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Preliminary arc design including optimized and integrated lattice deck EUROCIRCOL-P3-WP2-D2.5 Date: 30/01/2019 Grant Agreement 654305 PUBLIC 1 / 14 Grant Agreement No: 654305 EuroCirCol European Circular Energy-Frontier Collider Study Horizon 2020 Research and Innovation Framework Programme, Research and Innovation Action DELIVERABLE REPORT P RELIMINARY ARC DESIGN INCLUDING OPTIMIZED AND INTEGRATED LATTICE DECK Document identifier: EuroCirCol-P3-WP2-D2.5 EDMS 2041772 Due date: End of Month 44 (February 1, 2019) Report release date: 30/01/2019 Work package: WP2 (Arc lattice design) Lead beneficiary: CEA Document status: RELEASED (V1.0) Abstract: Annotated beam optics and lattice files with specifications of the required magnet parameters (strengths and apertures) including consolidated position and element characteristics. Specification of the required magnet types and quantities including magnet field quality specifications.

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Page 1: Horizon 2020 Research and Innovation Framework Programme ... · Horizon 2020 Research and Innovation Framework Programme, Research and Innovation Action DELIVERABLE REPORT PRELIMINARY

Preliminary arc design including optimized and integrated lattice deck

EUROCIRCOL-P3-WP2-D2.5

Date: 30/01/2019

Grant Agreement 654305 PUBLIC 1 / 14

Grant Agreement No: 654305

EuroCirCol European Circular Energy-Frontier Collider Study

Horizon 2020 Research and Innovat ion Framework Programme, Research and Innovat ion Act ion

DELIVERABLE REPORT

PRELIMINARY ARC DESIGN INCLUDING

OPTIMIZED AND INTEGRATED LATTICE

DECK

Document identifier: EuroCirCol-P3-WP2-D2.5

EDMS 2041772

Due date: End of Month 44 (February 1, 2019)

Report release date: 30/01/2019

Work package: WP2 (Arc lattice design)

Lead beneficiary: CEA

Document status: RELEASED (V1.0)

Abstract:

Annotated beam optics and lattice files with specifications of the required magnet parameters

(strengths and apertures) including consolidated position and element characteristics. Specification of

the required magnet types and quantities including magnet field quality specifications.

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Preliminary arc design including optimized and integrated lattice deck

EUROCIRCOL-P3-WP2-D2.5

Date: 30/01/2019

Grant Agreement 654305 PUBLIC 2 / 14

Copyright notice:

Copyright © EuroCirCol Consortium, 2015

For more information on EuroCirCol, its partners and contributors please see www.cern.ch/eurocircol.

The European Circular Energy-Frontier Collider Study (EuroCirCol) project has received funding

from the European Union's Horizon 2020 research and innovation programme under grant No

654305. EuroCirCol began in June 2015 and will run for 4 years. The information herein only

reflects the views of its authors and the European Commission is not responsible for any use that

may be made of the information.

Delivery Slip

Name Partner Date

Authored by Antoine Chance CEA 23/01/19

Edited by Julie Hadre CERN 11/01/19

Reviewed by Michael Benedikt

Daniel Schulte CERN 28/01/19

Approved by EuroCirCol Coordination Committee 30/01/19

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Preliminary arc design including optimized and integrated lattice deck

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Date: 30/01/2019

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TABLE OF CONTENTS

1. LATTICE FILES ..................................................................................................................................................... 4

1.1. INTRODUCTION ............................................................................................................................................. 4 1.2. COLLIDER FOLDER ............................................................................................................................................. 4 1.3. COLLIDER_DEV FOLDER ..................................................................................................................................... 6 1.4. COLLIDER_THIN FOLDER .................................................................................................................................... 6 1.5. COLLIMATION_SECTION FOLDER........................................................................................................................ 7 1.6. EXP_SECTION FOLDER ........................................................................................................................................ 7 1.7. EXTRACTION FOLDER ......................................................................................................................................... 7 1.8. LOW_LUMI_EXP_INJ_SECTION FOLDER .............................................................................................................. 7 1.9. APERTURE FOLDER............................................................................................................................................. 7 1.10. ERRORS FOLDER ................................................................................................................................................. 8 1.11. MASKS FOLDER .................................................................................................................................................. 8 1.12. TOOLKIT FOLDER ............................................................................................................................................... 8

2. MAGNET PARAMETERS ..................................................................................................................................... 9

3. CONCLUSIONS .................................................................................................................................................... 12

4. REFERENCES ....................................................................................................................................................... 12

5. ANNEX GLOSSARY ............................................................................................................................................ 13

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1. LATTICE FILES

1.1. INTRODUCTION

The lattice files are maintained in a versioned, configuration managed repository using the Git open

source software at CERN (https://gitlab.cern.ch/fcc-optics/FCC-hh-lattice.git). The

baseline layout corresponds to the branch master. A development version exists within the branch

dev. The commands to download the files or to submit some file modifications are described in [1].

The repository contains different folders:

Collider. This folder contains the lattice files of the whole FCC-hh ring. The files are self-consistent

and only use one sequence file.

Collider_dev. This folder is for development purposes. It uses the structure file of each insertion.

These files should be used if modifications to the structure need to be tested.

Collider_thin. This folder contains lattice files of the thin version of the optics. They are useful

for tracking simulations.

Transfer_line. This folder is aimed to contain the lattice files of the transfer lines. It is currently

empty.

aperture. This folder contains the configuration of the aperture of all elements and specifies the

aperture tolerances. It also contains the scripts to calculate the beam stay clear in the collider.

collimation_section. This folder contains the lattice files of the cleaning sections LSS-PF-COL

and ESS-PJ-COL.

errors. This folder contains the error tables for the misalignment and field quality of magnets.

examples. This folder contains the examples of jobs.

exp_section. This folder contains the lattice files of the high-luminosity experimental interaction

regions (EIR) LSS-PA-EXP and LSS-PG-EXP.

extraction_section. This folder contains the lattice files of the extraction section ESS-PD-EXT.

low_lumi_exp_inj_section. This folder contains the lattice files of the low-luminosity

experimental interaction regions (including the injection sections) LSS-PB-EXP and LSS-PL-EXP.

masks. This folder contains the masks for tracking simulations.

toolkit. This folder contains the macros for MAD-X simulations.

1.2. COLLIDER FOLDER

This folder contains all lattice files to compute the optics of the ring. The contained files are:

fcc_hh.seq. This file contains the definition of magnet families and the position of all elements of

the FCC-hh ring (in the sequence called fcc_ring).

fcc_hh_####.madx. This file is the file to run for the ring optics. The pattern #### corresponds to

the value in millimetres of β* at the interaction points PA and PG. The existing values are 0.15 m,

0.20 m, 0.30 m, and 1.1 m for the collision optics and 4.6 m and 6.4 m for the injection optics. The

crossing scheme is off.

fcc_hh_####.str. This file contains the magnet strengths.

fcc_hh_####_cross.madx. This file is the MAD-X file when the crossing scheme is switched on.

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fcc_hh_####_cross.str. This file contains the magnet strengths with the crossing scheme on.

The pattern fcc_hh_alt _#### is for the alternative optics with the alternative triplet in the

EIR. The pattern #### corresponds to the value in millimetres of β* at the interaction points PA and

PG. The existing values are 0.15 m, 0.20 m, 0.30 m, and 1.1 m for the collision optics and 4.6 m and

6.4 m for the injection optics. There is also a flat optics with 𝛽𝑥∗ = 1.2 m and 𝛽𝑦

∗ = 0.15 m (with

####=0150_1200).

The content of the MAD-X file is the following:

! Lattice of the whole ring of FCC-hh

! 2018-11-05

!

! Antoine CHANCE, Barbara DALENA

! CEA Saclay

! [email protected]

!

SET, FORMAT="12D", "20.12G", "-18S";

TITLE,"Lattice of the whole ring of FCC-hh";

OPTION, RBARC=FALSE, WARN,-INFO,-ECHO;

Head of the file

! SINCE THE MADX VERSION 5.02.05, THE DEFINITIONS OF EXN

AND EYN HAVE CHANGED (RMS NORM. EMITTANCE AND NOMORE

GEOMETRICAL NORM. EMITTANCE)

if (version < 50205) {

BEAM, PARTICLE=PROTON, ENERGY=50000.0, EXN=2.2e-06*4.,

EYN=2.2e-06*4., RADIATE=FALSE;

} else {

BEAM, PARTICLE=PROTON, ENERGY=50000.0, EXN=2.2e-06,

EYN=2.2e-06, RADIATE=FALSE;

}

Beam definition

call, file="fcc_hh.seq"; Loads the ring sequence

call, file="fcc_hh_####.str"; Loads the strengths

call, file="../toolkit/macros_install_linear_eir.madx";

call, file="../toolkit/macros_install_nonlinear.madx";

call, file="../toolkit/macros_misc.madx";

call, file="../toolkit/macros_plot.madx";

call, file="../toolkit/macros_saving.madx";

call, file="../toolkit/macros_matching.madx";

Loads the macros

EXEC, TWS_SELEC();

USE, SEQUENCE=FCC_RING;

exec, tws_FCC_RING(fcc_hh_####);

Calculates the Twiss

functions

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1.3. COLLIDER_DEV FOLDER

This folder contains all lattice files to match again the optics of the ring. The contained files are:

fcc_hh_dev.ele. This file contains the definition of all magnet families.

fcc_hh_dev.seq. This file contains the definition of the sub-sequences and the position of all

elements in the FCC-hh ring.

fcc_hh_dev_####.madx. This file is the MADX-file to run for the ring optics. The pattern ####

corresponds to the value in millimetres of β* at the interaction points PA and PG. The crossing scheme

is off. This file has been annotated with different flags. The most relevant parameters are respectively

pCROSS_ON_IPx and pSEP_ON_IPx when there is a crossing angle or separation (p is H for horizontal

or V for vertical and x for the interaction point A, B, G, or L).

fcc_hh_dev_####.str. This file contains the magnet strengths.

fcc_hh_dev_####_cross.madx. This file is the MAD-X file when the crossing scheme is on.

fcc_hh_dev_####_cross.str. This file contains the magnet strengths with crossing scheme.

fcc_hh_dev_####_makethin.madx. This file is the MADX-file to generate the thin version of

the optics. The crossing scheme is switched off.

fcc_hh_dev_####_thin.str. This file contains the magnet strengths for the thin version. The

crossing scheme is switched off.

fcc_hh_dev_####_cross_makethin.madx. This file is the MADX-file to generate the thin

version of the optics. The crossing scheme is switched on.

fcc_hh_dev_####_cross_thin.str. This file contains the magnet strengths for the thin

version. The crossing scheme is switched on.

fcc_hh_dev_####_thin.seq1. This file contains the sequence file for the thin lattice as

generated by MAD-X. This file should not be modified.

fcc_hh_alt_dev_#### is the pattern for the alternative optics as described in the section 1.2.

1.4. COLLIDER_THIN FOLDER

This folder contains all lattice files to compute the optics of the thin version of ring. The contained

files are:

fcc_hh_thin.seq. This file contains the definition of magnet families and the position of all

elements of the thin version of the FCC-hh ring.

fcc_hh_####_thin.madx. This file is the MADX-file to run for the ring optics. The pattern ####

corresponds to β* as described in the section 1.2. The crossing scheme is off.

fcc_hh_####_thin.str. This file contains the magnet strengths with crossing scheme off.

fcc_hh_####_cross_thin.madx. This file is the MAD-X file when the crossing scheme is on.

fcc_hh_####_cross_thin.str. This file contains the magnet strengths with crossing scheme.

fcc_hh_alt_####_thin is the pattern for the alternative optics as described in the section 1.2.

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1.5. COLLIMATION_SECTION FOLDER

This folder contains the definition of the elements and of the sequences of the collimation sections

LSS-PF-COL (file ecol_fcc_mod4.madx) and ESS-PJ-COL (file IRCOLL2.madx).

1.6. EXP_SECTION FOLDER

This folder contains the definition of the elements and the sequence of the EIR LSS-PA-EXP and LSS-

PG-EXP (file IR_FCC_hh_V7.madx). The magnet strengths are given in opt_####_40.str

where #### is the value of β*. The alternative optics of the EIR is given in the folder

Alternative_triplet with the same naming convention.

1.7. EXTRACTION FOLDER

This folder contains the definition of the elements and of the sequence of the extraction section ESS-

PD-EXT. The baseline is given by the file FCCextraction2800m_vert.seq.

1.8. LOW_LUMI_EXP_INJ_SECTION FOLDER

This folder contains two folders IPB for LSS-PB-EXP and IPL for LSS-PL-EXP. The definition of the

elements and their position is given in the files FCC-hh_IPB.seq and FCC-hh_IPL.seq. The

magnet strengths are given in the files opt_3000_25.str for the collision optics and

opt_27000_25.str for the injection optics.

1.9. APERTURE FOLDER

This folder contains the aperture of the beam screen (FCC_BeamScreen.txt, see Figure 1), of

the arc (aperture.arc.b1.madx) and insertion elements (aperture.ir.col.b1.madx).

The aperture tolerances of the insertion elements are given in apert_tol.ir.col.b1.madx.

Since the dipoles are straight and not curved like in LHC, an additional margin on the aperture is added

because of the sagitta (difference between the reference axis and the curved trajectory of the reference

beam). The aperture tolerances are respectively defined for the arcs in apert_tol.arc.b1.madx

and apert_tol.arc.b1_sagitta.madx without and with sagitta. The beam stay clear is

calculated by running the MAD-X script job.calc_apertures.madx.

Figure 1: Mechanical design of the vacuum beam pipe. The beam pipe geometry as defined in MAD-X is shown in red.

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1.10. ERRORS FOLDER

This folder contains the definition of misalignment and field errors. The tables for the field and

misalignment errors are respectively given by the naming convention YYY_errortable_vN and

YYY_errortable_vN_align where YYY is the name of the magnet family like D1 for the

recombination dipole in the EIR and N is the version number. The error table of the arc dipoles is

contained in MBarc_errortable_v42 for the half-pinning case (baseline) and

MBarc_errortable_v4 for the full pinning [2]. The selection of the field and misalignment errors

is respectively made by the files Efcomp_YYY.madx and Ealign_YYY.madx where YYY

contains information about the selected families.

The file macro_error.madx contains all macros the user should use to apply errors to the optics.

1.11. MASKS FOLDER

This folder contains some masks to apply to convert a MAD-X optics with errors to a SixTrack input

for tracking studies.

1.12. TOOLKIT FOLDER

This folder contains MAD-X macros useful to:

insert elements (fcc_hh_crab_cavities.macro, macros_install_linear_eir,

macros_install_linear_alt_eir.madx, and macros_install_nonlinear.madx)

match the optics (macros_matching.madx, macros_matching_thin.madx,

macros_crossing.madx and matching_macros_thin.madx)

save the strengths (macros_saving.madx)

generate the thin optics (macros_makethin.madx, macros_makethin_alt.madx)

plot the optics (macros_plot.madx)

other purposes (macros_misc.madx)

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2. MAGNET PARAMETERS

The parameters of the dipoles, quadrupoles, dipole correctors and other multipoles are respectively

given in Table 1,

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Table 2, Table 3, and

Table 4.

Table 1: Parameters of the dipole families

Name Number Maximum

field [T] Material Length [m] Location

MB 4672 16 Nb3Sn 14.069 arcs and DIS

MBA 8 16 Nb3Sn 12.5 separation dipole in LSS-PF-COL and LSS-

PH-RFS

MBB 8 16 Nb3Sn 12.5 recombination dipole in LSS-PF-COL and

LSS-PH-RFS

MBWM 12 1 warm 7.764 LSS-PF-COL

MBRE 8 10 NbTi 15.0 recombination dipole in LSS-PB-EXP and

LSS-PL-EXP

MBRW 16 2 warm 11.3 recombination dipole in LSS-PA-EXP and

LSS-PG-EXP

MBW 8 2 warm 17.0 ESS-PJ-COL

MBXB 8 12 NbTi 12.5 separation dipole in LSS-PB-EXP and LSS-

PL-EXP

MBXW 16 2 warm 11.3 separation dipole in LSS-PA-EXP and LSS-

PG-EXP

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Table 2: Parameters of the quadrupole families

Name Number Max gradient

[T/m] Material

Length [m]

Location

MCQS 4 220 NbTi 1.6 LSS-PA-EXP and LSS-PG-EXP

MCQSX 4 220 NbTi 1.6 LSS-PA-EXP and LSS-PG-EXP

MQ 744 360 Nb3Sn 7.2 arcs

MQB 2 220 NbTi 15.5 ESS-PJ-COL

MQDA 48 360 Nb3Sn 9.7 DIS

MQE 2 60 NbTi 6.8 ESS-PD-EXT

MQI 2 220 NbTi 6.8 ESS-PD-EXT

MQM 8 360 Nb3Sn 14.3 LSS-PA-EXP and LSS-PG-EXP

MQML 10 360 Nb3Sn 12.8 LSS-PB-EXP and LSS-PL-EXP

MQMO 16 360 Nb3Sn 9.1 matching sections

MQR 8 360 Nb3Sn 7.2 LSS-PH-RFS

MQS 96 220 NbTi 0.5 arcs

MQT 88 220 NbTi 0.5 arcs

MQTL 48 220 NbTi 2.1 DIS

MQTLH 12 220 NbTi 6.5 ESS-PJ-COL

MQTLI 2 220 NbTi 6.5 ESS-PJ-COL

MQTLM 12 220 NbTi 2.969 LSS-PF-COL

MQWA 20 50 warm 15.54 ESS-PJ-COL

MQWB 4 50 warm 15.54 ESS-PJ-COL

MQWC 20 50 warm 7.097 LSS-PF-COL

MQWD 4 50 warm 7.097 LSS-PF-COL

MQXA 16 270 Nb3Sn 10.0 LSS-PB-EXP and LSS-PL-EXP

MQXB 8 270 Nb3Sn 15.0 LSS-PB-EXP and LSS-PL-EXP

MQXC 8 130 Nb3Sn 14.3 LSS-PA-EXP and LSS-PG-EXP

MQXD 16 105 Nb3Sn 12.5 LSS-PA-EXP and LSS-PG-EXP

MQXE 8 105 Nb3Sn 14.3 LSS-PA-EXP and LSS-PG-EXP

MQY 20 200 Nb3Sn 9.1 LSS-PA-EXP, LSS-PB-EXP, LSS-PG-EXP and

LSS-PL-EXP

MQYL 8 360 Nb3Sn 12.8 LSS-PA-EXP, LSS-PB-EXP, LSS-PG-EXP and

LSS-PL-EXP

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Table 3: Parameters of the dipole corrector families

Name Number Maximum

field [T] Material

Length [m]

Location

MCBCH 1 4 NbTi 2.055 LSS-PF-COL

MCBEXPH 4 4 NbTi 3.4 LSS-PA-EXP and LSS-PG-EXP

MCBH 396 4 NbTi 1.2 arcs

MCBH1 14 4 NbTi 0.5 LSS-PA-EXP and LSS-PG-EXP

MCBRDH 4 4 NbTi 3.0 LSS-PA-EXP and LSS-PG-EXP

MCBRDH1 4 4 NbTi 3.0 LSS-PB-EXP and LSS-PL-EXP

MCBWH 2 TBD Warm TBD ESS-PJ-COL

MCBXCH 4 3 NbTi 1.3 LSS-PB-EXP and LSS-PL-EXP

MCBXDH 4 3 NbTi 1.3 LSS-PB-EXP and LSS-PL-EXP

MCBXH 4 4 NbTi 2.25 LSS-PA-EXP and LSS-PG-EXP

MCBCV 2 4 NbTi 2.064 LSS-PF-COL

MCBRDV 4 4 NbTi 3.0 LSS-PA-EXP and LSS-PG-EXP

MCBRDV1 4 4 NbTi 3.0 LSS-PB-EXP and LSS-PL-EXP

MCBV 396 4 NbTi 1.2 arcs

MCBV1 14 4 NbTi 0.5 LSS-PA-EXP and LSS-PG-EXP

MCBWV 2 TBD Warm TBD ESS-PJ-COL

MCBXCV 4 3 NbTi 1.3 LSS-PB-EXP and LSS-PL-EXP

MCBXDV 4 3 NbTi 1.3 LSS-PA-EXP and LSS-PG-EXP

MCBXCHV 4 3 NbTi 1.3 LSS-PA-EXP and LSS-PG-EXP

MCBXDHV 8 3 NbTi 1.3 LSS-PA-EXP and LSS-PG-EXP

Table 4: Parameters of the multipole families (all of them use NbTi technology).

Order Name Number Max gradient Length

[m] Location

Sextupole MCS 4672 3000 T/m2 0.11 arcs and DIS

Sextupole MS 696 7000 T/m2 1.2 arcs

Octupole MO 480 200,000 T/m3 0.5 arcs

Skew sextupole

MCSSX 4 227 T/m2 0.111 LSS-PA-EXP and LSS-PG-EXP

Sextupole MCSX 4 227 T/m2 0.111 LSS-PA-EXP and LSS-PG-EXP

Skew Octupole

MCOSX 4 4230 T/m3 0.087 LSS-PA-EXP and LSS-PG-EXP

Octupole MCOX 4 4230 T/m3 0.087 LSS-PA-EXP and LSS-PG-EXP

Decapole MCD 2336 4.3 106 T/m4 0.11 arcs and DIS

Dodecapole MCTX 4 64,000 T/m5 0.43 LSS-PA-EXP and LSS-PG-EXP

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3. CONCLUSIONS

The lattice deck (which can be downloaded with the link https://gitlab.cern.ch/fcc-

optics/FCC-hh-lattice.git has been presented. Main optics files are located in the folders

Collider, Collider_dev and Collider_thin. The description of the apertures of all magnet families can

be found in the aperture folder.

The framework has been presented. The list of the different magnet families has been given.

4. REFERENCES

[1] A. Chance, “Preliminary arc optics and lattice files: Milestone M2.2,” CERN-ACC-2016-0032,

2016.

[2] A. Chance, “Consolidated arc design baseline: Milestone M2.5,” CERN-ACC-2018-0038, 2018.

[3] D. Schoerling, "Magnet status towards the CDR," in FCC week 2017, Berlin, Germany, 2017.

[4] C. Lorin, D. Simon, M. Durante, H. Felice, J.-M. Rifflet, T. Salmi and D. Schoerling, “Design of

a Nb3Sn 400 T/m quadrupole for the Future Circular Collider,” in MT-25, Amsterdam, 2017.

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5. ANNEX GLOSSARY

SI units and formatting according to standard ISO 80000-1 on quantities and units are used throughout

this document where applicable.

BPM Beam Position Monitor

c.m. Centre of Mass

DA Dynamic Aperture

DIS Dispersion suppressor

EIR Experimental Insertion Region

ESS Extended Straight Section

FCC Future Circular Collider

FCC-hh Hadron Collider within the Future Circular Collider study

FODO Focusing and defocusing quadrupole lenses in alternating order

H1 Beam running in the clockwise direction in the collider ring

H2 Beam running in the anti-clockwise direction in the collider ring

HL-LHC High Luminosity – Large Hadron Collider

IP Interaction Point

LHC Large Hadron Collider

LAR Long arc

LSS Long Straight Section

Nb3Sn Niobium-tin, a metallic chemical compound, superconductor

NbTi Niobium-titanium, a superconducting alloy

RFS Radio Frequency Section

RMS Root Mean Square

σ RMS size

SAR Short arc

SSS Short Straight Section

TSS Technical Straight Section

TBD To be defined