From 8e34a94e73262666edabb202c62f781a58fd44b6 Mon Sep 17 00:00:00 2001 From: anermina <55683568+anermina@users.noreply.github.com> Date: Wed, 19 Oct 2022 22:38:03 +0200 Subject: [PATCH 1/3] Create README.adoc --- sources/rec-values/reference-docs/README.adoc | 3 +++ 1 file changed, 3 insertions(+) create mode 100644 sources/rec-values/reference-docs/README.adoc diff --git a/sources/rec-values/reference-docs/README.adoc b/sources/rec-values/reference-docs/README.adoc new file mode 100644 index 00000000..3b042845 --- /dev/null +++ b/sources/rec-values/reference-docs/README.adoc @@ -0,0 +1,3 @@ +Files available in this directory were downloaded from +https://www.bipm.org/en/publications/mises-en-pratique/standard-frequencies?version=1.4&t=1637238077933&download=true +on 19th October 2022. From 07ed2537932eff36c6274c68190b2d4702616257 Mon Sep 17 00:00:00 2001 From: anermina <55683568+anermina@users.noreply.github.com> Date: Wed, 19 Oct 2022 22:43:18 +0200 Subject: [PATCH 2/3] Add reference Recommended values documents --- .../reference-docs/115In+_1267THz_2021.pdf | Bin 0 -> 293755 bytes .../reference-docs/127I2_531nm_2015.pdf | Bin 0 -> 77075 bytes .../reference-docs/171Yb+_642THz_2021.pdf | Bin 0 -> 296479 bytes .../reference-docs/171Yb+_688THz_2021.pdf | Bin 0 -> 295753 bytes .../reference-docs/171Yb_518THz_2021.pdf | Bin 0 -> 296048 bytes .../reference-docs/199Hg+_1065THz_2021.pdf | Bin 0 -> 295352 bytes .../reference-docs/199Hg_1129THz_2021.pdf | Bin 0 -> 295206 bytes .../reference-docs/27Al+_1121THz_2021.pdf | Bin 0 -> 294635 bytes .../reference-docs/40Ca+_411THz_2021.pdf | Bin 0 -> 293656 bytes .../reference-docs/87Rb_6.835GHz_2021.pdf | Bin 0 -> 251395 bytes .../reference-docs/87Rb_780nm_2015.pdf | Bin 0 -> 79106 bytes .../reference-docs/87Sr_429THz_2021.pdf | 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zke~zMUz7@btg2hD!V@`MgDjnZQV$dM?8%9j;bUS{jmY#Z7PYlT;d|KTW($UD6C1hh zgg##`pvPCxTGAh9kCHg|Rco2Q<@$h|^Fn;dtCrI3eI@4b7M1p?NUgk{lUJn6bkP2` zn$4nlgfq*TA=Jn5qG^6}NT`luM55EJg2c}?9r^eChZrIZjdb%PpxO=?nQT8`q02z$1vCIDM5yuG89p=oK604hO_tCgf*BYegjrt z`4=#)>@NBW)A}st-!heB;D!`%QBj5{m`Usu%=D1`Vj9 z(P&i-O{@%n)Q~}_$|@Yu6nb*;nwJQjW8|etQutq?@tx~o>TwG2A1OgrX zE-kHsMGidZLvmzc`M#tOb@vPH6M|{ z?ca0&*(zA+;Sj*(Bf_WxLf6T@QTi9qfq!6AsD2cZBPTloA;ZZoF0Oe%i Date: Wed, 19 Oct 2022 22:46:54 +0200 Subject: [PATCH 3/3] Update rec-values to their current versions --- .../mep-wgfs-nm237-115In_1267THz.adoc | 73 +++--- .../rec-values/mep-wgfs-nm243-H_1233THz.adoc | 36 +-- .../mep-wgfs-nm266-199Hg_1129THz.adoc | 211 ++++-------------- .../mep-wgfs-nm267-27Al_1121THz.adoc | 73 +++--- .../mep-wgfs-nm282-199Hg_1065THz.adoc | 69 ++++-- .../mep-wgfs-nm436-171Yb_688THz.adoc | 75 ++++--- .../mep-wgfs-nm467-171Yb_642THz.adoc | 75 ++++--- sources/rec-values/mep-wgfs-nm515-I2.adoc | 93 +++++--- 8 files changed, 355 insertions(+), 350 deletions(-) diff --git a/sources/rec-values/mep-wgfs-nm237-115In_1267THz.adoc b/sources/rec-values/mep-wgfs-nm237-115In_1267THz.adoc index c200f06a..53ba9452 100644 --- a/sources/rec-values/mep-wgfs-nm237-115In_1267THz.adoc +++ b/sources/rec-values/mep-wgfs-nm237-115In_1267THz.adoc @@ -2,7 +2,7 @@ :appendix-id: 2 :partnumber: 2.1 :edition: 9 -:copyright-year: 2017 +:copyright-year: 2019 :language: en :docnumber: SI MEP M REC 1267THz :title-appendix-en: Recommended values of standard frequencies for applications including the practical realization of the metre and secondary representations of the second @@ -10,14 +10,14 @@ :title-part-en: Indium 115 Ion (stem:[f ~~ 1267 "unitsml(THz)"]) :title-part-fr: Indium 115 Ion (stem:[f ~~ 1267 "unitsml(THz)"]) :title-en: The International System of Units -:title-fr: Le système international d’unités +:title-fr: Le système international d'unités :doctype: mise-en-pratique :committee-acronym: CCL-CCTF-WGFS :committee-en: CCL-CCTF Frequency Standards Working Group :si-aspect: m_c_deltanu :docstage: in-force -:confirmed-date: 2017-06 -:revdate: 2018-04 +:confirmed-date: 2021-03 +:revdate: 2022-04-13 :imagesdir: images :mn-document-class: bipm :mn-output-extensions: xml,html,pdf,rxl @@ -27,47 +27,66 @@ [%unnumbered] == {blank} -*^115^In^+^, stem:[5"s"^2 " "^1"S"_0 - 5"s" 5"p"" "^3"P"_0] unperturbed optical transition* +stem:["‌"^{115} "In"^"+"], stem:[5"s"^2 " "^1"S"_0 - 5"s" 5"p"" "^3"P"_0] +*unperturbed optical transition* == Recommended value <> of the frequency in the CIPM List of Frequencies -stem:[f (""^115 "In"^"+") = 1267402452901050 "unitsml(Hz)"] +stem:[f ("‌"^{115} "In"^"+") = 1267402452901041.3 "unitsml(Hz)"] equivalent to -stem:[ii(lambda) (""^115 "In"^"+") = 236540853.549544 "unitsml(fm)"], +stem:[ii(lambda) ("‌"^{115} "In"^"+") = 236540853.5495455 "unitsml(fm)"], -with a relative standard uncertainty of stem:[1.6 xx 10^(−14)]. +with a relative standard uncertainty of stem:[4.3 xx 10^(-15)]. -== Source data +== Method to establish the recommended value -Adopted value:: stem:[f (""^115 "In"^"+") = 1267402452901050 "unitsml(Hz)"] +A global adjustment of all measurements of frequency ratios published in +peer-reviewed publications and available to the CCL-CCTF WGFS was carried out +following the methods presented in <>. -with a relative uncertainty of stem:[1.6 xx 10^(−14)] calculated from +This adjustment determines the frequency of 14 transitions (see <>) which are +either already adopted as secondary representations of the second <> or +considered as candidates for SRS. It took into account 105 measurements, including 33 +frequency ratios and 72 absolute frequency measurements (i.e. ratios to the +stem:["‌"^{133} "Cs"] frequency). A total of 483 correlations between these +input measurements were estimated and considered in the adjustment. More details on +the input data and the processing are provided at +https://webtai.bipm.org/ftp/pub/tai/publication/wgfs/Adjustment_2021.html . The +recommended value is the direct result of the adjustment, rounded as deemed adequate +with respect to the recommended uncertainty. -[%unnumbered] -|=== -h| stem:[f(""^115 "In"^"+") // "unitsml(Hz)"] h| stem:[u // "unitsml(Hz)"] h| source data - -| stem:[1267402452899920] | stem:[690] | <> footnote:[From the least square procedure it turned out that the value and the uncertainty given in <> is not compatible with the remaining data. Thus the uncertainty given in the original publication <> was increased to stem:[690 "unitsml(Hz)"] to make it statistically more consistent.] -| stem:[1267402452901265] | stem:[256] | <> -| stem:[1267402452901049.9] | stem:[20.7] | <> footnote:[The uncertainty of stem:[6.9 "unitsml(Hz)"] presented in ref. <> was increased by a factor of three because it dominates the result with its uncertainty much lower than any of the others. Another fourth measurement <> has not been used since the data were identical with the ones of ref. <> but a much lower uncertainty of stem:[63 "unitsml(Hz)"] was reported without reasoning. The modification of the uncertainties followed the procedures outlined in ref. <>.] - -|=== +While the results are from a global adjustment, it is of interest to note (see +<>) that the stem:["‌"^{115} "In"^"+"] transition is involved in 4 +measurements relative to stem:["‌"^{133} "Cs"], and in 1 frequency ratio with +an optical transition. -as a weighted mean of the above values. +[[fig1]] +.Representation of the 105 measurements linking 14 transitions on the circle and stem:["‌"^{133} "Cs"] at the center. +image::img01.png[] [bibliography] == References -* [[[cctf,1]]], Consultative Committee for Time and Frequency (CCTF): Report of the 21st meeting (8-9 June 2017) to the International Committee for Weights and Measures; https://www.bipm.org/utils/common/pdf/CC/CCTF/CCTF21.pdf. +* [[[cctf,(1)CCTF Meeting 22]]], Consultative Committee for Time and Frequency +(CCTF), 22nd meeting (session II -- online), Recommendation PSFS-2 available at +https://www.bipm.org/en/committees/cc/cctf/22-_2-2021 -* [[[zanthier,2]]], J. von Zanthier, Th. Becker, M. Eichenseer, A. Yu. Nevsky, Ch. Schwedes, E. Peik E., H. Walther, R. Holzwarth, J. Reichert, Th. Udem, T. W. Hänsch, P. V. Pokasov, M. N. Skvortsov, S. N. Bagayev: Absolute frequency measurement of the In^+^ clock transition with a mode-locked laser; _Opt. Lett._ *25* 1729 – 1731 (2000) +* [[[margolis,(2)BIPM Metrologia 52 5 628]]], H. S. Margolis, P. Gill: Least-squares +analysis of clock frequency comparison data to deduce optimized frequency and +frequency ratio values; _Metrologia_ *52*, 628 (2015) -* [[[wang_dumke,3]]], Y. H. Wang, R. Dumke, T. Liu, A. Stejskal, Y. N. Zhao, J. Zhang, Z. H. Lu, L. J. Wang, T. Becker, H. Walther: Absolute frequency measurement and high resolution spectroscopy of stem:[""^{115}"In"^+ " "5s^2 " "^1 "S"_0 - 5"s"5"p" " "^3"P"_0] narrowline transition; _Opt. Commun._ *273*, 526 – 531 (2007) +* [[[robertsson, (3)BIPM Metrologia 53 6 1272]]], L. Robertsson: On the evaluation of +ultra-high-precision frequency ratio measurements: examining closed loops in a graph +theory framework; _Metrologia_ *53*, 1272 (2016) -* [[[ohtsubo,4]]], N. Ohtsubo, Y. Li, K. Matsubara, T. Ido, K. Hayasaka: Frequency measurement of the clock transition of an indium ion sympathetically-cooled in a linear trap; Opt. Express *25* 11725 – 11735 (2017) +* [[[panfilo, 4]]], G. Panfilo, communication to the CCL-CCTF WGFS. A new +implementation of [4] was realized in MatLab at the BIPM (2020) -* [[[wang_liu,5]]], Y. H. Wang, T. Liu, R. Dumke, A. Stejskal, Y. N. Zhao, J. Zhang, Z. H. Lu, L. J. Wang, T. Becker, H. Walther: Improved Absolute Frequency Measurement of the stem:[""^{115}"In"^+ 5s^2 " "^1 "S"_0 - 5"s"5"p" " "^3"P"_0] Narrowline Transition: Progress Towards an Optical Frequency Standard; _Laser Physics_ *17* 1017 – 1024 (2007) +* [[[oates,5]]], Ch. Oates, communication to the CCL-CCTF WGFS. An independent +program was developed in Mathematica at NIST (2017) -* [[[riehle,6]]], F. Riehle, P. Gill, F. Arias, L. Robertsson: The CIPM List of Recommended Frequency Standard Values: Guidelines and Procedures; _Metrologia_ *55*, 188 – 200 (2018) +* [[[riehle,(6)BIPM Metrologia 55 2 188]]], F. Riehle, P. Gill, F. Arias, L. +Robertsson: The CIPM List of Recommended Frequency Standard Values: Guidelines and +Procedures; _Metrologia_ *55*, 188 -- 200 (2018) diff --git a/sources/rec-values/mep-wgfs-nm243-H_1233THz.adoc b/sources/rec-values/mep-wgfs-nm243-H_1233THz.adoc index e4d3fdd9..ee6de7ee 100644 --- a/sources/rec-values/mep-wgfs-nm243-H_1233THz.adoc +++ b/sources/rec-values/mep-wgfs-nm243-H_1233THz.adoc @@ -1,4 +1,4 @@ -= Recommended Values of Standard Frequencies: Hydrogen stem:[""^1 H] Atom (stem:[f ~~ 1233 "unitsml(THz)"]) += Recommended Values of Standard Frequencies: Hydrogen stem:[""^{1} "H"] Atom (stem:[f ~~ 1233 "unitsml(THz)"]) :appendix-id: 2 :partnumber: 2.2 :edition: 9 @@ -7,10 +7,10 @@ :docnumber: SI MEP M REC 1233THz :title-appendix-en: Recommended values of standard frequencies for applications including the practical realization of the metre and secondary representations of the second :title-appendix-fr: Valeurs recommandées des fréquences étalons destinées à la mise en pratique de la définition du mètre et aux représentations secondaires de la seconde -:title-part-en: Hydrogen stem:[""^1 H] Atom (stem:[f ~~ 1233 "unitsml(THz)"]) -:title-part-fr: Hydrogen stem:[""^1 H] Atom (stem:[f ~~ 1233 "unitsml(THz)"]) +:title-part-en: Hydrogen stem:[""^{1} "H"] Atom (stem:[f ~~ 1233 "unitsml(THz)"]) +:title-part-fr: Hydrogen stem:[""^{1} "H"] Atom (stem:[f ~~ 1233 "unitsml(THz)"]) :title-en: The International System of Units -:title-fr: Le système international d’unités +:title-fr: Le système international d'unités :doctype: mise-en-pratique :committee-acronym: CCL-CCTF-WGFS :committee-en: CCL-CCTF Frequency Standards Working Group @@ -27,23 +27,24 @@ [%unnumbered] == {blank} -*^1^H neutral atom, stem:[rm(1S - 2S)] unperturbed optical transition* +*stem:["‌"^{1} "H"] neutral atom, stem:[1S - 2S] unperturbed optical transition* == Recommended value <> of the frequency -stem:[f (""^1 "H") = 1233030706593514 "unitsml(Hz)"] +stem:[f ("‌"^{1} "H") = 1233030706593514 "unitsml(Hz)"] equivalent to -stem:[ii(lambda) (""^1 "H") = 243134624.626044 "unitsml(fm)"], +stem:[ii(lambda) ("‌"^{1} "H") = 243134624.626044 "unitsml(fm)"], with an estimated relative standard uncertainty of stem:[9 xx 10^(-15)]. -NOTE: The stem:[rm(1S - 2S)] transition is excited by two photons of the frequency stem:[1233 "unitsml(THz)"] +NOTE: The stem:[1S - 2S] transition is excited by two photons of the frequency +stem:[1233 "unitsml(THz)"] == Source data -Adopted value:: stem:[f (""^1 "H") = 1233030706593514 "unitsml(Hz)"] + +Adopted value:: stem:[f ("‌"^{1} "H") = 1233030706593514 "unitsml(Hz)"] + stem:[u_c//y = 9 xx 10^(-15)] calculated from @@ -51,7 +52,7 @@ calculated from [cols="<,^,^"] [%unnumbered] |=== -h| stem:[2 xx f(""^1 "H") // "unitsml(Hz)"] h| stem:[u // "unitsml(Hz)"] h| source data +h| stem:[2 xx f("‌"^{1} "H") // "unitsml(Hz)"] h| stem:[u // "unitsml(Hz)"] h| source data | stem:[2466061413187035] | stem:[10] | <> | stem:[2466061413187018] | stem:[11] | <> @@ -67,8 +68,17 @@ standard uncertainty by a factor of three. [bibliography] == References -* [[[cipm-rec2,1]]], CIPM Recommendation 2 (CI-2015): Updates to the list of standard frequencies http://www.bipm.org/jsp/en/CIPMRecommendations.jsp +* [[[cipm-rec2,(1)CIPM Recommendation 2 (2015)]]], CIPM Recommendation 2 (CI-2015): +Updates to the list of standard frequencies +http://www.bipm.org/jsp/en/CIPMRecommendations.jsp -* [[[parthey,2]]], C. G. Parthey, A. Matveev, J. Alnis, B. Bernhardt, A. Beyer, R. Holzwarth, A. Maistrou, R. Pohl, K. Predehl, T. Udem, T. Wilken, N. Kolachevsky, M. Abgrall, D. Rovera, C. Salomon, P. Laurent, and T. W. Hänsch: Improved Measurement of the Hydrogen 1S–2S Transition Frequency, _Phys. Rev. Lett._ *107*, 203001 (2011). +* [[[parthey,2]]], C. G. Parthey, A. Matveev, J. Alnis, B. Bernhardt, A. Beyer, R. +Holzwarth, A. Maistrou, R. Pohl, K. Predehl, T. Udem, T. Wilken, N. Kolachevsky, M. +Abgrall, D. Rovera, C. Salomon, P. Laurent, and T. W. Hänsch: Improved Measurement of +the Hydrogen 1S--2S Transition Frequency, _Phys. Rev. Lett._ *107*, 203001 (2011). -* [[[matveev,3]]], A. Matveev, Ch. G. Parthey, K. Predehl, J. Alnis, A. Beyer, R. Holzwarth, Th. Udem, T. Wilken, N. Kolachevsky, M. Abgrall, D. Rovera, Ch. Salomon, Ph. Laurent, G. Grosche, O. Terra, Th. Legero, H. Schnatz, S. Weyers, B. Altschul, Th. W. Hänsch: Precision Measurement of the Hydrogen stem:[rm(1S - 2S)] Frequency via a 920-km Fiber Link, _Phys. Rev. Lett._ *110*, 230801 (2 +* [[[matveev,3]]], A. Matveev, Ch. G. Parthey, K. Predehl, J. Alnis, A. Beyer, R. +Holzwarth, Th. Udem, T. Wilken, N. Kolachevsky, M. Abgrall, D. Rovera, Ch. Salomon, +Ph. Laurent, G. Grosche, O. Terra, Th. Legero, H. Schnatz, S. Weyers, B. Altschul, +Th. W. Hänsch: Precision Measurement of the Hydrogen stem:[1S - 2S] Frequency via a +stem:[920-"unitsml(km)"] Fiber Link, _Phys. Rev. Lett._ *110*, 230801 (2013). diff --git a/sources/rec-values/mep-wgfs-nm266-199Hg_1129THz.adoc b/sources/rec-values/mep-wgfs-nm266-199Hg_1129THz.adoc index 1fe9f9c6..85b7876c 100644 --- a/sources/rec-values/mep-wgfs-nm266-199Hg_1129THz.adoc +++ b/sources/rec-values/mep-wgfs-nm266-199Hg_1129THz.adoc @@ -10,14 +10,14 @@ :title-part-en: Mercury 199 Atom (stem:[f ~~ 1129 "unitsml(THz)"]) :title-part-fr: Mercury 199 Atom (stem:[f ~~ 1129 "unitsml(THz)"]) :title-en: The International System of Units -:title-fr: Le système international d’unités +:title-fr: Le système international d'unités :doctype: mise-en-pratique :committee-acronym: CCL-CCTF-WGFS :committee-en: CCL-CCTF Frequency Standards Working Group :si-aspect: m_c_deltanu :docstage: in-force -:confirmed-date: 2017-06 -:revdate: 2018-08 +:confirmed-date: 2021-03 +:revdate: 2022-04-13 :imagesdir: images :mn-document-class: bipm :mn-output-extensions: xml,html,pdf,rxl @@ -27,185 +27,66 @@ [%unnumbered] == {blank} -*^199^Hg neutral atom, stem:[6"s"^2" "^1"S"_0 - 6"s"6"p"" "^3"P"_0] unperturbed optical transition* +*stem:["‌"^{199} "Hg"] neutral atom, stem:[6"s"^2" ‌"^1"S"_0 - 6"s"6"p"" "^3"P"_0] unperturbed optical transition* -== Recommended value <> of the frequency in the CIPM List of Frequencies <> +== Recommended value <> of the frequency in the CIPM List of Frequencies -stem:[f (""^199 "Hg") = 1128575290808154.4 "unitsml(Hz)"] +stem:[f("‌"^{199} "Hg") = 1128575290808154.32 "unitsml(Hz)"] equivalent to -stem:[ii(lambda) (""^199 "Hg") = 265637977.7598387 "unitsml(fm)"], +stem:[ii(lambda)("‌"^{199} "Hg") = 265637977.75983897 "unitsml(fm)"], -with a relative standard uncertainty of stem:[5 xx 10^(−16)]. +with a relative standard uncertainty of stem:[2.4 xx 10^(-16)]. -This radiation was endorsed by the CCTF <> as a -secondary representation of the definition of the second. +This radiation was endorsed by the CCTF as a secondary representation of the +definition of the second <>. -== Source data +== Method to establish the recommended value -The adopted value of stem:[f(""^199 Hg) = 1128575290808154.4 "unitsml(Hz)"] -with a relative standard uncertainty of stem:[5 xx 10^(−16)] has -been calculated by the methods presented in <>, -<>, <>, <>, with the data from the table -of evaluated frequencies (2017) attached below. The estimated -relative standard uncertainty of stem:[5 xx 10^(−16)] takes into -account the relative uncertainty of the ^87^Sr value of stem:[4 xx -10^(−16)] governing the evaluation procedure and quantitatively -unknown contributions of the correlations between the data of -<>. +A global adjustment of all measurements of frequency ratios published in +peer-reviewed publications and available to the CCL-CCTF WGFS was carried out +following the methods presented in <>. -[%unnumbered] -.Table of evaluated frequencies (2017) -|=== -| Frequency / stem:["unitsml(Hz)"] h| Uncertainty / stem:["unitsml(Hz)"] h| Reference - -3+h| ^199^Hg -| stem:[1128575290808155.1] | stem:[6.4] | <> -| stem:[1128575290808154.62] | stem:[0.41] | <> -3+h| ^171^Yb -| stem:[518295836590864.0] | stem:[28.0] | <> -| stem:[518295836590863.1] | stem:[2.0] | <> -| stem:[518295836590865.2] | stem:[0.7] | <> -| stem:[518295836590863.5] | stem:[8.1] | <> -| stem:[518295836590863.59] | stem:[0.31] | <> -| stem:[518295836590863.38] | stem:[0.57] | <> -3+h| ^88^Sr -| stem:[429228066418009.0] | stem:[32.0] | <> -| stem:[429228066418008.3] | stem:[2.1] | <>, Sr1 -| stem:[429228066418007.3] | stem:[2.9] | <>, Sr2 -3+h| ^87^Sr -| stem:[429228004229874.0] | stem:[1.1] | <> -| stem:[429228004229873.65] | stem:[0.37] | <> -| stem:[429228004229873.6] | stem:[1.1] | <> -| stem:[429228004229874.1] | stem:[2.4] | <> -| stem:[429228004229872.9] | stem:[0.5] | <> -| stem:[429228004229873.9] | stem:[1.4] | <> -| stem:[429228004229872.0] | stem:[1.6] | <> -| stem:[429228004229873.56] | stem:[0.49] | <> -| stem:[429228004229873.7] | stem:[1.4] | <> -| stem:[429228004229873.13] | stem:[0.17] | <> -| stem:[429228004229873.10] | stem:[0.13] | <> -| stem:[429228004229872.92] | stem:[0.12] | <> -| stem:[429228004229872.97] | stem:[0.16] | <>, 2014 -| stem:[429228004229873.04] | stem:[0.11] | <>, June 2015 -| stem:[429228004229872.97] | stem:[0.40] | <> -| stem:[429228004229872.99] | stem:[0.18] | <> -3+h| ^40^Ca^+^ -| stem:[411042129776393.2] | stem:[3.0] footnote:[From the least square procedure it turned out that the value and the uncertainty given in ref. <> is not compatible with the remaining data. Thus the uncertainty given in the original publication <> was increased to stem:[3 "unitsml(Hz)"] to make it statistically more consistent.] | <> -| stem:[411042129776398.4] | stem:[1.2] | <> -| stem:[411042129776400.5] | stem:[1.2] | <>, 2012 -| stem:[411042129776401.7] | stem:[1.1] | <>, 2014/2015 -3+h| ^87^Rb -| stem:[6834682610.9043129] | stem:[2.4 xx 10^(−6)] | <> -| stem:[6834682610.9043070] | stem:[3.1 xx 10^(−6)] | <> -| stem:[6834682610.9043125] | stem:[2.1 xx 10^(−6)] | <> - -| Frequency ratios | Fractional uncertainty | Reference - -3+h| ^199^Hg /^87^Sr -| stem:[2.62931420989890960] | stem:[8.4 xx 10^(−17)] | <> -| stem:[2.62931420989890915] | stem:[1.8 xx 10^(−16)] | <> -3+h| ^199^Hg /^87^Rb -| stem:[165124.754879997258] | stem:[3.8 xx 10^(−16)] | <> -3+h| ^171^Yb /^87^Sr -| stem:[1.2075070393433412] | stem:[1.4 xx 10^(−15)] | <>, <> -| stem:[1.20750703934333776] | stem:[2.4 xx 10^(−16)] | <> -| stem:[1.207507039343337749] | stem:[4.6 xx 10^(−17)] | <> -3+h| ^88^Sr /^87^Sr -| stem:[1.000000144883682777] | stem:[7 xx 10^(−17)] footnote:[The fractional uncertainty of stem:[2.3 x 10^(-17)] in ref. <> has been increased by a factor of three since this uncertainty is an order of magnitude smaller than the other input data for this transition.] | <> -3+h| ^87^Sr/^40^Ca+ -| stem:[1.0442433345296416] | stem:[2.3 xx 10^(−15)] | <> -3+h| ^87^Sr/^87^Rb -| stem:[62801.453800512435] | stem:[3.3 xx 10^(−16)] | <> - -|=== - -[bibliography] -== References - -* [[[cctf-report,1]]], Consultative Committee for Time and Frequency (CCTF): Report of the 21st meeting (8-9 June 2017) to the International Committee for Weights and Measures; https://www.bipm.org/utils/common/pdf/CC/CCTF/CCTF21.pdf - -* [[[ci2006,2]]], Recommendation 1 (CI-2006) https://www.bipm.org/utils/en/pdf/CIPM/CIPM2006-EN.pdf - -* [[[margolis,3]]], H. S. Margolis, P. Gill: Least-squares analysis of clock frequency comparison data to deduce optimized frequency and frequency ratio values; _Metrologia_ *52*, 628 (2015) - -* [[[robertsson,4]]], L. Robertsson: On the evaluation of ultra-high-precision frequency ratio measurements: examining closed loops in a graph theory framework; _Metrologia_ *53*, 1272 (2016) - -* [[[oates,5]]], Chris Oates: private communication. An independent program was developed in Mathematica at NIST (2017) - -* [[[riehle,6]]], F. Riehle, P. Gill, F. Arias, L. Robertsson: The CIPM List of Recommended Frequency Standard Values: Guidelines and Procedures; _Metrologia_ *55*, 188-200 (2018) - -* [[[mcferran,7]]], J. J. McFerran, L. Yi, S. Mejri, S. Di Manno, W. Zhang, J. Guéna, Y. Le Coq, S. Bize: Erratum: Neutral Atom Frequency Reference in the Deep Ultraviolet with Fractional Uncertainty stem:[= 5.7 xx 10^(-15)] [Phys. Rev. Lett. *108*, 183004 (2012)]; _Phys. Rev. Lett._ *115*, 219901 (2015) - -* [[[tyumenev,8]]], R. Tyumenev, M. Favier, S. Bilicki, E. Bookjans, R. Le Targat, J. Lodewyck, D. Nicolodi, Y. Le Coq, M. Abgrall, J. Guéna, L. De Sarlo, S. Bize: Comparing a mercury optical lattice clock with microwave and optical frequency standards; _New J. Phys._ *18*, 113002 (2016) - -* [[[baillard2007,9]]], X. Baillard, M. Fouché, R. Le Targat, P. G. Westergaard, A. Lecallier, Y. Le Coq, G. D. Rovera, S. Bize, P. Lemonde: Accuracy evaluation of an optical lattice clock with bosonic atoms; _Opt. Lett._ *32* 1812 (2007). - -* [[[morzynski,10]]], P. Morzyński, M. Bober, D. Bartoszek-Bober, J. Nawrocki, P. Krehlik, Ł. Śliwczyński, M. Lipiński, P. Masłowski, A. Cygan, P. Dunst, M. Garus, D. Lisak, J. Zachorowski, W. Gawlik, C. Radzewicz, R. Ciuryło, M. Zawada: Absolute measurement of the stem:[""^1"S"_0 - ""^3"P"_0] clock transition in neutral ^88^Sr over the stem:[330 "unitsml(km)"]-long stabilized fibre optic link; _Scientific Reports_ *5*, 17495 (2015) - -* [[[boyd,11]]], M. M. Boyd, A. D. Ludlow, S. Blatt, S. M. Foreman, T. Ido, T. Zelevinsky, J. Ye.: ^87^Sr lattice clock with inaccuracy below stem:[10^(-15)]; _Phys. Rev. Lett._ *98*, 083002 (2007) - -* [[[campbell,12]]], G. K. Campbell, A. D. Ludlow, S. Blatt, J. W. Thomsen, M. J. Martin, M. H. G. de Miranda, T. Zelevinsky, M. M. Boyd, J. Ye, S. A. Diddams, Th. P. Heavner, Th. E. Parker, S. R. Jefferts: The absolute frequency of the ^87^Sr optical clock transition; _Metrologia_ *45*, 539 (2008) - -* [[[baillard2008,13]]], X. Baillard, M. Fouché, R. Le Targat, P. G. Westergaard, A. Lecallier, F. Chapelet, M. Abgrall, G.D. Rovera, P. Laurent, P. Rosenbusch, S. Bize, G. Santarelli, A. Clairon, P. Lemonde, G. Grosche, B. Lipphardt, H. Schnatz: An optical lattice clock with spin-polarized ^87^Sr atoms; _Eur. Phys. J. D_ *48*, 11 (2008) - -* [[[hong,14]]], F.-L. Hong, M. Musha, M. Takamoto, H. Inaba, S. Yanagimachi, A. Takamizawa, K. Watabe, T. Ikegami, M. Imae, Y. Fujii, M. Amemiya, K. Nakagawa, K. Ueda, H. Katori: Measuring the frequency of a Sr optical lattice clock using a stem:[120 "unitsml(km)"] coherent optical transfer; _Opt. Lett._ *34*, 692 (2009) - -* [[[falke2011,15]]], St. Falke, H. Schnatz, J. S. R. Vellore Winfred, Th. Middelmann, St. Vogt, S. Weyers, B. Lipphardt, G. Grosche, F. Riehle, U. Sterr and Ch. Lisdat: The 87Sr optical frequency standard at PTB; _Metrologia_ *48*, 399 (2011) - -* [[[yamaguchi,16]]], A. Yamaguchi, N. Shiga, S. Nagano, Y. Li, H. Ishijima, H. Hachisu, M. Kumagai, T. Ido: Stability Transfer between Two Clock Lasers Operating at Different Wavelengths for Absolute Frequency Measurement of Clock Transition in ^87^Sr; _Appl. Phys. Express_ *5*, 022701 (2012) +This adjustment determines the frequency of 14 transitions (see <>) which are +either already adopted as secondary representations of the second <> or +considered as candidates for SRS. It took into account 105 measurements, including 33 +frequency ratios and 72 absolute frequency measurements (i.e. ratios to the +stem:["‌"^{133} "Cs"] frequency). A total of 483 correlations between these +input measurements were estimated and considered in the adjustment. More details on +the input data and the processing are provided at +https://webtai.bipm.org/ftp/pub/tai/publication/wgfs/Adjustment_2021.html . The +recommended value is the direct result of the adjustment, rounded as deemed adequate +with respect to the recommended uncertainty. -* [[[akamatsu,17]]], D. Akamatsu, H. Inaba, K. Hosaka, M. Yasuda, A. Onae, T. Suzuyama, M. Amemiya, F.-L. Hong: Spectroscopy and frequency measurement of the 87Sr clock transition by laser linewidth transfer using an optical frequency comb; _Appl. Phys. Express_ *7*, 012401 (2014) +While the results are from a global adjustment, it is of interest to note (see +<>) that the stem:["‌"^{199} "Hg"] transition is involved in 2 +measurements relative to stem:["‌"^{133} "Cs"], and in 4 frequency ratios, 3 +of which are with optical transitions. -* [[[tanabe,18]]], T. Tanabe, D. Akamatsu, T. Kobayashi, A. Takamizawa, S. Yanagimachi, T. Ikegami, T. Suzuyama, H. Inaba, S. Okubo, M. Yasuda, F.-L. Hong, A. Onae, K. Hosaka: Improved frequency measurement of the stem:[""^1"S"_0 - ""^3"P"_0] clock transition in ^87^Sr using a Cs fountain clock as a transfer oscillator; _J. Phys. Soc. Jpn._ *84*, 115002 (2015) +[[fig1]] +.Representation of the 105 measurements linking 14 transitions on the circle and stem:["‌"^{133} "Cs"] at the center. +image::img01.png[] -* [[[lin,19]]], Y.-G. Lin, Q. Wang, Y. Li, F. Meng, B.-K. Lin, E.-J. Zang, Z. Sun, F. Fang, T.-C. Li, Z.-J. Fang: First Evaluation and Frequency Measurement of the Strontium Optical Lattice Clock at NIM; _Chin. Phys. Lett._ *32*, 090601 (2015) - -* [[[falke2014,20]]], S. Falke, N. Lemke, C. Grebing, B. Lipphardt, S. Weyers, V. Gerginov, N. Huntemann, C. Hagemann, A. Al-Masoudi, S. Häfner, S. Vogt, U. Sterr, C. Lisdat: A strontium lattice clock with 3 times stem:[xx 10^(-17)] inaccuracy and its frequency; _New J. Phys._ *16*, 073023 (2014) - -* [[[targat,21]]], R. Le Targat, L. Lorini, Y. Le Coq, M. Zawada, J. Guéna, M. Abgrall, M. Gurov, P. Rosenbusch, D. G. Rovera, B. Nagórny, R. Gartman, P. G. Westergaard, M. E. Tobar, M. Lours, G. Santarelli, A. Clairon, S. Bize, P. Laurent, P. Lemonde, J. Lodewyck: Experimental realization of an optical second with strontium lattice clocks; _Nature Commun._ *4*, 2109 (2013) - -* [[[lodewyck,22]]], J. Lodewyck, S. Bilicki, E. Bookjans, J.-L. Robyr, C. Shi, G. Vallet, R. Le Targat, D. Nicolodi, Y. Le Coq, J. Guéna, M. Abgrall, P. Rosenbusch, S. Bize: Optical to microwave clock frequency ratios with a nearly continuous strontium optical lattice clock; _Metrologia_ *53*, 1123 (2016) - -* [[[grebing,23]]], C. Grebing, A. Al-Masoudi, S. Dörscher, S. Häfner, V. Gerginov, S. Weyers, B. Lipphardt, F. Riehle, U. Sterr, C. Lisdat: Realization of a timescale with an accurate optical lattice clock; _Optica_ *3*, 563 (2016) - -* [[[hachisu-abs-freq,24]]], H. Hachisu, G. Petit, G., T. Ido: Absolute frequency measurement with uncertainty below stem:[1 xx 10^(-15)] using International Atomic Time; _Appl. Phys. B_ *123*, 34 (2017) - -* [[[hachisu-si-traceable,25]]], H. Hachisu, G. Petit, F. Nakagawa, Y. Hanado, T. Ido: SI-traceable measurement of an optical frequency at the low stem:[10^(-16)] level without a local primary standard; _Optics Express_ *25*, 8511 (2017) - -* [[[chwalla,26]]], M. Chwalla, J. Benhelm, K. Kim, G. Kirchmair, T. Monz, M. Riebe, P. Schindler, A. S. Villar, W. Hänsel, C. F. Roos, R. Blatt, M. Abgrall, G. Santarelli, G. D. Rovera, Ph. Laurent: Absolute Frequency Measurement of the stem:[""^{40}"Ca"^+" "4"s"" "^2"S"_{1//2} - 3"d"" "^2"D"_{5//2}] Clock Transition; _Phys. Rev. Lett._ *102*, 023002 (2009) - -* [[[matsubara,27]]], K. Matsubara, H. Hachisu, Y. Li, S. Nagano, C. Locke, A. Nogami, M. Kajita, K. Hayasaka, T. Ido, and M. Hosokawa: Direct comparison of a Ca^+^ single-ion clock against a Sr lattice clock to verify the absolute frequency measurement; Optics Express *20*, 22034 (2012) - -* [[[huang,28]]], Y. Huang, H. Guan, P. Liu, W. Bian, L. Ma, K. Liang, T. Li, K. Gao: Frequency Comparison of Two ^40^Ca^+^ Optical Clocks with an Uncertainty at the stem:[10^(-17)] Level; _Phys. Rev. Lett._ *116*, 013001 (2016) - -* [[[lne-syrte,29]]], LNE-SYRTE TAI data; MJD 55954-57867 (Jan 2012 – April 2017); submitted on request of the CCL-CCTF WGFS by J. Guena on 10 May 2017 - -* [[[ovchinnikov,30]]], Y. B. Ovchinnikov, K. Szymaniec and S. Edris: Measurement of rubidium ground-state hyperfine transition frequency using atomic fountains; _Metrologia_ *52*, 595 (2015) - -* [[[guena,31]]], J. Guéna, S. Weyers, M. Abgrall, C. Grebing, V. Gerginov, P. Rosenbusch, S. Bize, B. Lipphardt, H. Denker, N. Quintin, S. M. F. Raupach, D. Nicolodi, F. Stefani, N. Chiodo, S. Koke, A. Kuhl, F. Wiotte, F. Meynadier, E. Camisard, C. Chardonnet, Y. Le Coq, M. Lours, G. Santarelli, A. Amy-Klein, R. Le Targat, O. Lopez, P. E. Pottie, G. Grosche: First international comparison of fountain primary frequency standards via a long distance optical fiber link; _Metrologia_ *54*, 348 (2017) - -* [[[yamanaka,32]]], K. Yamanaka, N. Ohmae, I. Ushijima, M. Takamoto and H. Katori: Frequency Ratio of ^199^Hg and ^87^Sr Optical Lattice Clocks beyond the SI Limit; _Phys. Rev. Lett._ *114*, 230801 (2015) - -* [[[akamatsu-freq-ratio,33]]], D. Akamatsu, M. Yasuda, H. Inaba, K. Hosaka, T. Tanabe, A. Onae, F.-L. Hong: Frequency ratio measurement of ^171^Yb and ^87^Sr optical lattice clocks; _Optics Express_ *22*, 7898 (2014) - -* [[[akamatsu-errata,34]]], D. Akamatsu, M. Yasuda, H. Inaba, K. Hosaka, T. Tanabe, A. Onae, F.-L. Hong: Errata: Frequency ratio measurement of 171Yb and 87Sr optical lattice clocks; _Optics Express_ *22*, 32199 (2014) - -* [[[takamoto,35]]], M. Takamoto, I. Ushijima, M. Das, N. Nemitz, T. Ohkubo, K. Yamanaka, N. Ohmae, T. Takano, T. Akatsuka, A. Yamaguchi, H. Katori: Frequency ratios of Sr, Yb, and Hg based optical lattice clocks and their applications; _C. R. Physique_ *16*, 489 (2015) - -* [[[nemitz,36]]], N. Nemitz, T. Ohkubo, M. Takamoto, I. Ushijima, M. Das, N. Ohmae, H. Katori: Frequency ratio of Yb and Sr clocks with stem:[5 xx 10^(-17)] uncertainty at 150 seconds averaging time; _Nature Photon._ *10*, 258 (2016) +[bibliography] +== References -* [[[takano,37]]], T. Takano, R. Mizushima, H. Katori: Precise determination of the isotope shift of 88Sr - 87Sr optical lattice clock by sharing perturbations; _Appl. Phys. Express_ *10*, 072801 (2017) +* [[[cctf22,(1)CCTF Meeting 22]]], Consultative Committee for Time and Frequency +(CCTF), 22 nd meeting (session II – online), Recommendation PSFS-2 available at +https://www.bipm.org/en/committees/cc/cctf/22-_2-2021 -* [[[kohno,38]]], T. Kohno, M. Yasuda, K. Hosaka, H. Inaba, Y. Nakajima, F. L. Hong: One-Dimensional Optical Lattice Clock with a Fermionic ^171^Yb Isotope; _Appl. Phys. Express_ *2*, 072501 (2009) +* [[[cctf21,(2)CCTF Meeting 21]]], Consultative Committee for Time and Frequency +(CCTF): Report of the 21st meeting (8-9 June 2017), Recommendation CCTF 2 +https://www.bipm.org/utils/common/pdf/CC/CCTF/CCTF21.pdf -* [[[yasuda,39]]], M. Yasuda, H. Inaba, T. Kohno, T. Tanabe, Y. Nakajima, K. Hosaka, D. Akamatsu, A. Onae, T. Suzuyama, M. Amemiya, F.-L. Hong: Improved Absolute Frequency Measurement of the ^171^Yb Optical Lattice Clock towards a Candidate for the Redefinition of the Second; _Appl. Phys. Express_ *5*, 102401 (2012). +* [[[margolis,(3)BIPM Metrologia 52 5 628]]], H. S. Margolis, P. Gill: Least-squares analysis of clock frequency comparison data to deduce optimized frequency and frequency ratio values; _Metrologia_ *52*, 628 (2015) -* [[[lemke,40]]], N. D. Lemke, A. D. Ludlow, Z.W. Barber, T. M. Fortier, S.A. Diddams, Y. Jiang, S. R. Jefferts, T. P. Heavner, T. E. Parker, and C.W. Oates: Spin-½ Optical Lattice Clock; _Phys. Rev. Lett._ *103*, 063001 (2009) +* [[[robertsson,(4)BIPM Metrologia 53 6 1272]]], L. Robertsson: On the evaluation of ultra-high-precision frequency ratio measurements: examining closed loops in a graph theory framework; _Metrologia_ *53*, 1272 (2016) -* [[[park,41]]], C. Y. Park, D. H. Yu, W.-K. Lee, S. E. Park, E. B. Kim, S. K. Lee, J. W. Cho, T. H. Yoon, J. Mun, S. J. Park, T. Y. Kwon and S.-B. Lee: Absolute frequency measurement of stem:[""^1"S"_0 ("F" = 1//2) - ""^3"P"_0 ("F" = 1//2)] transition of ^171^Yb atoms in a one-dimensional optical lattice at KRISS; _Metrologia_ *50*, 119-128 (2013) +* [[[panfilo, 5]]], G. Panfilo, communication to the CCL-CCTF WGFS. A new +implementation of [4] was realized in MatLab at the BIPM (2020) -* [[[pizzocaro,42]]], M. Pizzocaro, P. Thoumany, B. Rauf, F. Bregolin, G. Milani, C. Clivati, G. A. Costanzo, F. Levi, D. Calonico: Absolute frequency measurement of the stem:[""^1"S"_0 - ""^3"P"_0] transition of ^171^Yb; _Metrologia_ *54*, 102 – 112 (2017) +* [[[oates,6]]], Ch. Oates, communication to the CCL-CCTF WGFS. An independent +program was developed in Mathematica at NIST (2017) -* [[[kim,43]]], H. Kim, M.-S. Heo, W.-K. Lee, C.Y. Park, H.-G. Hong, S.-W. Hwang and D.-H. Yu: Improved absolute frequency measurement of the ^171^Yb optical lattice clock at KRISS relative to the SI second; _Jpn. J. Appl. Phys._ 56 050302 (2017) +* [[[riehle,(7)BIPM Metrologia 55 2 188]]], F. Riehle, P. Gill, F. Arias, L. Robertsson: The CIPM List of Recommended Frequency Standard Values: Guidelines and Procedures; _Metrologia_ *55*, 188-200 (2018) diff --git a/sources/rec-values/mep-wgfs-nm267-27Al_1121THz.adoc b/sources/rec-values/mep-wgfs-nm267-27Al_1121THz.adoc index e19beb35..ad5967b5 100644 --- a/sources/rec-values/mep-wgfs-nm267-27Al_1121THz.adoc +++ b/sources/rec-values/mep-wgfs-nm267-27Al_1121THz.adoc @@ -10,14 +10,14 @@ :title-part-en: Aluminium 27 Ion (stem:[f ~~ 1121 "unitsml(THz)"]) :title-part-fr: Aluminium 27 Ion (stem:[f ~~ 1121 "unitsml(THz)"]) :title-en: The International System of Units -:title-fr: Le système international d’unités +:title-fr: Le système international d'unités :doctype: mise-en-pratique :committee-acronym: CCL-CCTF-WGFS :committee-en: CCL-CCTF Frequency Standards Working Group :si-aspect: m_c_deltanu :docstage: in-force -:confirmed-date: 2013-06 -:revdate: 2013-07 +:confirmed-date: 2022-04-13 +:revdate: 2021-03 :imagesdir: images :mn-document-class: bipm :mn-output-extensions: xml,html,pdf,rxl @@ -27,45 +27,64 @@ [%unnumbered] == {blank} -*^27^Al^+^ ion, stem:[rm(3s^2 " "^1 S_0 - 3s3p " "^3 P_0)] unperturbed optical transition* +*stem:["‌"^{27} "Al"^"+"] ion, stem:[3"s"^2 " ‌"^1 "S"_0 - 3"s"3"p" " ‌"^3 "P"_0] unperturbed optical transition* -== Recommended value <> of the frequency +== Recommended value <> of the frequency in the CIPM List of Frequencies -stem:[f (""^27 rm(Al)^"+") = 1121015393207857.3 "unitsml(Hz)"] +stem:[f("‌"^{27} "Al"^"+") = 1121015393207859.16 "unitsml(Hz)"] equivalent to -stem:[ii(lambda) (""^27 rm(Al)^{+}) = 267429385.730489 "unitsml(fm)"], +stem:[ii(lambda) ("‌"^{27} "Al"^"+") = 267429385.73048867 "unitsml(fm)"], -with an estimated relative standard uncertainty of stem:[1.9 xx 10^(-15)]. +with a relative standard uncertainty of stem:[1.9 xx 10^(-16)]. -This radiation was endorsed as a secondary representation of the -definition of the second. +This radiation was endorsed by the CIPM as a secondary representation of the +definition of the second <>. -== Source data +== Method to establish the recommended value -stem:[f(""^27 rm(Al)^{+}) = 1121015393207857.3 "unitsml(Hz)"] + -stem:[u_c // y = 1.9 xx 10^(-15)] +A global adjustment of all measurements of frequency ratios published in +peer-reviewed publications and available to the CCL-CCTF WGFS was carried out +following the methods presented in <>. -calculated from +This adjustment determines the frequency of 14 transitions (see <>) which are +either already adopted as secondary representations of the second <> or +considered as candidates for SRS. It took into account 105 measurements, including 33 +frequency ratios and 72 absolute frequency measurements (i.e. ratios to the +stem:["‌"^{133} "Cs"] frequency). A total of 483 correlations between these +input measurements were estimated and considered in the adjustment. More details on +the input data and the processing are provided at +https://webtai.bipm.org/ftp/pub/tai/publication/wgfs/Adjustment_2021.html . The +recommended value is the direct result of the adjustment, rounded as deemed adequate +with respect to the recommended uncertainty. -[%unnumbered] -|=== -h| stem:[f(""^27 rm(Al)) // "unitsml(Hz)"] h| stem:[u // "unitsml(Hz)"] h| source data - -| stem:[1121015393207851] | stem:[6] | <> -| stem:[1121015393207857.4] | stem:[0.7] | <> -|=== +While the results are from a global adjustment, it is of interest to note (see +<>) that the stem:["‌"^{27} "Al"^"+"] transition is involved in 2 +measurements relative to stem:["‌"^{133} "Cs"], and in 3 frequency ratios with +optical transitions. -by a weighted mean. - -As this value was issued from only one laboratory, the CCTF considered it prudent to estimate a relative standard uncertainty of stem:[1.9 xx 10^(-15)]. +[[fig1]] +.Representation of the 105 measurements linking 14 transitions on the circle and stem:["‌"^{133} "Cs"] at the center. +image::img01.png[] [bibliography] == References -* [[[ci2013,1]]], CIPM Recommendation 1(CI-2013): Updates to the list of standard frequencies. +* [[[cctf22,(1)CCTF Meeting 22]]], Consultative Committee for Time and Frequency +(CCTF), 22 nd meeting (session II – online), Recommendation PSFS-2 available at +https://www.bipm.org/en/committees/cc/cctf/22-_2-2021 + +* [[[cipm1,(2)CIPM Recommendation 1 (2013)]]], CIPM Recommendation 1 (CI-2013) https://www.bipm.org/utils/en/pdf/CIPM/CIPM2013-EN.pdf + +* [[[margolis,(3)BIPM Metrologia 52 5 628]]], H. S. Margolis, P. Gill: Least-squares analysis of clock frequency comparison data to deduce optimized frequency and frequency ratio values; _Metrologia_ *52*, 628 (2015) + +* [[[robertsson,(4)BIPM Metrologia 53 6 1272]]], L. Robertsson: On the evaluation of ultra-high-precision frequency ratio measurements: examining closed loops in a graph theory framework; _Metrologia_ *53*, 1272 (2016) + +* [[[panfilo, 5]]], G. Panfilo, communication to the CCL-CCTF WGFS. A new +implementation of [4] was realized in MatLab at the BIPM (2020) -* [[[rosenband2007,2]]], T. Rosenband, P. O. Schmidt, D. B. Hume, W. M. Itano, T. M. Fortier, J. E. Stalnaker, K. Kim, S. A. Diddams, J. C. J. Koelemeij, J. C. Bergquist, and D. J. Wineland, Observation of the ^1^S~0~ stem:[->] ^3^P~0~ Clock Transition in ^27^Al^+^, _Phys. Rev. Lett._ *98*, 220801 (2007). +* [[[oates,6]]], Ch. Oates, communication to the CCL-CCTF WGFS. An independent +program was developed in Mathematica at NIST (2017) -* [[[rosenband2008,3]]], T. Rosenband, D. B. Hume, P. O. Schmidt, C. W. Chou, A. Brusch, L. Lorini, W. H. Oskay, R.E. Drullinger, T. M. Fortier, J. E. Stalnaker, S. A. Diddams, W. C. Swann, N. R. Newbury, W. M. Itano, D. J. Wineland and J. C. Bergquist: Frequency Ratio of Al^\+^ and Hg^+^ Single-Ion Optical Clocks; Metrology at the 17th Decimal Place, _Science_ *319*, 1808 (2008). +* [[[riehle,(7)BIPM Metrologia 55 2 188]]], F. Riehle, P. Gill, F. Arias, L. Robertsson: The CIPM List of Recommended Frequency Standard Values: Guidelines and Procedures; _Metrologia_ *55*, 188-200 (2018) diff --git a/sources/rec-values/mep-wgfs-nm282-199Hg_1065THz.adoc b/sources/rec-values/mep-wgfs-nm282-199Hg_1065THz.adoc index 67043b16..a0586515 100644 --- a/sources/rec-values/mep-wgfs-nm282-199Hg_1065THz.adoc +++ b/sources/rec-values/mep-wgfs-nm282-199Hg_1065THz.adoc @@ -10,14 +10,14 @@ :title-part-en: Mercury 199 Ion (stem:[f ~~ 1065 "unitsml(THz)"]) :title-part-fr: Mercury 199 Ion (stem:[f ~~ 1065 "unitsml(THz)"]) :title-en: The International System of Units -:title-fr: Le système international d’unités +:title-fr: Le système international d'unités :doctype: mise-en-pratique :committee-acronym: CCL-CCTF-WGFS :committee-en: CCL-CCTF Frequency Standards Working Group :si-aspect: m_c_deltanu :docstage: in-force -:confirmed-date: 2013-06 -:revdate: 2013-07 +:confirmed-date: 2021-03 +:revdate: 2022-04-13 :imagesdir: images :mn-document-class: bipm :mn-output-extensions: xml,html,pdf,rxl @@ -27,39 +27,64 @@ [%unnumbered] == {blank} -*^199^Hg^+^ ion, stem:[5"d"^{10} 6"s"" "^2"S"_{1//2} - 5"d"^9 6"s"^2" "^2"D"_{5//2}] unperturbed optical transition* +*stem:["‌"^{199} "Hg"^"+"] ion, stem:[5"d"^{10} 6"s"" "^2"S"_{1//2} - 5"d"^9 6"s"^2" "^2"D"_{5//2}] unperturbed optical transition* -== Recommended value <> of the frequency: +== Recommended value <> of the frequency in the CIPM List of Frequencies -stem:[f (""^199 "Hg"^"+") = 1064721609899145.30 "unitsml(Hz)"] +stem:[f("‌"^{199} "Hg"^"+") = 1064721609899146.96 "unitsml(Hz)"] equivalent to -stem:[ii(lambda) (""^199 "Hg"^"+") = 281568867.5919685 "unitsml(fm)"] +stem:[ii(lambda)("‌"^{199} "Hg"^"+") = 281568867.59196808 "unitsml(fm)"] -with a relative uncertainty of stem:[1.9 xx 10^(-15)]. +with a relative standard uncertainty of stem:[2.2 xx 10^(-16)]. -This radiation was already endorsed as a secondary representation of the definition of the second. +This radiation was endorsed by the CIPM as a secondary representation of the +definition of the second. -== Source data +== Method to establish the recommended value -Adopted value:: stem:[f (""^199 "Hg"^"+") = 1064721609899145.30 "unitsml(Hz)"] + -stem:[u_c//y = 1.9 xx 10^(-15)] +A global adjustment of all measurements of frequency ratios published in +peer-reviewed publications and available to the CCL-CCTF WGFS was carried out +following the methods presented in <>. -calculated from +This adjustment determines the frequency of 14 transitions (see <>) which are +either already adopted as secondary representations of the second <> or +considered as candidates for SRS. It took into account 105 measurements, including 33 +frequency ratios and 72 absolute frequency measurements (i.e. ratios to the +stem:["‌"^{133} "Cs"] frequency). A total of 483 correlations between these +input measurements were estimated and considered in the adjustment. More details on +the input data and the processing are provided at +https://webtai.bipm.org/ftp/pub/tai/publication/wgfs/Adjustment_2021.html . The +recommended value is the direct result of the adjustment, rounded as deemed adequate +with respect to the recommended uncertainty. -[%unnumbered] -|=== -| stem:[f(""^199 "Hg"^"+") // "unitsml(Hz)"] | stem:[u // "unitsml(Hz)"] | source data - -| stem:[1064721609899145.30] | stem:[0.69] | <> -|=== +While the results are from a global adjustment, it is of interest to note (see +<>) that the stem:["‌"^{199} "Hg"^"+"] transition is involved in 1 +measurement relative to stem:["‌"^{133} "Cs"], and in 1 frequency ratio with +an optical transition. -As this value was issued from only one laboratory the CCTF considered it prudent to estimate a relative standard uncertainty of stem:[1.9 xx 10^(-15)]. +[[fig1]] +.Representation of the 105 measurements linking 14 transitions on the circle and stem:["‌"^{133} "Cs"] at the center. +image::img01.png[] [bibliography] == References -* [[[ci2013,1]]], CIPM Recommendation 1(CI-2013): Updates to the list of standard frequencies. +* [[[cctf22,(1)CCTF Meeting 22]]], Consultative Committee for Time and Frequency +(CCTF), 22 nd meeting (session II – online), Recommendation PSFS-2 available at +https://www.bipm.org/en/committees/cc/cctf/22-_2-2021 + +* [[[cipm1,(2)CIPM Recommendation 1 (2006)]]], CIPM Recommendation 1 (CI-2006) https://www.bipm.org/utils/en/pdf/CIPM/CIPM2006-EN.pdf + +* [[[margolis,(3)BIPM Metrologia 52 5 628]]], H. S. Margolis, P. Gill: Least-squares analysis of clock frequency comparison data to deduce optimized frequency and frequency ratio values; _Metrologia_ *52*, 628 (2015) + +* [[[robertsson,(4)BIPM Metrologia 53 6 1272]]], L. Robertsson: On the evaluation of ultra-high-precision frequency ratio measurements: examining closed loops in a graph theory framework; _Metrologia_ *53*, 1272 (2016) + +* [[[panfilo, 5]]], G. Panfilo, communication to the CCL-CCTF WGFS. A new +implementation of [4] was realized in MatLab at the BIPM (2020) + +* [[[oates,6]]], Ch. Oates, communication to the CCL-CCTF WGFS. An independent +program was developed in Mathematica at NIST (2017) -* [[[stalnaker,2]]], J.E. Stalnaker, S.A. Diddams, T.M. Fortier, K. Kim, L. Hollberg, J.C. Bergquist, W.M. Itano, M.J. Delany, L. Lorini, W.H. Oskay, T.P. Heavner, S.R. Jefferts, F. Levi, T.E. Parker and J. Shirley: Optical-to-microwave frequency comparison with fractional uncertainty of stem:[10^(-15)], _Appl. Phys. B_, *89*, 167 (2007). +* [[[riehle,(7)BIPM Metrologia 55 2 188]]], F. Riehle, P. Gill, F. Arias, L. Robertsson: The CIPM List of Recommended Frequency Standard Values: Guidelines and Procedures; _Metrologia_ *55*, 188-200 (2018) diff --git a/sources/rec-values/mep-wgfs-nm436-171Yb_688THz.adoc b/sources/rec-values/mep-wgfs-nm436-171Yb_688THz.adoc index 90d801a9..fd825ff9 100644 --- a/sources/rec-values/mep-wgfs-nm436-171Yb_688THz.adoc +++ b/sources/rec-values/mep-wgfs-nm436-171Yb_688THz.adoc @@ -10,14 +10,14 @@ :title-part-en: Ytterbium 171 Ion (stem:[f ~~ 688 "unitsml(THz)"]) :title-part-fr: Ytterbium 171 Ion (stem:[f ~~ 688 "unitsml(THz)"]) :title-en: The International System of Units -:title-fr: Le système international d’unités +:title-fr: Le système international d'unités :doctype: mise-en-pratique :committee-acronym: CCL-CCTF-WGFS :committee-en: CCL-CCTF Frequency Standards Working Group :si-aspect: m_c_deltanu :docstage: in-force -:confirmed-date: 2015-10 -:revdate: 2016-05 +:confirmed-date: 2021-03 +:revdate: 2022-04-13 :imagesdir: images :mn-document-class: bipm :mn-output-extensions: xml,html,pdf,rxl @@ -27,55 +27,64 @@ [%unnumbered] == {blank} -*^171^Yb^+^ ion, stem:[6"s"" "^2"S"_{1//2} - 5"d"" "^2"D"_{3//2}] unperturbed optical transition* +*stem:["‌"^{171} "Yb"^"+"] ion, stem:[6"s" " ‌"^2 "S"_{1//2} " "("F"=0, "mF"=0) - 5"d" " ‌"^2"D"_{3//2} " "("F"=2, "mF"=0)] unperturbed optical transition* -== Recommended value <> of the frequency +== Recommended value <> of the frequency in the CIPM List of Frequencies -stem:[f](Yb^+^, quadrupole) stem:[= 688358979309308.3 "unitsml(Hz)"] +stem:[f("‌"^{171} "Yb"^"+"", quadrupole") = 688358979309308.24 "unitsml(Hz)"] equivalent to -stem:[ii(lambda)](Yb^+^) stem:[= 435517610.739688 "unitsml(fm)"] +stem:[ii(lambda)("‌"^{171} "Yb"^"+") = 435517610.73968763 "unitsml(fm)"] -with an estimated relative standard uncertainty of stem:[6 xx 10^(-16)]. +with a relative standard uncertainty of stem:[2.0 xx 10^(-16)]. -This radiation is already endorsed by the CIPM as a secondary representation of the definition of the second. +This radiation was endorsed by the CIPM as a secondary representation of the +definition of the second <>. -== Source data +== Method to establish the recommended value -Adopted value:: stem:[f](Yb^+^) stem:[= 688358979309308.3 "unitsml(Hz)"] + -stem:[u_c//y = 6 xx 10^(−16)] +A global adjustment of all measurements of frequency ratios published in +peer-reviewed publications and available to the CCL-CCTF WGFS was carried out +following the methods presented in <>. -calculated from +This adjustment determines the frequency of 14 transitions (see <>) which are +either already adopted as secondary representations of the second <> or +considered as candidates for SRS. It took into account 105 measurements, including 33 +frequency ratios and 72 absolute frequency measurements (i.e. ratios to the +stem:["‌"^{133} "Cs"] frequency). A total of 483 correlations between these +input measurements were estimated and considered in the adjustment. More details on +the input data and the processing are provided at +https://webtai.bipm.org/ftp/pub/tai/publication/wgfs/Adjustment_2021.html . The +recommended value is the direct result of the adjustment, rounded as deemed adequate +with respect to the recommended uncertainty. -[%unnumbered] -[cols="<,^,^,^,^"] -|=== -h| f (^171^Yb^+^, quadrupole) / stem:["unitsml(Hz)"] h| u / stem:["unitsml(Hz)"] h| f(^171^Yb^\+^ oct)/ f(^171^Yb^+^ quad) h| u h| source data - -| stem:[688358979309308] | stem:[2.14] | | | <> -| stem:[688358979309306.97] | stem:[0.73] | | | <> -| stem:[688358979309310] | stem:[9] | | | <> -| stem:[688358979309308.42] | stem:[0.42] | | | <> -| stem:[688358979309307.82] | stem:[0.36] | | | <> -| | | stem:[0.93282940453096465] | stem:[3.1 xx 10^(−16)] | <> -|=== +While the results are from a global adjustment, it is of interest to note (see +<>) that the stem:["‌"^{171} "Yb"^"+"] transition is involved in 5 +measurements relative to stem:["‌"^{133} "Cs"], and in 2 frequency ratios with +an optical transition. -as a weighted mean from the above values applying the method of Margolis and Gill <>. Considering that the values came from only two laboratories, the CCTF considered it prudent to enlarge the uncertainty by a factor of two. +[[fig1]] +.Representation of the 105 measurements linking 14 transitions on the circle and stem:["‌"^{133} "Cs"] at the center. +image::img01.png[] [bibliography] == References -* [[[ci2015,1]]], CIPM Recommendation 2 (CI-2015): Updates to the list of standard frequencies http://www.bipm.org/jsp/en/CIPMRecommendations.jsp +* [[[cctf22,(1)CCTF Meeting 22]]], Consultative Committee for Time and Frequency +(CCTF), 22 nd meeting (session II – online), Recommendation PSFS-2 available at +https://www.bipm.org/en/committees/cc/cctf/22-_2-2021 -* [[[ccl2005,2]]], Report of the 12th meeting, Consultative Committee for Length (CCL), 15-16 Sept. 2005; available at http://www.bipm.org/utils/common/pdf/CCL12.pdf and Questionnaire previous to the 2006 meeting of the CCL/CCTF Joint Working GroupCCL-CCTF/06-11. +* [[[cipm1,(2)CIPM Recommendation 1 (2006)]]], CIPM Recommendation 1 (CI-2006) https://www.bipm.org/utils/en/pdf/CIPM/CIPM2006-EN.pdf -* [[[tamm2009,3]]], Chr. Tamm, S. Weyers, B. Lipphardt, and E. Peik: Stray-field-induced quadrupole shift and absolute frequency of the 688-THz ^171^Yb^+^ single-ion optical frequency standard, _Phys. Rev. A_ *80*, 043403 (2009). +* [[[margolis,(3)BIPM Metrologia 52 5 628]]], H. S. Margolis, P. Gill: Least-squares analysis of clock frequency comparison data to deduce optimized frequency and frequency ratio values; _Metrologia_ *52*, 628 (2015) -* [[[webster,4]]], S. Webster, R. Godun, S. King, G. Huang, B. Walton, V. Tsatourian, H. Margolis, S. Lea and P. Gill: Frequency Measurement of the 2S1/2–2D3/2 Electric Quadrupole Transition in a Single ^171^Yb^+^ Ion, _IEEE Trans.on Ultrasonics, Ferroelectrics, and Frequency Control_, *57*, 592 (2010). +* [[[robertsson,(4)BIPM Metrologia 53 6 1272]]], L. Robertsson: On the evaluation of ultra-high-precision frequency ratio measurements: examining closed loops in a graph theory framework; _Metrologia_ *53*, 1272 (2016) -* [[[godun,5]]], Godun, R. M.; Nisbet-Jones, P. B. R.; Jones, J. M.; King, S. A.; Johnson, L. A. M.; Margolis, H. S.; Szymaniec, K.; Lea, S. N.; Bongs, K. & Gill, P.: Frequency ratio of two optical clock transitions in ^171^Yb^+^ and constraints on the time-variation of fundamental constants, _Phys. Rev. Lett._, *113*, 210801 (2014). +* [[[panfilo, 5]]], G. Panfilo, communication to the CCL-CCTF WGFS. A new +implementation of [4] was realized in MatLab at the BIPM (2020) -* [[[tamm2014,6]]], Tamm, C.; Huntemann, N.; Lipphardt, B.; Gerginov, V.; Nemitz, N.; Kazda, M.; Weyers, S. & Peik, E.: A Cs-Based Optical Frequency Measurement Using Cross-Linked Optical and Microwave Oscillators, _Phys. Rev.A_, *89*, 023820 (2014). +* [[[oates,6]]], Ch. Oates, communication to the CCL-CCTF WGFS. An independent +program was developed in Mathematica at NIST (2017) -* [[[margolis,7]]], H. S. Margolis, P. Gill: Least-squares analysis of clock frequency comparison data to deduce optimized frequency and frequency ratio values; _Metrologia_, 2015, *52*, 628-634 +* [[[riehle,(7)BIPM Metrologia 55 2 188]]], F. Riehle, P. Gill, F. Arias, L. Robertsson: The CIPM List of Recommended Frequency Standard Values: Guidelines and Procedures; _Metrologia_ *55*, 188-200 (2018) diff --git a/sources/rec-values/mep-wgfs-nm467-171Yb_642THz.adoc b/sources/rec-values/mep-wgfs-nm467-171Yb_642THz.adoc index 93d735bc..a2f52f29 100644 --- a/sources/rec-values/mep-wgfs-nm467-171Yb_642THz.adoc +++ b/sources/rec-values/mep-wgfs-nm467-171Yb_642THz.adoc @@ -10,14 +10,14 @@ :title-part-en: Ytterbium 171 Ion (stem:[f ~~ 642 "unitsml(THz)"]) :title-part-fr: Ytterbium 171 Ion (stem:[f ~~ 642 "unitsml(THz)"]) :title-en: The International System of Units -:title-fr: Le système international d’unités +:title-fr: Le système international d'unités :doctype: mise-en-pratique :committee-acronym: CCL-CCTF-WGFS :committee-en: CCL-CCTF Frequency Standards Working Group :si-aspect: m_c_deltanu :docstage: in-force -:confirmed-date: 2015-10 -:revdate: 2016-05 +:confirmed-date: 2021-03 +:revdate: 2022-04-13 :imagesdir: images :mn-document-class: bipm :mn-output-extensions: xml,html,pdf,rxl @@ -27,55 +27,64 @@ [%unnumbered] == {blank} -*^171^Yb ion, stem:[""^2 "S"_{1//2} - ""^2 "F"_{7//2}] unperturbed optical transition* +*stem:["‌"^{171} "Yb"^"+"] ion, stem:[6"s" " ‌"^2 "S"_{1//2} - 4"f" " ‌"^{13} "s"^2 " ‌"^2 "F"_{7//2}] unperturbed optical transition* -== Recommended value <> of the frequency +== Recommended value <> of the frequency in the CIPM List of Frequencies -stem:[f (""^171 "Yb"^"+", " octupole") = 642121496772645.0 "unitsml(Hz)"] +stem:[f("‌"^{171} "Yb"^"+", " octupole") = 642121496772645.12 "unitsml(Hz)"] equivalent to -stem:[ii(lambda) (""^171 "Yb"^"+") = 466878090.060497 "unitsml(fm)"] +stem:[ii(lambda)("‌"^{171} "Yb"^"+") = 466878090.06049678 "unitsml(fm)"] -with an estimated relative standard uncertainty of stem:[6 xx 10^(-16)]. +with a relative standard uncertainty of stem:[1.9 xx 10^(-16)]. -This radiation is already endorsed by the CIPM as a secondary representation of the definition of the second. +This radiation was endorsed by the CIPM as a secondary representation of the +definition of the second <>. -== Source data +== Method to establish the recommended value -Adopted value:: stem:[f (""^171 "Yb"^"+", " octupole") = 642121496772645.0 "unitsml(Hz)"] + -stem:[u_c//y = 6 xx 10^(−16)] +A global adjustment of all measurements of frequency ratios published in +peer-reviewed publications and available to the CCL-CCTF WGFS was carried out +following the methods presented in <>. -calculated from +This adjustment determines the frequency of 14 transitions (see <>) which are +either already adopted as secondary representations of the second <> or +considered as candidates for SRS. It took into account 105 measurements, including 33 +frequency ratios and 72 absolute frequency measurements (i.e. ratios to the +stem:["‌"^{133} "Cs"] frequency). A total of 483 correlations between these +input measurements were estimated and considered in the adjustment. More details on +the input data and the processing are provided at +https://webtai.bipm.org/ftp/pub/tai/publication/wgfs/Adjustment_2021.html . The +recommended value is the direct result of the adjustment, rounded as deemed adequate +with respect to the recommended uncertainty. -[%unnumbered] -[cols="<,^,^,^,^"] -|=== -h| stem:[f (""^171 "Yb"^"+")] / stem:["unitsml(Hz)"] h| stem:[u] / stem:["unitsml(Hz)"] h| stem:[f (""^171 "Yb"^"\+" " oct")] / stem:[f (""^171 "Yb"^"+" " quad")] h| u h| source data - -| stem:[642121496772657.0] | stem:[12] | | | <> -| stem:[642121496772645.15] | stem:[0.52] | | | <> -| stem:[642121496772646.22] | stem:[0.67] | | | <> -| stem:[642121496772644.91] | stem:[0.37] | | | <> -| stem:[642121496772645.36] | stem:[0.25] | | | <> -| | | stem:[0.93282940453096465] | stem:[3.1 xx 10^(−16)] | <> -|=== +While the results are from a global adjustment, it is of interest to note (see +<>) that the stem:["‌"^{171} "Yb"^"+"] transition is involved in 7 +measurements relative to stem:["‌"^{133} "Cs"], and in 9 frequency ratios with +optical transitions. -as a weighted mean from the above values applying the method of ref. <>. Considering that the values came from only two laboratories, the CCTF considered it prudent to enlarge the uncertainty by a factor of two. +[[fig1]] +.Representation of the 105 measurements linking 14 transitions on the circle and stem:["‌"^{133} "Cs"] at the center. +image::img01.png[] [bibliography] == References -* [[[ci2015,1]]], CIPM Recommendation 2 (CI-2015): Updates to the list of standard frequencies http://www.bipm.org/jsp/en/CIPMRecommendations.jsp +* [[[cctf22,(1)CCTF Meeting 22]]], Consultative Committee for Time and Frequency +(CCTF), 22 nd meeting (session II – online), Recommendation PSFS-2 available at +https://www.bipm.org/en/committees/cc/cctf/22-_2-2021 -* [[[hosaka,2]]], K. Hosaka, S. A. Webster, A. Stannard, B. R. Walton, H. S. Margolis, and P. Gill: Frequency measurement of the ^2^S~1/2~ -^2^F~7/2~ electric octupole transition in a single ^171^Yb^+^ ion, _Phys. Rev. A_ *79*, 033403 (2009). +* [[[cipm2,(2)CIPM Recommendation 2 (2015)]]], CIPM Recommendation 2 (CI-2015) https://www.bipm.org/documents/20126/35014012/CIPM2015-IIEN.pdf/78b2dfea-ddb8-c08a-a422-2c1d1f1805c7 -* [[[huntemann2012,3]]], N. Huntemann, M. Okhapkin, B. Lipphardt, S. Weyers, Chr. Tamm, and E. Peik: High-Accuracy Optical Clock Based on the Octupole Transition in ^171^Yb^+^, _Phys. Rev. Lett._ *108*, 090801 (2012). +* [[[margolis,(3)BIPM Metrologia 52 5 628]]], H. S. Margolis, P. Gill: Least-squares analysis of clock frequency comparison data to deduce optimized frequency and frequency ratio values; _Metrologia_ *52*, 628 (2015) -* [[[king,4]]], S. A. King, R. M. Godun, S. A. Webster, H. S. Margolis, L. A. M. Johnson, K. Szymaniec, P. E. G. Baird, and P Gill: Absolute frequency measurement of the stem:[""^2 "S"_{1//2} - ""^2 "F"_{7//2}] electric octupole transition in a single ion of ^171^Yb^+^ with stem:[10^(-15)] fractional uncertainty, _New J. Phys._ *14*, 013045 (2012). +* [[[robertsson,(4)BIPM Metrologia 53 6 1272]]], L. Robertsson: On the evaluation of ultra-high-precision frequency ratio measurements: examining closed loops in a graph theory framework; _Metrologia_ *53*, 1272 (2016) -* [[[godun,5]]], Godun, R. M.; Nisbet-Jones, P. B. R.; Jones, J. M.; King, S. A.; Johnson, L. A. M.; Margolis, H. S.; Szymaniec, K.; Lea, S. N.; Bongs, K. & Gill, P.: Frequency ratio of two optical clock transitions in ^171^Yb^+^ and constraints on the time-variation of fundamental constants, _Phys. Rev. Lett.,_ *113*, 210801 (2014). +* [[[panfilo, 5]]], G. Panfilo, communication to the CCL-CCTF WGFS. A new +implementation of [4] was realized in MatLab at the BIPM (2020) -* [[[huntemann2014,6]]], N. Huntemann, B. Lipphardt, Chr. Tamm, V. Gerginov, S. Weyers, and E. Peik: Improved Limit on a Temporal Variation of stem:[rm(m_p//m_e)] from Comparisons of Yb^+^ and Cs Atomic Clocks, _Phys. Rev. Lett._ *113*, 210802 (2014). +* [[[oates,6]]], Ch. Oates, communication to the CCL-CCTF WGFS. An independent +program was developed in Mathematica at NIST (2017) -* [[[margolis,7]]], H. S. Margolis, P. Gill: Least-squares analysis of clock frequency comparison data to deduce optimized frequency and frequency ratio values; _Metrologia_, 2015, *52*, 628-634 +* [[[riehle,(7)BIPM Metrologia 55 2 188]]], F. Riehle, P. Gill, F. Arias, L. Robertsson: The CIPM List of Recommended Frequency Standard Values: Guidelines and Procedures; _Metrologia_ *55*, 188-200 (2018) diff --git a/sources/rec-values/mep-wgfs-nm515-I2.adoc b/sources/rec-values/mep-wgfs-nm515-I2.adoc index 4674fcb2..4198d16c 100644 --- a/sources/rec-values/mep-wgfs-nm515-I2.adoc +++ b/sources/rec-values/mep-wgfs-nm515-I2.adoc @@ -10,7 +10,7 @@ :title-part-en: Iodine (stem:[ii(lambda) ~~ 515 "unitsml(nm)"]) :title-part-fr: Iodine (stem:[ii(lambda) ~~ 515 "unitsml(nm)"]) :title-en: The International System of Units -:title-fr: Le système international d’unités +:title-fr: Le système international d'unités :doctype: mise-en-pratique :committee-acronym: CCL-CCTF-WGFS :committee-en: CCL-CCTF Frequency Standards Working Group @@ -27,26 +27,33 @@ [%unnumbered] == {blank} -*Absorbing molecule ^127^I~2~, stem:["a"_3] component, P(13) 43-0 transition* footnote:[All transitions in I~2~ refer to the stem:["B"^3Pi 0_"u"^+ - "X"^1 Sigma_g^+] system.] +*Absorbing molecule stem:["‌"^{127} "I"_2], stem:["a"_3] component, +stem:["P"(13)" "43-0] transition* footnote:[All transitions in stem:["I"_2] refer to +the stem:["B"^3Pi 0_"u"^"+" - "X"^1 Sigma_g^"+"] system.] == CIPM recommended values The values:: stem:[f = 582490603442 "unitsml(kHz)"] + stem:[ii(lambda) = 514673466.368 "unitsml(fm)"] -with a relative standard uncertainty of stem:[8.6 xx 10^(−12)] apply to the radiation of a laser stabilized with an iodine cell external to the laser, and subject to the conditions: +with a relative standard uncertainty of stem:[8.6 xx 10^(-12)] apply to the radiation +of a laser stabilized with an iodine cell external to the laser, and subject to the +conditions: -* cold point temperature stem:[(–5 +- 20) "unitsml(degC)"], corresponding to a I~2~ pressure of stem:[(2.4 +- 0.5) "unitsml(Pa)"] footnote:[For the specification of operating conditions, such as temperature, modulation width and laser power, the symbols ± refer to a tolerance, not an uncertainty.]; +* cold point temperature stem:[(-5 pm 20) "unitsml(degC)"], corresponding to a +stem:["I"_2] pressure of stem:[(2.4 pm 0.5) "unitsml(Pa)"] footnote:[For the +specification of operating conditions, such as temperature, modulation width and +laser power, the symbols stem:[pm] refer to a tolerance, not an uncertainty.]; * saturating beam intensity stem:[< 40 "unitsml(mW*cm^(-2))"]. == Source data Adopted value:: stem:[f = 582490603442 (5) "unitsml(kHz)"] + -stem:[u_c//y = 8.6 xx 10^(−12)] +stem:[u_c//y = 8.6 xx 10^(-12)] + for which + stem:[ii(lambda) = 514673466.368 (4) "unitsml(fm)"] + -stem:[u_c//y = 8.6 xx 10^(−12)] +stem:[u_c//y = 8.6 xx 10^(-12)] calculated from @@ -54,28 +61,35 @@ calculated from |=== h| stem:[f // "unitsml(kHz)"] h| stem:[u_c//y] h| source data -| stem:[582490603378.8] | stem:[2.6 xx 10^(−12)] | <> -| stem:[582490603447.3] | stem:[1.3 xx 10^(−12)] | <> +| stem:[582490603378.8] | stem:[2.6 xx 10^(-12)] | <> +| stem:[582490603447.3] | stem:[1.3 xx 10^(-12)] | <> |=== -When corrected for pressure shifts, there is good agreement to stem:[0.4 "unitsml(kHz)"] between NIST-JILA and LPL values, bearing in mind that the iodine cell arrangement is significantly different for each case: +When corrected for pressure shifts, there is good agreement to stem:[0.4 +"unitsml(kHz)"] between NIST-JILA and LPL values, bearing in mind that the iodine +cell arrangement is significantly different for each case: [%unnumbered] |=== h| stem:[f // "unitsml(kHz)"] h| stem:[u_c//y] h| source data -| stem:[582490603441.8] | stem:[2.6 xx 10^(−12)] | <> -| stem:[582490603442.6] | stem:[1.3 xx 10^(−12)] | <> +| stem:[582490603441.8] | stem:[2.6 xx 10^(-12)] | <> +| stem:[582490603442.6] | stem:[1.3 xx 10^(-12)] | <> | Unweighted mean: 2+|stem:[582490603442.2] |=== -The CCL recommended value was chosen as the mean of the two values, rounded to stem:[582490603442 "unitsml(kHz)"], with an uncertainty reduced from the stem:[10 "unitsml(kHz)"] 2003 value to stem:[5 "unitsml(kHz)"]. +The CCL recommended value was chosen as the mean of the two values, rounded to +stem:[582490603442 "unitsml(kHz)"], with an uncertainty reduced from the stem:[10 +"unitsml(kHz)"] 2003 value to stem:[5 "unitsml(kHz)"]. == Absolute frequency of the other transitions related to those adopted as recommended and frequency intervals between transitions and hyperfine components -These tables replace those published in BIPM Com. Cons. Long., 2001, *10*, 179-181 and _Metrologia_, 2003, *40*, 125-126. +These tables replace those published in BIPM Com. Cons. Long., 2001, *10*, 179-181 +and _Metrologia_, 2003, *40*, 125-126. -The notation for the transitions and the components is that used in the source references. The values adopted for the frequency intervals are the weighted means of the values given in the references. +The notation for the transitions and the components is that used in the source +references. The values adopted for the frequency intervals are the weighted means of +the values given in the references. For the uncertainties, account has been taken of: @@ -84,13 +98,14 @@ For the uncertainties, account has been taken of: * the effect of any perturbing components; * the difference between the calculated and the measured values. -In the tables, stem:[u_c] represents the estimated combined standard uncertainty (stem:[1 ii(sigma)]). +In the tables, stem:[u_c] represents the estimated combined standard uncertainty +(stem:[1 ii(sigma)]). All transitions in molecular iodine refer to the B-X system. [cols="6*^"] |=== -6+^.^h| stem:[ii(lambda) ~~ 515 "unitsml(nm)"] ^127^I~2~ P(13) 43-0 +6+^.^h| stem:[ii(lambda) ~~ 515 "unitsml(nm)"] stem:["‌"^{127} "I"_2" P"(13)" "43-0] h| stem:["a"_n] h| [stem:[f("a"_n) - f("a"_3)]]/stem:["unitsml(kHz)"] h| stem:[u_c // "unitsml(kHz)"] h| stem:["a"_n] h| [stem:[f("a"_n) - f("a"_3)]]/stem:["unitsml(kHz)"] h| stem:[u_c // "unitsml(kHz)"] | stem:["a"_1] | stem:[-131770] | stem:[1] | stem:["a"_{12}] | stem:[435599] | 3 @@ -104,14 +119,15 @@ h| stem:["a"_n] h| [stem:[f("a"_n) - f("a"_3)]]/stem:["unitsml(kHz)"] h| stem:[u | stem:["a"_9] | stem:[349717] | 5 | stem:["a"_{20}] | stem:[757631] | 10 | stem:["a"_{10}] | stem:[369000] | stem:[1000] | stem:["a"_{21}] | stem:[817337] | 5 | stem:["a"_{11}] | stem:[393962] | 2 | | | -6+> +6+> |=== -Ref. <>, <>, <>, <> + +Ref. <> [cols="6*^"] |=== -6+^.^h| stem:[ii(lambda) ~~ 515 "unitsml(nm)"] ^127^I~2~ (R15) 43-0 +6+^.^h| stem:[ii(lambda) ~~ 515 "unitsml(nm)"] stem:["‌"^{127} "I"_2] stem:[("R"15)" "43-0] h| stem:["b"_n] h| [stem:[f("b"_n) - f("b"_1)]]/stem:["unitsml(kHz)"] h| stem:[u_c // "unitsml(kHz)"] h| stem:["b"_n] h| [stem:[f("b"_n) - f("b"_1)]]/stem:["unitsml(kHz)"] h| stem:[u_c // "unitsml(kHz)"] | stem:["b"_1] | stem:[0] | -- | stem:["b"_{12}] | stem:[566287] | 5 @@ -129,12 +145,13 @@ h| stem:["b"_n] h| [stem:[f("b"_n) - f("b"_1)]]/stem:["unitsml(kHz)"] h| stem:[u stem:[f ("a"_1", P(13) 43-0)" - f("a"_3", P(13) 43-0") = -131770(1000) "unitsml(kHz)"] + stem:[f ("b"_1", R(15) 43-0)" - f("a"_1", P(13) 43-0") = 283835(5000) "unitsml(kHz)"] <> |=== -Ref. <>, <> + +Ref. <> [cols="6*^"] |=== -6+^.^h| stem:[ii(lambda) ~~ 515 "unitsml(nm)"] ^127^I~2~ R(98) 58-1 +6+^.^h| stem:[ii(lambda) ~~ 515 "unitsml(nm)"] stem:["‌"^{127} "I"_2] stem:["R"(98)" "58-1] h| stem:["d"_n] h| [stem:[f("d"_n) - f("d"_6)]]/stem:["unitsml(kHz)"] h| stem:[u_c //"unitsml(kHz)"] h| stem:["d"_n] h| [stem:[f("d"_n) - f("d"_6)]]/stem:["unitsml(kHz)"] h| stem:[u_c //"unitsml(kHz)"] | stem:["d"_1] | stem:[-413488] | stem:[5] | stem:["d"_9] | stem:[225980] | 5 @@ -145,27 +162,43 @@ h| stem:["d"_n] h| [stem:[f("d"_n) - f("d"_6)]]/stem:["unitsml(kHz)"] h| stem:[u | stem:["d"_6] | stem:[0] | -- | stem:["d"_{14}] | stem:[481574] | 5 | stem:["d"_7] | stem:[172200] | 5 | stem:["d"_{15}] | stem:[510246] | 5 | stem:["d"_8] | stem:[200478] | 5 | | | -6+> + +6+> + stem:[f ("d"_6", R(98) "58-1) - f ("a"_3", P(13) 43-0") = -2100000 (1000) "unitsml(kHz)"] <> |=== -Ref. <>, <> +Ref. <> [bibliography] == References -* [[[jones,1]]], Jones R. J., Cheng W.-Y., Holman K. W., Chen L., Hall J. L., Ye J., Absolute-frequency measurement of the iodine-based length standard at stem:[514.67 "unitsml(nm)"], _Appl. Phys_, 2002, *B 74* 597-601. +* [[[jones,1]]], Jones R. J., Cheng W.-Y., Holman K. W., Chen L., Hall J. L., Ye J., +Absolute-frequency measurement of the iodine-based length standard at stem:[514.67 +"unitsml(nm)"], _Appl. Phys_, 2002, *B 74* 597-601. -* [[[ci2003,2]]], Recommendation CCL 2c (_BIPM Com. Cons. Long._, 11th Meeting, 2003) adopted by the Comité International des Poids et Mesures at its 92nd Meeting as Recommendation 1 (CI-2003). +* [[[ci2003,(2)CIPM Recommendation 1 (2003)]]], Recommendation CCL 2c (_BIPM Com. +Cons. Long._, 11th Meeting, 2003) adopted by the Comité International des Poids et +Mesures at its 92nd Meeting as Recommendation 1 (CI-2003). -* [[[hackel,3]]], Hackel L. A., Casleton K. H., Kukolich S. G., Ezekiel S., Observation of Magnetic Octupole and Scalar Spin-Spin Interactions in I2 Using Laser Spectroscopy, _Phys. Rev. Lett._, 1975, *35*, 568-571. +* [[[hackel,3]]], Hackel L. A., Casleton K. H., Kukolich S. G., Ezekiel S., +Observation of Magnetic Octupole and Scalar Spin-Spin Interactions in I2 Using Laser +Spectroscopy, _Phys. Rev. Lett._, 1975, *35*, 568-571. * [[[camy,4]]], Camy G., _Thesis_, Université Paris-Nord, 1979. -* [[[borde,5]]], Bordé C. J., Camy G., Decomps B., Descoubes J.-P., High precision saturation spectroscopy of ^127^I~2~ with argon lasers at 5145 Å and 5017 Å : I - Main Resonances, _J. Phys._, 1981, *42*, 1393-1411. +* [[[borde,5]]], Bordé C. J., Camy G., Decomps B., Descoubes J.-P., High precision +saturation spectroscopy of stem:["‌"^{127} "I"_2] with argon lasers at 5145 Å +and 5017 Å : I - Main Resonances, _J. Phys._, 1981, *42*, 1393-1411. -* [[[spieweck,6]]], Spieweck F., Gläser M., Foth H.-J., Hyperfine Structure of the P(13), 43-0 Line of ^127^I~2~ at stem:[514.5 "unitsml(nm)"], European Conference on Atomic Physics, Apr. 6-10, 1981, Heidelberg, _Europhysics Conference Abstracts_, *5A*, Part *I*, 325-326. +* [[[spieweck,6]]], Spieweck F., Gläser M., Foth H.-J., Hyperfine Structure of the +P(13), 43-0 Line of stem:["‌"^{127} "I"_2] at stem:[514.5 "unitsml(nm)"], +European Conference on Atomic Physics, Apr. 6-10, 1981, Heidelberg, _Europhysics +Conference Abstracts_, *5A*, Part *I*, 325-326. -* [[[forth,7]]], Foth H. J., Spieweck F., Hyperfine Structure of the R(98), 58-1 Line of ^127^I~2~ at stem:[514.5 "unitsml(nm)"], _Chem. Phys. Lett._, 1979, *65*, 347-352. +* [[[forth,7]]], Foth H. J., Spieweck F., Hyperfine Structure of the R(98), 58-1 Line +of stem:["‌"^{127} "I"_2] at stem:[514.5 "unitsml(nm)"], _Chem. Phys. Lett._, +1979, *65*, 347-352. -* [[[goncharov,8]]], Goncharov A., Amy-Klein A., Lopez O., Du Burck F., Chardonnet C., Absolute frequency measurement of the iodine-stabilized Ar^+^ laser at stem:[514.6 "unitsml(nm)"] using a femtosecond optical frequency comb, _Appl. Phys,_ *B 78*, 725-31, 2004. +* [[[goncharov,8]]], Goncharov A., Amy-Klein A., Lopez O., Du Burck F., Chardonnet +C., Absolute frequency measurement of the iodine-stabilized +stem:["Ar"^"+"] laser at stem:[514.6 "unitsml(nm)"] using a femtosecond +optical frequency comb, _Appl. Phys,_ *B 78*, 725-31, 2004.

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