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sources/rec-values/mep-wgfs-nm237-115In_1267THz/2021/document.adoc
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= Recommended Values of Standard Frequencies: Indium 115 Ion (stem:[f ~~ 1267 "unitsml(THz)"]) | ||
:appendix-id: 2 | ||
:partnumber: 2.1 | ||
:edition: 9 | ||
: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 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: 2021-03 | ||
:revdate: 2022-04-13 | ||
:imagesdir: images | ||
:mn-document-class: bipm | ||
:mn-output-extensions: xml,html,pdf,rxl | ||
:local-cache-only: | ||
:data-uri-image: | ||
|
||
[%unnumbered] | ||
== {blank} | ||
|
||
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"^"+") = 1267402452901041.3 "unitsml(Hz)"] | ||
equivalent to | ||
stem:[ii(lambda) ("‌"^{115} "In"^"+") = 236540853.5495455 "unitsml(fm)"], | ||
with a relative standard uncertainty of stem:[4.3 xx 10^(-15)]. | ||
== Method to establish the recommended value | ||
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>>. | ||
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:["‌"^{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. | ||
While the results are from a global adjustment, it is of interest to note (see | ||
<<fig1>>) 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. | ||
[[fig1]] | ||
.Representation of the 105 measurements linking 14 transitions on the circle and stem:["‌"^{133} "Cs"] at the center. | ||
image::fig-01.jpg[] | ||
[bibliography] | ||
== References | ||
* [[[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 | ||
* [[[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) | ||
|
||
* [[[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) | ||
* [[[panfilo, 4]]], G. Panfilo, communication to the CCL-CCTF WGFS. A new | ||
implementation of [4] was realized in MatLab at the BIPM (2020) | ||
* [[[oates,5]]], Ch. Oates, communication to the CCL-CCTF WGFS. An independent | ||
program was developed in Mathematica at NIST (2017) | ||
* [[[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) |
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sources/rec-values/mep-wgfs-nm266-199Hg_1129THz/2021/document.adoc
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= Recommended Values of Standard Frequencies: Mercury 199 Atom (stem:[f ~~ 1129 "unitsml(THz)"]) | ||
:appendix-id: 2 | ||
:partnumber: 2.3 | ||
:edition: 9 | ||
:copyright-year: 2019 | ||
:language: en | ||
:docnumber: SI MEP M REC 1129THz | ||
: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: 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 | ||
: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: 2021-03 | ||
:revdate: 2022-04-13 | ||
:imagesdir: images | ||
:mn-document-class: bipm | ||
:mn-output-extensions: xml,html,pdf,rxl | ||
:local-cache-only: | ||
:data-uri-image: | ||
|
||
[%unnumbered] | ||
== {blank} | ||
|
||
*stem:["‌"^{199} "Hg"] neutral atom, stem:[6"s"^2" ‌"^1"S"_0 - 6"s"6"p"" "^3"P"_0] unperturbed optical transition* | ||
|
||
== Recommended value <<cctf22>> of the frequency in the CIPM List of Frequencies | ||
|
||
stem:[f("‌"^{199} "Hg") = 1128575290808154.32 "unitsml(Hz)"] | ||
|
||
equivalent to | ||
|
||
stem:[ii(lambda)("‌"^{199} "Hg") = 265637977.75983897 "unitsml(fm)"], | ||
|
||
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 <<cctf21>>. | ||
|
||
== Method to establish the recommended value | ||
|
||
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 <<margolis;to!riehle>>. | ||
|
||
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:["‌"^{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. | ||
|
||
While the results are from a global adjustment, it is of interest to note (see | ||
<<fig1>>) 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. | ||
|
||
[[fig1]] | ||
.Representation of the 105 measurements linking 14 transitions on the circle and stem:["‌"^{133} "Cs"] at the center. | ||
image::fig-01.jpg[] | ||
|
||
[bibliography] | ||
== References | ||
|
||
* [[[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 | ||
|
||
* [[[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 | ||
|
||
* [[[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) | ||
|
||
* [[[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) |
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sources/rec-values/mep-wgfs-nm267-27Al_1121THz/2021/document.adoc
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= Recommended Values of Standard Frequencies: Aluminium 27 Ion (stem:[f ~~ 1121 "unitsml(THz)"]) | ||
:appendix-id: 2 | ||
:partnumber: 2.4 | ||
:edition: 9 | ||
:copyright-year: 2019 | ||
:language: en | ||
:docnumber: SI MEP M REC 1121THz | ||
: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: 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 | ||
: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: 2022-04-13 | ||
:revdate: 2021-03 | ||
:imagesdir: images | ||
:mn-document-class: bipm | ||
:mn-output-extensions: xml,html,pdf,rxl | ||
:local-cache-only: | ||
:data-uri-image: | ||
|
||
[%unnumbered] | ||
== {blank} | ||
|
||
*stem:["‌"^{27} "Al"^"+"] ion, stem:[3"s"^2 " ‌"^1 "S"_0 - 3"s"3"p" " ‌"^3 "P"_0] unperturbed optical transition* | ||
|
||
== Recommended value <<cctf22>> of the frequency in the CIPM List of Frequencies | ||
|
||
stem:[f("‌"^{27} "Al"^"+") = 1121015393207859.16 "unitsml(Hz)"] | ||
|
||
equivalent to | ||
|
||
stem:[ii(lambda) ("‌"^{27} "Al"^"+") = 267429385.73048867 "unitsml(fm)"], | ||
|
||
with a relative standard uncertainty of stem:[1.9 xx 10^(-16)]. | ||
|
||
This radiation was endorsed by the CIPM as a secondary representation of the | ||
definition of the second <<cipm1>>. | ||
|
||
== Method to establish the recommended value | ||
|
||
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 <<margolis;to!riehle>>. | ||
|
||
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:["‌"^{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. | ||
|
||
While the results are from a global adjustment, it is of interest to note (see | ||
<<fig1>>) that the stem:["‌"^{27} "Al"^"+"] transition is involved in 2 | ||
measurements relative to stem:["‌"^{133} "Cs"], and in 3 frequency ratios with | ||
optical transitions. | ||
|
||
[[fig1]] | ||
.Representation of the 105 measurements linking 14 transitions on the circle and stem:["‌"^{133} "Cs"] at the center. | ||
image::fig-01.jpg[] | ||
|
||
[bibliography] | ||
== References | ||
|
||
* [[[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) | ||
|
||
* [[[oates,6]]], Ch. Oates, communication to the CCL-CCTF WGFS. An independent | ||
program was developed in Mathematica at NIST (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) |
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