NIST, Jan 2009 CENAM, Mar 2009 NPLI, May 2009 NIM, Jun 2009 NMIJ, Oct 2009 LNE, Feb 2010 PTB, Mar 2010 p ' / MPa / mm 2 u i / x i
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1 Key comparison CCM.P-K13 MEASURAND : Effective area A '(p ', 20 C) of piston-cylinder unit DH-Budenberg 4603 mounted in a DH-Budenberg pressure balance model 5306 determined from comparisons against participants primary pressure standards NOMINAL VALUE : 2 mm 2 x i : u i : u DC : result of measurement of A '(p ', 20 C) taken as the arithmetic average of 10 values obtained by laboratory i and corrected for drift combined standard uncertainty of x i as reported by laboratory i (without including uncertainty of the drift correction) standard uncertainty of the drift correction of x i NIST, Jan 2009 CENAM, Mar 2009, May 2009, Jun 2009, Oct 2009, Feb 2010, Mar 2010 x i p ' / MPa / mm 2 u i / x i / 10-6 x i / mm 2 u i / x i / 10-6 x i / mm 2 u i / x i / 10-6 x i / mm 2 u i / x i / 10-6 x i / mm 2 u i / x i / 10-6 x i / mm 2 u i / x i / 10-6 x i / mm 2 u i / x i / 10-6 u DC / x i / Key comparison APMP.M.P-K13 The results of the participating laboratories in key comparison APMP.M.P-K13 are given in Section 6 of the Final Report. Measurements were carried out between 2010 and The BIPM key comparison database, November /21
2 Key comparison CCM.P-K13 MEASURAND : Effective area A '(p ', 20 C) of piston-cylinder unit DH-Budenberg 4603 mounted in a DH-Budenberg pressure balance model 5306 determined from comparisons against participants primary pressure standards NOMINAL VALUE : 2 mm 2 The key comparison reference value, x R, is calculated at each pressure p ' as the median of the participants' values obtained at this pressure. The standard uncertainty of the reference value at each pressure, u R, is calculated by the formula u R =[(1.858 x MED x i -x R ) 2 / (n -1)] 1/2, where MED is median and n is number of participants. For each value of the pressure, the degree of equivalence of each laboratory i with respect to the key comparison reference value is given by: D i = (x i - x R ) / x R, the relative deviation from the reference value, and U i = 2 (u i 2 + u DC 2 + u R 2 ) 1/2 / x R, its expanded uncertainty (k = 2). p ' / MPa x R / mm 2 u R / x R / 10-6 Key comparison APMP.M.P-K13 The results of the participants in APMP.M.P-K13 are linked to those of CCM.P- K13 through the results of the two linking laboratories, and, as explained in Section 7 of the Final Report. The BIPM key comparison database, November /21
3 Key comparisons CCM.P-K13 and APMP.M.P-K13 Degrees of equivalence relative to the CCM.P-K13 key comparison reference values 50 MPa 100 MPa 150 MPa 200 MPa D i U i D i U i D i U i D i U i / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 NIST NIST NIST NIST CENAM CENAM CENAM CENAM NMC, A*STAR NMC, A*STAR NMC, A*STAR NMC, A*STAR T T T T NMIA NMIA NMIA NMIA CMS CMS CMS CMS Puslit KIM-LIPI Puslit KIM-LIPI Puslit KIM-LIPI Puslit KIM-LIPI KRISS KRISS KRISS KRISS The BIPM key comparison database, November /21
4 Key comparisons CCM.P-K13 and APMP.M.P-K13 Degrees of equivalence relative to the CCM.P-K13 key comparison reference values (Cont.) 250 MPa 300 MPa 350 MPa 400 MPa D i U i D i U i D i U i D i U i / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 NIST CENAM CENAM CENAM CENAM NMC, A*STAR NMC, A*STAR NMC, A*STAR NMC, A*STAR T T T T NMIA NMIA NMIA NMIA Puslit KIM-LIPI Puslit KIM-LIPI Puslit KIM-LIPI CMS KRISS KRISS KRISS Puslit KIM-LIPI KRISS The BIPM key comparison database, November /21
5 Key comparisons CCM.P-K13 and APMP.M.P-K13 Degrees of equivalence relative to the CCM.P-K13 key comparison reference values (Cont.) 450 MPa 500 MPa D i U i D i U i / 10-6 / 10-6 / 10-6 / 10-6 CENAM CENAM T T NMIA NMIA Puslit KIM-LIPI Puslit KIM-LIPI KRISS KRISS The BIPM key comparison database, November /21
6 NIST CENAM NMC, A*STAR T NMIA CMS Puslit KIM-LIPI KRISS 200 CCM.P-K13 and APMP.M.P-K13 50 MPa Degrees of equivalence D i and U i (k = 2) D i / Red diamonds: participants in CCM.P-K13 Blue triangles: participants in APMP.M.P-K13 The BIPM key comparison database, November /21
7 NIST CENAM NMC, A*STAR T NMIA CMS Puslit KIM-LIPI KRISS 200 CCM.P-K13 and APMP.M.P-K MPa Degrees of equivalence D i and U i (k = 2) D i / Red diamonds: participants in CCM.P-K13 Blue triangles: participants in APMP.M.P-K13 The BIPM key comparison database, November /21
8 NIST CENAM NMC, A*STAR T NMIA CMS Puslit KIM-LIPI KRISS 200 CCM.P-K13 and APMP.M.P-K MPa Degrees of equivalence D i and U i (k = 2) D i / Red diamonds: participants in CCM.P-K13 Blue triangles: participants in APMP.M.P-K13 The BIPM key comparison database, November /21
9 NIST CENAM NMC, A*STAR T NMIA CMS Puslit KIM-LIPI KRISS 200 CCM.P-K13 and APMP.M.P-K MPa Degrees of equivalence D i and U i (k = 2) D i / Red diamonds: participants in CCM.P-K13 Blue triangles: participants in APMP.M.P-K13 The BIPM key comparison database, November /21
10 NIST CENAM NMC, A*STAR T NMIA CMS Puslit KIM-LIPI KRISS 200 CCM.P-K13 and APMP.M.P-K MPa Degrees of equivalence D i and U i (k = 2) D i / Red diamonds: participants in CCM.P-K13 Blue triangles: participants in APMP.M.P-K13 The BIPM key comparison database, November /21
11 CENAM NMC, A*STAR T NMIA Puslit KIM-LIPI KRISS 200 CCM.P-K13 and APMP.M.P-K MPa Degrees of equivalence D i and U i (k = 2) D i / Red diamonds: participants in CCM.P-K13 Blue triangles: participants in APMP.M.P-K13 The BIPM key comparison database, November /21
12 CENAM NMC, A*STAR T NMIA Puslit KIM-LIPI KRISS 200 CCM.P-K13 and APMP.M.P-K MPa Degrees of equivalence D i and U i (k = 2) D i / Red diamonds: participants in CCM.P-K13 Blue triangles: participants in APMP.M.P-K13 The BIPM key comparison database, November /21
13 CENAM NMC, A*STAR T NMIA Puslit KIM-LIPI KRISS 250 CCM.P-K13 and APMP.M.P-K MPa Degrees of equivalence D i and U i (k = 2) D i / Red diamonds: participants in CCM.P-K13 Blue triangles: participants in APMP.M.P-K13 The BIPM key comparison database, November /21
14 CENAM T NMIA Puslit KIM-LIPI KRISS 250 CCM.P-K13 and APMP.M.P-K MPa Degrees of equivalence D i and U i (k = 2) D i / Red diamonds: participants in CCM.P-K13 Blue triangles: participants in APMP.M.P-K13 The BIPM key comparison database, November /21
15 CENAM T NMIA Puslit KIM-LIPI KRISS 250 CCM.P-K13 and APMP.M.P-K MPa Degrees of equivalence D i and U i (k = 2) D i / Red diamonds: participants in CCM.P-K13 Blue triangles: participants in APMP.M.P-K13 The BIPM key comparison database, November /21
16 Key comparison CCM.P-K13 MEASURAND : Effective area A '(p ', 20 C) of piston-cylinder unit DH-Budenberg 4603 mounted in a DH-Budenberg pressure balance model 5306 determined from comparisons against participants primary pressure standards NOMINAL VALUE : 2 mm 2 The degree of equivalence between two laboratories is given by a pair of numbers: D ij = D i - D j = (x i - x j ) / x R, the relative difference between their results, and U ij = 2 (u i 2 + u j 2 + u DC 2 ) 1/2 / x R, its expanded uncertainty (k = 2). Calculation of the pair-wise degrees of equivalence is made for the following pressures: (50, 100, 150, 200, 250, 300, 350, 400, 450 and 500) MPa Lab j p' = 50 MPa D ij NIST CENAM / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 U ij D ij U ij D ij U ij D ij U ij D ij U ij D ij U ij D ij U ij NIST CENAM The BIPM key comparison database, November /21
17 Key comparison CCM.P-K13 Pair-wise degrees of equivalence (Cont.) Lab j p' = 100 MPa D ij NIST CENAM / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 U ij D ij U ij D ij U ij D ij U ij D ij U ij D ij U ij D ij U ij NIST CENAM Lab j NIST CENAM p' = 150 MPa D ij U ij D ij U ij D ij U ij D ij U ij D ij U ij D ij U ij D ij U ij / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 NIST CENAM The BIPM key comparison database, November /21
18 Key comparison CCM.P-K13 Pair-wise degrees of equivalence (Cont.) Lab j p' = 200 MPa D ij NIST CENAM / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 U ij D ij U ij D ij U ij D ij U ij D ij U ij D ij U ij D ij U ij NIST CENAM Lab j NIST CENAM p' = 250 MPa D ij U ij D ij U ij D ij U ij D ij U ij D ij U ij D ij U ij D ij U ij / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 NIST CENAM The BIPM key comparison database, November /21
19 Key comparison CCM.P-K13 Pair-wise degrees of equivalence (Cont.) Lab j p' = 300 MPa D ij NIST CENAM / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 U ij D ij U ij D ij U ij D ij U ij D ij U ij D ij U ij D ij U ij NIST CENAM Lab j NIST CENAM p' = 350 MPa D ij U ij D ij U ij D ij U ij D ij U ij D ij U ij D ij U ij D ij U ij / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 NIST CENAM The BIPM key comparison database, November /21
20 Key comparison CCM.P-K13 Pair-wise degrees of equivalence (Cont.) Lab j p' = 400 MPa D ij NIST CENAM / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 U ij D ij U ij D ij U ij D ij U ij D ij U ij D ij U ij D ij U ij NIST CENAM Lab j NIST CENAM p' = 450 MPa D ij U ij D ij U ij D ij U ij D ij U ij D ij U ij D ij U ij D ij U ij / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 NIST CENAM The BIPM key comparison database, November /21
21 Key comparison CCM.P-K13 Pair-wise degrees of equivalence (Cont.) Lab j p' = 500 MPa D ij NIST CENAM / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 / 10-6 U ij D ij U ij D ij U ij D ij U ij D ij U ij D ij U ij D ij U ij NIST CENAM The BIPM key comparison database, November /21
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