APMP L-K4 Key Comparison, - BIPM - BIPM · NML-SIRIM, Lot 4803, Bandar Baru Salak Tinggi, 43900 Sepang, Selangor, Malaysia. Bui Quoc Thu VMI, D Building, No 8 Hoang Quoc Viet Road,

APMP.L-K4.2008: Key Comparison: Calibration of diameter standards 0

Final Report Jun, 2014

APMP L-K4 Key Comparison,

Calibration of diameter standards

Final Report

Jui-Hsi Chin

CMS/ITRI, Bldg. 8, 321 Kuang Fu Rd., Sec. 2, Hsinchu, Taiwan 300, R.O.C.

Toshiyuki Takatsuji, Masami Horita, Tsuyoshi Hamakawa

NMIJ/AIST, 1-1-1 Umezono, Tsukuba, Ibaraki 305-8563, Japan

K.P. Chaudhary

NPL-I , Dr. K.S. Krishnan Road,New Delhi - 110012, India.

Anusorn Tonmueanwai

NIMT, 3/5 Moo 3, Klong 5, Klongluang, Pathumthani 12120 Thailand

Nurul Alfiyati

Puslit KIM-LIPI, Kompleks Puspiptek Serpong, Tangerang 15314, Indonesia

Oelof Kruger

NMISA, Private bag X34, Lynwood Ridge, 0400 South Africa

Eleanor Howick

MSL, MSL Industrial Research Gracefield Road, Lower Hutt, New Zealand

Peter Cox

NMIA, 1/153 Bertie Street, Port Melbourne, VIC 3207 Australia

Muktar bin Sawi

NML-SIRIM, Lot 4803, Bandar Baru Salak Tinggi, 43900 Sepang, Selangor, Malaysia.

Bui Quoc Thu

VMI, D Building, No 8 Hoang Quoc Viet Road, Cau Giay District, Hanoi, Vietnam

Jong-Ahn Kim

KRISS, 209 Gajeong-Ro, Yuseong-gu, Daejeon 305-340, Rep. of Korea

Wong Seung Yin

SCL, 36 F, Immigration Tower, 7 Gloucester Road, Wan Chai, Hong Kong

TAN Siew Leng

NMC/A*STAR, 1 Science Park Drive, Singapore 118221

S. AL Zaher

NSCL, Barzeh-Mosbak Alsonaa, Near Culture center, P.O. Box: 30116, Damascus , Syria



Contents

1. Introduction

2. Organization

3. Description of the standards

4. Measurement instructions

5. Measurement methods and instruments

6. Stability of the diameter gauges

7. Preliminary analysis of results

8. Measurement results

9. Conclusions

10. Acknowledgement

11. References

Appendix A: Roundness plots of the diameter gauges



1. Introduction

1.1 Equivalence between National Metrology Institutes (NMIs) is becoming more and more

important. The metrological equivalence of national measurement standards is determined by a

set of key comparisons chosen and organized by the Consultative Committees of the CIPM,

which in this case is the Consultive Committee for Length (CCL).

1.2 A regional key comparison, APMP L-K4, was held and followed the guidelines established by

the BIPM[1]. Both the CCL and the regional comparisons are establishing equivalence

between NMIs throughout the world. To demonstrate the equivalence of routine calibration

services offered by NMIs to clients, participants in this APMP. L-K4 comparison agreed to use

the same apparatus and methods as routinely applied to client gauges.

1.3 The standard gauges to be calibrated were chosen to be two rings with respective diameters of

about 11.95 mm and 50 mm, and three plugs with individual diameters of about 3.465 mm, 24

mm, and 50 mm.

1.4 This report summarizes the measurement results provided by the participants and uses some

data analysis principles from the previous key comparisons as CCL-K4[3], and EUROMET L-

K4[4]. Drafts A and B of this report were distributed to all participants for review, and also

approved by APMP TCL.



2. Organization

2.1 Participants

Table 1. Participating institutes

Contact person Institute, address

Telephone

Fax

E-mail

K.P. Chaudhary NPL-I ,

Dr. K.S. Krishnan Road,

New Delhi - 110012,

India.

Tel: 0091-11-45608673

098171213638

Fax: 0091-11-25726938

E-mail: [email protected]

Anusorn Tonmueanwai NIMT,

3/5 Moo 3, Klong 5,

Klongluang, Pathumthani

12120 Thailand

Tel.: +662 5775100

Fax.: +662 5775088


Nurul Alfiyati Puslit KIM-LIPI,

Kompleks Puspiptek

Serpong,

Tangerang 15314,

Indonesia

Tel: +62-21-7560533 ext. 3078

Mobile: +62-856-1024377

Fax: +62-21-7560568

E-mail: [email protected],

[email protected]

Oelof Kruger NMISA,

Private bag X34,

Lynwood Ridge, 0400

South Africa

Tel: +27 12 841 4340

Fax: + 27 12 841 2131


Shipping address:

NMISA, Bldg. 5, CSIR campus, Meiring Naude road, Brumeria, Pretoria,

0001 South Africa

Eleanor Howick MSL,

MSL Industrial Research

Gracefield Road, Lower

Hutt, New Zealand

Tel: +64 4 931 3530

Fax: +64 4 931 3117


Peter Cox NMIA,

1/153 Bertie Street

Port Melbourne VIC 3207

Australia

TEL: +61 3 9644 4906

FAX: +61 3 9644 4900


Muktar bin Sawi NML-SIRIM,

Lot 4803, Bandar Baru

Salak Tinggi, 43900

Sepang, Selangor,

Malaysia.

Tel : +603-87781622

Fax: +603-87781616

email : [email protected]

Bui Quoc Thu VMI,

D Building, No 8 Hoang

Quoc Viet Road, Cau

Giay District, Hanoi,

Vietnam

Tel:+ 844 8361129

Fax:+ 844 7564260

Email: [email protected];

[email protected]

mailto:[email protected]






Contact person Institute, address

Telephone

Fax

E-mail

Jong-Ahn Kim

KRISS, 209 Gajeong-Ro,

Yuseong-gu, Daejeon

305-340, Rep. of Korea

Tel : 82-42-868-5683

Fax : 82-42-868-5608

Email : [email protected]

Wong Seung Yin SCL,

36 F, Immigration Tower,

7 Gloucester Road, Wan

Chai, Hong Kong

Tel:+ 852- 28294805

Fax:+ 852- 28241302

Email: [email protected]

TAN Siew Leng NMC/A*STAR

1 Science Park Drive,

Singapore 118221

Tel:+ 65 62791938

Fax:+ 65 62791992

Email: [email protected]

S. AL Zaher NSCL

Barzeh-Mosbak Alsonaa,

Near Culture center

P.O. Box: 30116

Damascus , Syria

Tel. : +963-11-2216760

Fax : +963-11-5117539

E-mail : [email protected]

Coordinating institute:

Toshiyuki Takatsuji NMIJ/AIST,

1-1-1 Umezono, Tsukuba,

Ibaraki 305-8563, Japan

Tel: +81 29 861 4361

Fax: +81 29 861 4152


Shipping address:

Mr. Tsuyoshi HAMAKAWA

NMIJ Calibration and Verification Section

1-8-31 Midorigaoka,Ikeda, Osaka, 5638577 Japan

TEL:+81-72-751-8655 FAX:+81-72-751-8696


Pilot institute:

Jui-Hsi Chin

CMS/ITRI,

Bldg. 8, 321 Kuang Fu

Rd., Sec. 2, Hsinchu,

Taiwan 300, R.O.C.

Tel: +886-3-5732219

Fax: +886-3-5726445






2.2 Timetable

2.2.1 To meet the limitation of the ATA Carnet one-year expiration and check the change in

diameter, the gauges were planned to circulate within a group of institutes then returned to the

coordinating institute and the pilot institute repeatedly between 2008 and 2010 until all

participants performed their calibration.

2.2.2 All results obtained by the institutes involved were requested to be communicated directly to

the pilot institute as soon as possible, and certainly within 1.5 months of the completion of the

measurements and transportation.

2.2.3 Timetable

Table 2. Actual schedule of the comparison

Institute Measurement

Date(approximate) Remark

CMS/ITRI (Chinese Taipei) May 2008 Pilot institute

NMIJ/AIST (Japan) Jul. 2008 Coordinating institute

SCL (Hong Kong) Aug. 2008

NMIA (Australia) Oct. 2008

MSL (New Zealand) Nov. 2008

NPL-I (India) Jan. 2009

NMC/A*STAR (Singapore) Feb. 2009

Puslit KIM-LIPI (Indonesia) Aug. 2009

VMI (Vietnam) Oct. 2009

NIMT (Thailand) Nov. 2009

NML-SIRIM (Malaysia) Jan. 2010

NMISA (South Africa) Feb. 2010

KRISS (Korea) Oct. 2010

NSCL (Syria) Nov. 2010

.



3. Description of the standards

3.1 The five diameter gauges to be calibrated are given in the table below:

Table 3. Diameter gauges used in the comparison.

Item

Manufacturer

Identification

Dimensions

(mm)

Material

Ring

gauge

Mahr 020233

Ø 11.95

height 10.109 Steel

Ring

gauge

Mahr 020203

Ø 50

height 20.12 Steel

Plug

gauge

Mahr 195337

Ø 3.465

height 40.43 Steel

Plug

gauge

Mahr 020422

(for damage, Mahr 090212

replaced Mahr 020422 in Oct.

2010)

Ø 24

height 8.13 Steel

Plug

gauge

Mahr 020604

Ø 50

height 12.09 Steel

Inscriptions:

Ring gauges: The two ring gauges are both marked on their upper surface with their identification and

two lines indicating the measurement direction.

Plug gauges: Two of the plug gauges, namely the Ø 24 mm and Ø 50 mm gauges, are marked on their

upper surface with their identification and two lines indicating the measurement direction. The Ø

3.465 mm plug gauge is marked by a grey dot on its end to indicate the measurement direction.

According to the protocol, the grey dot was to be oriented at the right-hand side and near the person

who conducts the calibration.



Figure 1 Photographs of the diameter gauges

4. Measurement instructions

4.1 Length measurements should be traceable to the latest realisation of the metre as set out in the

current “Mise en Pratique”. Temperature measurements should be made using the

International Temperature Scale of 1990 (ITS-90).

4.2 The measurand is the diameter of each gauge at 20 C and corrected to zero force. The

diameter of the ring and plug gauges should be measured at the marked lines and at 3 different

heights according to the table below.

Note that the lines defining the measurement direction unfortunately do not always cross the

centre of the cylinder precisely. The measurement direction shall therefore always be parallel

to this line, but not necessarily coincident.

〝x mm〞 and 〝 x mm〞 refer to the required measurement locations x mm above and

below the mid height of the cylinder, respectively. The upper sides of the ring gauges and

plugs are defined by the inscription.

4.3 Measurement locations for the diameter gauges are shown below:



Table 4. Measurement locations for the diameter gauges.

Item Manufacturer

identification

Diameter measurement

locations

Ring gauge

Ø 11.95 mm Mahr 020233

2 mm

middle

2 mm

Ring gauge

Ø 50 mm Mahr 020203

5 mm

middle

5 mm

Plug gauge

Ø 3.465 mm Mahr 195337

10 mm

middle

10 mm

Plug gauge

Ø 24 mm

Mahr 020422 or

Mahr 090212

2 mm

middle

2 mm

Plug gauge

Ø 50 mm Mahr 020604

3 mm

middle

3 mm

4.4 Calibration should be carried out as for a normal customer, and be reported for zero

measuring force and at the reference temperature of 20 ℃ , using a thermal expansion

coefficient of 11.5·10-6

K-1

for the diameter gauges, which are both assumed values because

they have not been measured.

4.5 The uncertainty of measurement is estimated according to 〝ISO/IEC Guide 98-3:2008,

uncertainty of measurement — Part 3: Guide to the expression of uncertainty in measurement

(GUM:1995)〞 . Participants are required to report their measurement uncertainty as the

combined standard uncertainty.

5. Measurement Methods and Instruments

Individual short descriptions about measurement methods and instruments provided by each

participant are list as follows;

NMIJ/AIST (Japan)

Instrument:

Horizontal-type universal length measuring machine type:828CiM by Mahr

Thermometer type:Model-1529 by HART SCIENTIFIC

Gauge blocks type:BM1-112-K/JC(Serial No.0106506) by Mitutoyo

Method:



Calibration is performed by comparison with reference standards. Uncertainty of the calibration by

comparison is influenced by the multipurpose length measuring machine, the environment

temperature, and the setting and adjustment of the object calibrated, among others.

SCL (Hong Kong)

The diameters of the ring gauges and plug gauges were measured by comparison with reference gauge

blocks traceable to NPL, UK. A universal length measuring machine (Model: ULM01-600C from

Carl Zeiss) was used as the length comparator.

NMIA (Australia)

Instrument:

For the 3.465 mm plug gauge: A TESA Modul vertical comparator with a pair of mutually opposed

LVDT probes and a wrung gauge block combination.

For all other gauges: A SIP universal measuring machine fitted with a TESA LVDT lever type probe

& a Renishaw laser interferometer.

Method:

For the 3.465 mm plug gauge: The probe tips were carefully aligned before measuring a wrung gauge

block combination. The test gauge was then measured by sliding the gauge between the probes and

searching for the maximum reading. The gauge block combination was then re-measured. Probe tips

were re-aligned and the gauge block reference re-wrung before repeating the measurements. Finally, a

correction for elastic compression was applied to the measured diameters.

For all other gauges: The gauge under test and the reference gauge (a gauge block or box standard)

were lightly clamped on the table of the measuring machine, in line with the reference laser. The

reference gauge was aligned to be perpendicular to the measurement axis, while the laser wavelength

was corrected for environmental conditions by monitoring air temperature, air pressure and humidity.

The reference gauge was then measured; which was followed by the test gauge, for which care was

taken to ensure that the points of maximum reading on each face were found. The reference gauge

was then re-measured. A probe factor was calculated from the measurements on the reference gauge

and used to determine the diameter of the test gauge. Temperature and elastic compression corrections

were calculated and applied to the measured diameter.

In all cases, measurements labelled “” were towards the engraved face (or the grey dot in the case of

the 3.465 mm plug gauge).

MSL (New Zealand)

Ring gauges and the two larger plug gauges were measured against interferometrically calibrated

gauge blocks using a calibrated Federal 136B-3 horizontal master comparator.

The smallest plug gauge was also measured against interferometrically calibrated gauge blocks, but

using a calibrated Sears-Rolt comparator.

NPL-I (India)

A Length Measuring Machine (ULM OPAL1000) was used for the calibration of the given artefacts.

NMC/A*STAR (Singapore)

Ring Gauges

The diameter of each ring gauge was calibrated using a single-axis measuring machine

(model:SIP305m, serial no.:2809) and gauge blocks (serial no.:958837) with measuring forces of 2.0

N and 4.0 N. The measurement results are referred to 20 ℃ and corrected to zero measuring force.

Plug Gauges

The diameter of each plug gauge was calibrated using a single-axis measuring machine (model:

SIP305m, serial no.:2809) and gauge blocks (serial no.:94374) with measuring forces of 1.5 N and 3.0

N. The measurement results are referred to 20 ℃ and corrected to zero measuring force.

Puslit KIM-LIPI (Indonesia)



The artefacts were measured using a universal length-measuring machine(ULM) OPAL 1000

combined with a laser interferometer, while the gauge block was used as a reference for the ring

gauges (Ø11.95 mm, Ø50 mm) and plug gauges (Ø24 mm,Ø50 mm). The Ø3.465 mm plug gauge was

measured using ULM OPAL 1000 combined with a laser (direct measurement).

VMI (Vietnam)

Plug gauges and Ring gauges were directly calibrated with the laser interferometer (ULMM:

Universal – Length – Measuring – Machine (ULMM) with laser interferometer HP 5529A.

NIMT (Thailand)

The ring gauge was measured using a universal length measuring machine(Mahr Rubin 800) with

single probe diameter of 2 mm. The gauge block was used for reference value.

The ring gauge and gauge block were placed on a measuring table. The ring gauge measurement used

the contact single probe on the right-hand wall of the ring gauge and found the minimum value after

that move; then, the contact single probe to the left-hand wall of the ring gauge was measured the

maximum value found. The measurement results are shown on the computer.

NML-SIRIM (Malaysia)

A single-Axis universal measuring machine, model SIP 1002M was used to perform the

measurements. The artefacts were measured by comparing test gauges against the reference standard

gauge blocks. A measurement sequence based on S-T-S-T-S(where S is standard, and T denotes test)

was used to determine the difference between the standard and test gauges. Optimum alignment was

determined by finding the reversal points of the gauges along the vertical and horizontal axis.

NMISA (South Africa)

All measurements (except the 3.465 mm plug gauge) were performed on a Pratt & Whitney labmaster

measuring machine. The standards were gauge blocks which are calibrated internally in a gauge block

interferometer. The 3.465 mm plug gauge was calibrated on a Wedge Comparator, also with gauge

blocks as the standard.

KRISS (Korea)

An interferometric Abbe-type comparator was used for the measurement of diameter standards. The

comparator used a laser interferometer and a linear variable differential transformer (LVDT) probe as

displacement sensors, and can measure diameter standards up to 300 mm. The measuring force of the

probe was maintained at less than 15 mN by controlling the deflection of the probe. The main

translation stage was made by using a precision ceramic guide and air bearing pads, and driven by a

backlash-free lead screw and a micro-stepping motor. The laser interferometer measured the

displacement of the moving mirror aligned with the probe coaxially. Environmental effects were

corrected automatically during the measurement.

The comparator measured specimens through three procedures: calibration of the effective probe

diameter, initial alignment of the artefact, and automatic measurement of the artefact. The effective

probe diameter (nominal value: 3 mm) was calibrated by measuring the reference gauge block. The

diameter line of the artefact, which passes through two zenith points, was aligned roughly with the

moving axis of the horizontal stage, while the tilt angle (Y) of the specimen was also adjusted to

minimize the cosine error. After this initial alignment, the comparator could measure the diameter of

the specimen automatically as follows. Firstly, the comparator probed one side of specimen to find its

zenith point while translating the artefact in the perpendicular direction (Y) to the main measurement

axis (X). We measured the diameter by performing a circular fitting on several coordinate sets, each

set comprising two (X, Y) coordinates of the end points of each measurement line spaced equally

around the pre-aligned diameter line. Distance between two zenith points was calculated and then the

effective probe diameter and the elastic compression were compensated to obtain the final diameter

value.

NSCL (Syria)



Measuring Instrument: Universal length measuring machine

Manufacturer: Tsugami – Japan

Type: UL5D

Description: The measuring instrument was a horizontal length measuring machine that employs the

Abbe Principle. The instrument uses a digital glass scale that is built onto the centreline of the

measuring spindle.

Measurement method:

Plug gauge: The plug gauge was directly measured using the digital scale by positioning the plug

between two knife edge contact tips at the specified measuring position.

Ring gauge: The ring gauge was measured compared to a standard ring gauge using the digital scale.

The measuring instrument contacts the ring gauge with two arms fitted with spherical contact tips.

CMS/ITRI (Chinese Taipei)

Besides the 3.465 mm plug gauge, a Pratt & Whitney labmaster laser telemetric measuring machine

calibrated all the ring gauges and plug gauges and used correspondent ring gauges and plug gauges as

the standards. The 3.465 mm plug gauge was calibrated on a Zygo 1200B Laser Telemetric System

with plug gauges as the standards.



6. Stability of the diameter gauges

Gauges were monitored by the pilot institute, which measured them at least once a year during the

gauges circulation. Even though more and more scratches were found and reported by participating

institutes, most gauges remained in control condition based on the collected data, except the 24 mm

plug gauge. The 24 mm plug gauge (Mahr 020422) was found to have an obvious deviation present in

July 2010, so a substitute plug gauge (Mahr 090212) replaced it as a new artefact and then was

measured by KRISS and NSCL. The control charts of the diameter gauges are listed as follows;







7. Preliminary analysis of results

After collection of the measurement results from all participants, an initial overview that included the

calculation of weighted mean, En values and Birge ratio value was made.

Some results showed that absolute En values (coverage factor k = 2) calculated from the weighted

mean were larger than one while the Birge ratio value was not consistent. Then, the weighted mean

was recomputed after zero weighting the results with the largest absolute En value; thereafter, the En

values were recomputed and the process repeated until the correspondent Birge ratio value was

consistent.

8. Measurement results

The following tables list the measurement results submitted by the participants according to the

different diameter standards and measurement locations. Each table shows the reported results, En

values (coverage factor k = 2), weighted means, the normalising factor C ,uint( wx ), uext( wx ) and Birge

ratio Rb. Further, each graph shows the reported results with their expanded uncertainties (k = 2).

The weighted mean is calculated as follows [2]:

n

1iii

w xWx

where

ix = each participant submitted a measured value that is a deviation from the nominal value

iW = the weight of each submitted value

)(i

2i

xu

1CW

where

)( ixu = the associated standard uncertainty of a measured value

and with the normalization factor C given by

S

xu

Cn

i i

1

))(

1(

1

1

2

The uncertainty of the weighted mean can be calculated as either the so-called internal or external

standard deviation, uint( wx ) and uext( wx ), respectively. The internal standard deviation is based on the

estimated uncertainty )( ixu reported by the participants; whereas the external standard deviation

depends on the spread of the actual results, ix , weighted by the uncertainties )( ixu :

C

xu

1

1xu

n

1i

2

i

w

))(

(

)(int



n

1ii

n

1i

2

wii

w

w

xxw

1n

1xu

)(

)()(

ext

The statistical consistency of each result with its associated uncertainty is calculated by En[3]:

2w2

i

wi

xx

xx

)(U)(U

E

int

n

When the result ix is not correlated to the weighted mean, the En is calculated by:

2w2

i

wi

xx

xx

)(U)(U

E

int

n

ixU the associated expanded uncertainty submitted by each participant

ww xukx intU

The absolute En value is expected to be not larger than 1 with a coverage factor k = 2.

The statistical consistency of a dataset can also be investigated by the so-called Birge ratio

Rb[2], which compares the spread of the results with the spread of the reported uncertainties.

)(

)(R

int

ext

b

w

w

xu

xu

For a coverage factor of k = 2, the dataset is consistent provided that

)1/(81Rb

n

where n is the number of laboratories. With 14,13,12 or 11 laboratories, the dataset is

consistent provided that Rb＜ 1.34, 1.35, 1.36, 1.38, respectively.

The En value (coverage factor k = 2) is calculated from the weighted mean. When the Birge ratio

value is not consistent, the weighted mean is recomputed after zero weighting the result with the

largest absolute En value; then, the En values are recomputed and the process is repeated until the

corresponding Birge ratio is consistent. The analysis of the results is shown in Tables 5 to 22, after the

review of the final report draft by all participants.

For each measurand, a set of two tables and a graph are shown.

The first table shows the measured deviation from the nominal value ix , the claimed standard

uncertainty )( ixu , the effective degrees of freedom veff , the claimed expanded uncertainty i

xU ,

En(k = 2) which is the first calculation of the En with all participants, and En* (k = 2) which is the final

calculation of the En when the correspondent Birge ratio is consistent.

The second table shows the result of each step during the En calculation process until the

correspondent Birge ratio is consistent. The results include the weighted mean, Birge ratio, and

laboratories excluded at each step.

The graph shows the initial weighted mean, the final weighted mean and each submitted value with

expanded uncertainty. The initial weighted mean, denoted by the dotted line, is calculated with all



submitted values from participants. The final weighted mean, represented by the solid line, is

calculated when the correspondent Birge ratio is consistent.



Table 5. Ring gauge 11.95 mm-up

Institute xi

(m)

u(xi)

(µm) veff

U(xi)

(µm) En(k = 2) En*(k = 2)

CMS/ITRI (Chinese Taipei) 0.43 0.133 173 0.27 0.18 -0.11

NMIJ/AIST (Japan) 0.16 0.0875 39.8 0.18 -1.17 -1.59

SCL (Hong Kong) 0.5 0.3 245 0.5 0.24 0.08

NMIA (Australia) 0.43 0.087 17 0.19 0.26 -0.15

MSL (New Zealand) 0.45 0.066 93 0.132 0.50 -0.06

NPL-I (India) 0.0 0.27 9 0.54 -0.70 -0.85

NMC/A*STAR (Singapore) -0.3 0.22 ∞ 0.5 -1.35 -1.51

Puslit KIM-LIPI (Indonesia) -0.99 0.144 133 0.29 -4.65 -4.91

VMI (Vietnam) 0.23 0.28 10.3 0.64 -0.23 -0.36

NIMT (Thailand) 0.27 0.075 ∞ 0.150 -0.69 -1.19

NML-SIRIM (Malaysia) 0.35 0.177 28427 0.35 -0.08 -0.31

NMISA (South Africa) 0.54 0.047 6676 0.14 1.08 0.54

KRISS (Korea) 0.53 0.064 132 0.13 1.08 0.50

NSCL (Syria) 0.24 0.58 ∞ 1.16 -0.12 -0.19

*: consistent subset of results judged by Rb(Birge ratio)

Weighted mean/µm 0.379 0.423 0.433 0.459

no. labs 14 13 12 11

C 6.39E-04 6.59E-04 6.68E-04 7.32E-04

S 1564.805 1516.579 1495.918 1365.306

wxuint

0.025 0.026 0.026 0.027

wxuext

0.080 0.045 0.039 0.033

Rb(Birge ratio) 3.16 1.742 1.522 1.218

Rb consistent limit 1.34 1.35 1.36 1.38

Lab excluded — Puslit KIM-LIPI Puslit KIM-LIPI,

NMC/A*STAR

Puslit KIM-LIPI, NMC/A*STAR,

NMIJ/AIST



Table 6. Ring gauge 11.95 mm-middle

Institute xi

(m)

u(xi)

(µm) veff

U(xi)

(µm) En(k = 2) En*(k = 2)

CMS/ITRI (Chinese Taipei) 0.49 0.133 173 0.27 0.25 0.05

NMIJ/AIST (Japan) 0.22 0.0875 39.8 0.18 -1.08 -1.38

SCL (Hong Kong) 0.6 0.3 300 0.5 0.35 0.24

NMIA (Australia) 0.56 0.087 17 0.19 0.70 0.42

MSL (New Zealand) 0.51 0.066 93 0.132 0.62 0.23

NPL-I (India) 0.1 0.27 9 0.54 -0.59 -0.70



VMI (Vietnam) 0.22 0.28 10.3 0.64 -0.31 -0.40

NIMT (Thailand) 0.37 0.075 ∞ 0.150 -0.33 -0.68



KRISS (Korea) 0.60 0.064 132 0.13 1.28 0.88

NSCL (Syria) 0.26 0.58 ∞ 1.16 -0.14 -0.19


Weighted mean/µm 0.422 0.467 0.478

no. labs 14 13 12

C 6.39E-04 6.59E-04 6.68E-04

S 1564.805 1516.579 1495.918

wxuint

0.025 0.026 0.026

wxuext

0.080 0.041 0.034

Rb(Birge ratio) 3.17 1.606 1.329

Rb consistent limit 1.34 1.35 1.36

Lab excluded — Puslit KIM-LIPI Puslit KIM-

LIPI,NMC/A*STAR



Table 7. Ring gauge 11.95 mm-low

Institute xi

(m)

u(xi)

(µm) veff

U(xi)

(µm) En(k = 2) En*(k = 2)


NMIJ/AIST (Japan) 0.10 0.0875 39.8 0.18 -1.25 -1.69

SCL (Hong Kong) 0.5 0.3 137 0.5 0.33 0.16

NMIA (Australia) 0.48 0.087 17 0.19 0.75 0.32

MSL (New Zealand) 0.40 0.066 93 0.132 0.48 -0.12

NPL-I (India) 0.1 0.27 9 0.54 -0.43 -0.58



VMI (Vietnam) 0.23 0.28 10.3 0.64 -0.16 -0.29

NIMT (Thailand) 0.27 0.075 ∞ 0.150 -0.40 -0.92

NML-SIRIM (Malaysia) 0.35 0.177 28427 0.35 0.05 -0.19


KRISS (Korea) 0.51 0.064 132 0.13 1.27 0.66

NSCL (Syria) 0.26 0.58 ∞ 1.16 -0.06 -0.14


Weighted mean/µm 0.333 0.379 0.390 0.417

no. labs 14 13 12 11

C 6.39E-04 6.59E-04 6.68E-04 7.324E-04

S 1564.805 1516.579 1495.918 1365.306

wxuint

0.025 0.026 0.026 0.027

wxuext

0.082 0.043 0.036 0.025

Rb(Birge ratio) 3.25 1.671 1.375 0.938


Lab excluded — Puslit KIM-LIPI Puslit KIM-

LIPI,NMC/A*STAR

Puslit KIM-

LIPI,NMC/A*STAR,NMIJ/AIST



Table 8. Ring gauge 50 mm-up

Institute xi

(m)

u(xi)

(µm) veff

U(xi)

(µm) En(k = 2) En*(k = 2)

CMS/ITRI (Chinese Taipei) -1.01 0.148 173 0.30 -0.35 -0.30

NMIJ/AIST (Japan) -0.96 0.0702 65.0 0.14 -0.37 -0.27

SCL (Hong Kong) -0.9 0.4 722 0.7 0.01 0.03

NMIA (Australia) -0.95 0.084 107 0.17 -0.26 -0.17

MSL (New Zealand) -1.06 0.084 180 0.166 -0.90 -0.80

NPL-I (India) -0.3 0.27 9 0.55 1.09 1.12



VMI (Vietnam) 0.36 0.31 11.2 0.71 1.78 1.80

NIMT (Thailand) -0.74 0.081 ∞ 0.162 0.96 1.05

NML-SIRIM (Malaysia) -0.56 0.177 217816 0.35 0.97 1.02

NMISA (South Africa) -0.93 0.047 6676 0.12 -0.20 -0.08

KRISS (Korea) -0.82 0.085 71 0.17 0.47 0.56

NSCL (Syria) -1.05 0.57 ∞ 1.14 -0.13 -0.11


Weighted mean/µm -0.904 -0.914 -0.920

no. labs 14 13 12

C 7.16E-04 7.22E-04 7.29E-04

S 1395.718 1385.312 1371.595

wxuint

0.027 0.027 0.027

wxuext

0.048 0.038 0.036

Rb(Birge ratio) 1.78 1.422 1.316


Lab excluded — VMI VMI, NPL-I



Table 9. Ring gauge 50 mm-middle

Institute xi

(m)

u(xi)

(µm) veff

U(xi)

(µm) En(k = 2) En*(k = 2)


NMIJ/AIST (Japan) -0.97 0.0702 65.0 0.14 -0.34 -0.04

SCL (Hong Kong) -1.0 0.4 719 0.7 -0.12 -0.05

NMIA (Australia) -1.02 0.084 107 0.17 -0.57 -0.31

MSL (New Zealand) -1.06 0.084 180 0.166 -0.81 -0.55

NPL-I (India) -0.4 0.27 9 0.55 0.94 1.02



VMI (Vietnam) 0.35 0.31 11.2 0.71 1.78 1.84

NIMT (Thailand) -0.73 0.081 ∞ 0.162 1.11 1.36


NMISA (South Africa) -0.93 0.047 6676 0.12 -0.08 0.26

KRISS (Korea) -0.83 0.085 71 0.17 0.50 0.75

NSCL (Syria) -1.08 0.57 ∞ 1.14 -0.14 -0.10


Weighted mean/µm -0.919 -0.929 -0.953 -0.964

no. labs 14 13 12 11

C 7.16E-04 7.22E-04 8.11E-04 8.33E-04

S 1395.718 1385.312 1232.896 1200.977

wxuint

0.027 0.027 0.028 0.029

wxuext

0.050 0.041 0.040 0.037

Rb(Birge ratio) 1.87 1.544 1.409 1.275


Lab excluded — VMI VMI, NIMT VMI, NIMT, NML-SIRIM



Table 10. Ring gauge 50 mm-low

Institute xi

(m)

u(xi)

(µm) veff

U(xi)

(µm) En(k = 2) En*(k = 2)


NMIJ/AIST (Japan) -1.02 0.0702 65.0 0.14 -0.26 0.15

SCL (Hong Kong) -1.0 0.4 719 0.7 -0.03 0.06

NMIA (Australia) -1.11 0.084 107 0.17 -0.72 -0.38

MSL (New Zealand) -1.11 0.084 180 0.166 -0.74 -0.39

NPL-I (India) -0.3 0.27 9 0.55 1.23 1.34



VMI (Vietnam) 0.33 0.31 11.2 0.71 1.84 1.93

NIMT (Thailand) -0.75 0.081 ∞ 0.162 1.36 1.70


NMISA (South Africa) -1.02 0.047 6676 0.12 -0.29 0.16

KRISS (Korea) -0.87 0.085 71 0.17 0.63 0.96

NSCL (Syria) -1.01 0.57 ∞ 1.14 -0.02 0.03

*: consistent subset of results judged by Rb (Birge ratio)

Weighted mean/µm -0.982 -0.991 -1.021 -1.029 -1.042

no. labs 14 13 12 11 10

C 7.16E-04 7.22E-04 8.11E-04 8.20E-04 8.42E-04

S 1395.718 1385.312 1232.896 1219.179 1187.259

wxuint

0.027 0.027 0.028 0.029 0.029

wxuext

0.056 0.043 0.045 0.041 0.036

Rb(Birge ratio) 2.07 1.617 1.594 1.440 1.226

Rb consistent limit 1.34 1.35 1.36 1.38 1.39

Lab excluded — VMI VMI, NIMT VMI, NIMT, NPL-I VMI, NIMT, NPL-I, NML-

SIRIM



Table 11. Plug gauge 3.465 mm-up

Institute xi

(m)

u(xi)

(µm) veff

U(xi)

(µm) En(k = 2) En*(k = 2)


NMIJ/AIST (Japan) -0.28 0.0850 103.6 0.17 -1.41 -1.32

SCL (Hong Kong) 0.0 0.2 1333 0.4 0.07 0.09

NMIA (Australia) 0.22 0.06 92 0.12 1.88 1.84

MSL (New Zealand) -0.09 0.065 87 0.129 -0.44 -0.36

NPL-I (India) -0.3 0.1 9 0.2 -1.31 -1.24

NMC/A*STAR (Singapore) 0.1 0.21 ∞ 0.4 0.32 0.34


VMI (Vietnam) -0.41 0.19 21.5 0.40 -0.95 -0.92

NIMT (Thailand) 0.02 0.116 ∞ 0.232 0.20 0.23

NML-SIRIM (Malaysia) -0.09 0.177 28336 0.35 -0.18 -0.15

NMISA (South Africa) only measured

at center NA NA NA NA NA

KRISS (Korea) 0.00 0.067 179 0.13 0.20 0.25

NSCL (Syria) -0.48 0.30 ∞ 0.60 -0.75 -0.73


Weighted mean/µm -0.028 -0.096 -0.067 -0.037

no. labs(without NMISA) 13 12 11 10

C 7.73E-04 9.84E-04 1.14E-03 1.29E-03

S 1293.736 1015.958 877.550 777.550

wxuint

0.028 0.031 0.034 0.036

wxuext

0.055 0.047 0.047 0.043

Rb(Birge ratio) 1.96 1.494 1.38 1.20


Lab excluded — NMIA NMIA,NMIJ/AIST NMIA,NMIJ/AIST,

NPL-I



Table 12. Plug gauge 3.465 mm-middle

Institute xi

(m)

u(xi)

(µm) veff

U(xi)

(µm) En(k = 2) En*(k = 2)


NMIJ/AIST (Japan) -0.30 0.0850 103.6 0.17 -1.12 -0.72

SCL (Hong Kong) -0.1 0.2 1264 0.4 0.00 0.17

NMIA (Australia) 0.16 0.06 92 0.12 1.98 2.44

MSL (New Zealand) -0.23 0.065 87 0.129 -0.92 -0.42

NPL-I(India) -0.3 0.1 9 0.2 -0.96 -0.62



VMI (Vietnam) -0.38 0.19 21.5 0.40 -0.69 -0.52

NIMT (Thailand) -0.05 0.116 ∞ 0.232 0.21 0.50

NML-SIRIM (Malaysia) -0.14 0.177 28336 0.35 -0.11 0.08

NMISA (South Africa) -0.1 0.19 21.7 0.39 0.00 0.18

KRISS (Korea) -0.04 0.067 179 0.13 0.43 0.90

NSCL (Syria) -0.55 0.30 ∞ 0.60 -0.75 -0.63


Weighted mean/µm -0.101 -0.170

no. labs 14 13

C 7.57E-04 9.58E-04

S 1321.436 1043.659

wxuint

0.028 0.031

wxuext

0.050 0.040

Rb(Birge ratio) 1.83 1.284

Rb consistent limit 1.34 1.35

Lab excluded — NMIA



Table 13. Plug gauge 3.465 mm-low

Institute xi

(m)

u(xi)

(µm) veff

U(xi)

(µm) En(k = 2) En*(k = 2)


NMIJ/AIST (Japan) -0.29 0.0850 103.6 0.17 -1.09 -0.74

SCL (Hong Kong) 0.0 0.2 1382 0.4 0.24 0.38

NMIA (Australia) 0.12 0.06 92 0.12 1.63 2.03

MSL (New Zealand) -0.20 0.065 87 0.129 -0.75 -0.31

NPL-I (India) -0.2 0.1 9 0.2 -0.51 -0.21



VMI (Vietnam) -0.43 0.19 21.5 0.40 -0.83 -0.68

NIMT (Thailand) -0.04 0.116 ∞ 0.232 0.23 0.48

NML-SIRIM (Malaysia) 0.09 0.177 28336 0.35 0.52 0.69

NMISA (South Africa) only measured

at center NA NA NA NA NA

KRISS (Korea) -0.09 0.067 179 0.13 0.04 0.45

NSCL (Syria) -0.51 0.30 ∞ 0.60 -0.69 -0.59



no. labs(without NMISA) 13 12

C 7.87E-04 1.01E-03

S 1270.549 992.771

wxuint

0.028 0.032

wxuext

0.048 0.041



Lab excluded — NMIA



Table 14. Plug gauge 24 mm-up(Group 1)

Institute xi

(m)

u(xi)

(µm) veff

U(xi)

(µm) En(k = 2) En*(k = 2)

CMS/ITRI (Chinese Taipei) 0.49 0.094 154 0.19 -0.33 -0.33

NMIJ/AIST (Japan) 0.39 0.0821 55.6 0.16 -0.99 -0.99

SCL (Hong Kong) 0.6 0.2 1538 0.4 0.11 0.11

NMIA (Australia) 0.67 0.072 33 0.15 0.73 0.73

MSL (New Zealand) 0.66 0.070 113 0.138 0.72 0.72

NPL-I (India) 0.5 0.1 9 0.2 -0.27 -0.27

NMC/A*STAR (Singapore) 0.2 0.22 ∞ 0.5 -0.71 -0.71

Puslit KIM-LIPI (Indonesia) 0.52 0.142 129 0.28 -0.12 -0.12

VMI (Vietnam) 0.32 0.21 22.1 0.45 -0.52 -0.52

NIMT (Thailand) 0.54 0.119 ∞ 0.238 -0.06 -0.06




Weighted mean/µm 0.555

no. labs 12

C 6.23E-04

S 1603.981

wxuint

0.025

wxuext

0.028

Rb(Birge ratio) 1.12

Rb consistent limit 1.36

Lab excluded —



Table 15. Plug gauge 24 mm-middle(Group 1)

Institute xi

(m)

u(xi)

(µm) veff

U(xi)

(µm) En(k = 2) En*(k = 2)

CMS/ITRI (Chinese Taipei) 0.28 0.094 154 0.19 -0.20 -0.20

NMIJ/AIST (Japan) 0.13 0.0821 55.6 0.16 -1.13 -1.13

SCL (Hong Kong) 0.4 0.2 1461 0.4 0.20 0.20

NMIA (Australia) 0.39 0.072 33 0.15 0.45 0.45

MSL (New Zealand) 0.44 0.070 113 0.138 0.83 0.83

NPL-I (India) 0.2 0.1 9 0.2 -0.58 -0.58


Puslit KIM-LIPI (Indonesia) 0.35 0.142 129 0.28 0.11 0.11

VMI (Vietnam) 0.31 0.21 22.1 0.45 -0.02 -0.02

NIMT (Thailand) 0.30 0.119 ∞ 0.238 -0.08 -0.08





no. labs 12

C 6.23E-04

S 1603.981

wxuint

0.025

wxuext

0.026



Lab excluded —



Table 16. Plug gauge 24 mm-low(Group 1)

Institute xi

(m)

u(xi)

(µm) veff

U(xi)

(µm) En(k = 2) En*(k = 2)

CMS/ITRI (Chinese Taipei) -0.11 0.094 154 0.19 -0.03 0.11

NMIJ/AIST (Japan) -0.22 0.0821 55.6 0.16 -0.69 -0.52

SCL (Hong Kong) 0.0 0.2 709 0.4 0.26 0.33

NMIA (Australia) -0.05 0.072 33 0.15 0.35 0.51

MSL (New Zealand) 0.08 0.070 113 0.138 1.26 1.43

NPL-I (India) -0.1 0.1 9 0.2 0.02 0.15


Puslit KIM-LIPI (Indonesia) 0.20 0.142 129 0.28 1.07 1.16

VMI (Vietnam) -0.08 0.21 22.1 0.45 0.06 0.11

NIMT (Thailand) 0.07 0.119 ∞ 0.238 0.72 0.83

NML-SIRIM (Malaysia) -0.12 0.177 28490 0.35 -0.04 0.03

NMISA (South Africa) -0.21 0.04 3539 0.12 -0.81 -0.59



no. labs 12 11

C 6.23E-04 7.14E-04

S 1603.981 1399.900

wxuint

0.025 0.027

wxuext

0.037 0.034



Lab excluded — MSL



Table 17. Plug gauge 24 mm-up(Group 2)

Institute xi

(m)

u(xi)

(µm) veff

U(xi)

(µm) En(k = 2) En*(k = 2)


NMIJ/AIST (Japan) 0.5 0.075 96.9 0.15 -0.65 -0.73

KRISS (Korea) 0.68 0.061 180 0.12 0.47 0.38

NSCL (Syria) 0.09 0.26 ∞ 0.52 -0.99 -1.02


Weighted mean/µm 0.611 0.625

no. labs 4 3

C 1.74E-03 1.79E-03

S 574.489 559.696

wxuint

0.042 0.042

wxuext

0.069 0.060



Lab excluded — NSCL



Table 18. Plug gauge 24 mm-middle(Group 2)

Institute xi

(m)

u(xi)

(µm) veff

U(xi)

(µm) En(k = 2) En*(k = 2)


NMIJ/AIST (Japan) 0.62 0.075 96.9 0.15 -0.66 -0.74

KRISS (Korea) 0.80 0.061 180 0.12 0.47 0.36

NSCL (Syria) 0.18 0.26 ∞ 0.52 -1.05 -1.08


Weighted mean/µm 0.732 0.747

no. labs 4 3

C 1.74E-03 1.79E-03

S 574.489 559.696

wxuint

0.042 0.042

wxuext

0.072 0.061



Lab excluded — NSCL



Table 19. Plug gauge 24 mm-low(Group 2)

Institute xi

(m)

u(xi)

(µm) veff

U(xi)

(µm) En(k = 2) En*(k = 2)


NMIJ/AIST (Japan) 0.70 0.075 96.9 0.15 -0.38 -0.38

KRISS (Korea) 0.81 0.061 180 0.12 0.31 0.31

NSCL (Syria) 0.16 0.26 ∞ 0.52 -1.15 -1.15



no. labs 4

C 1.74E-03

S 574.489

wxuint

0.042

wxuext

0.065



Lab excluded —



Table 20. Plug gauge 50 mm-up

Institute xi

(m)

u(xi)

(µm) veff

U(xi)

(µm) En(k = 2) En*(k = 2)


NMIJ/AIST (Japan) -0.05 0.0877 128.1 0.17 -1.66 -2.13

SCL (Hong Kong) 0.2 0.3 697 0.6 -0.07 -0.22

NMIA (Australia) 0.24 0.085 62 0.17 -0.02 -0.51

MSL (New Zealand) 0.18 0.084 180 0.166 -0.37 -0.87

NPL-I (India) -0.2 0.1 9 0.2 -2.15 -2.56


Puslit KIM-LIPI (Indonesia) 0.24 0.147 143 0.29 -0.01 -0.31

VMI (Vietnam) 0.18 0.24 22.9 0.51 -0.12 -0.30

NIMT (Thailand) 0.24 0.124 ∞ 0.248 -0.02 -0.36



KRISS (Korea) 0.25 0.10 103 0.21 0.03 -0.38

NSCL (Syria) -0.31 0.26 ∞ 0.52 -1.06 -1.23


Weighted mean/µm 0.244 0.275 0.308 0.332 0.340 0.332

no. labs 14 13 12 11 10 9

C 6.59E-04 7.06E-04 7.77E-04 8.30E-04 8.40E-04 8.497E-04

S 1516.526 1416.526 1286.509 1205.347 1190.554 1176.837

wxuint

0.026 0.027 0.028 0.029 0.029 0.029

wxuext

0.061 0.055 0.051 0.046 0.042 0.037

Rb(Birge ratio) 2.36 2.074 1.821 1.592 1.460 1.281

Rb consistent limit 1.34 1.35 1.36 1.38 1.39 1.414

Lab excluded — NPL-I NPL-I,

NMIJ/AIST

NPL-I, NMIJ/AIST,

CMS/ITRI

NPL-I, NMIJ/AIST,

CMS/ITRI, NSCL

NPL-I,NMIJ/AIST,CMS/ITRI,

NCSL,NMC/A*STAR



Table 21. Plug gauge 50 mm-middle

Institute xi

(m)

u(xi)

(µm) veff

U(xi)

(µm) En(k = 2) En*(k = 2)


NMIJ/AIST (Japan) -0.05 0.0877 128.1 0.17 -1.53 -1.96

SCL (Hong Kong) 0.2 0.3 697 0.6 -0.04 -0.17

NMIA (Australia) 0.23 0.085 62 0.17 0.05 -0.40

MSL (New Zealand) 0.25 0.084 180 0.166 0.16 -0.29

NPL-I (India) -0.2 0.1 9 0.2 -2.04 -2.41


Puslit KIM-LIPI (Indonesia) 0.26 0.147 143 0.29 0.13 -0.14

VMI (Vietnam) 0.20 0.24 22.9 0.51 -0.04 -0.20

NIMT (Thailand) 0.20 0.124 ∞ 0.248 -0.09 -0.40



KRISS (Korea) 0.32 0.10 103 0.21 0.46 0.08

NSCL (Syria) -0.35 0.26 ∞ 0.52 -1.09 -1.25


Weighted mean/µm 0.222 0.251 0.282 0.302

no. labs 14 13 12 11

C 6.59E-04 7.06E-04 7.77E-04 8.30E-04

S 1516.526 1416.526 1286.509 1205.347

wxuint

0.026 0.027 0.028 0.029

wxuext

0.052 0.045 0.038 0.033

Rb(Birge ratio) 2.01 1.676 1.372 1.155


Lab excluded — NPL-I NPL-I,

NMIJ/AIST

NPL-I, NMIJ/AIST,

CMS/ITRI



Table 22. Plug gauge 50 mm-low

Institute xi

(m)

u(xi)

(µm) veff

U(xi)

(µm) En(k = 2) En*(k = 2)


NMIJ/AIST (Japan) -0.17 0.0877 128.1 0.17 -1.60 -1.88

SCL (Hong Kong) 0.0 0.3 695 0.6 -0.19 -0.28

NMIA (Australia) 0.16 0.085 62 0.17 0.26 -0.04

MSL (New Zealand) 0.16 0.084 180 0.166 0.27 -0.04

NPL-I (India) -0.2 0.1 9 0.2 -1.52 -1.77


Puslit KIM-LIPI (Indonesia) 0.12 0.147 143 0.29 0.02 -0.16

VMI (Vietnam) 0.18 0.24 22.9 0.51 0.13 0.03

NIMT (Thailand) 0.12 0.124 ∞ 0.248 0.03 -0.18



KRISS (Korea) 0.21 0.10 103 0.21 0.45 0.20

NSCL (Syria) -0.40 0.26 ∞ 0.52 -0.98 -1.08


Weighted mean/µm 0.114 0.140 0.167

no. labs 14 13 12

C 6.59E-04 7.21E-04 7.77E-04

S 1516.526 1386.509 1286.509

wxuint

0.026 0.027 0.028

wxuext

0.045 0.032 0.034

Rb(Birge ratio) 1.75 1.185 1.20


Lab excluded — NMIJ/AIST NMIJ/AIST,

NPL-I



9. Conclusions

With 14 participants in this key comparison, a total of 15 parameters were measured on 5 diameter

standards. The measurement schedule was planned to last approximately 30 months; however, due

to some delays, was actually completed in 32 months. The delay of the diameter standards

circulation was partly due to custom operations. Nevertheless, measurement results have been

submitted by all NMIs despite some scratches of the diameter measuring sections being reported

during circulation. The repeated measurements by the pilot institute showed an acceptable stability

(i.e. control limit with 3 standard deviations) except for the 24 mm plug gauge (Mahr 020422).

The whole set of the En* values was recomputed from the weighted mean by zero weighting the

measurement results with the largest absolute En and repeating the process until the Birge ratio was

consistent. In this key comparison, some correspondent Birge ratios needed 2 or more steps to

achieve consistency, so a significant number of measurement results were excluded from the

calculation of the weighted means.

The following summary table lists all the En values obtained by all participants for all items and

the percentage of the absolute En value larger than 1.



11.95 mm ring gauge 50 mm ring gauge 3.465 mm plug gauge 24 mm plug

gauge(group 1)

24 mm plug

gauge(group 2) 50 mm plug gauge %∣En∣>1

Top Middle Bottom Top Middle Bottom Top Middle Bottom Top Middle Bottom Top Middle Bottom Top Middle Bottom

CMS/ITRI (Chinese Taipei) -0.11 0.05 0.12 -0.30 -0.15 -0.12 0.77 0.88 0.83 -0.33 -0.20 0.11 0.31 0.35 0.36 -1.61 -1.31 -1.08 17%

NMIJ/AIST (Japan) -1.59 -1.38 -1.69 -0.27 -0.04 0.15 -1.32 -0.72 -0.74 -0.99 -1.13 -0.52 -0.73 -0.74 -0.38 -2.13 -1.96 -1.88 44%

SCL (Hong Kong) 0.08 0.24 0.16 0.03 -0.05 0.06 0.09 0.17 0.38 0.11 0.20 0.33 －－－ -0.22 -0.17 -0.28 0%

NMIA (Australia) -0.15 0.42 0.32 -0.17 -0.31 -0.38 1.84 2.44 2.03 0.73 0.45 0.51 －－－ -0.51 -0.40 -0.04 20%

MSL (New Zealand) -0.06 0.23 -0.12 -0.8 -0.55 -0.39 -0.36 -0.42 -0.31 0.72 0.83 1.43 －－－ -0.87 -0.29 -0.04 0%

NPL-I (India) -0.85 -0.70 -0.58 1.12 1.02 1.34 -1.24 -0.62 -0.21 -0.27 -0.58 0.15 －－－ -2.56 -2.41 -1.77 47%

NMC/A*STAR (Singapore) -1.51 -1.55 -1.62 -0.96 -1.05 -1.09 0.34 -0.32 0.63 -0.71 0.36 0.46 －－－ 1.11 0.83 0.89 40%

Puslit KIM-LIPI (Indonesia) -4.91 -4.98 -5.18 -0.26 -0.59 -0.66 -0.40 -0.42 -0.70 -0.12 0.11 1.16 －－－ -0.31 -0.14 -0.16 27%

VMI (Vietnam) -0.36 -0.40 -0.29 1.80 1.84 1.93 -0.92 -0.52 -0.68 -0.52 -0.02 0.11 －－－ -0.30 -0.20 0.03 20%

NIMT (Thailand) -1.19 -0.68 -0.92 1.05 1.36 1.7 0.23 0.50 0.48 -0.06 -0.08 0.83 －－－ -0.36 -0.40 -0.18 27%

NML-SIRIM (Malaysia) -0.31 -0.28 -0.19 1.02 1.20 1.36 -0.15 0.08 0.69 -0.10 -0.11 0.03 －－－ -0.35 -0.06 -0.08 20%

NMISA (South Africa) 0.54 0.22 0.09 -0.08 0.26 0.16 － 0.18 － 0.11 0.01 -0.59 －－－ 0.84 0.42 0.38 0%

KRISS( Korea) 0.50 0.88 0.66 0.56 0.75 0.96 0.25 0.90 0.45 －－－ 0.38 0.36 0.31 -0.38 0.08 0.20 0%

NSCL (Syria) -0.19 -0.19 -0.14 -0.11 -0.10 0.03 -0.73 -0.63 -0.59 －－－ -1.02 -1.08 -1.15 -1.23 -1.25 -1.08 40%



10. Acknowledgement

Many thanks to Dr. Toshiyuki Takatsuji, Mr. Masami Horita and Mr. Tsuyoshi Hamakawa of

NMIJ for supplying the ring gauges and plug gauges, issuing the ATA Carnet, and assisting in the

artefacts transportation to all participants. Without NMIJ’s support, it is unlikely that the artefact

circulation would have been as close to the schedule as it was.

11. References

1. Guidelines for CIPM key comparisons, http://www.bipm.org/utils/en/pdf/guidelines.pdf.

2. CCL-K2, Calibration of long gauge blocks, Final Report, , Page 23-24, March 2003,

http://kcdb.bipm.org/appendixB/KCDB_ApB_result.asp?cmp_idy=202&cmp_cod=CCL%2D

K2&search=&cmp_cod_search=&page=&met_idy=&bra_idy=&epo_idy=&cmt_idy=&ett_idy

_org=&cou_cod=.

3. CCL-K4, The Calibration of internal and External Diameter Standards, Final Report, Page 19-

20, January 2007,

http://kcdb.bipm.org/appendixB/KCDB_ApB_result.asp?cmp_idy=205&cmp_cod=CCL%2D

K4%2Eb&search=&cmp_cod_search=&page=&met_idy=&bra_idy=&epo_idy=&cmt_idy=&

ett_idy_org=&cou_cod=.

4. EUROMET.L-K4, Calibration of diameter standards, Final Report for Group 1, Page13-14,

December 2009,

http://kcdb.bipm.org/appendixB/KCDB_ApB_result.asp?cmp_idy=722&cmp_cod=EUROME

T%2EL%2DK4%2E2005&search=&cmp_cod_search=&page=&met_idy=&bra_idy=&epo_id

y=&cmt_idy=&ett_idy_org=&cou_cod=.

http://www.bipm.org/utils/en/pdf/guidelines.pdf



Appendix A:Roundness plots of the diameter gauges

11.95 mm ring gauge-up, scale:50 nm 11.95 mm ring gauge-middle, scale:50 nm

Filtering:150 upr 2CR, RONt[MZCI]:0.06 µm Filtering:150 upr 2CR, RONt[MZCI]:0.05 µm

11.95 mm ring gauge-low, scale:50 nm 50 mm ring gauge-up, scale:50 nm


50 mm ring gauge-middle, scale:50 nm 50 mm ring gauge-low , scale:50 nm




3.465 mm plug gauge-up, scale:0.1 µm 3.465 mm plug gauge-middle, scale:0.1 µm


3.465 mm plug gauge-low, scale:0.1 µm 24 mm plug gauge-up(Mahr 020422),

Filtering:150 upr 2CR, RONt[MZCI]:0.24 µm scale:0.1 µm

Filtering:150 upr 2CR, RONt[MZCI]:0.29 µm

24 mm plug gauge-middle(Mahr 020422), 24 mm plug gauge-low(Mahr 020422) ,

scale:0.1 µm, scale:0.2 µm




24 mm plug gauge-up(Mahr 090212), 24 mm plug gauge-middle(Mahr 090212),

scale:0.1 µm scale:0.2 µm


24 mm plug gauge-low(Mahr 090212), 50 mm plug gauge-up, scale:0.2 µm

scale:0.2 µm Filtering:150 upr 2CR, RONt[MZCI]:0.32 µm

Filtering:150 upr 2CR, RONt[MZCI]:0.33 µm

50 mm plug gauge-middle, scale:0.1 µm 50 mm plug gauge-low, scale:0.2 µm


Documents

APMP L-K4 Key Comparison, - BIPM - BIPM · NML-SIRIM, Lot 4803, Bandar Baru Salak Tinggi, 43900 Sepang, Selangor, Malaysia. Bui Quoc Thu VMI, D Building, No 8 Hoang Quoc Viet Road,