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1 ЕВРО-АЗИАТСКОЕ СОТРУДНИЧЕСТВО ГОСУДАРСТВЕННЫХ МЕТРОЛОГИЧЕСКИХ УЧРЕЖДЕНИЙ (KOOMET) EURO-ASIAN COOPERATION OF NATIONAL METROLOGICAL INSTITUTIONS (COOMET) Report on RMO Supplementary Comparison COOMET.L-S9 COOMET 440/RU/08 International comparison of stabilized He-Ne/I 2 lasers at wavelength 633 nm FINAL REPORT by Konstantin Chekirda, VNIIM (RU) and Aydar Dauletbaev, KazInMetr (KZ) Vladimir Kupko, NSCIM (UA) Vladimir Makarevich, BelGIM (BY) Saint-Petersburg, Russia March 2015

The results of comparisons of stabilized He-Ne/I2 …...FINAL REPORT by Konstantin Chekirda, VNIIM (RU) and Aydar Dauletbaev, KazInMetr (KZ) Vladimir Kupko, NSCIM (UA) Vladimir Makarevich,

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Page 1: The results of comparisons of stabilized He-Ne/I2 …...FINAL REPORT by Konstantin Chekirda, VNIIM (RU) and Aydar Dauletbaev, KazInMetr (KZ) Vladimir Kupko, NSCIM (UA) Vladimir Makarevich,

1

ЕВРО-АЗИАТСКОЕ СОТРУДНИЧЕСТВО ГОСУДАРСТВЕННЫХ МЕТРОЛОГИЧЕСКИХ УЧРЕЖДЕНИЙ (KOOMET)

EURO-ASIAN COOPERATION OF NATIONAL METROLOGICAL INSTITUTIONS (COOMET)

Report on RMO Supplementary Comparison

COOMET.L-S9

COOMET 440/RU/08

International comparison of stabilized He-Ne/I2 lasers at wavelength 633 nm

FINAL REPORT

by

Konstantin Chekirda, VNIIM (RU)

and

Aydar Dauletbaev, KazInMetr (KZ)

Vladimir Kupko, NSCIM (UA)

Vladimir Makarevich, BelGIM (BY)

Saint-Petersburg, Russia

March 2015

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Comparison identifier: COOMET.L-S9

RMO Project identifier: COOMET 440/RU/08

Pilot laboratory: Scientific and research department of geometric measurements,

Federal state unitary enterprises "D.I. Mendeleev Institute for

Metrology" (VNIIM)

Saint-Petersburg

Russian Federation

Contact person: Konstantin Chekirda

VNIIM

Scientific and research department of geometric measurements

190005,

Russian Federation,

Saint-Petersburg,

Moscovsky pr. 19

Phone: 007 (812) 251-10-44

Fax: 007 (812) 323-96-64

E-mail: [email protected]

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INTRODUCTION

Comparisons of frequency stabilized He-Ne/I2 lasers, which may be used as frequency or length

standards, have been carried out in accordance with the heterodyne method, accepted by the

International Committee of Weights and Measures. The method includes measurement of the lasers’

frequency stability and frequency reproducibility.

Since He-Ne/I2 lasers can reproduce different frequencies depending on which peak of the iodine-

127 hyperfine structure the laser frequency is locked to, it was decided that, in order to assess the

frequency reproduction of these lasers, they would be operated in such a way as to select the

hyperfine components of the same group which approximately match the centre of the laser tube

emission line.

The results of the reproducibility assessment are presented as a 4×4 matrix, which gives the

opportunity to define the difference between frequencies reproduced by the lasers, and also to

estimate the frequency separation between the hyperfine components in each of the He-Ne/I2 lasers.

Each matrix element represents an average of three beat-frequency measurements with a 10 s

averaging time; diagonal elements of the matrix that correspond to both lasers locked to the same

peak were not measured.

The off-diagonal results form a matrix of 12 frequency values, corresponding to 6 pairs of laser

beat-frequencies values The half-difference of the corresponding laser’s beat-frequency values are

the deviation metric of the frequencies of two lasers relative to each other, and the average value of

these half-differences gives and integral assessment of the laser’s frequency difference over the

whole group of the hyperfine components of the group in the series of measurements. The mean-

square deviation of the matrix half-differences can serve to some extent as a metric related to the

influence of the curvature of the Doppler amplification contour of Ne.

The average of the whole series of measurements represents the examined lasers frequency

difference accuracy, and mean-square deviation of all series of measurements represents a metric of

the stabilized laser’s frequency reproduction.

In accordance with the method of frequency stability measurement, accepted in the International

Committee of Weights and Measures and other leading metrological centers of the world, the

frequency stability is estimated through the use of "Allan deviation", which is a function of

averaging time. The averaging time is usually chosen as follows: 1 s, 10 s, 100 s, etc., and the

standard number of measurements is normally 100, unless otherwise stated. Allan deviation is

denoted as <σ(2,т)> and usually presented graphically as a function of averaging time.

The frequency stability measurement of He-Ne/I2 lasers is carried out over any pair of components

of the defg hyperfine multiplet of iodine absorption line at the averaging time multiple of 10 s. 101

values of consequent readings of the frequency meter were registered in order to retrieve 100 pairs

of data for Allan deviation evaluation at the averaging time 10 s. Further a number of frequency

beats values is registered at the averaging time 100 s and etc. Data obtained at the averaging time τ

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can be used for Allan deviation evaluation at the interim averaging time values (2τ, 3τ etc.) at the

corresponding reduction of number of measurement pairs.

The results of the frequency stability research are usually presented graphically, where Allan

deviation is shown related to the averaging time or, less frequently, in a tabulated form.

1. DETAILS OF PARTICIPANTS

The project goal was to confirm the declared measuring capabilities of these frequencies and to

determine degree of equivalence of the national length measurement standards of the participating

countries.

№ COUNTRY / NMI CONTACT PERSON / ADDRESS

1 Russian Federation (Pilot NMI)

Federal state unitary enterprises

"D.I. Mendeleev Institute for

Metrology" (VNIIM)

Konstantin Chekirda

Scientific and research department of geometric

measurements

Moscovsky pr. 19, Saint-Petersburg, Russian

Federation, 190005

Phone: 007 (812) 251-10-44

Fax: 007 (812) 323-96-64

E-mail: [email protected]

2 Ukraine

National Scientific Centre "Institute

of Metrology" (NSC IM)

Vladimir Kupko

Scientific Centre of Space-Time Measurements

Mironositskaya str., 42, Kharkov, Ukraine, 61002

Phone: 0038 (057) 704-98-54

Fax: 0038 (057) 700-34-47

E-mail: [email protected]

3 Belarus

Republican Unitary Enterprise

"Belorussian State Institute of

Metrology" (BelGIM)

Vladimir Makarevich

Production and research department of geometric

quantities measurements

Starovilensky trakt, 93, Minsk, Belarus, 220053

Phone: 00375 (17) 233-35-82

Fax: 00375 (17) 288-09-38

E-mail: [email protected]

4 Kazakhstan

Republican governmental

enterprise "Kazakhstan Institute of

Metrology" (KazInMetr)

Aydar Dauletbaev

Left bank of the River Ishim, Orynbor Str., 11, Astana,

Kazakhstan, 010000

Phone: 007 (172) 79-33-63

E-mail: [email protected]

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2. ORGANIZATION OF THE COMPARISON

2.1 The comparison objective is to determine the degree of equivalence of national measurement

standards.

2.2 The Comparison format was a circular comparison

2.3 Comparison dates

The lasers of the national institutes have been delivered to the "D.I. Mendeleev Institute for

Metrology" during the period from June 2009 to September 2011 in order to take part in COOMET

comparisons project 440. The comparisons of the lasers frequencies were carried out in accordance

with the comparison’s technical protocol.

3. MEASUREMENT PROCEDURE

3.1 Measurement conditions:

– Environmental temperature, °С 20 ± 0,5;

– Atmosphere absolute pressure, mm Hg 760 ± 30;

– Atmospheric relative humidity, RH % 60 ± 20.

3.2 Measurements of the He-Ne/I2 lasers’ frequency reproduction

Frequency reproduction measurements were carried out over a period of several days with several

series of measurements each day.

During the frequency reproduction investigations of the He-Ne/I2 lasers the influence variables were

maintained within the values, defined by the international specification:

- temperature of the iodine cell cold finger (15 ± 0,2) °С,

- temperature of cell walls in the cavity (25 ± 5) °С,

- optical frequency modulation width (6 ± 0,3) MHz,

- radiation power in the cavity (10 ± 5) mW.

Three values of frequency beats were recorded at the averaging time 10 s.

The results of the frequency reproducibility assessment are presented as a 4×4 matrix, of which

elements on the main diagonal that relate to both lasers being adjustment to operate on the same

peaks, are not registered. The half-differences of beat-frequency values of lasers were estimated.

The mean value of half-differences of the corresponding beat-frequency values of lasers was

estimated. The mean-square deviation of the matrix half-differences was estimated. The average

over all series of measurements is calculated. The root mean-square deviation of all series of

measurements is estimated.

3.3 Measurement of frequency stability (wavelength) of the laser

The consecutive "n" values of the frequency meter's indications were registered in order to obtain

"n-1" data pairs for Allan deviation evaluation at the averaging time 10 s.

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Analytically, Allan deviation can be set out as:

where <σ (2,τ)> is the Allan deviation,

τ is the averaging time,

n is the number of measurement pairs,

vi+1 and vi are consecutive beat-frequency values.

Accumulation was carried out over all frequency beat values.

The results of the frequency stability investigations are presented graphically, where Allan deviation

is shown related to the averaging time and also in a tabulated form.

4 MEASUREMENT RESULTS SUMMARY

A summary of the overall results is given in the following table. The detailed results for each pair of

laser comparisons are given in the appendix.

Compared lasers Frequency

difference, kHz

Root-Mean-square

deviation of

frequency

difference, kHz

Allan Deviation

VNIIM02-BelGIM

(The Republic of

Belarus, Minsk)

+3,0 0,9 5,72.10

-12 at =10 s

1,64.10

-12 at =160 s

VNIIM02-

KazInMetr

(The Republic of

Kazakhstan,

Astana)

– 0,6 1,2 3,77.10

-12 at =10 s

1,05.10

-12 at =160 s

VNIIM02-

NSC IM (Ukraine,

Kharkov)

+12,5 4,5 5,15.10

-12 at =10 s

2,83.10

-12 at =128 s

< (2,)>1

2n1

n

i

i 1 i 2

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Appendix 1

Report on comparison of lasers VNIIM02 - BelGIM

VNIIM (Russian Federation) laser - He-Ne/I2 laser VNIIM02.

The laser is one of those used as State primary standard of the length unit. The laser participated in

the CCL-K11 comparisons. The frequency value 473 612 353 603.6 kHz, is given in the BIPM

certificate №8.

BelGIM (The Republic of Belarus) laser - He-Ne/I2 laser BelGIM.

The laser is one of those used as the national standard of the length unit of Belarus.

VNIIM02 laser specifications

Parameter description Value

Wavelength, μm 0,633

Cavity length, mm 330

Reflectors transmittivity, % 1,1; 1,1

Radius of curvature of reflectors, mm 1000; 1500

Length of active element, mm 210

Manufacturer VNIIM (Russian Federation)

Iodine cell length, mm 100

Manufacturer BIPM

BelGIM laser specifications

Parameter description Value

Wavelength, μm 0,633

Cavity length, mm 330

Reflectors transmittivity, % 1,0: 1,0

Radius of curvature of reflectors, mm 1000; 1500

Length of active element, mm 210

Manufacturer VNIIM (Russian Federation)

Iodine cell length, mm 100

Manufacturer BIPM

Measurement conditions:

Environmental temperature, °С 20±1

Atmosphere relative humidity, % 60±20

Environmental temperature variability per hour less than or equal to, ºС 0,2

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Date: 21 July 2009

Time: 14:20

Lasers comparisons

№1 VNIIM

№2 BelGIM

№1 №2

Iodine cell appendix temperature, °С 15,0 15,0

Laser radiation power, μW 85 90

=30 s

f1 to f3 are the three repeated measurements of beat-frequency half-differences (MHz), fср is the

mean of these three values (MHz), is the standard deviation of the three values, and f is the

frequency difference between the two lasers.

№1/№2 d e f g

d

f1=12,8660

f2=12,8665

f3=12,8671

fср=12,8662

=0,5 kHz

f=+2,1 kHz

f1

f2

f3

fср

=0,7 kHz

f=+4,1 kHz

f1=39,4309

f2=39,4315

f3=39,4295

fср=39,4306

=1,0 kHz

f=+2,6 kHz

e

f1

f2

f3

fср=12,8619

=0,4 kHz

f1

f2

f3

fср=13,3659

=0,8 kHz

f=+2,5 kHz

f1

f2

f3

fср=26,5663

=1,2 kHz

f=+2,7 kHz

f

f1

f2

f3

fср=26,2238

=0,9 kHz

f1

f2

f3

fср=13,3608

=0,9 kHz

f1

f2

f3

fср=13,2020

=1,3 kHz

f=+3,2 kHz

g

f1

f2

f3

fср=39,4253

=0,6 kHz

f1

f2

f3

fср=26,5610

=1,1 kHz

f1

f2

f3

fср=13,1956

=0,9 kHz

Overall mean frequency difference, f(№1) – f(№2) = + 2,8 kHz

Overall mean standard deviation of frequency differences, = 0,7 kHz

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Date: 23 July 2009

Time: 11:30

Lasers comparison

№1 VNIIM

№2 BelGIM

№1 №2

Iodine cell appendix temperature, °С 15,1 15,0

Laser radiation power, μW 85 90

=30 s

f1 to f3 are the three repeated measurements of beat-frequency half-differences (MHz), fср is the

mean of these three values (MHz), is the standard deviation of the three values, and f is the

frequency difference between the two lasers.

№1/№2 d e f g

d

f1=12,8672

f2=12,8683

f3=12,8663

fср=12,8672

=1,0 kHz

f=+2,6 kHz

f1=26,2315

f2=26,2333

f3=26,2338

fср=26,2328

=1,2 kHz

f=+4,9 kHz

f1=39,4318

f2=39,4321

f3=39,4303

fср=39,4314

=0,9 kHz

f=+2,6 kHz

e

f1=12,8623

f2=12,8608

f3=12,8626

fср=12,8619

=0,9 kHz

f1=13,3671

f2=13,3669

f3=13,3645

fср=13,3659

=+1,4 kHz

f=3,1 kHz

f1=26,5674

f2=26,5676

f3=26,5648

fср=26,5666

=+1,6 kHz

f=2,4 kHz

f

f1=26,2228

f2=26,2223

f3=26,2241

fср=26,2230

=0,9 kHz

f1=13,3600

f2=13,3607

f3=13,3585

fср=13,3596

=1,0 kHz

f1=13,2012

f2=13,2010

f3=13,2021

fср=13,2014

=0,6 kHz

f=+2,5 kHz

g

f1=39,4255

f2=39,4253

f3=39,4278

fср=39,4262

=1,3 kHz

f1=26,5618

f2=26,5611

f3=26,5627

fср=26,5618

=0,8 kHz

f1=13,1958

f2=13,1972

f3=13,1960

fср=13,1963

=0,8 kHz

Overall mean frequency difference, f(№1) – f(№2) = + 3,0 kHz

Overall mean standard deviation of frequency differences, = 1,0 kHz

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Date: 24 July 2009

Time: 10:30

Lasers comparison

№1 VNIIM

№2 BelGIM

№1 №2

Iodine cell appendix temperature, °С 15,0 15,0

Laser radiation power, μW 85 90

=30 s

f1 to f3 are the three repeated measurements of beat-frequency half-differences (MHz), fср is the

mean of these three values (MHz), is the standard deviation of the three values, and f is the

frequency difference between the two lasers.

№1/№2 d e f g

d

f1=12,8653

f2=12,8655

f3=12,8675

fср=12,8661

=1,2 kHz

f=+2,2 kHz

f1=26,2325

f2=26,2337

f3=26,23110

fср=26,2324

=1,3 kHz

f=+4,4 kHz

f1=39,4318

f2=39,4323

f3=39,4327

fср=39,4322

=0,4 kHz

f=+3,7 kHz

e

f1=12,8613

f2=12,8631

f3=12,8607

fср=12,8617

=1,2 kHz

f1=13,3679

f2=13,3649

f3=13,3651

fср=13,3660

=2,0 kHz

f=+2,5 kHz

f1=26,5665

f2=26,5680

f3=26,5676

fср=26,5673

=0,8 kHz

f=+3,7 kHz

f

f1=26,2230

f2=26,2229

f3=26,2248

fср=26,2235

=1,1 kHz

f1=13,3627

f2=13,3600

f3=13,3633

fср=13,3620

=1,7 kHz

f1=13,2025

f2=13,2016

f3=13,2039

fср=13,2027

=1,1 kHz

f=+3,2 kHz

g

f1=39,4245

f2=39,4233

f3=39,4268

fср=39,4248

=1,7 kHz

f1=26,5595

f2=26,5591

f3=26,5611

fср=26,5599

=1,0 kHz

f1=13,1947

f2=13,1972

f3=13,1968

fср=13,1962

=1,3 kHz

Overall mean frequency difference, f(№1) – f(№2) = + 3,3 kHz

Overall mean standard deviation of frequency differences, = 0,8 kHz

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Date: 24 July 2009

Time: 14:30

Allan deviation

Tau/s Allan Deviation

10 5,7213084×10-12

20 4,1117394×10-12

40 2,6484139×10-12

80 1,6494879×10-12

160 6,9892652×10-13

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Appendix 2

Report on comparison of lasers VNIIM02 - KazInMetr

VNIIM (Russian Federation) laser - He-Ne/I2 laser VNIIM02.

The laser is one of those used as the State primary standard of the length unit. The laser participated

in the CCL-K11 comparisons. The frequency value 473 612 353 603.6 kHz, is given in BIPM

certificate № 8.

KazInMetr (The Republic of Kazakhstan) laser - He-Ne/I2 laser Winters-100, №227. The laser is

one of those used as the State primary standard of the length unit of the Republic of Kazakhstan.

VNIIM02 laser specifications

Parameter description Value

Wavelength, μm 0,633

Cavity length, mm 330

Reflectors transmittivity, % 1,1; 1,1

Radius of curvature of reflectors, mm 1000; 1500

Length of active element, mm 210

Manufacturer VNIIM (Russian Federation)

Iodine cell length, mm 100

Manufacturer BIPM

KazInMetr laser specification (Winters – 100, № 227)

Parameter description Value

Wavelength, μm 0,633

Cavity length, mm 265

Reflectors transmittivity, % front (outlet) 0,7 %, rear-end 0,25 %

Radius of curvature of reflectors, mm front (outlet) 300, rear-end plane

Length of active element, mm 155

Manufacturer Winters Electro-Optics, Inc (USA)

Iodine cell length, mm 100

Manufacturer BIPM

Measurement conditions:

Environmental temperature, °С 20 ± 1

Atmosphere relative humidity, % 60 ± 20

Environmental temperature variability per hour less than or equal to, °С 0,2

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Date: 18 November 2009

Time: 16:30

Lasers comparison

№1 VNIIM

№2 KazInMetr

№1 №2

Iodine cell appendix temperature, С 15,0 15,0

Laser radiation power, μW 103 101

=30 s

f1 to f3 are the three repeated measurements of beat-frequency half-differences (MHz), fср is the

mean of these three values (MHz), is the standard deviation of the three values, and f is the

frequency difference between the two lasers.

№1/№2 d e f g

d

f1=12,8610

f2=12,8585

f3=12,8593

fср=12,8596

=1,3 kHz

f=+2,8 kHz

f1=26,2204

f2=26,2212

f3=26,2199

fср=26,2205

=0,6 kHz

f=+3,0 kHz

f1=39,4205

f2=39,4187

f3=39,4200

fср=39,4197

=0,9 kHz

f=+2,1 kHz

e

f1=12,8646

f2=12,8655

f3=12,8660

fср=12,8654

=0,7 kHz

f1=13,3620

f2=13,3640

f3=13,3606

fср=13,3622

=1,7 kHz

f=+0,6 kHz

f1=26,5600

f2=26,5607

f3=26,5613

fср=26,5607

=0,6 kHz

f=-0,1 kHz

f

f1=26,2271

f2=26,2264

f3=26,2259

fср=26,2265

=0,6 kHz

f1=13,3625

f2=13,3638

f3=13,3639

fср=13,3634

=0,8 kHz

f1=13,1989

f2=13,1989

f3=13,2004

fср=13,1994

=0,9 kHz

f=+-1,3 kHz

g

f1=39,4233

f2=39,4228

f3=39,4258

fср=39,4240

=1,6 kHz

f1=26,5604

f2=26,5595

f3=26,5616

fср=26,5605

=1,0 kHz

f1=13,1992

f2=13,1957

f3=13,1955

fср=13,1968

=2,0 kHz

Overall mean frequency difference, f(№1) – f(№2) = + 1,2 kHz

Overall mean standard deviation of frequency differences, = 1,0 kHz

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14

Date: 19 November 2009

Time: 11:15

Lasers Comparison

№1 VNIIM

№2 KazInMetr

№1 №2

Iodine cell appendix temperature, °С 15,1 15,0

Laser radiation power, μW 103 101

=30 s

f1 to f3 are the three repeated measurements of beat-frequency half-differences (MHz), fср is the

mean of these three values (MHz), is the standard deviation of the three values, and f is the

frequency difference between the two lasers.

№1/№2 d e f g

d

f1=12,8629

f2=12,8641

f3=12,8657

fср=12,8642

=1,4 kHz

f=-0,5 kHz

f1=26,2277

f2=26,2276

f3=26,2260

fср=26,2271

=0,9 kHz

f=-0,2 kHz

f1=39,4274

f2=39,4265

f3=39,4280

fср=39,4273

=0,8 kHz

f=-0,9 kHz

e

f1=12,8643

f2=12,8624

f3=12,8629

fср=12,8632

=1,0 kHz

f1=13,3633

f2=13,3652

f3=13,3648

fср=13,3644

=1,0 kHz

f=-2,2 kHz

f1=26,5679

f2=26,5695

f3=26,5681

fср=26,5685

=0,9 kHz

f=-0,8 kHz

f

f1=26,2270

f2=26,2261

f3=26,2271

fср=26,2267

=0,6 kHz

f1=13,3601

f2=13,3598

f3=13,3600

fср=13,3600

=0,2 kHz

f1=13,2067

f2=13,2015

f3=13,2035

fср=13,2039

=2,6 kHz

f=-5,2 kHz

g

f1=39,4262

f2=39,4246

f3=39,4257

fср=39,4255

=0,8 kHz

f1=26,5574

f2=26,5567

f3=26,5562

fср=26,5668

=0,6 kHz

f1=13,1929

f2=13,1948

f3=13,1925

fср=13,1934

=1,2 kHz

Overall mean frequency difference, f(№1) – f(№2) = -1,6 kHz

Overall mean standard deviation of frequency differences, = 1,3 kHz

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15

Date: 24 November 2009

Time: 10:30

Lasers comparison

№1 VNIIM

№2 KazInMetr

№1 №2

Iodine cell appendix temperature, °С 15,0 15,0

Laser radiation power, μW 103 101

=30 s

f1 to f3 are the three repeated measurements of beat-frequency half-differences (MHz), fср is the

mean of these three values (MHz), is the standard deviation of the three values, and f is the

frequency difference between the two lasers.

№1/№2 d e f g

d

f1=12,8652

f2=12,8615

f3=12,8657

fср=12,8641

=2,3 kHz

f=-0,1 kHz

f1=26,2278

f1=26,2252

f3=26,2288

fср=26,2273

=1,8 kHz

f=+0,9 kHz

f1

f1

f3

fср

=0,9 kHz

f=-0,3 kHz

e

f1=12,8638

f2=12,8636

f3=12,8642

fср=12,8639

=0,3 kHz

f1=13,3658

f2=13,3653

f3=13,3660

fср=13,3657

=0,4 kHz

f=-2,9 kHz

f1=26,5642

f2=26,5646

f3=26,5656

fср=26,5648

=0,7 kHz

f=-3,4 kHz

f

f1=26,2305

f2=26,2289

f3=26,2282

fср=26,2292

=1,2 kHz

f1=13,3602

f2=13,3597

f3=13,3599

fср=13,3599

=0,3 kHz

f1=13,2035

f2=13,2015

f3=13,2029

fср=13,2026

=1,0 kHz

f=-3,3 kHz

g

f1=39,4251

f2=39,4256

f3=39,4249

fср=39,4252

=0,4 kHz

f1=26,5569

f2=26,5574

f3=26,5595

fср=26,5579

=1,3 kHz

f1=13,1958

f2=13,1967

f3=13,1954

fср=13,1960

=0,7 kHz

Overall mean frequency difference, f(№1) – f(№2) = -1,5 kHz

Overall mean standard deviation of frequency differences, = 1,2 kHz

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Date: 19 November 2009

Time: 14:30

Allan deviation

Tau/s Allan Deviation

10 3.7785004×10-12

20 2.6377512×10-12

40 1.9370340×10-12

80 1.2787984×10-12

160 1.0481870×10-12

320 4.8244407×10-13

Allan Dev Lower Bound Upper Bound

Allan STD DEV

Produced by AlaVar 5.2

s 1 10

3,8E-12

2,6E-12

1,9E-12

1,3E-12

1E-12

4,8E-13

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Appendix 3

Report on comparison of lasers VNIIM02 - NSC «Institute of Metrology»

VNIIM (Russian Federation) laser - He-Ne/I2 laser VNIIM02.

The laser is one of those used as the State primary standard of the length unit. The laser participated

in the CCL-K11 comparisons. The frequency value 473 612 353 603.6 kHz, is given in BIPM

certificate № 8.

NSC «Institute of Metrology» - He-Ne/I2 laser.

The laser is one of those used as the State primary standard of the length unit of the Ukraine.

VNIIM02 laser specifications

Parameter description Value

Wavelength, μm 0,633

Cavity length, mm 330

Reflectors transmittivity, % 1,1; 1,1

Radius of curvature of reflectors, mm 1000; 1500

Length of active element, mm 210

Manufacturer VNIIM (Russian Federation)

Iodine cell length, mm 100

Manufacturer BIPM

NSC «Institute of Metrology» laser specification

Parameter description Value

Wavelength, μm 0,633

Cavity length, mm 250

Reflectors transmittivity, % 0,2: 1,5

Radius of curvature of reflectors, mm 509: 509

Length of active element, mm 138

Manufacturer Ukraine

Iodine cell length, mm 65

Manufacturer Ukraine

Measurement conditions:

Environmental temperature, °С 20 ± 1

Atmosphere relative humidity, % 60 ± 20

Environmental temperature variability per hour less than or equal to, °С 0,2

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Date: 22 September 2011

MEASUREMENT PROTOCOL Lasers comparison

№1 VNIIM

№2 NSC «Institute of Metrology»

Place

"D.I. Mendeleev Institute for Metrology" (VNIIM), Saint-Petersburg.

Measurement conditions

Environmental temperature 19,5 ºС.

Atmosphere relative humidity 54 %.

Atmospheric pressure 1002,8 hPa.

Lasers frequency measurement results

№ 1 – VNIIM laser

№ 2 – NSC IM laser (Ukraine, Kharkov)

Table 1. δf is the frequency difference between the two lasers is the standard deviation of the

frequency differences.

№ 1

№ 2 d e f g

d

12882 kHz

12874 kHz

12873 kHz

12874 kHz

12878 kHz

δf=14,0 kHz

=3,8 kHz

26236 kHz

26231 kHz

26240 kHz

26236 kHz

26237 kHz

δf=12,0 kHz

=3,2 kHz

39434 kHz

39427 kHz

39426 kHz

39432 kHz

39433 kHz

δf=10,5 kHz

=3,6 kHz

e

12836 kHz

12850 kHz

12855 kHz

12864 kHz

12836 kHz

13372 kHz

13377 kHz

13370 kHz

13370 kHz

13380 kHz

δf=12,5 kHz

=4,5 kHz

26582 kHz

26568 kHz

26564 kHz

26566 kHz

26571 kHz

δf=13,5 kHz

=7,1 kHz

f

26210 kHz

26216 kHz

26213 kHz

26215 kHz

26208 kHz

13345 kHz

13348 kHz

13356 kHz

13351 kHz

13346 kHz

13212 kHz

13209 kHz

13210 kHz

13221 kHz

13210 kHz

δf=13,0 kHz

=4,9 kHz

g

39410 kHz

39413 kHz

39409 kHz

39407 kHz

39408 kHz

26537 kHz

26549 kHz

26547 kHz

26543 kHz

26540 kHz

13190 kHz

13185 kHz

13185 kHz

13183 kHz

13182 kHz

Mean value of all δf values, Δfср= + 12,6 kHz

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Mean of all standard deviation values, ср = 4,5 kHz

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Date: 22 September 2011

MEASUREMENT PROTOCOL

Allan deviation

VNIIM2 laser

NSC «Institute of Metrology» laser

Tau/s Allan Deviation

1 1.0034061×10-11

2 7.0773610×10-12

4 5.7062042×10-12

8 5.1481672×10-12

16 5.2388175×10-12

32 3.5696095×10-12

64 2.4040999×10-12

128 2.8337016×10-12

Allan Dev. Lower Bound Upper Bound

Allan STD DEV

Produced by AlaVar 5.2

s 1 10 100

1E-12

1E-11