CCL-K3.n01
MEASURAND Pitch angle deviation
ARTEFACT 10-sided polygon, serial number 31391.15
Degrees of equivalence represented by Di = (xi - xR) and its expanded uncertainty Ui at a 95 % level of confidence, both expressed in ″ (arcsecond).
Angle 1:2
Angle 2:3
Angle 3:4
Angle 4:5
Angle 5:6
Angle 6:7
Angle 7:8
Angle 8:9
Angle 9:10
Angle 10:1
CCL-K3.n01
MEASURAND Pitch angle deviation
ARTEFACT 12-sided polygon, serial number 327
Degrees of equivalence represented by Di = (xi - xR) and its expanded uncertainty Ui at a 95 % level of confidence, both expressed in ″ (arcsecond).
Angle 1:2
Angle 2:3
Angle 3:4
Angle 4:5
Angle 5:6
Angle 6:7
Angle 7:8
Angle 8:9
Angle 9:10
Angle 10:11
Angle 11:12
Angle 12:1
CCL-K3.n01
MEASURAND Pitch angle deviation
ARTEFACT 10-sided polygon, serial number 31391.15
Degrees of equivalence represented by Di = (xi - xR) and its expanded uncertainty Ui at a 95 % level of confidence, both expressed in ″ (arcsecond).
Angle 1:2
| LABi | Di | Uneg,i | Upos,i | |
|---|---|---|---|---|
″ |
″ |
″ |
||
| NRC | 0.001 | 0.049 | ||
| INRIM | -0.001 | 0.065 | ||
| NIM | -0.007 | 0.056 | ||
| NMIJ | -0.007 | 0.054 | ||
| CENAM | 0.001 | 0.096 | ||
| UME | 0.001 | 0.117 | ||
| CEM | -0.009 | 0.158 | ||
| KRISS | -0.015 | 0.103 | ||
| NMC, A*STAR | 0.281 | 0.399 | ||
| INMETRO | 0.121 | 0.198 |
Angle 2:3
| LABi | Di | Uneg,i | Upos,i | |
|---|---|---|---|---|
″ |
″ |
″ |
||
| NRC | 0.001 | 0.049 | ||
| INRIM | -0.001 | 0.065 | ||
| NIM | -0.007 | 0.056 | ||
| NMIJ | -0.007 | 0.054 | ||
| CENAM | 0.001 | 0.096 | ||
| UME | 0.001 | 0.117 | ||
| CEM | -0.009 | 0.158 | ||
| KRISS | -0.015 | 0.103 | ||
| NMC, A*STAR | 0.281 | 0.399 | ||
| INMETRO | 0.121 | 0.198 |
Angle 3:4
| LABi | Di | Uneg,i | Upos,i | |
|---|---|---|---|---|
″ |
″ |
″ |
||
| NRC | 0.012 | 0.050 | ||
| INRIM | -0.005 | 0.065 | ||
| NIM | -0.010 | 0.057 | ||
| NMIJ | 0.001 | 0.039 | ||
| CENAM | -0.008 | 0.097 | ||
| UME | 0.011 | 0.117 | ||
| CEM | -0.008 | 0.158 | ||
| KRISS | 0.015 | 0.103 | ||
| NMC, A*STAR | -0.068 | 0.399 | ||
| INMETRO | -0.058 | 0.198 |
Angle 4:5
| LABi | Di | Uneg,i | Upos,i | |
|---|---|---|---|---|
″ |
″ |
″ |
||
| NRC | -0.006 | 0.049 | ||
| INRIM | -0.023 | 0.065 | ||
| NIM | 0.003 | 0.056 | ||
| NMIJ | 0.008 | 0.056 | ||
| CENAM | 0.004 | 0.096 | ||
| UME | -0.014 | 0.117 | ||
| CEM | -0.016 | 0.158 | ||
| KRISS | 0.004 | 0.103 | ||
| NMC, A*STAR | 0.474 | 0.399 | ||
| INMETRO | 0.054 | 0.198 |
Angle 5:6
| LABi | Di | Uneg,i | Upos,i | |
|---|---|---|---|---|
″ |
″ |
″ |
||
| NRC | -0.005 | 0.049 | ||
| INRIM | 0.017 | 0.064 | ||
| NIM | 0.003 | 0.055 | ||
| NMIJ | 0.004 | 0.071 | ||
| CENAM | 0.016 | 0.096 | ||
| UME | 0.002 | 0.117 | ||
| CEM | 0.006 | 0.158 | ||
| KRISS | -0.016 | 0.102 | ||
| NMC, A*STAR | -0.574 | 0.399 | ||
| INMETRO | 0.006 | 0.198 |
Angle 6:7
| LABi | Di | Uneg,i | Upos,i | |
|---|---|---|---|---|
″ |
″ |
″ |
||
| NRC | 0.014 | 0.049 | ||
| INRIM | -0.006 | 0.064 | ||
| NIM | 0.003 | 0.056 | ||
| NMIJ | -0.004 | 0.060 | ||
| CENAM | -0.018 | 0.096 | ||
| UME | -0.010 | 0.117 | ||
| CEM | -0.008 | 0.158 | ||
| KRISS | -0.003 | 0.104 | ||
| NMC, A*STAR | 0.282 | 0.399 | ||
| INMETRO | -0.048 | 0.198 |
Angle 7:8
| LABi | Di | Uneg,i | Upos,i | |
|---|---|---|---|---|
″ |
″ |
″ |
||
| NRC | -0.016 | 0.050 | ||
| INRIM | 0.015 | 0.065 | ||
| NIM | -0.002 | 0.056 | ||
| NMIJ | 0.005 | 0.043 | ||
| CENAM | -0.016 | 0.097 | ||
| UME | 0.039 | 0.117 | ||
| CEM | -0.006 | 0.158 | ||
| KRISS | 0.006 | 0.103 | ||
| NMC, A*STAR | -0.136 | 0.399 | ||
| INMETRO | 0.024 | 0.198 |
Angle 8:9
| LABi | Di | Uneg,i | Upos,i | |
|---|---|---|---|---|
″ |
″ |
″ |
||
| NRC | 0.007 | 0.051 | ||
| INRIM | -0.005 | 0.066 | ||
| NIM | -0.006 | 0.057 | ||
| NMIJ | -0.005 | 0.032 | ||
| CENAM | 0.018 | 0.097 | ||
| UME | -0.017 | 0.118 | ||
| CEM | 0.028 | 0.158 | ||
| KRISS | 0.011 | 0.105 | ||
| NMC, A*STAR | 0.148 | 0.399 | ||
| INMETRO | 0.018 | 0.199 |
Angle 9:10
| LABi | Di | Uneg,i | Upos,i | |
|---|---|---|---|---|
″ |
″ |
″ |
||
| NRC | 0.008 | 0.050 | ||
| INRIM | 0.001 | 0.065 | ||
| NIM | 0.009 | 0.057 | ||
| NMIJ | -0.006 | 0.041 | ||
| CENAM | 0.010 | 0.097 | ||
| UME | 0.006 | 0.117 | ||
| CEM | 0.000 | 0.158 | ||
| KRISS | -0.010 | 0.103 | ||
| NMC, A*STAR | -0.080 | 0.399 | ||
| INMETRO | -0.110 | 0.198 |
Angle 10:1
| LABi | Di | Uneg,i | Upos,i | |
|---|---|---|---|---|
″ |
″ |
″ |
||
| NRC | 0.001 | 0.050 | ||
| INRIM | -0.004 | 0.065 | ||
| NIM | 0.000 | 0.056 | ||
| NMIJ | -0.002 | 0.045 | ||
| CENAM | 0.003 | 0.097 | ||
| UME | -0.013 | 0.117 | ||
| CEM | 0.003 | 0.158 | ||
| KRISS | 0.013 | 0.103 | ||
| NMC, A*STAR | -0.337 | 0.399 | ||
| INMETRO | 0.083 | 0.198 |
CCL-K3.n01
MEASURAND Pitch angle deviation
ARTEFACT 12-sided polygon, serial number 327
Degrees of equivalence represented by Di = (xi - xR) and its expanded uncertainty Ui at a 95 % level of confidence, both expressed in ″ (arcsecond).
Angle 1:2
| LABi | Di | Uneg,i | Upos,i | |
|---|---|---|---|---|
″ |
″ |
″ |
||
| NRC | -0.003 | 0.159 | ||
| INRIM | -0.012 | 0.164 | ||
| NIM | 0.078 | 0.165 | ||
| NMIJ | -0.134 | 0.151 | ||
| CENAM | -0.096 | 0.165 | ||
| UME | 0.058 | 0.188 | ||
| CEM | 0.094 | 0.231 | ||
| KRISS | 0.053 | 0.179 | ||
| NMC, A*STAR | 0.014 | 0.520 | ||
| INMETRO | 0.094 | 0.247 |
Angle 2:3
| LABi | Di | Uneg,i | Upos,i | |
|---|---|---|---|---|
″ |
″ |
″ |
||
| NRC | 0.034 | 0.159 | ||
| INRIM | 0.020 | 0.164 | ||
| NIM | -0.018 | 0.165 | ||
| NMIJ | -0.094 | 0.153 | ||
| CENAM | -0.071 | 0.165 | ||
| UME | 0.033 | 0.188 | ||
| CEM | 0.019 | 0.231 | ||
| KRISS | 0.017 | 0.180 | ||
| NMC, A*STAR | 0.349 | 0.520 | ||
| INMETRO | 0.099 | 0.247 |
Angle 3:4
| LABi | Di | Uneg,i | Upos,i | |
|---|---|---|---|---|
″ |
″ |
″ |
||
| NRC | 0.018 | 0.159 | ||
| INRIM | 0.024 | 0.164 | ||
| NIM | -0.098 | 0.165 | ||
| NMIJ | 0.038 | 0.157 | ||
| CENAM | 0.032 | 0.165 | ||
| UME | -0.017 | 0.188 | ||
| CEM | -0.038 | 0.231 | ||
| KRISS | -0.025 | 0.179 | ||
| NMC, A*STAR | 0.202 | 0.520 | ||
| INMETRO | 0.032 | 0.247 |
Angle 4:5
| LABi | Di | Uneg,i | Upos,i | |
|---|---|---|---|---|
″ |
″ |
″ |
||
| NRC | 0.033 | 0.158 | ||
| INRIM | 0.031 | 0.164 | ||
| NIM | -0.049 | 0.165 | ||
| NMIJ | 0.042 | 0.160 | ||
| CENAM | 0.037 | 0.165 | ||
| UME | -0.027 | 0.187 | ||
| CEM | -0.073 | 0.231 | ||
| KRISS | -0.045 | 0.185 | ||
| NMC, A*STAR | 0.117 | 0.520 | ||
| INMETRO | -0.033 | 0.246 |
Angle 5:6
| LABi | Di | Uneg,i | Upos,i | |
|---|---|---|---|---|
″ |
″ |
″ |
||
| NRC | 0.030 | 0.158 | ||
| INRIM | -0.005 | 0.164 | ||
| NIM | 0.031 | 0.165 | ||
| NMIJ | 0.078 | 0.161 | ||
| CENAM | 0.029 | 0.165 | ||
| UME | -0.038 | 0.188 | ||
| CEM | -0.061 | 0.231 | ||
| KRISS | -0.036 | 0.179 | ||
| NMC, A*STAR | -0.141 | 0.520 | ||
| INMETRO | -0.121 | 0.247 |
Angle 6:7
| LABi | Di | Uneg,i | Upos,i | |
|---|---|---|---|---|
″ |
″ |
″ |
||
| NRC | -0.043 | 0.158 | ||
| INRIM | -0.037 | 0.164 | ||
| NIM | 0.052 | 0.165 | ||
| NMIJ | 0.044 | 0.160 | ||
| CENAM | 0.033 | 0.165 | ||
| UME | -0.009 | 0.187 | ||
| CEM | -0.017 | 0.246 | ||
| KRISS | 0.014 | 0.179 | ||
| NMC, A*STAR | -0.177 | 0.520 | ||
| INMETRO | -0.047 | 0.246 |
Angle 7:8
| LABi | Di | Uneg,i | Upos,i | |
|---|---|---|---|---|
″ |
″ |
″ |
||
| NRC | -0.048 | 0.158 | ||
| INRIM | -0.059 | 0.164 | ||
| NIM | 0.040 | 0.165 | ||
| NMIJ | -0.041 | 0.155 | ||
| CENAM | -0.028 | 0.165 | ||
| UME | 0.045 | 0.188 | ||
| CEM | 0.052 | 0.247 | ||
| KRISS | 0.091 | 0.179 | ||
| NMC, A*STAR | -0.158 | 0.520 | ||
| INMETRO | 0.042 | 0.247 |
Angle 8:9
| LABi | Di | Uneg,i | Upos,i | |
|---|---|---|---|---|
″ |
″ |
″ |
||
| NRC | -0.030 | 0.158 | ||
| INRIM | 0.010 | 0.164 | ||
| NIM | 0.001 | 0.165 | ||
| NMIJ | -0.050 | 0.157 | ||
| CENAM | -0.077 | 0.165 | ||
| UME | 0.065 | 0.187 | ||
| CEM | 0.043 | 0.280 | ||
| KRISS | 0.055 | 0.178 | ||
| NMC, A*STAR | 0.043 | 0.520 | ||
| INMETRO | 0.063 | 0.246 |
Angle 9:10
| LABi | Di | Uneg,i | Upos,i | |
|---|---|---|---|---|
″ |
″ |
″ |
||
| NRC | 0.088 | 0.158 | ||
| INRIM | 0.105 | 0.164 | ||
| NIM | -0.072 | 0.165 | ||
| NMIJ | -0.101 | 0.158 | ||
| CENAM | -0.093 | 0.165 | ||
| UME | 0.033 | 0.187 | ||
| CEM | 0.037 | 0.246 | ||
| KRISS | 0.017 | 0.179 | ||
| NMC, A*STAR | -0.083 | 0.52 | ||
| INMETRO | 0.047 | 0.246 |
Angle 10:11
| LABi | Di | Uneg,i | Upos,i | |
|---|---|---|---|---|
″ |
″ |
″ |
||
| NRC | 0.042 | 0.158 | ||
| INRIM | 0.050 | 0.164 | ||
| NIM | -0.036 | 0.165 | ||
| NMIJ | 0.058 | 0.153 | ||
| CENAM | 0.058 | 0.165 | ||
| UME | -0.092 | 0.187 | ||
| CEM | -0.112 | 0.246 | ||
| KRISS | -0.129 | 0.186 | ||
| NMC, A*STAR | 0.548 | 0.520 | ||
| INMETRO | -0.032 | 0.246 |
Angle 11-12
| LABi | Di | Uneg,i | Upos,i | |
|---|---|---|---|---|
″ |
″ |
″ |
||
| NRC | -0.047 | 0.159 | ||
| INRIM | -0.042 | 0.164 | ||
| NIM | 0.004 | 0.165 | ||
| NMIJ | 0.134 | 0.152 | ||
| CENAM | 0.134 | 0.165 | ||
| UME | -0.082 | 0.188 | ||
| CEM | -0.046 | 0.231 | ||
| KRISS | -0.072 | 0.180 | ||
| NMC, A*STAR | -0.216 | 0.520 | ||
| INMETRO | -0.056 | 0.247 |
Angle 12:1
| LABi | Di | Uneg,i | Upos,i | |
|---|---|---|---|---|
″ |
″ |
″ |
||
| NRC | -0.075 | 0.159 | ||
| INRIM | -0.084 | 0.164 | ||
| NIM | 0.069 | 0.165 | ||
| NMIJ | 0.029 | 0.152 | ||
| CENAM | 0.033 | 0.165 | ||
| UME | 0.032 | 0.188 | ||
| CEM | 0.103 | 0.247 | ||
| KRISS | 0.059 | 0.183 | ||
| NMC, A*STAR | -0.497 | 0.520 | ||
| INMETRO | -0.077 | 0.247 |
| Metrology area, Sub-field | Length, Dimensional Metrology |
| Description | Angle standards : optical polygon |
| Time of measurements | 2023 - 2025 |
| Status | Approved for equivalence |
| Final Reports of the comparisons | |
| References | |
| Measurand | Angle Angle deviation |
| Transfer device | 12 sided polygon |
| Comparison type | Key Comparison |
| Consultative Committee | CCL (Consultative Committee for Length ) |
| Conducted by | CCL (Consultative Committee for Length ) |
| Comments | Results published 05 November 2026 |
| Pilot institute |
NRC
National Research Council Canada |
| Contact person | Brian EVES |
| Pilot laboratory | |
|---|---|
| NRC |
National Research Council, Canada, SIM |
| CEM |
Centro Español de Metrologia, Spain, EURAMET |
| CENAM |
Centro Nacional de Metrologia, Mexico, SIM |
| INMETRO |
Instituto Nacional de Metrologia, Qualidade e Tecnologia, Brazil, SIM |
| INRIM |
Istituto Nazionale di Ricerca Metrologica, Italy, EURAMET |
| KRISS |
Korea Research Institute of Standards and Science, Korea, Republic of, APMP |
| NIM |
National Institute of Metrology, China, APMP |
| NMC, A*STAR |
National Metrology Centre, Agency for Science, Technology and Research, Singapore, APMP |
| NMIJ AIST |
National Metrology Institute of Japan, Japan, APMP |
| UME |
TÜBITAK Ulusal Metroloji Enstitüsü, Türkiye, EURAMET |
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CCL-K3.n01
MEASURAND Pitch angle deviation
ARTEFACT 10-sided polygon, serial number 31391.15
The key comparison reference values xR,j and their associated standard uncertainties uR,j are computed from the weighted mean of the reported results with no exclusions as described in Section 7.1 of the CCL-K3.n01 Final report.
| Angle i | xR,j | uR,j | |
| ″ | ″ | ||
| 1:2 | -0.361 | 0.013 | |
| 2:3 | -0.061 | 0.013 | |
| 3:4 | 0.098 | 0.013 | |
| 4:5 | -0.564 | 0.013 | |
| 5:6 | 0.694 | 0.014 | |
| 6:7 | -0.312 | 0.014 | |
| 7:8 | 0.146 | 0.013 | |
| 8:9 | -0.158 | 0.012 | |
| 9:10 | 0.070 | 0.013 | |
| 10:1 | 0.447 | 0.013 |
The degree of equivalence of laboratory i relative to the key comparison reference value at each angle j, xR,j is given by a pair of terms, both expressed in ″ (arcsecond):
Di,j = (xi,j - xR,j) and its expanded uncertainty Ui,j at a 95 % level of confidence where Ui,j = 2 (ui,j2 - uR,j2)1/2 .
CCL-K3.n01
MEASURAND Pitch angle deviation
ARTEFACT 12-sided polygon, serial number 327
The key comparison reference values xR,j and their associated standard uncertainties uR,j are computed from the weighted mean of the reported results, with their uncertainties increased by the artefact uncertainty in order to account for artefact instablility as described in Section 7.1 of the CCL-K3.n01 Final report.
| Angle j | xR,j | uR,j | |
| ″ | ″ | ||
| 1:2 | -0.294 | 0.031 | |
| 2:3 | -0.689 | 0.031 | |
| 3:4 | -0.482 | 0.031 | |
| 4:5 | -0.307 | 0.031 | |
| 5:6 | 0.341 | 0.031 | |
| 6:7 | 0.547 | 0.031 | |
| 7:8 | 0.248 | 0.031 | |
| 8:9 | 0.027 | 0.032 | |
| 9:10 | 0.073 | 0.031 | |
| 10:11 | -0.608 | 0.031 | |
| 11:12 | 0.216 | 0.031 | |
| 12:1 | 0.927 | 0.031 |
The degree of equivalence of laboratory i relative to the key comparison reference value at each angle j, xR,j is given by a pair of terms, both expressed in ″ (arcsecond):
Di,j = (xi,j - xR,j) and its expanded uncertainty Ui,j at a 95 % level of confidence where Ui,j = 2 (ui,j2 - uR,j2)1/2 .
CCL-K3.n01
MEASURAND Pitch angle deviation
ARTEFACT 10-sided polygon, serial number 31391.15
The measurement results are listed in Table 3 and Table 4 of the CCL-K3.n01 Final report.
CCL-K3.n01
MEASURAND Pitch angle deviation
ARTEFACT 12-sided polygon, serial number 327
The measurement results are listed in Table 5 and Table 6 of the CCL-K3.n01 Final report.