
CEM	0.20	0.55
METAS	0.02	0.68
IPQ	-0.13	0.83
BEV	-0.42	1.04
MIRS/FE-LMK	0.16	0.51
NMi-VSL	-0.17	0.35
MIKES	0.02	0.67
VMT/PFI	-0.18	0.54
SP	0.21	0.56
DTI	-0.14	0.61
SMU	-0.13	0.51
OMH	-0.28	0.66
LNE-INM	-0.09	0.28

LACOMET: participant in EURAMET.T-K3.3 only
D_LACOMET = 0.46 mK and U_LACOMET = 0.82 mK

BIM: participant in EURAMET.T-K3.1 only
D_BIM = -0.16 mK and U_BIM = 0.63 mK

ROTH+CO.AG: participant in EURAMET.T-K3.5 only
D_ROTH+CO.AG = 0.66 mK and U_ROTH+CO.AG = 1.06 mK

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

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EUROMET.T-K3, EURAMET.T-K3.3, EURAMET.T-K3.1 and EURAMET.T-K3.5

NOMINAL TEMPERATURE : Indium Freezing Point, 429.7485 K

All values given in the following Table are expressed in mK


Lab i	D_i	U_i
PTB	0.16	0.92
GUM	1.71	1.35
CMI	1.24	1.18
INM(RO)	-3.90	4.95
UME	0.22	1.71
NPL	-0.73	0.83
JV	-0.28	1.92
EIM	1.25	1.68
SMD	-0.56	1.68
INRIM	-0.03	0.72
CEM	0.17	1.25
METAS	0.40	1.12
IPQ	0.92	2.03
BEV	0.41	1.15
MIRS/FE-LMK	0.41	1.41
NMi-VSL	-0.45	0.56
MIKES	-0.14	1.99
SP	0.29	1.24
DTI	-0.29	2.14
SMU	-0.33	0.99
LNE-INM	-0.15	0.99

LACOMET: participant in EURAMET.T-K3.3 only
D_LACOMET = 0.6 mK and U_LACOMET = 2.1 mK

BIM: participant in EURAMET.T-K3.1 only
D_BIM = -0.14 mK and U_BIM = 1.1 mK

ROTH+CO.AG: participant in EURAMET.T-K3.5 only
D_ROTH+CO.AG = 1.09 mK and U_ROTH+CO.AG = 2.07 mK

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

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EUROMET.T-K3, EURAMET.T-K3.3, EURAMET.T-K3.1 and EURAMET.T-K3.5

NOMINAL TEMPERATURE : Tin Freezing Point, 505.078 K

All values given in the following Table are expressed in mK


Lab i	D_i	U_i
PTB	0.43	0.90
GUM	-0.37	1.26
CMI	0.00	0.95
INM(RO)	-2.34	2.72
UME	-0.15	1.22
NPL	-0.29	0.87
JV	-0.65	1.45
EIM	-0.16	1.42
SMD	-2.24	1.22
NML(IE)	0.06	1.59
INRIM	0.06	0.95
CEM	0.61	1.43
METAS	0.69	1.07
IPQ	1.07	1.43
BEV	1.02	1.40
MIRS/FE-LMK	0.44	1.15
NMi-VSL	0.22	0.92
MIKES	-0.50	1.34
VMT/PFI	0.03	1.63
SP	-0.09	1.20
DTI	-0.39	1.98
SMU	0.18	1.39
OMH	0.20	1.90
LNE-INM	0.06	1.00

LACOMET: participant in EURAMET.T-K3.3 only
D_LACOMET = -0.7 mK and U_LACOMET = 2.2 mK

BIM: participant in EURAMET.T-K3.1 only
D_BIM = 0.05 mK and U_BIM = 1.4 mK

ROTH+CO.AG: participant in EURAMET.T-K3.5 only
D_ROTH+CO.AG = 0.82 mK and U_ROTH+CO.AG = 2.13 mK

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

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EUROMET.T-K3, EURAMET.T-K3.3, EURAMET.T-K3.1 and EURAMET.T-K3.5

NOMINAL TEMPERATURE : Zinc Freezing Point, 692.677 K

All values given in the following Table are expressed in mK


Lab i	D_i	U_i
PTB	-0.49	1.44
GUM	1.21	1.51
CMI	0.07	1.38
INM(RO)	-1.70	3.57
UME	-0.50	1.61
NPL	-0.73	1.57
JV	-0.92	2.21
EIM	-0.75	2.20
SMD	-1.35	2.31
NML(IE)	-0.34	3.09
INRIM	-0.43	1.96
CEM	0.30	2.36
METAS	0.27	2.13
IPQ	1.92	2.21
BEV	0.92	2.13
MIRS/FE-LMK	-0.30	2.54
NMi-VSL	-0.82	1.58
MIKES	0.19	1.98
VMT/PFI	-0.37	2.11
SP	-0.44	1.87
DTI	0.16	2.34
SMU	0.60	1.32
OMH	0.91	2.39
LNE-INM	0.86	1.69

LACOMET: participant in EURAMET.T-K3.3 only
D_LACOMET = -2.1 mK and U_LACOMET = 3.2 mK

BIM: participant in EURAMET.T-K3.3 only
D_BIM = -1.62 mK and U_BIM = 2.2 mK

ROTH+CO.AG: participant in EURAMET.T-K3.5 only
D_ROTH+CO.AG = 1.72 mK and U_ROTH+CO.AG = 2.82 mK

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

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CCT-K4, EUROMET.T-K4, EURAMET.T-K3.3, APMP.T-K4 and EURAMET.T-K3.5

MEASURAND : Freezing-point temperature of Aluminium (Al) fixed-point cells
NOMINAL TEMPERATURE : 660.323 °C

Degrees of equivalence, D_i and expanded uncertainty U_i, relative to the CCT-K4 key comparison reference value

* 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

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

Comparison

Comparison close

EURAMET.T-K3.3

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Information & contact
Participants

Metrology area, Sub-field	Thermometry, Standard Platinum Resistance Thermometers
Description	Realizations of the ITS-90 from 83.8 K to 933 K
Time of measurements	2009
Status	Approved for equivalence

Final Reports of the comparisons	EURAMET.T-K3.3 Final Report, 2012, 47 pages Metrologia, 2012, 49, Tech. Suppl., 03007
Measurand	Temperature: 234 K to 993 K
Transfer device	Standard Platinum Resistance Thermometers

Comparison type	Key Comparison
Consultative Committee	CCT (Consultative Committee for Thermometry)
Conducted by	EURAMET (European Association of National Metrology Institutes)
Comments	Results published on 31 August 2012 EURAMET.T-K3.3, EURAMET.T-K3.1 and EURAMET.T-K3.5 results are linked to those of EUROMET.T-K3 for the Ar, Hg, Ga, In, Sn and Zn fixed points EUROMET.T-K4, EURAMET.T-K3.3, APMP.T-K4 and EURAMET.T-K3.5 results are linked to those of CCT-K4 for the Al fixed point Realizations of the ITS-90 from the Argon to the Aluminium fixed points
Pilot institute	CEM Centro Español de Metrologia Spain
Contact person	Dolores DEL CAMPO +34 918 074 714

Pilot laboratory
CEM	Centro Español de Metrologia, Spain, EURAMET

LACOMET

Laboratorio Costarricense de Metrologia, Costa Rica, SIM

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EUROMET.T-K3, EURAMET.T-K3.3 and EURAMET.T-K3.5

NOMINAL TEMPERATURE : Argon Triple Point, 83.8058 K

Key comparison EUROMET.T-K3

For each fixed-point temperature, the difference (T_R - T_P) between the EUROMET reference value, T_R, and T_P, is computed as the weighted mean of all participants' results (T_i - T_P), with weights inversely proportional to u_iP, as explained in Section 8.1 of the Final Report.

For each fixed-point temperature, the degree of equivalence of laboratory i with respect to the EUROMET reference value is given by a pair of terms, both expressed in mK: D_i = (T_i - T_R), obtained from the differences relative to the Pilot Laboratory
D_i = (T_i - T_P) - (T_R - T_P), and U_i, its expanded uncertainty (k = 2), involving the measurement uncertainty at laboratory i, the uncertainty associated with the stability of the travelling SPRTs, and the repeatability of the calibration at the Pilot Laboratory (see Section 8.2 of the Final Report).

For each fixed-point temperature, the degree of equivalence between two laboratories i and j is given by a pair of terms, both expressed in mK: D_ij = D_i - D_j, and U_ij, its expanded uncertainty at a 95 % level of confidence. The computation of U_ij between participants in the same loop, and participants in different loops is explained in Sections 11.1 and 11.2 of the Final Report.

Linking EUROMET.T-K3 to CCT-K3

The Pilot Laboratory and the five Co-Pilots have participated in both comparisons.
The comparison of their averaged results in both exercises shows that they perform equally within 0.1 mK for all temperatures, except for the Zinc fixed-point temperature (0.23 mK) and the Tin fixed-point temperature (0.14 mK), as explained in Section 10.1 of the Final Report.
The uncertainty linked with the reproducibility between both exercises in also computed (see Table 28 on page 60 of the Final Report) and taken into account for the estimation of the pair-wise degrees of equivalence between participants in EUROMET.T-K3 and CCT-K3 (see Section 11.3 of the Final Report).

For each fixed-point temperature, the BIPM key comparison database displays the degrees of equivalence relative to the EUROMET reference value, and the pair-wise degrees of equivalence computed inside the EUROMET key comparison.

Linking EURAMET.T-K3.3 and EURAMET.T-K3.5 to EUROMET.T-K3 and CCT-K3

The LACOMET results obtained in EURAMET.T-K3.3 are linked to the results of EUROMET.T-K3 and CCT-K3 using the participation of CEM in EUROMET.T-K3, whose results are linked to those of CCT-K3, as described above.
The ROTH+CO.AG results obtained in EURAMET.T-K3.5 are linked to the results of EUROMET.T-K3 and CCT-K3 using the participation of VSL in EUROMET.T-K3.
This makes it possible to extend the EUROMET.T-K3 graphs of equivalence with LACOMET and ROTH+CO.AG results.
LACOMET degrees of equivalence relative to the CCT-K3 ARV are given on page 17 of the EURAMET.T-K3.3 Final Report.
The computation of ROTH+CO.AG degrees of equivalence relative to the CCT-K3 ARV is explained in Section 8.1 of the EURAMET.T-K3.5 Final Report.

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EUROMET.T-K3, EURAMET.T-K3.3, EURAMET.T-K3.1 and EURAMET.T-K3.5

NOMINAL TEMPERATURE : Mercury Triple Point, 234.3156 K

Key comparison EUROMET.T-K3

Linking EUROMET.T-K3 to CCT-K3

Linking EURAMET.T-K3.3, EURAMET.T-K3.1 and EURAMET.T-K3.5 to EUROMET.T-K3 and CCT-K3

The LACOMET results obtained in EURAMET.T-K3.3 are linked to the results of EUROMET.T-K3 and CCT-K3 using the participation of CEM in EUROMET.T-K3, whose results are linked to those of CCT-K3, as described above.
The BIM results obtained in EURAMET.T-K3.1 are linked to the results of EUROMET.T-K3 and CCT-K3 using the participation of VSL in EUROMET.T-K3.
The ROTH+CO.AG results obtained in EURAMET.T-K3.5 are linked to the results of EUROMET.T-K3 and CCT-K3 using the participation of VSL in EUROMET.T-K3.
This makes it possible to extend the EUROMET.T-K3 graphs of equivalence with LACOMET, BIM and ROTH+CO.AG results.
LACOMET and BIM degrees of equivalence relative to the CCT-K3 ARV are given on page 17 of the EURAMET.T-K3.3 Final Report and on pages 10 and 11 of the EURAMET.T-K3.1 Final Report, respectively.
The computation of ROTH+CO.AG degrees of equivalence relative to the CCT-K3 ARV is explained in Section 8.1 of the EURAMET.T-K3.5 Final Report.

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EUROMET.T-K3, EURAMET.T-K3.3, EURAMET.T-K3.1 and EURAMET.T-K3.5

NOMINAL TEMPERATURE : Gallium Melting Point, 302.9146 K

Key comparison EUROMET.T-K3

Linking EUROMET.T-K3 to CCT-K3

Linking EURAMET.T-K3.3, EURAMET.T-K3.1 and EURAMET.T-K3.5 to EUROMET.T-K3 and CCT-K3

The LACOMET results obtained in EURAMET.T-K3.3 are linked to the results of EUROMET.T-K3 and CCT-K3 using the participation of CEM in EUROMET.T-K3, whose results are linked to those of CCT-K3, as described above.
The BIM results obtained in EURAMET.T-K3.1 are linked to the results of EUROMET.T-K3 and CCT-K3 using the participation of VSL in EUROMET.T-K3.
The ROTH+CO.AG results obtained in EURAMET.T-K3.5 are linked to the results of EUROMET.T-K3 and CCT-K3 using the participation of VSL in EUROMET.T-K3.
This makes it possible to extend the EUROMET.T-K3 graphs of equivalence with LACOMET, BIM and ROTH+CO.AG results.
LACOMET and BIM degrees of equivalence relative to the CCT-K3 ARV are given on page 17 of the EURAMET.T-K3.3 Final Report and on pages 10 and 11 of the EURAMET.T-K3.1 Final Report, respectively.
The computation of ROTH+CO.AG degrees of equivalence relative to the CCT-K3 ARV is explained in Section 8.1 of the EURAMET.T-K3.5 Final Report.

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EUROMET.T-K3, EURAMET.T-K3.3, EURAMET.T-K3.1 and EURAMET.T-K3.5

NOMINAL TEMPERATURE : Indium Freezing Point, 429.7485 K

Key comparison EUROMET.T-K3

Linking EUROMET.T-K3 to CCT-K3

Linking EURAMET.T-K3.3, EURAMET.T-K3.1 and EURAMET.T-K3.5 to EUROMET.T-K3 and CCT-K3

The LACOMET results obtained in EURAMET.T-K3.3 are linked to the results of EUROMET.T-K3 and CCT-K3 using the participation of CEM in EUROMET.T-K3, whose results are linked to those of CCT-K3, as described above.
The BIM results obtained in EURAMET.T-K3.1 are linked to the results of EUROMET.T-K3 and CCT-K3 using the participation of VSL in EUROMET.T-K3.
The ROTH+CO.AG results obtained in EURAMET.T-K3.5 are linked to the results of EUROMET.T-K3 and CCT-K3 using the participation of VSL in EUROMET.T-K3.
This makes it possible to extend the EUROMET.T-K3 graphs of equivalence with LACOMET, BIM and ROTH+CO.AG results.
LACOMET and BIM degrees of equivalence relative to the CCT-K3 ARV are given on page 17 of the EURAMET.T-K3.3 Final Report and on pages 10 and 11 of the EURAMET.T-K3.1 Final Report, respectively.
The computation of ROTH+CO.AG degrees of equivalence relative to the CCT-K3 ARV is explained in Section 8.1 of the EURAMET.T-K3.5 Final Report.

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EUROMET.T-K3, EURAMET.T-K3.3, EURAMET.T-K3.1 and EURAMET.T-K3.5

NOMINAL TEMPERATURE : Tin Freezing Point, 505.078 K

Key comparison EUROMET.T-K3

Linking EUROMET.T-K3 to CCT-K3

Linking EURAMET.T-K3.3, EURAMET.T-K3.1 and EURAMET.T-K3.5 to EUROMET.T-K3 and CCT-K3

The LACOMET results obtained in EURAMET.T-K3.3 are linked to the results of EUROMET.T-K3 and CCT-K3 using the participation of CEM in EUROMET.T-K3, whose results are linked to those of CCT-K3, as described above.
The BIM results obtained in EURAMET.T-K3.1 are linked to the results of EUROMET.T-K3 and CCT-K3 using the participation of VSL in EUROMET.T-K3.
The ROTH+CO.AG results obtained in EURAMET.T-K3.5 are linked to the results of EUROMET.T-K3 and CCT-K3 using the participation of VSL in EUROMET.T-K3.
This makes it possible to extend the EUROMET.T-K3 graphs of equivalence with LACOMET, BIM and ROTH+CO.AG results.
LACOMET and BIM degrees of equivalence relative to the CCT-K3 ARV are given on page 17 of the EURAMET.T-K3.3 Final Report and on pages 10 and 11 of the EURAMET.T-K3.1 Final Report, respectively.
The computation of ROTH+CO.AG degrees of equivalence relative to the CCT-K3 ARV is explained in Section 8.1 of the EURAMET.T-K3.5 Final Report.

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EUROMET.T-K3, EURAMET.T-K3.3, EURAMET.T-K3.1 and EURAMET.T-K3.5

NOMINAL TEMPERATURE : Zinc Freezing Point, 692.677 K

Key comparison EUROMET.T-K3

Linking EUROMET.T-K3 to CCT-K3

Linking EURAMET.T-K3.3, EURAMET.T-K3.1 and EURAMET.T-K3.5 to EUROMET.T-K3 and CCT-K3

The LACOMET results obtained in EURAMET.T-K3.3 are linked to the results of EUROMET.T-K3 and CCT-K3 using the participation of CEM in EUROMET.T-K3, whose results are linked to those of CCT-K3, as described above.
The BIM results obtained in EURAMET.T-K3.1 are linked to the results of EUROMET.T-K3 and CCT-K3 using the participation of VSL in EUROMET.T-K3.
The ROTH+CO.AG results obtained in EURAMET.T-K3.5 are linked to the results of EUROMET.T-K3 and CCT-K3 using the participation of VSL in EUROMET.T-K3.
This makes it possible to extend the EUROMET.T-K3 graphs of equivalence with LACOMET, BIM and ROTH+CO.AG results.
LACOMET and BIM degrees of equivalence relative to the CCT-K3 ARV are given on page 17 of the EURAMET.T-K3.3 Final Report and on pages 10 and 11 of the EURAMET.T-K3.1 Final Report, respectively.
The computation of ROTH+CO.AG degrees of equivalence relative to the CCT-K3 ARV is explained in Section 8.1 of the EURAMET.T-K3.5 Final Report.

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CCT-K4, EUROMET.T-K4, EURAMET.T-K3.3, APMP.T-K4 and EURAMET.T-K3.5

Key comparison CCT-K4

MEASURAND : Freezing-point temperature of Aluminium (Al) fixed-point cells
NOMINAL TEMPERATURE : 660.323 °C

Key comparison reference value for the nominal temperature of Al fixed point:
the key comparison reference temperature, T_R, is the weighted average temperature calculated using the sum (u_i² + u_c²) 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: D_i = (T_i - T_R) and U_i, its expanded uncertainty at a 95% level of confidence, both expressed in mK.
U_i = [(2u_c)² + U_{lab i}²]^1/2, where U_{lab i} is the expanded uncertainty of laboratory i at a 95% level of confidence.

The degree of equivalence between two laboratories is given by a pair of terms:
D_ij= D_i - D_j = T_i - T_j and U_ij, its expanded uncertainty at a 95% level of confidence (see equations 1 to 3 of the CCT-K4 Final Report, pages 22 to 23), both expressed in mK.

Linking EUROMET.T-K4 to CCT-K4

The reference value T_EUR of key comparison EUROMET.T-K4 is computed as the simple mean of the EUROMET.T-K4 participants' results, the EIM result being eliminated as an obvious outlier. The expanded uncertainty (k = 2) is calculated from the uncertainties of the laboratories. T_EUR = T_PTB - (1.18 +/- 1.06) mK, (k = 2)
The linkage of EUROMET.T-K4 results to those of CCT-K4 is explained in Section 5.4 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.
T_EUR = T_R + (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 D_i and U_i, its expanded uncertainty (k = 2), expressed in mK.

The pair-wise degrees of equivalence inside key comparison EUROMET.T-K4 are composed of two terms D_ijand U_ij, its expanded uncertainty (k = 2), expressed in mK, computed as explained in Section 7 of the EUROMET.T-K4 Final Report.

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.

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.

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EUROMET.T-K3, EURAMET.T-K3.3 and EURAMET.T-K3.5

NOMINAL TEMPERATURE : Argon Triple Point, 83.8058 K

Key comparison EUROMET.T-K3

MEASURAND : Resistance ratio, W, at fixed-point temperature
PILOT LABORATORY : LNE-INM

The key comparison EUROMET.T-K3 was carried out in five loops as described on Figure 1.1 on page 5 of the Final Report:

The individual laboratory measurements are given in Section 5 of the Final Report.
The temperature differences (T_i - T_P) and associated standard uncertainties u_iP are then deduced independently of the measurement loop. The indexes "i" and "P" refer respectively to laboratory i and to the Pilot Laboratory, and T to the temperature of a given fixed point.

Key comparison EURAMET.T-K3.3

Key comparison EURAMET.T-K3.3 is a bilateral comparison between CEM and LACOMET carried out in 2009

For the Argon Triple Point, the temperature difference and corresponding expanded uncertainty (k = 2) are:
T_LACOMET - T_CEM = 0.4 mK and U(T_LACOMET - T_CEM) = 11 mK

Key comparison EURAMET.T-K3.5

Key comparison EURAMET.T-K3.5 is a bilateral comparison between VSL and ROTH+CO.AG carried out in 2013

For the Argon Triple Point, the temperature difference and corresponding expanded uncertainty (k = 2) are:
T_ROTH+CO.AG - T_VSL = 0.72 mK and U(T_ROTH+CO.AG - T_VSL) = 1.02 mK

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EUROMET.T-K3, EURAMET.T-K3.3, EURAMET.T-K3.1 and EURAMET.T-K3.5

NOMINAL TEMPERATURE : Mercury Triple Point, 234.3156 K

Key comparison EUROMET.T-K3

MEASURAND : Resistance ratio, W, at fixed-point temperature
PILOT LABORATORY : LNE-INM

The key comparison EUROMET.T-K3 was carried out in five loops as described on Figure 1.1 on page 5 of the Final Report:

Key comparison EURAMET.T-K3.3

Key comparison EURAMET.T-K3.3 is a bilateral comparison between CEM and LACOMET carried out in 2009

For the Mercury Triple Point, the temperature difference and corresponding expanded uncertainty (k = 2) are:
T_LACOMET - T_CEM = -0.10 mK and U(T_LACOMET - T_CEM) = 0.64 mK

Key comparison EURAMET.T-K3.1

Key comparison EURAMET.T-K3.1 is a bilateral comparison between BIM and VSL carried out in 2008-2009

For the Mercury Triple Point, the temperature difference and corresponding expanded uncertainty (k = 2) are:
T_BIM - T_VSL = -0.17 mK and U(T_BIM - T_VSL) = 0.49 mK

Key comparison EURAMET.T-K3.5

Key comparison EURAMET.T-K3.5 is a bilateral comparison between VSL and ROTH+CO.AG carried out in 2013

For the Mercury Triple Point, the temperature difference and corresponding expanded uncertainty (k = 2) are:
T_ROTH+CO.AG - T_VSL = 0.38 mK and U(T_ROTH+CO.AG - T_VSL) = 0.96 mK

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EUROMET.T-K3, EURAMET.T-K3.3, EURAMET.T-K3.1 and EURAMET.T-K3.5

NOMINAL TEMPERATURE : Gallium Melting Point, 302.9146 K

Key comparison EUROMET.T-K3

MEASURAND : Resistance ratio, W, at fixed-point temperature
PILOT LABORATORY : LNE-INM

The key comparison EUROMET.T-K3 was carried out in five loops as described on Figure 1.1 on page 5 of the Final Report:

Key comparison EURAMET.T-K3.3

Key comparison EURAMET.T-K3.3 is a bilateral comparison between CEM and LACOMET carried out in 2009

For the Gallium Melting Point, the temperature difference and corresponding expanded uncertainty (k = 2) are:
T_LACOMET - T_CEM = 0.26 mK and U(T_LACOMET - T_CEM) = 0.61 mK

Key comparison EURAMET.T-K3.1

Key comparison EURAMET.T-K3.1 is a bilateral comparison between BIM and VSL carried out in 2008-2009

For the Gallium Melting Point, the temperature difference and corresponding expanded uncertainty (k = 2) are:
T_BIM - T_VSL = 0.01 mK and U(T_BIM - T_VSL) = 0.52 mK

Key comparison EURAMET.T-K3.5

Key comparison EURAMET.T-K3.5 is a bilateral comparison between VSL and ROTH+CO.AG carried out in 2013

For the Gallium Melting Point, the temperature difference and corresponding expanded uncertainty (k = 2) are:
T_ROTH+CO.AG - T_VSL = 0.78 mK and U(T_ROTH+CO.AG - T_VSL) = 0.93 mK

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EUROMET.T-K3, EURAMET.T-K3.3, EURAMET.T-K3.1 and EURAMET.T-K3.5

NOMINAL TEMPERATURE : Indium Freezing Point, 429.7485 K

Key comparison EUROMET.T-K3

MEASURAND : Resistance ratio, W, at fixed-point temperature
PILOT LABORATORY : LNE-INM

The key comparison EUROMET.T-K3 was carried out in five loops as described on Figure 1.1 on page 5 of the Final Report:

Key comparison EURAMET.T-K3.3

Key comparison EURAMET.T-K3.3 is a bilateral comparison between CEM and LACOMET carried out in 2009

For the Indium Freezing Point, the temperature difference and corresponding expanded uncertainty (k = 2) are:
T_LACOMET - T_CEM = 0.4 mK and U(T_LACOMET - T_CEM) = 1.7 mK

Key comparison EURAMET.T-K3.1

Key comparison EURAMET.T-K3.1 is a bilateral comparison between BIM and VSL carried out in 2008-2009

For the Indium Freezing Point, the temperature difference and corresponding expanded uncertainty (k = 2) are:
T_BIM - T_VSL = 0.31 mK and U(T_BIM - T_VSL) = 0.90 mK

Key comparison EURAMET.T-K3.5

Key comparison EURAMET.T-K3.5 is a bilateral comparison between VSL and ROTH+CO.AG carried out in 2013

For the Indium Freezing Point, the temperature difference and corresponding expanded uncertainty (k = 2) are:
T_ROTH+CO.AG - T_VSL = 1.47 mK and U(T_ROTH+CO.AG - T_VSL) = 1.99 mK

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EUROMET.T-K3, EURAMET.T-K3.3, EURAMET.T-K3.1 and EURAMET.T-K3.5

NOMINAL TEMPERATURE : Tin Freezing Point, 505.078 K

Key comparison EUROMET.T-K3

MEASURAND : Resistance ratio, W, at fixed-point temperature
PILOT LABORATORY : LNE-INM

The key comparison EUROMET.T-K3 was carried out in five loops as described on Figure 1.1 on page 5 of the Final Report:

Key comparison EURAMET.T-K3.3

Key comparison EURAMET.T-K3.3 is a bilateral comparison between CEM and LACOMET carried out in 2009

For the Tin Freezing Point, the temperature difference and corresponding expanded uncertainty (k = 2) are:
T_LACOMET - T_CEM = -1.3 mK and U(T_LACOMET - T_CEM) = 1.7 mK

Key comparison EURAMET.T-K3.1

Key comparison EURAMET.T-K3.1 is a bilateral comparison between BIM and VSL carried out in 2008-2009

For the Tin Freezing Point, the temperature difference and corresponding expanded uncertainty (k = 2) are:
T_BIM - T_VSL = -0.17 mK and U(T_BIM - T_VSL) = 1.0 mK

Key comparison EURAMET.T-K3.5

Key comparison EURAMET.T-K3.5 is a bilateral comparison between VSL and ROTH+CO.AG carried out in 2013

For the Tin Freezing Point, the temperature difference and corresponding expanded uncertainty (k = 2) are:
T_ROTH+CO.AG - T_VSL = 0.65 mK and U(T_ROTH+CO.AG - T_VSL) = 1.92 mK

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EUROMET.T-K3, EURAMET.T-K3.3, EURAMET.T-K3.1 and EURAMET.T-K3.5

NOMINAL TEMPERATURE : Zinc Freezing Point, 692.677 K

Key comparison EUROMET.T-K3

MEASURAND : Resistance ratio, W, at fixed-point temperature
PILOT LABORATORY : LNE-INM

The key comparison EUROMET.T-K3 was carried out in five loops as described on Figure 1.1 on page 5 of the Final Report:

Key comparison EURAMET.T-K3.3

Key comparison EURAMET.T-K3.3 is a bilateral comparison between CEM and LACOMET carried out in 2009

For the Zinc Freezing Point, the temperature difference and corresponding expanded uncertainty (k = 2) are:
T_LACOMET - T_CEM = -2.4 mK and U(T_LACOMET - T_CEM) = 2.1 mK

Key comparison EURAMET.T-K3.1

Key comparison EURAMET.T-K3.1 is a bilateral comparison between BIM and VSL carried out in 2008-2009

For the Zinc Freezing Point, the temperature difference and corresponding expanded uncertainty (k = 2) are:
T_BIM - T_VSL = -0.80 mK and U(T_BIM - T_VSL) = 1.6 mK

Key comparison EURAMET.T-K3.5

Key comparison EURAMET.T-K3.5 is a bilateral comparison between VSL and ROTH+CO.AG carried out in 2013

For the Zinc Freezing Point, the temperature difference and corresponding expanded uncertainty (k = 2) are:
T_ROTH+CO.AG - T_VSL = 2.44 mK and U(T_ROTH+CO.AG - T_VSL) = 2.33 mK

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CCT-K4, EUROMET.T-K4, EURAMET.T-K3.3, APMP.T-K4 and EURAMET.T-K3.5

Key comparison CCT-K4

MEASURAND : Freezing-point temperature of Aluminium (Al) fixed-point cells
NOMINAL TEMPERATURE : 660.323 °C

T_i - T_mc : difference of Al fixed-point temperature realized at laboratory i, T_i, relative to the master circulated cell (PTB/NIST Al 94-3) temperature T_mc
Cell : designation of Al cell at laboratory i
u_i: combined standard uncertainty of laboratory i
u_c = 0.5 mK : standard uncertainty representing the stability of the circulated cells

Lab i	Cell	(T_i - T_mc) / mK	u_i / mK	(u_i² + u_c²)^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

Key comparison EUROMET.T-K4

MEASURAND : Freezing-point temperature of Aluminium (Al) fixed-point cells
NOMINAL TEMPERATURE : 660.323 °C

T_i - T_PTB : difference of Al fixed-point temperature realized at laboratory i, T_i, 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
U_Lab _i: expanded uncertainty (k = 2) of T_i - T_PTB

Lab i	(T_i - T_PTB) / mK	U_Lab_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

Key comparison EURAMET.T-K3.3

MEASURAND : Freezing-point temperature of Aluminium (Al) fixed-point cells
NOMINAL TEMPERATURE : 660.323 °C

This is a bilateral comparison carried out between CEM and LACOMET in 2009

T_LACOMET - T_CEM = 0.8 mK and U(T_LACOMET - T_CEM) = 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

Key comparison APMP.T-K4

MEASURAND : Freezing-point temperature of Aluminium (Al) fixed-point cells
NOMINAL TEMPERATURE : 660.323 °C

T_i - T_KRISS : difference of Al fixed-point temperature realized at laboratory i, T_i, 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
U_Lab _i: expanded uncertainty (k = 2) of T_i - T_KRISS

Lab i	(T_i - T_KRISS) / mK	U_Lab_i / mK

KRISS	0.00	5.10
NMIJ	2.20	4.70
SCL	4.18	4.56
*NMC, ASTAR**	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

Key comparison EURAMET.T-K3.5

MEASURAND : Freezing-point temperature of Aluminium (Al) fixed-point cells
NOMINAL TEMPERATURE : 660.323 °C

This is a bilateral comparison carried out between VSL and ROTH+CO.AG in 2013

T_ROTH+CO.AG - T_VSL = 4.69 mK and U(T_ROTH+CO.AG - T_VSL) = 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

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Key and supplementary comparisons - Print out