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WIP: Update Recommended values documents #207

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73 changes: 46 additions & 27 deletions sources/rec-values/mep-wgfs-nm237-115In_1267THz.adoc
Original file line number Diff line number Diff line change
Expand Up @@ -2,22 +2,22 @@
: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
: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: 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 dunités
: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
Expand All @@ -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 <<cctf>> of the frequency in the CIPM List of Frequencies

stem:[f (""^115 "In"^"+") = 1267402452901050 "unitsml(Hz)"]
stem:[f ("&#x200c;"^{115} "In"^"+") = 1267402452901041.3 "unitsml(Hz)"]

equivalent to

stem:[ii(lambda) (""^115 "In"^"+") = 236540853.549544 "unitsml(fm)"],
stem:[ii(lambda) ("&#x200c;"^{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 <<from!margolis;to!riehle>>.

with a relative uncertainty of stem:[1.6 xx 10^(−14)] calculated from
This adjustment determines the frequency of 14 transitions (see <<fig1>>) which are
either already adopted as secondary representations of the second <<riehle>> 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:["&#x200c;"^{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] | <<zanthier>> footnote:[From the least square procedure it turned out that the value and the uncertainty given in <<zanthier>> is not compatible with the remaining data. Thus the uncertainty given in the original publication <<zanthier>> was increased to stem:[690 "unitsml(Hz)"] to make it statistically more consistent.]
| stem:[1267402452901265] | stem:[256] | <<wang_dumke>>
| stem:[1267402452901049.9] | stem:[20.7] | <<ohtsubo>> footnote:[The uncertainty of stem:[6.9 "unitsml(Hz)"] presented in ref. <<ohtsubo>> 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 <<wang_liu>> has not been used since the data were identical with the ones of ref. <<wang_dumke>> 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. <<riehle>>.]

|===
While the results are from a global adjustment, it is of interest to note (see
<<fig1>>) that the stem:["&#x200c;"^{115} "In"^"+"] transition is involved in 4
measurements relative to stem:["&#x200c;"^{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:["&#x200c;"^{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)
36 changes: 23 additions & 13 deletions sources/rec-values/mep-wgfs-nm243-H_1233THz.adoc
Original file line number Diff line number Diff line change
@@ -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
Expand All @@ -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 dunités
:title-fr: Le système international d'unités
:doctype: mise-en-pratique
:committee-acronym: CCL-CCTF-WGFS
:committee-en: CCL-CCTF Frequency Standards Working Group
Expand All @@ -27,31 +27,32 @@
[%unnumbered]
== {blank}

*^1^H neutral atom, stem:[rm(1S - 2S)] unperturbed optical transition*
*stem:["&#x200c;"^{1} "H"] neutral atom, stem:[1S - 2S] unperturbed optical transition*

== Recommended value <<cipm-rec2>> of the frequency

stem:[f (""^1 "H") = 1233030706593514 "unitsml(Hz)"]
stem:[f ("&#x200c;"^{1} "H") = 1233030706593514 "unitsml(Hz)"]

equivalent to

stem:[ii(lambda) (""^1 "H") = 243134624.626044 "unitsml(fm)"],
stem:[ii(lambda) ("&#x200c;"^{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 ("&#x200c;"^{1} "H") = 1233030706593514 "unitsml(Hz)"] +
stem:[u_c//y = 9 xx 10^(-15)]

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("&#x200c;"^{1} "H") // "unitsml(Hz)"] h| stem:[u // "unitsml(Hz)"] h| source data

| stem:[2466061413187035] | stem:[10] | <<parthey>>
| stem:[2466061413187018] | stem:[11] | <<matveev>>
Expand All @@ -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).
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