BIPM.RI(II)-K1.Am-241, CCRI(II)-K2.Am-241, and COOMET.RI(II)-K2.Am.241
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1 MEASURAND : Key comparison BIPM.RI(II)-K1.Am-241 x i : u i : Equivalent activity of 241 Am result of measurement carried out in the SIR for the sample submitted by laboratory i combined standard uncertainty of x i Lab i x i u i Date of / MBq / MBq measurement ANSTO NPL VNIIM Key comparison CCRI(II)-K2.Am-241 x i : u i : result of measurement carried out at laboratory i linked to the SIR through the NPL mother solution combined standard uncertainty of x i Lab i x i u i Year of / MBq / MBq measurement BARC BEV BIPM CIEMAT CMI-IIR CNEA IFIN-HH ININ IRMM KRISS LNE-LNHB LNMRI MKEH NIST NMIJ NMISA PTB RC SMU The BIPM key comparison database, November /8
2 Key comparison COOMET.RI(II)-K2.Am-241 x i : u i : result of measurement carried out at laboratory i converted to the equivalent activity through the VNIIM combined standard uncertainty of x i Lab i x i u i Year of / MBq / MBq measurement BelGIM CENTIS-DMR The BIPM key comparison database, November /8
3 MEASURAND : Equivalent activity of 241 Am Key comparison BIPM.RI(II)-K1.Am-241 Key comparison reference value: the SIR reference value x R for this radionuclide is MBq, with a standard uncertainty, u R = 2.8 MBq (see section 4.1 of the Final Report dated November 2007). The degree of equivalence of each laboratory with respect to the reference value is given by a pair of terms: D i = (x i - x R ) and U i, its expanded uncertainty (k = 2), both expressed in MBq. With n the number of laboratories, U i = 2((1-2/n )u 2 i + (1/n 2 )Σu 2 i ) 1/2 when each laboratory has contributed to the calculation of x R The degree of equivalence between two laboratories is given by a pair of terms: D ij = D i - D j = (x i - x j ) and U ij, its expanded uncertainty (k = 2), both expressed in MBq. The approximation U ij ~ 2(u 2 i + u 2 j ) 1/2 is used in the Matrix of equivalence. Linking CCRI(II)-K2.Am-241(2003) to BIPM.RI(II)-K1.Am-241 The value x i is the equivalent activity for laboratory i participant in CCRI(II)-K2.Am-241 having been normalized using the SIR measurement of the NPL undiluted solution of the CCRI(II)-K2.Am-241 comparison. The degree of equivalence of laboratory i participant in CCRI(II)-K2.Am-241 with respect to the key comparison reference value is given by a pair of terms: D i = (x i - x R ) and U i, its expanded uncertainty (k = 2), both expressed in MBq. The approximation U i = 2(u 2 i + u 2 R ) 1/2 is used in the Matrix of equivalence as none of these laboratories contributed to the key comparison reference value. The degree of equivalence between two laboratories i and j, one participant in BIPM.RI(II)-K1.Am-241 and one in CCRI(II)-K2.Am-241, or both participants in CCRI(II)-K2.Am-241, is given by a pair of terms expressed in MBq: D ij = D i - D j and U ij, its expanded uncertainty (k = 2), approximated by U ij = 2(u 2 2 i + u j - 2fu 2 l ) 1/2 with l referring to the link when each laboratory is from the CCRI or is the linking laboratory and f is the correlation coefficient. The BIPM key comparison database, November /8
4 Linking COOMET.RI(II)-K2.Am-241 to BIPM.RI(II)-K1.Am-241 The value x i is the equivalent activity for laboratory i participant in COOMET.RI(II)-K2.Am-241 having been normalized using the SIR measurement of the VNIIM solution of the COOMET.RI(II)-K2 comparison. The degree of equivalence of laboratory i participant in COOMET.RI(II)-K2.Am-241 with respect to the key comparison reference value is given by a pair of terms: D i = (x i - x R ) and U i, its expanded uncertainty (k = 2), both expressed in MBq. The approximation U i = 2(u 2 i + u 2 R ) 1/2 is used in the Matrix of equivalence as none of these laboratories contributed to the key comparison reference value. The degree of equivalence between two laboratories i and j, one participant in BIPM.RI(II)-K1.Am-241 or in CCRI(II)-K2.Am-241, and one in COOMET.RI(II)-K2.Am-241, is given by a pair of terms expressed in MBq: D ij = D i - D j and U ij, its expanded uncertainty (k = 2), approximated by U ij = 2(u 2 2 i + u j - 2fu 2 l ) 1/2 with l referring to the link when the other laboratory is from the COOMET or is the linking laboratory and f is the correlation coefficient. These statements make it possible to extend the BIPM.RI(II)-K1.Am-241 Matrix of equivalence to all participants in the CCRI(II)-K2.Am-241 and the COOMET.RI(II)-K2.Am-241 comparisons. The BIPM key comparison database, November /8
5 Matrix of Equivalence Lab j Lab i ANSTO NPL VNIIM BARC BEV BIPM CIEMAT CMI-IIR CNEA D i U i 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 D ij U ij D ij U ij / MBq / MBq / MBq / MBq / MBq / MBq / MBq / MBq / MBq / MBq ANSTO NPL VNIIM BARC BEV BIPM CIEMAT CMI-IIR CNEA IFIN-HH ININ IRMM KRISS LNE-LNHB LNMRI MKEH NIST NMIJ NMISA PTB RC SMU BelGIM CENTIS-DMR The BIPM key comparison database, November /8
6 Matrix of Equivalence (Continued) Lab j Lab i IFIN-HH ININ IRMM KRISS LNE-LNHB LNMRI MKEH NIST NMIJ D i U i 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 D ij U ij D ij U ij / MBq / MBq / MBq / MBq / MBq / MBq / MBq / MBq / MBq / MBq ANSTO NPL VNIIM BARC BEV BIPM CIEMAT CMI-IIR CNEA IFIN-HH ININ IRMM KRISS LNE-LNHB LNMRI MKEH NIST NMIJ NMISA PTB RC SMU BelGIM CENTIS-DMR The BIPM key comparison database, November /8
7 Matrix of Equivalence Lab i NMISA PTB RC SMU BelGIM CENTIS-DMR D i U i D ij U ij D ij U ij D ij U ij D ij U ij D ij U ij D ij U ij / MBq / MBq / MBq / MBq / MBq / MBq / MBq ANSTO NPL VNIIM BARC BEV BIPM CIEMAT CMI-IIR CNEA IFIN-HH ININ IRMM KRISS LNE-LNHB LNMRI MKEH NIST NMIJ NMISA PTB RC SMU BelGIM CENTIS-DMR The BIPM key comparison database, November /8
8 BIPM.RI(II)-K1.Am-241, CCRI(II)-K2.Am-241 (2003) and COOMET.RI(II)-K2.Am-241 Degrees of equivalence for equivalent activity of 241 Am [D i = (x i - x R )] / (MBq) (D i / x R ) / (kbq/mbq) ANSTO NPL VNIIM BARC BEV BIPM CIEMAT CMI-IIR CNEA IFIN-HH Squares: participants in BIPM.RI(II)-K1.Am-241 (the black square identifies the participant result prior to 1987) Blue circles: participants CCRI(II)-K2.Am1241 (2003) Green triangles: participants in COOMET.RI(II)-K2.Am-241 Note: the right-hand axis shows approximate relative value only. ININ IRMM KRISS LNE-LNHB LNMRI MKEH NIST NMIJ NMISA PTB RC SMU BelGIM CENTIS-DMR The BIPM key comparison database, November /8
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