MEASURAND : Central length of steel gauge blocks measured by interferometry according to ISO 3650

NOMINAL VALUES : 9 gauge blocks with nominal length Lk (k = 1 to 9) from 0.5 mm to 100 mm

Degrees of equivalence, Dik and expanded uncertainty Uik (k = 2), of each laboratory i with respect to the reference value for each gauge block k.

Click on the graph of your interest for a closer look.

L1 = 0.5 mm

 

L2 = 1.01 mm

L3 = 6 mm

L4 = 7 mm

L5 = 8 mm

L6 = 15 mm

  L7 = 80 mm

L8 = 90 mm

   L9 = 100 mm

 

MEASURAND : Central length of tunsgten carbide gauge blocks measured by interferometry according to ISO 3650

NOMINAL VALUES : 9 gauge blocks with nominal length Lk (k = 1 to 9) from 0.5 mm to 100 mm

Degrees of equivalence, Dik and expanded uncertainty Uik (k = 2), of each laboratory i with respect to the reference value for each gauge block k.

Click on the graph of your interest for a closer look.

L1 = 0.5 mm

 L2 = 1 mm

 L3 = 1.01 mm

 L4 = 1.1 mm

 L5 = 6 mm

 L6 = 7 mm

 L7 = 8 mm

 L8 = 80 mm

 L9 = 100 mm

 

MEASURAND : Central length of steel gauge blocks measured by interferometry according to ISO 3650.

NOMINAL VALUES : 9 gauge blocks from 0.5 mm to 100 mm

Degrees of equivalence, Dik and expanded uncertainty Uik, for each nominal length Lk (k = 1 to 9).

MEASURAND : Central length of tungsten carbide gauge blocks measured by interferometry according to ISO 3650

NOMINAL VALUES : 9 gauge blocks from 0.5 mm to 100 mm

Degree of Equivalence, Dik and expanded uncertainty Uik, for each nominal length Lk (k = 1 to 9).

Comparison
Comparison close
CC comparison
Linked comparison
Metrology area, Sub-field Length, Dimensional Metrology
Description Gauge blocks by interferometry
Time of measurements 1998 - 1999
Status Approved for equivalence
References

CCL-K1 Technical Protocol

Measurand Central length: 0.5 mm to 100 mm
Transfer device Steel and tungsten carbide gauge blocks
Comparison type Key Comparison
Consultative Committee CCL (Consultative Committee for Length )
Conducted by CCL (Consultative Committee for Length )
Comments

The central length of gauge blocks is measured by interferometry according to ISO 3650.

Results published on 31 August 2001

Gauge blocks by interferometry

Pilot institute METAS
Federal Institute of Metrology
Switzerland
Contact person R. Thalmann

+41 58 387 03 85
First Name Last Name
wwww@ww.www +356719836 Institute 1 Institute 1 Khmelnitskiy
Pilot laboratory
METAS

Federal Institute of Metrology, Switzerland, EURAMET

CENAM

Centro Nacional de Metrologia, Mexico, SIM

KRISS

Korea Research Institute of Standards and Science, Korea, Republic of, APMP

NIM

National Institute of Metrology, China, APMP

NIST

National Institute of Standards and Technology, United States, SIM

NMIJ AIST

National Metrology Institute of Japan, Japan, APMP

NPL

National Physical Laboratory, United Kingdom, EURAMET

NRC

National Research Council, Canada, SIM

VNIIM

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

MEASURAND : Central length of steel gauge blocks measured by interferometry according to ISO 3650

NOMINAL VALUES : 9 gauge blocks from 0.5 mm to 100 mm

The key comparison reference value xRk for each gauge block k is obtained from the arithmetic mean xak of the participants values xik by adding a constant Ck chosen such that the reference value is the nominal length Lk = xak + Ck.
The standard uncertainties uRk of the key comparison reference values are obtained from the reported standard uncertainties uik, see equations below.

The degree of equivalence of each laboratory with respect to the reference value of each gauge block k is given by a pair of terms: the difference Dik and its expanded uncertainty Uik (coverage factor: 2), see equations below.

  nominal length Lk (k = 1 to 5)          
  0.5 mm 1.01 mm 6 mm 7 mm 8 mm
  xa1 uR1 xa2 uR2 xa3 uR3 xa4 uR4 xa5 uR5
  / nm / nm / nm / nm / nm / nm / nm / nm / nm / nm
Mean values 21.4 3.5 28.7 3.5 46.6 3.6 29.6 3.5 -0.2 3.5

  nominal length Lk (k = 6 to 9)      
  15 mm 80 mm 90 mm 100 mm
  xa6 uR6 xa7 uR7 xa8 uR8 xa9 uR9
  / nm / nm / nm / nm / nm / nm / nm / nm
Mean values 21.1 3.7 28.5 5.8 -18.6 6.3 -112.9 6.8
The calculation of the degree of equivalence between two laboratories i and j is not recommended for comparisons involving several material standards, since it cannot be expressed with a single pair of terms. It would have to be calculated separately for each gauge block k and would then be given by a pair of terms:
the difference Dijk and its expanded uncertainty Uijk (coverage factor: 2), see equations below.

The following table gives the equations that define the parameters given above:

MEASURAND : Central length of tungsten carbide gauge blocks measured by interferometry according to ISO 3650

NOMINAL VALUES : 9 gauge blocks from 0.5 mm to 100 mm

The key comparison reference value xRk for each gauge block k is obtained from the arithmetic mean xak of the participants values xik by adding a constant Ck chosen such that the reference value is the nominal length Lk = xak + Ck.
The standard uncertainties uRk of the key comparison reference values are obtained from the reported standard uncertainties uik, see equations below.

The degree of equivalence of each laboratory with respect to the reference value of each gauge block k is given by a pair of terms: the difference Dik and its expanded uncertainty Uik (coverage factor: 2), see equations below. 

  nominal length Lk (k = 1 to 5)          
  0.5 mm 1 mm 1.01 mm 1.1 mm 6 mm
  xa1 uR1 xa2 uR2 xa3 uR3 xa4 uR4 xa5 uR5
  / nm / nm / nm / nm / nm / nm / nm / nm / nm / nm
Mean values 24.2 3.4 16.4 3.4 27.6 3.4 -51.4 3.4 -46.6 3.4

  nominal length Lk (k = 6 to 9)      
  7 mm 8 mm 80 mm 100 mm
  xa6 uR6 xa7 uR7 xa8 uR8 xa9 uR9
  / nm / nm / nm / nm / nm / nm / nm / nm
Mean values 30.2 3.4 48.7 3.5 104.4 4.6 -78.8 5.1
The calculation of the degree of equivalence between two laboratories i and j is not recommended for comparisons involving several material standards, since it cannot be expressed with a single pair of terms. It would have to be calculated separately for each gauge block k and would then be given by a pair of terms:
the difference Dijk and its expanded uncertainty Uijk (coverage factor: 2), see equations below.

The following table gives the equations that define the parameters given above:

   
   
   

MEASURAND : Central length of steel gauge blocks measured by interferometry according to ISO 3650

NOMINAL VALUES : 9 gauge blocks from 0.5 mm to 100 mm

xik : result of measurement carried out by laboratory i for gauge block with nominal length Lk expressed as the deviation from nominal length in nm
uik : combined standard uncertainty of xik reported by laboratory i

MEASURAND : Central length of tungsten carbide gauge blocks measured by interferometry according to ISO 3650

NOMINAL VALUES : 9 gauge blocks from 0.5 mm to 100 mm

xik : result of measurement carried out by laboratory i for gauge block with nominal length Lk expressed as the deviation from nominal length in nm
uik : combined standard uncertainty of xik reported by laboratory i