CCQM-K9, CCQM-K9.1, CCQM-K9.2, and APMP.QM-K9

MEASURAND : pH value of phosphate buffer
Sample 1 : [0.025 mol kg-1 KH2PO4 + 0.025 mol kg-1 Na2HPO4]
Measurements at 15 °C

NOMINAL VALUE : pH = 6.9 at 25 °C

Degrees of equivalence Di and expanded uncertainty Ui (k = 2)

Red diamonds: CCQM-K9 participants
Green triangle: SMU "subsequent" (CCQM-K9.1)
Orange circles: CCQM-K9.2 participants only
Blue squares: APMP.QM-K9 participants only

DITDI = -0.0377, and UITDI = 0.0502

CCQM-K9, CCQM-K9.1, CCQM-K9.2, and APMP.QM-K9

MEASURAND : pH value of phosphate buffer
Sample 1 : [0.025 mol kg-1 KH2PO4 + 0.025 mol kg-1 Na2HPO4]
Measurements at 25 °C

NOMINAL VALUE : pH = 6.9 at 25 °C

Degrees of equivalence Di and expanded uncertainty Ui (k = 2)

Red diamonds: CCQM-K9 participants
Green triangle: SMU "subsequent" (CCQM-K9.1)
Orange circles: CCQM-K9.2 participants only
Blue squares: APMP.QM-K9 participants only

DMSL = 0.0272, and UMSL = 0.0040;
DITDI = -0.0642, and UITDI = 0.0530;
UVMI-STAMEQ = 0.0840

CCQM-K9, CCQM-K9.1, CCQM-K9.2, and APMP.QM-K9

MEASURAND : pH value of phosphate buffer
Sample 1 : [0.025 mol kg-1 KH2PO4 + 0.025 mol kg-1 Na2HPO4]
Measurements at 37 °C

NOMINAL VALUE : pH = 6.9 at 25 °C

Degrees of equivalence Di and expanded uncertainty Ui (k = 2)

Red diamonds: CCQM-K9 participants
Green triangle: SMU "subsequent" (CCQM-K9.1)
Orange circles: CCQM-K9.2 participants only
Blue squares: APMP.QM-K9 participants only

DITDI = -0.0794, UITDI = 0.0538

MEASURAND : pH value of phosphate buffer
Sample 1 : [0.025 mol kg-1 KH2PO4 + 0.025 mol kg-1 Na2HPO4]
Measurements at 5 °C, 10 °C, 20 °C, 30 °C, 40 °C, 45 °C and 50 °C

NOMINAL VALUE : pH = 6.9 at 25 °C

Degrees of equivalence Di and expanded uncertainty Ui (k = 2) for each temperature

Click on the graph for a closer view

   
   
   
   

MEASURAND : pH value of phosphate buffer
Sample 2 : [0.02 mol kg-1 KH2PO4 + 0.02 mol kg-1 Na2HPO4]
Measurements at 15 °C

NOMINAL VALUE : pH = 6.9 at 25 °C

Degrees of equivalence Di and expanded uncertainties Ui (k = 2)

MEASURAND : pH value of phosphate buffer
Sample 2 : [0.02 mol kg-1 KH2PO4 + 0.02 mol kg-1 Na2HPO4]
Measurements at 25 °C

NOMINAL VALUE : pH = 6.9 at 25 °C

Degrees of equivalence Di and expanded uncertainties Ui (k = 2)

MEASURAND : pH value of phosphate buffer
Sample 2 : [0.02 mol kg-1 KH2PO4 + 0.02 mol kg-1 Na2HPO4]
Measurements at 37 °C

NOMINAL VALUE : pH = 6.9 at 25 °C

Degrees of equivalence Di and expanded uncertainty Ui (k = 2)

MEASURAND : pH value of phosphate buffer
Sample 2 : [0.02 mol kg-1 KH2PO4 + 0.02 mol kg-1 Na2HPO4]
Measurements at 5 °C, 10 °C, 20 °C, 30 °C, 40 °C, 45 °C and 50 °C

NOMINAL VALUE : pH = 6.9 at 25 °C

Degrees of equivalence Di and expanded uncertainty Ui (k = 2) for each temperature

Click on the graph for a closer view

   
   
   
   

CCQM-K9, CCQM-K9.1, CCQM-K9.2, and APMP.QM-K9

MEASURAND : pH value of phosphate buffer
Sample 1 : [0.025 mol kg-1 KH2PO4 + 0.025 mol kg-1 Na2HPO4]
Measurements at 15 °C

NOMINAL VALUE : pH = 6.9 at 25 °C

   
Lab iDiUi
NRCCRM-0.00250.0061
PTB0.00170.0022
DPL0.00080.0019
KRISS-0.00340.0022
CENAM0.00150.0061
GUM0.00150.0022
VNIIFTRI0.00050.0039
SMU-0.00450.0022
NIST-0.00020.0014
   
SMU(s)0.00270.0031
   
DFM-0.00010.0024
NMIJ-0.00130.0032
INMETRO-0.00970.0065
CMI0.02640.0040
   
NIMT*-0.00610.0094
GL*0.00130.0114
MSL*--
KIM-LIPI*--
NML-SIRIM*0.00410.0042
ITDI*-0.03770.0502
VMI-STAMEQ*--

'(s)' means 'subsequent bilateral comparison'.
Italics characters indicate that the erroneous result was used for computing the degrees of equivalence involving SMU.
Blue indicates participants in CCQM-K9.2 only.
* indicates participants in APMP.QM-K9 only.


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

CCQM-K9, CCQM-K9.1, CCQM-K9.2, and APMP.QM-K9

MEASURAND : pH value of phosphate buffer
Sample 1 : [0.025 mol kg-1 KH2PO4 + 0.025 mol kg-1 Na2HPO4]
Measurements at 25 °C

NOMINAL VALUE : pH = 6.9 at 25 °C

   
Lab iDiUi
NRCCRM-0.00330.0042
PTB0.00100.0025
DPL0.00100.0020
KRISS-0.00360.0023
CENAM-0.00530.0121
GUM0.00120.0021
VNIIFTRI0.00070.0038
SMU-0.00430.0023
NIST-0.00030.0017
   
SMU(s)0.00210.0033
   
DFM0.00140.0024
NMIJ-0.00090.0029
INMETRO-0.00350.0062
CMI0.01580.0040
   
NIMT*-0.00410.0070
GL*-0.00120.0118
MSL*0.02720.0040
KIM-LIPI*-0.01920.0134
NML-SIRIM*-0.00450.0040
ITDI*-0.06420.0530
VMI-STAMEQ*-0.00420.0840

'(s)' means 'subsequent bilateral comparison'.
Italics characters indicate that the erroneous result was used for computing the degrees of equivalence involving SMU.
Blue indicates participants in CCQM-K9.2 only.
* indicates participants in APMP.QM-K9 only.


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

CCQM-K9, CCQM-K9.1, CCQM-K9.2, and APMP.QM-K9

MEASURAND : pH value of phosphate buffer
Sample 1 : [0.025 mol kg-1 KH2PO4 + 0.025 mol kg-1 Na2HPO4]
Measurements at 37 °C

NOMINAL VALUE : pH = 6.9 at 25 °C

   
Lab iDiUi
NRCCRM-0.00240.0042
PTB0.00120.0025
DPL0.00130.0020
KRISS-0.00340.0024
GUM-0.00120.0022
VNIIFTRI-0.00040.0040
SMU-0.00440.0024
NIST0.00120.0045
   
SMU(s)0.00290.0036
   
DFM0.00150.0026
NMIJ-0.00080.0032
INMETRO-0.00490.0062
CMI0.01700.0048
   
NIMT*-0.00190.0092
GL*-0.00040.0116
MSL*--
KIM-LIPI*--
NML-SIRIM*-0.00530.0042
ITDI*-0.07940.0538
VMI-STAMEQ*--

'(s)' means 'subsequent bilateral comparison'.
Italics characters indicate that the erroneous result was used for computing the degrees of equivalence involving SMU.
Blue indicates participants in CCQM-K9.2 only.
* indicates participants in APMP.QM-K9 only.


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

MEASURAND : pH value of phosphate buffer
Sample 1 : [0.025 mol kg-1 KH2PO4 + 0.025 mol kg-1 Na2HPO4]
Measurements at 5 °C, 10 °C, 20 °C, 30 °C, 40 °C, 45 °C and 50 °C

NOMINAL VALUE : pH = 6.9 at 25 °C

   
Lab iDiUi
T = 5 °C  
PTB0.00170.0030
KRISS-0.00310.0029
CENAM-0.00770.0161
GUM0.00350.0027
VNIIFTRI0.00030.0041
NIST-0.00070.0022
T = 10 °C  
PTB0.00160.0029
KRISS-0.00300.0026
CENAM-0.00830.0181
GUM0.00210.0024
VNIIFTRI0.00070.0041
NIST-0.00050.0021
T = 20 °C  
PTB0.00180.0026
KRISS-0.00300.0024
CENAM0.00590.0101
GUM0.00110.0023
VNIIFTRI0.00090.0039
NIST-0.00020.0018
T = 30 °C  
PTB0.00100.0026
KRISS-0.00340.0024
CENAM0.00280.0121
GUM-0.00010.0023
VNIIFTRI0.00080.0039
NIST0.00080.0045
T = 40 °C  
PTB0.00130.0029
KRISS-0.00340.0027
CENAM0.00100.0082
GUM-0.00160.0030
VNIIFTRI-0.00200.0042
NIST0.00220.0046
DPL0.00220.0025
T = 45 °C  
PTB0.00110.0031
KRISS-0.00310.0028
CENAM0.00750.0083
GUM-0.00280.0033
VNIIFTRI-0.00150.0044
NIST0.00220.0050
DPL0.00210.0027
T = 50 °C  
PTB0.00320.0037
KRISS-0.00180.0036
CENAM0.00900.0104
GUM-0.00380.0040
VNIIFTRI-0.00100.0047
NIST0.00670.0055

The full matrices of equivalence are available in Summary Results (summary of the results as a .PDF file).

MEASURAND : pH value of phosphate buffer
Sample 2 : [0.02 mol kg-1 KH2PO4 + 0.02 mol kg-1 Na2HPO4]
Measurements at 15 °C

NOMINAL VALUE : pH = 6.9 at 25 °C

   
Lab iDiUi
NRCCRM-0.00160.0044
PTB0.00110.0028
DPL0.00170.0023
KRISS-0.00310.0023
NIMC0.01040.0088
CENAM0.01140.0111
GUM-0.00150.0025
VNIIFTRI0.00240.0042
SMU-0.00560.0026
NIST0.00470.0031

The full matrix of equivalence is available in Summary Results (summary of the results as a .PDF file).

MEASURAND : pH value of phosphate buffer
Sample 2 : [0.02 mol kg-1 KH2PO4 + 0.02 mol kg-1 Na2HPO4]
Measurements at 25 °C

NOMINAL VALUE : pH = 6.9 at 25 °C

   
Lab iDiUi
NRCCRM-0.00190.0042
PTB0.00090.0026
DPL0.00180.0021
KRISS-0.00280.0021
NIMC0.00280.0085
CENAM0.01610.0131
GUM-0.00020.0021
VNIIFTRI0.00310.0039
SMU-0.00590.0024
NIST0.00360.0044

The full matrix of equivalence is available in Summary Results (summary of the results as a .PDF file).

MEASURAND : pH value of phosphate buffer
Sample 2 : [0.02 mol kg-1 KH2PO4 + 0.02 mol kg-1 Na2HPO4]
Measurements at 37 °C

NOMINAL VALUE : pH = 6.9 at 25 °C

   
Lab iDiUi
NRCCRM-0.00320.0043
PTB0.00060.0027
DPL0.00280.0022
KRISS-0.00240.0022
NIMC-0.00120.0076
CENAM0.00780.0111
GUM-0.00190.0027
VNIIFTRI-0.00020.0041
SMU-0.00620.0025
NIST0.00400.0034

The full matrix of equivalence is available in Summary Results (summary of the results as a .PDF file).

MEASURAND : pH value of phosphate buffer
Sample 2 : [0.02 mol kg-1 KH2PO4 + 0.02 mol kg-1 Na2HPO4]
Measurements at 5 °C, 10 °C, 20 °C, 30 °C, 40 °C, 45 °C and 50 °C

NOMINAL VALUE : pH = 6.9 at 25 °C

   
Lab iDiUi
T = 5 °C  
PTB0.00140.0040
KRISS-0.00230.0031
GUM0.00200.0033
VNIIFTRI0.00310.0046
T = 10 °C  
PTB0.00190.0037
KRISS-0.00210.0027
GUM0.00090.0027
VNIIFTRI0.00380.0044
T = 20 °C  
PTB0.00220.0030
KRISS-0.00180.0026
GUM0.00010.0030
VNIIFTRI0.00280.0041
T = 30 °C  
PTB0.00190.0027
KRISS-0.00140.0023
GUM0.00000.0023
VNIIFTRI0.00260.0039
T = 40 °C  
PTB0.00170.0035
KRISS-0.00030.0024
GUM-0.00070.0028
VNIIFTRI0.00050.0042
T = 45 °C  
PTB0.00130.0040
KRISS-0.00140.0031
GUM-0.00260.0032
VNIIFTRI-0.00330.0048
DPL0.00370.0031
T = 50 °C  
PTB0.00330.0040
KRISS0.00070.0031
GUM-0.00330.0034
VNIIFTRI0.00060.0044

The full matrix of equivalence is available in Summary Results (summary of the results as a .PDF file).

Comparison
Comparison close
CC comparison
Linked comparison
CCQM-K9
Metrology area, Sub-field Chemistry and Biology, Electrochemistry
Description pH measurement of phosphate buffer solutions
Time of measurements 1999 - 2000
Status Approved for equivalence
Final Reports of the comparisons
Measurand pH 6.9 at 25 °C
Parameters 15 °C, 25 °C and 37 °C plus 7 other temperatures
Transfer device Sample 1: 0.025 mol/kg of KH2PO4 and Na2HPO4
Sample 2: 0.02 mol/kg of KH2PO4 and Na2HPO4
Comparison type Key Comparison
Consultative Committee CCQM (Consultative Committee for Amount of Substance)
Conducted by CCQM (Consultative Committee for Amount of Substance)
Comments

A subsequent bilateral comparison was carried out between SMU and PTB.

Results published on 12 December 2001

Determination of the pH of two phosphate buffer solutions (sample 1 and sample 2) at different temperatures between 5 °C and 50 °C

CCQM-K9.2 and APMP.QM-K9 results are linked to those of CCQM-K9 (sample 1)

Pilot institute PTB
Physikalisch-Technische Bundesanstalt
Germany
Contact person P. Spitzer

+49 (0) 531 592 3130
First Name Last Name
wwww@ww.www +356719836 Institute 1 Institute 1 Khmelnitskiy
Pilot laboratory
PTB

Physikalisch-Technische Bundesanstalt, Germany, EURAMET

CENAM

Centro Nacional de Metrologia, Mexico, SIM

GUM

Glowny Urzad Miar, Central Office of Measures, Poland, EURAMET

KRISS

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

NIST

National Institute of Standards and Technology, United States, SIM

NMIJ AIST

National Metrology Institute of Japan, Japan, APMP

SMU

Slovensky Metrologicky Ustav, Slovakia, EURAMET

VNIIFTRI

Institute of Physical Technical and Radiotechnical Measurements, Rosstandart, Russian Federation, COOMET

CCQM-K9, CCQM-K9.1, CCQM-K9.2, and APMP.QM-K9

  • CCQM-K9 and CCQM-K9.1 (subsequent bilateral SMU - PTB)

MEASURAND : pH value of phosphate buffer
Sample 1 : [0.025 mol kg-1 KH2PO4 + 0.025 mol kg-1 Na2HPO4]
Measurements at 15 °C

NOMINAL VALUE : pH = 6.9 at 25 °C

The key comparison reference value, pHR, is obtained as the variance-weighted mean of the results from the participants. The standard uncertainty, uR, of pHR is calculated according to the external consistency concept (see page 11 of the CCQM-K9 Final Report).

pHR = 6.8975 and uR = 0.0005

The degree of equivalence of each laboratory with respect to the reference value is given by a pair of terms: Di = (pHi - pHR) and Ui, its expanded uncertainty (k = 2),
Ui = 2(ui2 + uR2)1/2. Note that this gives a conservative estimate of Ui.

The degree of equivalence between two laboratories is given by a pair of terms:
Dij = Di - Dj = pHi - pHj and Uij, its expanded uncertainty (k = 2),
Uij = 2(ui2 + uj2)1/2.

Within its uncertainty, the performance of PTB is assumed to be similar in the original full comparison and in the subsequent bilateral comparison between SMU and PTB. Following this bilateral comparison:

the new degree of equivalence of SMU with respect to the key comparison reference value is DSMU(s) = pHSMU(s) - pHPTB(s) + DPTB and
USMU(s) = 2(uSMU(s)2 + uPTB(s)2 + uR2)1/2;

– the new degree of equivalence between SMU and any other laboratory j is
DSMU(s) j = DSMU(s) - Dj and USMU(s) j = 2(uSMU(s)2 + uPTB(s)2 + uj2)1/2.

  • Linking CCQM-K9.2 results to CCQM-K9 results
The linkage process is detailed in Section 13 of the CCQM-K9.2 Final Report and is based on the performance of the common participants, PTB and VNIIFTRI, in both key comparisons. It leads to the computation of the degrees of equivalence of participants in CCQM-K9.2 only, relative to the CCQM-K9 key comparison reference values, and allows to extend the graph of equivalence obtained in CCQM-K9 at temperature 15 °C.

No pair-wise degrees of equivalence involving participants in CCQM-K9.2 only are computed.
  • Linking APMP.QM-K9 results to CCQM-K9 results
The linkage process is detailed in Section 8 of the APMP.QM-K9 Final Report and is ensured by the performance of SMU, NIM and NMIJ, which participated in APMP.QM-K9 and also in one of the key comparisons CCQM-K9, CCQM-K9 (subsequent) or CCQM-K9.2.
It leads to the computation of the degrees of equivalence of participants in APMP.QM-K9 only, relative to the CCQM-K9 key comparison reference values, and allows to extend the graph of equivalence obtained in CCQM-K9 at temperature 15 °C.

No pair-wise degrees of equivalence involving participants in APMP.QM-K9 only are computed.

CCQM-K9, CCQM-K9.1, CCQM-K9.2, and APMP.QM-K9

  • CCQM-K9 and CCQM-K9.1 (subsequent bilateral SMU - PTB)

MEASURAND : pH value of phosphate buffer
Sample 1 : [0.025 mol kg-1 KH2PO4 + 0.025 mol kg-1 Na2HPO4]
Measurements at 25 °C

NOMINAL VALUE : pH = 6.9 at 25 °C

The key comparison reference value, pHR, is obtained as the variance-weighted mean of the results from the participants. The standard uncertainty, uR, of pHR is calculated according to the external consistency concept (see page 11 of the CCQM-K9 Final Report).

pHR = 6.8633 and uR = 0.0006

The degree of equivalence of each laboratory with respect to the reference value is given by a pair of terms: Di = (pHi - pHR) and Ui, its expanded uncertainty (k = 2),
Ui = 2(ui2 + uR2)1/2. Note that this gives a conservative estimate of Ui.

The degree of equivalence between two laboratories is given by a pair of terms:
Dij = Di - Dj = pHi - pHj and Uij, its expanded uncertainty (k = 2),
Uij = 2(ui2 + uj2)1/2.

Within its uncertainty, the performance of PTB is assumed to be similar in the original full comparison and in the subsequent bilateral comparison between SMU and PTB. Following this bilateral comparison:

the new degree of equivalence of SMU with respect to the key comparison reference value is DSMU(s) = pHSMU(s) - pHPTB(s) + DPTB and
USMU(s) = 2(uSMU(s)2 + uPTB(s)2 + uR2)1/2;

– the new degree of equivalence between SMU and any other laboratory j is
DSMU(s) j = DSMU(s) - Dj and USMU(s) j = 2(uSMU(s)2 + uPTB(s)2 + uj2)1/2.

  • Linking CCQM-K9.2 results to CCQM-K9 results
The linkage process is detailed in Section 13 of the CCQM-K9.2 Final Report and is based on the performance of the common participants, PTB and VNIIFTRI, in both key comparisons. It leads to the computation of the degrees of equivalence of participants in CCQM-K9.2 only, relative to the CCQM-K9 key comparison reference values, and allows to extend the graph of equivalence obtained in CCQM-K9 at temperature 25 °C.

No pair-wise degrees of equivalence involving participants in CCQM-K9.2 only are computed.
  • Linking APMP.QM-K9 results to CCQM-K9 results
The linkage process is detailed in Section 8 of the APMP.QM-K9 Final Report and is ensured by the performance of SMU, NIM and NMIJ, which participated in APMP.QM-K9 and also in one of the key comparisons CCQM-K9, CCQM-K9 (subsequent) or CCQM-K9.2.
It leads to the computation of the degrees of equivalence of participants in APMP.QM-K9 only, relative to the CCQM-K9 key comparison reference values, and allows to extend the graph of equivalence obtained in CCQM-K9 at temperature 25 °C.

No pair-wise degrees of equivalence involving participants in APMP.QM-K9 only are computed.

CCQM-K9, CCQM-K9.1, CCQM-K9.2, and APMP.QM-K9

  • CCQM-K9 and CCQM-K9.1 (subsequent bilateral SMU - PTB)

MEASURAND : pH value of phosphate buffer
Sample 1 : [0.025 mol kg-1 KH2PO4 + 0.025 mol kg-1 Na2HPO4]
Measurements at 37 °C

NOMINAL VALUE : pH = 6.9 at 25 °C

The key comparison reference value, pHR, is obtained as the variance-weighted mean of the results from the participants. The standard uncertainty, uR, of pHR is calculated according to the external consistency concept (see page 11 of the CCQM-K9 Final Report).

pHR = 6.8394 and uR = 0.0006

The degree of equivalence of each laboratory with respect to the reference value is given by a pair of terms: Di = (pHi - pHR) and Ui, its expanded uncertainty (k = 2),
Ui = 2(ui2 + uR2)1/2. Note that this gives a conservative estimate of Ui.

The degree of equivalence between two laboratories is given by a pair of terms:
Dij = Di - Dj = pHi - pHj and Uij, its expanded uncertainty (k = 2),
Uij = 2(ui2 + uj2)1/2.

Within its uncertainty, the performance of PTB is assumed to be similar in the original full comparison and in the subsequent bilateral comparison between SMU and PTB. Following this bilateral comparison:

the new degree of equivalence of SMU with respect to the key comparison reference value is DSMU(s) = pHSMU(s) - pHPTB(s) + DPTB and
USMU(s) = 2(uSMU(s)2 + uPTB(s)2 + uR2)1/2;

– the new degree of equivalence between SMU and any other laboratory j is
DSMU(s) j = DSMU(s) - Dj and USMU(s) j = 2(uSMU(s)2 + uPTB(s)2 + uj2)1/2.

  • Linking CCQM-K9.2 results to CCQM-K9 results
The linkage process is detailed in Section 13 of the CCQM-K9.2 Final Report and is based on the performance of the common participants, PTB and VNIIFTRI, in both key comparisons. It leads to the computation of the degrees of equivalence of participants in CCQM-K9.2 only, relative to the CCQM-K9 key comparison reference values, and allows to extend the graph of equivalence obtained in CCQM-K9 at temperature 37 °C.

No pair-wise degrees of equivalence involving participants in CCQM-K9.2 only are computed.
  • Linking APMP.QM-K9 results to CCQM-K9 results
The linkage process is detailed in Section 8 of the APMP.QM-K9 Final Report and is ensured by the performance of SMU, NIM and NMIJ, which participated in APMP.QM-K9 and also in one of the key comparisons CCQM-K9, CCQM-K9 (subsequent) or CCQM-K9.2.
It leads to the computation of the degrees of equivalence of participants in APMP.QM-K9 only, relative to the CCQM-K9 key comparison reference values, and allows to extend the graph of equivalence obtained in CCQM-K9 at temperature 37 °C.

No pair-wise degrees of equivalence involving participants in APMP.QM-K9 only are computed.

MEASURAND : pH value of phosphate buffer
Sample 1 : [0.025 mol kg-1 KH2PO4 + 0.025 mol kg-1 Na2HPO4]
Measurements at 5 °C, 10 °C, 20 °C, 30 °C, 40 °C, 45 °C and 50 °C 

NOMINAL VALUE : pH = 6.9 at 25 °C

The key comparison reference value, pHR, is obtained as the variance-weighted mean of the results from the participants. The standard uncertainty, uR, of pHR is calculated according to the external consistency concept (see page 11 of Final Report).

Temperature / °C 5 10 20 30
pHR 6.9497 6.9213 6.8781 6.8512
uR 0.0009 0.0008 0.0007 0.0007
Temperature / °C 40 45 50  
pHR 6.8360 6.8325 6.8290  
uR 0.0009 0.0011 0.0015  
The degree of equivalence of each laboratory with respect to the reference value is given by a pair of terms: Di = (pHi - pHR) and Ui, its expanded uncertainty (k = 2),
Ui = 2(ui2 + uR2)1/2. Note that this gives a conservative estimate of Ui.

The degree of equivalence between two laboratories is given by a pair of terms:
Dij = Di - Dj = pHi - pHj and Uij, its expanded uncertainty (k = 2),
Uij = 2(ui2 + uj2)1/2.

MEASURAND : pH value of phosphate buffer
Sample 2 : [0.02 mol kg-1 KH2PO4 + 0.02 mol kg-1 Na2HPO4]
Measurements at 15 °C

NOMINAL VALUE : pH = 6.9 at 25 °C

The key comparison reference value, pHR, is obtained as the variance-weighted mean of the results from the participants. The standard uncertainty, uR, of pHR is calculated according to the external consistency concept (see page 11 of Final Report).

pHR = 6.9248 and uR = 0.0009

The degree of equivalence of each laboratory with respect to the reference value is given by a pair of terms: Di = (pHi - pHR) and Ui, its expanded uncertainty (k = 2),
Ui = 2(ui2 + uR2)1/2. Note that this gives a conservative estimate of Ui.

The degree of equivalence between two laboratories is given by a pair of terms:
Dij = Di - Dj = pHi - pHj and Uij, its expanded uncertainty (k = 2),
Uij = 2(ui2 + uj2)1/2.

 

MEASURAND : pH value of phosphate buffer
Sample 2 : [0.02 mol kg-1 KH2PO4 + 0.02 mol kg-1 Na2HPO4]
Measurements at 25 °C

NOMINAL VALUE : pH = 6.9 at 25 °C

The key comparison reference value, pHR, is obtained as the variance-weighted mean of the results from the participants. The standard uncertainty, uR, of pHR is calculated according to the external consistency concept (see page 11 of Final Report).

pHR = 6.8905 and uR = 0.0007

The degree of equivalence of each laboratory with respect to the reference value is given by a pair of terms: Di = (pHi - pHR) and Ui, its expanded uncertainty (k = 2),
Ui = 2(ui2 + uR2)1/2. Note that this gives a conservative estimate of Ui.

The degree of equivalence between two laboratories is given by a pair of terms:
Dij = Di - Dj = pHi - pHj and Uij, its expanded uncertainty (k = 2),
Uij = 2(ui2 + uj2)1/2.

MEASURAND : pH value of phosphate buffer
Sample 2 : [0.02 mol kg-1 KH2PO4 + 0.02 mol kg-1 Na2HPO4]
Measurements at 37 °C

NOMINAL VALUE : pH = 6.9 at 25 °C

The key comparison reference value, pHR, is obtained as the variance-weighted mean of the results from the participants. The standard uncertainty, uR, of pHR is calculated according to the external consistency concept (see page 11 of Final Report).

pHR = 6.8667 and uR = 0.0008

The degree of equivalence of each laboratory with respect to the reference value is given by a pair of terms: Di = (pHi - pHR) and Ui, its expanded uncertainty (k = 2),
Ui = 2(ui2 + uR2)1/2. Note that this gives a conservative estimate of Ui.

The degree of equivalence between two laboratories is given by a pair of terms:
Dij = Di - Dj = pHi - pHj and Uij, its expanded uncertainty (k = 2),
Uij = 2(ui2 + uj2)1/2.

MEASURAND : pH value of phosphate buffer
Sample 2 : [0.02 mol kg-1 KH2PO4 + 0.02 mol kg-1 Na2HPO4]
Measurements at 5 °C, 10 °C, 20 °C, 30 °C, 40 °C, 45 °C and 50 °C

NOMINAL VALUE : pH = 6.9 at 25 °C

The key comparison reference value, pHR, is obtained as the variance-weighted mean of the results from the participants. The standard uncertainty, uR, of pHR is calculated according to the external consistency concept (see page 11 of Final Report).

Temperature / °C 5 10 20 30
pHR 6.9756 6.9471 6.9046 6.8771
uR 0.0013 0.0011 0.0010 0.0008
Temperature / °C 40 45 50
pHR 6.8614 6.8592 6.8563
uR 0.0009 0.0013 0.0013
The degree of equivalence of each laboratory with respect to the reference value is given by a pair of terms: Di = (pHi - pHR) and Ui, its expanded uncertainty (k = 2),
Ui = 2(ui2 + uR2)1/2. Note that this gives a conservative estimate of Ui.

The degree of equivalence between two laboratories is given by a pair of terms:
Dij = Di - Dj = pHi - pHj and Uij, its expanded uncertainty (k = 2),
Uij = 2(ui2 + uj2)1/2.

CCQM-K9, CCQM-K9.1, CCQM-K9.2, and APMP.QM-K9

  • CCQM-K9 and CCQM-K9.1 (subsequent bilateral SMU - PTB)

MEASURAND : pH value of phosphate buffer
Sample 1: [0.025 mol kg-1 KH2PO4 + 0.025 mol kg-1 Na2HPO4]
Measurements at 15 °C

NOMINAL VALUE : pH = 6.9 at 25 °C

pHi : result of measurement carried out by laboratory i
ui : combined standard uncertainty (k = 1) of pHi

 Lab i Temperature Date of measurement
15 °C
pHi ui
 NRCCRM 6.8950 0.0030 99-12
 PTB 6.8992 0.0010 99-11
 DPL 6.8983 0.0008 99-10
 KRISS 6.8941 0.0010 99-11
 CENAM 6.8990 0.0030 99-11
 GUM 6.8990 0.0010 99-12
 VNIIFTRI 6.8980 0.0019 99-10
 SMU* 6.8930 0.0010 00-02
 NIST 6.8973 0.0005 00-01
 SMU corrected 6.8970 0.0009 00-02

*SMU discovered a calculation error. The erroneous result is used for computing the degrees of equivalence involving SMU.
The erroneous result is corrected before it is used for evaluating the key comparison reference value.

A subsequent bilateral comparison was carried out between SMU and PTB in December 2000.
The composition of the measured sample was very similar to that of sample 1.
Measurements were also carried out at 25 °C and 37 °C.

 PTB(s) 6.9004 0.0011 00-12
 SMU(s) 6.9014 0.0010 00-12

'(s)' means 'subsequent bilateral comparison'.

  • CCQM-K9.2

MEASURAND : pH value of phosphate buffer
Sample 1: [0.025 mol kg-1 KH2PO4 + 0.025 mol kg-1 Na2HPO4]
Measurements at 15 °C

NOMINAL VALUE : pH = 6.9 at 25 °C

pHi : result of measurement carried out by laboratory i
ULab i : expanded uncertainty (k = 2) of pHi

 Lab i Temperature Date of measurement
15 °C
pHi ULab i
 CMI 6.9245 0.0036 Dec 2006
 DFM 6.8980 0.0016 Nov 2006
 INMETRO 6.8884 0.0062 Jan 2007
 NMIJ 6.8968 0.0026 Dec 2006
 PTB 6.8977 0.0020 Nov 2006
 VNIIFTRI 6.9008 0.0022 Jan 2007
  • APMP.QM-K9

MEASURAND : pH value of phosphate buffer
Sample : [0.0217 mol kg-1 KH2PO4 + 0.0219 mol kg-1 Na2HPO4]
Measurements at 15 °C

NOMINAL VALUE : pH = 6.86 at 25 °C

pHi : result of measurement carried out by laboratory i
u i : combined standard uncertainty (k = 1) of pHi

CCQM-K9, CCQM-K9.1, CCQM-K9.2, and APMP.QM-K9

  • CCQM-K9 and CCQM-K9.1 (subsequent bilateral SMU - PTB)

MEASURAND : pH value of phosphate buffer
Sample 1 : [0.025 mol kg-1 KH2PO4 + 0.025 mol kg-1 Na2HPO4]
Measurements at 25 °C

NOMINAL VALUE : pH = 6.9 at 25 °C

pHi : result of measurement carried out by laboratory i
ui : combined standard uncertainty (k = 1) of pHi

 Lab i Temperature Date of measurement
25 °C
pHi ui
 NRCCRM 6.8600 0.0020 99-12
 PTB 6.8643 0.0011 99-11
 DPL 6.8643 0.0008 99-10
 KRISS 6.8597 0.0010 99-11
 CENAM 6.8580 0.0060 99-11
 GUM 6.8645 0.0009 99-12
 VNIIFTRI 6.8640 0.0018 99-10
 SMU* 6.8590 0.0010 00-02
 NIST 6.8630 0.0007 00-01
 SMU corrected 6.8640 0.0009 00-02

*SMU discovered a calculation error. The erroneous result is used for computing the degrees of equivalence involving SMU.
The erroneous result is corrected before it is used for evaluating the key comparison reference value.

A subsequent bilateral comparison was carried out between SMU and PTB in December 2000.
The composition of the measured sample was very similar to that of sample 1.
Measurements were also carried out at 15 °C and 37 °C.

 PTB(s) 6.8657 0.0011 00-12
 SMU(s) 6.8668 0.0011 00-12

'(s)' means 'subsequent bilateral comparison'.

  • CCQM-K9.2

MEASURAND : pH value of phosphate buffer
Sample 1: [0.025 mol kg-1 KH2PO4 + 0.025 mol kg-1 Na2HPO4]
Measurements at 25 °C

NOMINAL VALUE : pH = 6.9 at 25 °C

pHi : result of measurement carried out by laboratory i
ULab i : expanded uncertainty (k = 2) of pHi

 Lab i Temperature Date of measurement
25 °C
pHi ULab i
 CMI 6.8786 0.0036 Dec 2006
 DFM 6.8642 0.0016 Nov 2006
 INMETRO 6.8593 0.0059 Jan 2007
 NMIJ 6.8619 0.0022 Dec 2006
 PTB 6.8632 0.0020 Nov 2006
 VNIIFTRI 6.8642 0.0021 Jan 2007
  • APMP.QM-K9

MEASURAND : pH value of phosphate buffer
Sample : [0.0217 mol kg-1 KH2PO4 + 0.0219 mol kg-1 Na2HPO4]
Measurements at 25 °C

NOMINAL VALUE : pH = 6.86 at 25 °C

pHi : result of measurement carried out by laboratory i
u i : combined standard uncertainty (k = 1) of pHi

CCQM-K9, CCQM-K9.1, CCQM-K9.2 and APMP.QM-K9

  • CCQM-K9 and CCQM-K9.1 (subsequent bilateral SMU - PTB)

MEASURAND : pH value of phosphate buffer
Sample 1 : [0.025 mol kg-1 KH2PO4 + 0.025 mol kg-1 Na2HPO4]
Measurements at 37 °C

NOMINAL VALUE : pH = 6.9 at 25 °C

pHi : result of measurement carried out by laboratory i
ui : combined standard uncertainty (k = 1) of pHi

 Lab i Temperature Date of measurement
37 °C
pHi ui
 NRCCRM 6.8370 0.0020 99-12
 PTB 6.8406 0.0011 99-11
 DPL 6.8407 0.0008 99-10
 KRISS 6.8360 0.0010 99-11
 CENAM - - -
 GUM 6.8382 0.0009 99-12
 VNIIFTRI 6.8390 0.0019 99-10
 SMU* 6.8350 0.0010 00-02
 NIST 6.8406 0.0022 00-01
 SMU corrected 6.8397 0.0009 00-02

*SMU discovered a calculation error. The erroneous result is used for computing the degrees of equivalence involving SMU.
The erroneous result is corrected before it is used for evaluating the key comparison reference value.

A subsequent bilateral comparison was carried out between SMU and PTB in December 2000.
The composition of the measured sample was very similar to that of sample 1.
Measurements were also carried out at 15 °C and 25 °C.

 PTB(s) 6.8422 0.0011 00-12
 SMU(s) 6.8439 0.0013 00-12
'(s)' means 'subsequent bilateral comparison'.

  • CCQM-K9.2

MEASURAND : pH value of phosphate buffer
Sample 1: [0.025 mol kg-1 KH2PO4 + 0.025 mol kg-1 Na2HPO4]
Measurements at 37 °C

NOMINAL VALUE : pH = 6.9 at 25 °C

pHi : result of measurement carried out by laboratory i
ULab i : expanded uncertainty (k = 2) of pHi

 Lab i Temperature Date of measurement
37 °C
pHi ULab i
 CMI 6.8564 0.0043 Dec 2006
 DFM 6.8409 0.0016 Nov 2006
 INMETRO 6.8345 0.0058 Jan 2007
 NMIJ 6.8386 0.0024 Dec 2006
 PTB 6.8403 0.0020 Nov 2006
 VNIIFTRI 6.8393 0.0026 Jan 2007
  • APMP.QM-K9

MEASURAND : pH value of phosphate buffer
Sample : [0.0217 mol kg-1 KH2PO4 + 0.0219 mol kg-1 Na2HPO4]
Measurements at 37 °C

NOMINAL VALUE : pH = 6.86 at 25 °C

pHi : result of measurement carried out by laboratory i
u i : combined standard uncertainty (k = 1) of pHi

MEASURAND : pH value of phosphate buffer
Sample 1 : [0.025 mol kg-1 KH2PO4 + 0.025 mol kg-1 Na2HPO4]
Measurements at 5 °C, 10 °C, 20 °C, 30 °C, 40 °C, 45 °C and 50 °C

NOMINAL VALUE : pH = 6.9 at 25 °C

pHi : result of measurement carried out by laboratory i
ui : combined standard uncertainty (k = 1) of pHi

 Lab i Temperature Date of measurement
5 °C
pHi ui
 PTB 6.9514 0.0012 99-11
 KRISS 6.9466 0.0011 99-11
 CENAM 6.9420 0.0080 99-11
 GUM 6.9532 0.0010 99-12
 VNIIFTRI 6.9500 0.0018 99-10
 NIST 6.9490 0.0006 00-01


 Lab i Temperature Date of measurement
10 °C
pHi ui
 PTB 6.9229 0.0012 99-11
 KRISS 6.9183 0.0010 99-11
 CENAM 6.9130 0.0090 99-11
 GUM 6.9234 0.0009 99-12
 VNIIFTRI 6.9220 0.0019 99-10
 NIST 6.9208 0.0007 00-01


 Lab i Temperature Date of measurement
20 °C
pHi ui
 PTB 6.8799 0.0011 99-11
 KRISS 6.8751 0.0010 99-11
 CENAM 6.8840 0.0050 99-11
 GUM 6.8792 0.0009 99-12
 VNIIFTRI 6.8790 0.0018 99-10
 NIST 6.8779 0.0006 00-01


 Lab i Temperature Date of measurement
30 °C
pHi ui
 PTB 6.8522 0.0011 99-11
 KRISS 6.8478 0.0010 99-11
 CENAM 6.8540 0.0060 99-11
 GUM 6.8511 0.0009 99-12
 VNIIFTRI 6.8520 0.0018 99-10
 NIST 6.8520 0.0021 00-01

 Lab i Temperature Date of measurement
40 °C
pHi ui
 PTB 6.8373 0.0011 99-11
 DPL 6.8382 0.0008 99-10
 KRISS 6.8326 0.0010 99-11
 CENAM 6.8370 0.0040 99-11
 GUM 6.8344 0.0012 99-12
 VNIIFTRI 6.8340 0.0019 99-10
 NIST 6.8382 0.0021 00-01


 Lab i Temperature Date of measurement
45 °C
pHi ui
 PTB 6.8336 0.0011 99-11
 DPL 6.8346 0.0008 99-10
 KRISS 6.8294 0.0009 99-11
 CENAM 6.8400 0.0040 99-11
 GUM 6.8297 0.0012 99-12
 VNIIFTRI 6.8310 0.0019 99-10
 NIST 6.8347 0.0022 00-01


 Lab i Temperature Date of measurement
50 °C
pHi ui
 PTB 6.8322 0.0011 99-11
 KRISS 6.8272 0.0010 99-11
 CENAM 6.8380 0.0050 99-11
 GUM 6.8252 0.0013 99-12
 VNIIFTRI 6.8280 0.0018 99-10
 NIST 6.8357 0.0023 00-01

MEASURAND : pH value of phosphate buffer
Sample 2 : [0.02 mol kg-1 KH2PO4 + 0.02 mol kg-1 Na2HPO4]
Measurements at 15 °C

NOMINAL VALUE : pH = 6.9 at 25 °C

pHi : result of measurement carried out by laboratory i
ui : combined standard uncertainty (k = 1) of pHi

 Lab i Temperature Date of measurement
15 °C
  pHi ui  
 NRCCRM 6.9232 0.0020 99-12
 PTB 6.9259 0.0011 99-11
 DPL 6.9265 0.0008 99-10
 KRISS 6.9217 0.0008 99-11
 NIMC 6.9352 0.0043 99-12
 CENAM 6.9362 0.0055 99-11
 GUM 6.9233 0.0009 99-12
 VNIIFTRI 6.9272 0.0019 99-10
 SMU* 6.9192 0.0010 00-02
 NIST 6.9295 0.0013 99-11
 SMU corrected 6.9242 0.0009 00-02

*SMU discovered a calculation error. The erroneous result is used for computing the degrees of equivalence involving SMU.
The erroneous result is corrected before it is used for evaluating the key comparison reference value.

MEASURAND : pH value of phosphate buffer
Sample 2 : [0.02 mol kg-1 KH2PO4 + 0.02 mol kg-1 Na2HPO4]
Measurements at 25 °C

NOMINAL VALUE : pH = 6.9 at 25 °C

pHi : result of measurement carried out by laboratory i
ui : combined standard uncertainty (k = 1) of pHi

 Lab i Temperature Date of measurement
25 °C
pHi ui
 NRCCRM 6.8886 0.0020 99-12
 PTB 6.8914 0.0011 99-11
 DPL 6.8923 0.0008 99-10
 KRISS 6.8877 0.0008 99-11
 NIMC 6.8933 0.0042 99-12
 CENAM 6.9066 0.0065 99-11
 GUM 6.8903 0.0008 99-12
 VNIIFTRI 6.8936 0.0018 99-10
 SMU* 6.8846 0.0010 00-02
 NIST 6.8941 0.0021 99-11
 SMU corrected 6.8896 0.0009 00-02

*SMU discovered a calculation error. The erroneous result is used for computing the degrees of equivalence involving SMU.
The erroneous result is corrected before it is used for evaluating the key comparison reference value.

MEASURAND : pH value of phosphate buffer
Sample 2 : [0.02 mol kg-1 KH2PO4 + 0.02 mol kg-1 Na2HPO4]
Measurements at 37 °C

NOMINAL VALUE : pH = 6.9 at 25 °C

pHi : result of measurement carried out by laboratory i
ui : combined standard uncertainty (k = 1) of pHi

 Lab i Temperature Date of measurement
37 °C
pHi ui
 NRCCRM 6.8635 0.0020 99-12
 PTB 6.8673 0.0011 99-11
 DPL 6.8695 0.0008 99-10
 KRISS 6.8643 0.0008 99-11
 NIMC 6.8655 0.0037 99-12
 CENAM 6.8745 0.0055 99-11
 GUM 6.8648 0.0011 99-12
 VNIIFTRI 6.8665 0.0019 99-10
 SMU* 6.8605 0.0010 00-02
 NIST 6.8707 0.0015 99-11
 SMU corrected 6.8657 0.0009 00-02

*SMU discovered a calculation error. The erroneous result is used for computing the degrees of equivalence involving SMU.
The erroneous result is corrected before it is used for evaluating the key comparison reference value.

MEASURAND : pH value of phosphate buffer
Sample 2 : [0.02 mol kg-1 KH2PO4 + 0.02 mol kg-1 Na2HPO4]
Measurements at 5 °C, 10 °C, 20 °C, 30 °C, 40 °C, 45 °C and 50 °C

NOMINAL VALUE : pH = 6.9 at 25 °C

pHi : result of measurement carried out by laboratory i
ui : combined standard uncertainty (k = 1) of pHi

 Lab i Temperature Date of measurement
5 °C
pHi ui
 PTB 6.9770 0.0015 99-11
 KRISS 6.9733 0.0008 99-11
 GUM 6.9776 0.0010 99-12
 VNIIFTRI 6.9787 0.0019 99-10


 Lab i Temperature Date of measurement
10 °C
pHi ui
 PTB 6.9490 0.0015 99-11
 KRISS 6.9450 0.0008 99-11
 GUM 6.9480 0.0008 99-12
 VNIIFTRI 6.9509 0.0019 99-10


 Lab i Temperature Date of measurement
20 °C
pHi ui
 PTB 6.9068 0.0011 99-11
 KRISS 6.9028 0.0008 99-11
 GUM 6.9047 0.0011 99-12
 VNIIFTRI 6.9074 0.0018 99-10


 Lab i Temperature Date of measurement
30 °C
pHi ui
 PTB 6.8790 0.0011 99-11
 KRISS 6.8757 0.0008 99-11
 GUM 6.8771 0.0008 99-12
 VNIIFTRI 6.8797 0.0018 99-10

 Lab i Temperature Date of measurement
40 °C
pHi ui
 PTB 6.8631 0.0015 99-11
 KRISS 6.8611 0.0008 99-11
 GUM 6.8607 0.0011 99-12
 VNIIFTRI 6.8619 0.0019 99-10


 Lab i Temperature Date of measurement
45 °C
pHi ui
 PTB 6.8605 0.0015 99-11
 DPL 6.8629 0.0008 99-10
 KRISS 6.8578 0.0008 99-11
 GUM 6.8566 0.0009 99-12
 VNIIFTRI 6.8559 0.0020 99-10


 Lab i Temperature Date of measurement
50 °C
pHi ui
 PTB 6.8596 0.0015 99-11
 KRISS 6.8570 0.0008 99-11
 GUM 6.8530 0.0011 99-12
 VNIIFTRI 6.8569 0.0018 99-10