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\begin{document}
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\centerline{\Huge\bf sMDT Chamber Parameter Book}
\vspace{4mm}

\centerline{\large Version 1.5, 1 October 2018}
\vspace{10mm}

\centerline{\Large Hubert Kroha}
\vspace{4mm}

\centerline{\Large Max-Planck-Institut f\"ur Physik, Munich}

\vspace{10mm}

\noindent
{\bf Abstract:} The geometrical layout and the parameters of the small-diameter drift tube (sMDT) chambers already installed in the
ATLAS muon spectrometer or under design and construction for phase~1 and phase~2 upgrades are summarised.
\vspace{10mm}

\begin{table}[h]
\centerline{\LARGE\bf 1. sMDT Chambers in General}

\vspace{6mm}

\begin{center}

\caption{Material and operating parameters of ATLAS sMDT chambers~\cite{sMDTperf1,sMDTperf2} compared to MDT chambers~\cite{ATLASpaper,MDTperf}. 
500 Hz/cm$^2$ and 200 kHz/tube are the maximum background rates expected in the barrel inner layer of the ATLAS muon spectrometer at HL-LHC.}
\label{tab:parameters}

\vspace{4mm}


\begin{tabular}{|l|c|c|}

\hline
Type & MDT & sMDT \\
\hline\hline
Tube material & Aluminium & Aluminium \\
              & Aluman100 & AW 6060-T6/ AlMgSi \\
Tube inner$\&$outer surface & & Surtec 650 chromatisation \\
Tube outer diameter & 29.970~mm & 15.000~mm \\
Tube wall thickness & 0.4~mm & 0.4~mm \\
Inactive length of Al tube & 90.5~mm & 71~mm \\
Wire material & W-Re (97:3) & W-Re (97:3) \\
Wire diameter & $50~\mu$m & $50~\mu$m \\
with gold plating thickness & 3\% & 3\% \\  
Wire resistance & $44~\Omega$/m & $44~\Omega$/m \\ 
Wire pitch & 30.035~mm & 15.099~mm \\
Wire tension & $350\pm 15$~g & $350\pm 15$~g \\
\hline
Gas mixture & Ar:CO$_2$ (93:7) &  Ar:CO$_2$ (93:7) \\
Gas pressure & 3 bar (abs.) & 3 bar (abs.) \\
Gas gain & $2\cdot 10^4$ & $2\cdot 10^4$ \\
Wire potential & 3080~V & 2730~V \\
Maximum drift time & 720~ns & 175~ns \\
\hline
Average tube spatial resolution & $83~\mu$m & $106~\mu$m \\
without backgr.\ irradiation & & \\
Average tube spatial resolution & $160~\mu$m & $110~\mu$m \\
at 500 Hz/cm$^2$ background rate & & \\
Drift tube muon efficiency  & 95\% & 94\% \\ 
without backgr.\ irradiation & & \\
Drift tube muon efficiency  & 80\% & 90\% \\ 
at 200 kHZ/tube backgr.\ rate & & \\
Wire positioning accuracy & $<20~\mu$m rms & $<10~\mu$m rms \\
\hline
\end{tabular}

\end{center}

\end{table}

\newpage


\begin{table}[h]

\vspace{-5mm}

\centerline{\LARGE\bf 2. The BME Chambers}

\vspace{1mm}

\begin{center}

\caption{Parameters of BME chambers~\cite{BMEproposal,BMEop}}


\vspace{1mm}

\begin{tabular}{|l||c|c|}

\hline
Type & BME-A & BME-C \\
\hline\hline
Number of chambers & 1 & 1 \\
Radial distance from beam axis (mm) & 7606 & 7606 \\
\hline
Chamber width in $z$ (mm)  & 1200   & 1200 \\
Tubes width in $z$ (mm)    & 1185   & 1185 \\
Chamber length in $x$ (mm) & 2339   & 2339 \\
Aluminium tube length (mm) & 2150 & 2150 \\
Assembled tube length (mm) & 2159 & 2159 \\
Sense wire length (mm)     & 2132 & 2132 \\
Active tube length (mm) & 2079 & 2079 \\ 
Active area/chamber (m$^2$)       & 2.46 & 2.46 \\
\hline
Tube layers & $2\times 4$ & $2\times 4$ \\
Tubes/layer & 78 & 78 \\
Tubes/chamber & 624 & 624 \\
Spacer height (mm) & 135.4 & 135.4 \\
Tubes height (mm) & 229 & 229 \\
Chamber height (mm) & 315 & 315 \\
\hline
Gas volume/chamber (l) & 212 & 212 \\
Chamber weight (kg) & 145 & 145 \\
\hline
Mezz.~cards (24 ch.)/chamber & 26 & 26 \\ 
Mezz.~cards/CSM~2/1 (LH RO side) & 12 & 14 \\
Mezz.~cards/CSM~1/2 (RH RO side) & 14 & 12 \\
CSMs/chamber & 2 & 2 \\
T-sensors/chamber & 16 & 16 \\
B-field sensors/chamber & 0 & 0 \\
In-plane systems/chamber & 4 & 4 \\ 
Axial alignment sensors/chamber & 2 & 2 \\
Praxial alignment sensors/chamber & 2 & 2 \\
CCC alignment sensors/chamber & 0 & 0 \\
Survey targets/chamber & 4 & 4 \\
\hline
 
\end{tabular}


\caption{BME sMDT chambers summary}
\label{tab:bme_numbers}

\vspace{1mm}

\begin{tabular}{|l|c|}

\hline
Parameter & Value \\
\hline\hline
Number of chambers & 2 \\
Number of tubes & 1248 \\
Total tube and wire length & 2.68~km \\ 
Total chamber active area & 4.9~m$^2$ \\
Total gas volume & 0.42~m$^3$ \\
Total chamber weight & 0.29~tons \\
Number of mezzanine cards & 52 \\
Number of hedgehog boards & 104 \\
Number of CSMs & 4 \\
\hline 

\end{tabular}
\vspace{1mm}


\caption{Nominal wire grid parameters of the BME sMDT chambers from the average of the CMM measurements of HV and RO sides of both chambers 
(multilayer z-shift sign from RO side). The measured parameters of the individual chambers and the link to the individual sense wire positions
are given in ~\cite{BMEconstr}.}
\vspace{1mm}

\begin{tabular}{|l|c|}

\hline
Parameter & Value \\
\hline\hline
$z$ pitch [mm]                &  15.0991 \\
$y$ pitch [mm]                &  13.091  \\ 
Multilayer $z$ shift (wires) [mm]     &   0.010  \\
Multilayer $y$ distance (wires) [mm]  & 135.320  \\  
\hline
rms$_z$ ($\sigma_z$) [$\mu$m]   & 12.6 (9.5)  \\
rms$_y$ ($\sigma_y$) [$\mu$m]   & 16.7 (11.9) \\ 
rms$_r$ ($\sigma_r$) [$\mu$m]   & 14.8 (10.8) \\
\hline 
 
\end{tabular}

\end{center}
\end{table}

\newpage

\begin{figure}[th]

\centering
\includegraphics[angle=90,width=\textwidth]{BME-C_drawings.pdf}
\caption{Drawings of a BME-C chamber installed in April 2014 and, with new RPCs, in April 2017.}
\label{fig:BME_drawings}

\end{figure}

\newpage

%\pagestyle{empty}


\begin{table}[h]

\vspace{-5mm}

\centerline{\LARGE\bf 3. The BMG Chambers}

\vspace{2mm}

\begin{center}

\caption{Parameters of BMG chambers~\cite{BMGproposal,BMGconstr}}

\vspace{1mm}

\begin{small}

\begin{tabular}{|l||c|c|c|c|c|c|}

\hline
Type sector 12 & BMG-2A-12 & BMG-2C-12 & BMG-4A-12 & BMG-4C-12 & BMG-6A-12 & BMG-6C-12 \\
\hline\hline
Radial distance from beam (mm) & 8095 & 8095 & 8095 & 8095 & 8095 & 8095 \\
\hline
Chamber width in $z$ (mm)    & 860 & 860 & 860 & 860 & 860 & 860 \\
Tubes width in $z$ (mm)      & 823 & 823 & 823 & 823 & 823 & 823 \\
Chamber length in $x$ (mm)   & 1307 & 1307 & 1307 & 1307 & 1307 & 1307 \\ 
Aluminium tube length (mm) & 1120 & 1120 & 1120 & 1120 & 1120 & 1120 \\
Assembled tube length (mm) & 1129 & 1129 & 1129 & 1129 & 1129 & 1129 \\
Active tube length (mm)    & 1049 & 1049 & 1049 & 1049 & 1049 & 1049 \\
Sense wire length (mm)     & 1102 & 1102 & 1102 & 1102 & 1102 & 1102 \\  
Active area/chamber (m$^2$)       & 0.74 & 0.74 & 0.74 & 0.74 & 0.74 & 0.74 \\  
\hline
Tube layers & $2\times 4$ & $2\times 4$ & $2\times 4$ & $2\times 4$ & $2\times 4$ & $2\times 4$ \\
Tube positions/layer & 54 & 54 & 54 & 54 & 54 & 54 \\
Tube positions/chamber & 432 & 432 & 432 & 432 & 432 & 432 \\
Tubes/top ML    & 188 & 189 & 184 & 183 & 160 & 166 \\
Tubes/bottom ML & 188 & 188 & 184 & 184 & 160 & 162 \\
Tubes/chamber   & 376 & 377 & 368 & 367 & 320 & 328 \\ 
Spacer height (mm)  & 184.965 & 184.965 & 184.965 & 184.965 & 184.965 & 184.965 \\
Tubes height (mm)   & 271 & 271 & 271 & 271 & 271 & 271 \\
Chamber height (mm) & 358 & 358 & 358 & 358 & 358 & 358 \\
\hline
Gas volume/chamber (l) & 67.2 & 67.4 & 65.8 & 65.6 & 57.2 & 58.6 \\
Chamber weight (kg) & 95 & 95 & 95 & 95 & 95 & 95 \\
\hline
Mezz.~cards (24 ch.)/chamber & 18 & 17 & 18 & 18 & 16 & 16 \\ 
CSMs/chamber & 1 & 1 & 1 & 1 & 1 & 1 \\
T-sensors/chamber            & 14 & 14 & 14 & 14 & 14 & 14 \\ 
B-field sensors/chamber      & 0 & 0 & 0 & 0 & 0 & 0 \\
In-plane systems/chamber     & 0 & 0 & 0 & 0 & 0 & 0 \\ 
Axial alignment sensors/chamber & 2 & 2 & 2 & 2 & 2 & 2 \\
Praxial alignment sensors/chamber & 4 & 4 & 4 & 4 & 2 & 2 \\
CCC alignment sensors/chamber & 0 & 0 & 0 & 0 & 0 & 0 \\
Survey targets/chamber       & 4 & 4 & 4 & 4 & 4 & 4 \\
\hline
  
\end{tabular}
\vspace{2mm}


\begin{tabular}{|l||c|c|c|c|c|c|}

\hline
Type sector 14 & BMG-2A14 & BMG-2C-14 & BMG-4A-14 & BMG-4C-14 & BMG-6A-14 & BMG-6C-14 \\
\hline\hline
Radial distance from beam (mm) & 8095 & 8095 & 8095 & 8095 & 8095 & 8095 \\
\hline
Chamber width in $z$ (mm)    & 860 & 860 & 860 & 860 & 860 & 860 \\
Tubes width in $z$ (mm)      & 823 & 823 & 823 & 823 & 823 & 823 \\
Chamber length in $x$ (mm)   & 1307 & 1307 & 1307 & 1307 & 1307 & 1307 \\ 
Aluminium tube length (mm) & 1120 & 1120 & 1120 & 1120 & 1120 & 1120 \\
Assembled tube length (mm) & 1129 & 1129 & 1129 & 1129 & 1129 & 1129 \\
Active tube length (mm)    & 1049 & 1049 & 1049 & 1049 & 1049 & 1049  \\
Sense wire length (mm)     & 1102 & 1102 & 1102 & 1102 & 1102 & 1102 \\  
Active area/chamber (m$^2$)       & 0.74 & 0.74 & 0.74 & 0.74 & 0.74 & 0.74 \\  
\hline
Tube layers & $2\times 4$ & $2\times 4$ & $2\times 4$ & $2\times 4$ & $2\times 4$ & $2\times 4$ \\
Tube positions/layer & 54 & 54 & 54 & 54 & 54 & 54 \\
Tube positions/chamber & 432 & 432 & 432 & 432 & 432 & 432 \\
Tubes/top ML & 189 & 188 & 183 & 184 & 178 & 176 \\
Tubes/bottom ML & 188 & 188 & 184 & 184 & 190 & 178 \\
Tubes/chamber & 377 & 376 & 367 & 368 & 368 & 354 \\  
Spacer height (mm)  & 184.965 & 184.965 & 184.965 & 184.965 & 184.965 & 184.965 \\
Tubes height (mm)   & 271 & 271 & 271 & 271 & 271 & 271 \\
Chamber height (mm) & 358 & 358 & 358 & 358 & 358 & 358 \\
\hline
Gas volume/chamber (l) & 67.4 & 67.2 & 65.6 & 65.8 & 65.8 & 63.3 \\
Chamber weight (kg) & 95 & 95 & 95 & 95 & 95 & 95 \\
\hline
Mezz.~cards (24 ch.)/chamber & 17 & 18 & 18 & 18 & 18 & 18 \\ 
CSMs/chamber & 1 & 1 & 1 & 1 & 1 & 1 \\
T-sensors/chamber            & 14 & 14 & 14 & 14 & 14 & 14 \\ 
B-field sensors/chamber      & 0 & 0 & 0 & 0 & 0 & 0 \\
In-plane systems/chamber     & 0 & 0 & 0 & 0 & 0 & 0 \\ 
Axial alignment sensors/chamber & 2 & 2 & 2 & 2 & 2 & 2 \\
Praxial alignment sensors/chamber & 4 & 4 & 4 & 4 & 2 & 2 \\
CCC alignment sensors/chamber & 0 & 0 & 0 & 0 & 0 & 0 \\
Survey targets/chamber       & 4 & 4 & 4 & 4 & 4 & 4 \\
\hline
  
\end{tabular}

\end{small}
\end{center}

\end{table}

%\pagestyle{headings}

\newpage


\begin{table}[h]

\begin{center}
\caption{BMG sMDT chambers summary}
\label{tab:bmg_numbers}

\vspace{4mm}

\begin{tabular}{|l|c|}

\hline
Parameter & Value \\
\hline\hline
Number of chambers & 12 \\
Number of tubes & 4346 \\
Total tube and wire length & 4.87~km \\ 
Total chamber active area & 8.8~m$^2$ \\
Total gas volume & 0.77~m$^3$ \\
Total chamber weight & 1.14~t \\
Number of mezzanine cards & 210 \\
Number of hedgehog boards & 420 \\
Number of CSMs & 12 \\
\hline 

\end{tabular}
\vspace{6mm}


\caption{Nominal wire grid parameters of the BMG chambers from a combined fit of the CMM measurements of the HV and RO sides of all chambers 
(multilayer z-shift sign from RO side). The measured parameters of the individual chambers, including torsion between the RO and HV ends of the chambers, 
and the link to the individual sense wire and axial/praxial alignment sensor platform positions are given in~\cite{BMGnote}.}

\vspace{4mm}

\begin{tabular}{|l|c|}

\hline
Parameter & Value \\
\hline\hline
z pitch [mm]                &  15.0991 \\
y pitch [mm]                &  13.082  \\ 
Multilayer z shift [mm]     &  -0.006  \\
Multilayer y distance [mm]  & 184.980  \\  
\hline
rms$_z$ ($\sigma_z$) [$\mu$m]   &  7.6 (6.2) \\
rms$_y$ ($\sigma_y$) [$\mu$m]   & 10.1 (8.4) \\ 
rms$_r$ ($\sigma_r$) [$\mu$m]   & 10.5 (6.9) \\
\hline 
 
\end{tabular}

\end{center}
\end{table}

\newpage

\begin{figure}[h]

\centering
\includegraphics[angle=90,width=\textwidth]{BMG_drawings.pdf}
\caption{Drawings of a BMG chamber installed in the EYETS January 2017.}
\label{fig:BMG_drawings}

\end{figure}

\newpage


\begin{figure}[h]

\centering
\includegraphics[width=1.1\textwidth]{BMG_labels_numbering_2_1.pdf}
\caption{Tube layout and numbering scheme of the BMG chambers (part 1).}
\label{fig:BMG_labels_1}

\end{figure}

\newpage


\begin{figure}[h]

\centering
\includegraphics[width=\textwidth]{BMG_labels_numbering_2_2.pdf}
\caption{Tube layout and numbering scheme of the BMG chambers (part 2).}
\label{fig:BMG_labels_2}

\end{figure}

\newpage


\begin{table}[h]

\centerline{\LARGE\bf 4. The BIS~7/8 Chambers (Side A)}

%\vspace{1mm}

\begin{center}

\caption{Parameters of BIS~7/8~A chambers~\cite{BIS78proposal,BIS78design}}

%\vspace{1mm}

\begin{small}

\begin{tabular}{|l||c|c|c|c|c|c|}

\hline
Type side A & BIS-78A-2 & BIS-78A-4/6 & BIS-78A-8/10 & BIS-78A-12 & BIS-78A-14 & BIS-78A-16 \\
\hline\hline
Radial distance from beam (mm)      & 4592 & 4550 & 4550 & 4550 & 4550 & 4635  \\
Chamber width in $z$ (mm)           & 1655 & 1655 & 1474 & 1474 & 1474 & 1474  \\
Tubes width in $z$ (mm)             & 1638 & 1638 & 1457 & 1457 & 1457 & 1457  \\
Tubes width in $z$ (mm), long, ML1  & 1185 & 1457 & 1276 & 1004 & 1004 & 1004  \\ 
Tubes width in $z$ (mm), long, ML2  & 1004 & 1457 & 1276 & 823  & 823  & 1004  \\ 
Tubes width in $z$ (mm), cutout     & 461  &      &      & 461  & 461  & 461   \\ 
Tubes width in $z$ (mm), short      & 189  & 189  & 189  & 189  &  189 &  189  \\ 
Tubes width in $z$ (mm), short      & 189  & 189  & 189  & 189  &  189 &  189  \\ \hline
Chamber length in $x$ (mm), long    & 1855 & 1855 & 1855 & 1825 & 1825 & 1855  \\ 
Chamber length in $x$ (mm), cutout  & 1725 &      &      & 1725 & 1725 & 1725  \\ 
Chamber length in $x$ (mm), short   & 1195 & 1195 & 1195 & 1195 & 1195 & 1195  \\ \hline
Aluminium tube length (mm), long    & 1660 & 1660 & 1660 & 1630 & 1630 & 1660  \\
Assembled tube length (mm), long    & 1669 & 1669 & 1669 & 1639 & 1639 & 1669  \\
Sense wire length (mm), long        & 1642 & 1642 & 1642 & 1612 & 1612 & 1642  \\ 
Active tube length (mm), long       & 1589 & 1589 & 1589 & 1559 & 1559 & 1589  \\ \hline
Aluminium tube length (mm), cutout  & 1530 &      &      & 1530 & 1530 & 1530  \\
Assembled tube length (mm), cutout  & 1539 &      &      & 1539 & 1539 & 1539  \\
Sense wire length (mm), cutout      & 1512 &      &      & 1512 & 1512 & 1512  \\ 
Active tube length (mm), cutout     & 1459 &      &      & 1459 & 1459 & 1459  \\ \hline
Aluminium tube length (mm), short   & 1000 & 1000 & 1000 & 1000 & 1000 & 1000  \\
Assembled tube length (mm), short   & 1009 & 1009 & 1009 & 1009 & 1009 & 1009  \\ 
Sense wire length (mm), short       &  982 &  982 &  982 &  982 &  982 &  982  \\ 
Active tube length (mm), short      &  929 &  929 &  929 &  929 &  929 &  929  \\ \hline
Active area/chamber (m$^2$)         & 2.47 & 2.49 & 2.20 & 2.15 & 2.15 & 2.18  \\  
\hline
Tube layers, long/cutout  & $2\times 4$ & $2\times 4$ & $2\times 4$ & $2\times 4$ & $2\times 4$ & $2\times 4$ \\
Tube layers, short/cutout & 4 & 4 & 4 & 4 & 4 & 4 \\
Tubes/layer, long, ML1/2  & 78/66 & 78/96 & 66/84 & 66/54 & 66/54 & 66/54 \\
Tubes/layer, cutout ML2   & 30    &       &       & 30    & 30    & 30    \\
Tubes/layer, short ML2    & 12    & 12    & 12    & 12    & 12    & 12    \\
Tubes/layer, ML1          & 78    & 78    & 65    & 66    & 66    & 66    \\
Tubes/layer, ML2          & 108   & 108   & 96    & 96    & 96    & 96    \\
Tubes/chamber, long       & 576 & 696 & 600 & 480 & 480 & 480 \\
Tubes/chamber, cutout     & 120 &     &     & 120 & 120 & 120 \\
Tubes/chamber, short      &  48 &  48 &  48 &  48 &  48 &  48 \\
Tubes/chamber             & 744 & 744 & 648 & 648 & 648 & 648 \\  
Spacer height (mm), long  & 45.6 & 45.6 & 45.6 & 45.6 & 45.6 & 45.6 \\
Tubes height (mm)         & 139 & 139 & 139 & 139 & 139 & 139 \\
Chamber height (mm)       & 249 & 249 & 249 & 249 & 249 & 249 \\
\hline
Gas volume/chamber (l)    & 188.1 & 190.6 & 165.3 & 160.6 & 160.6 & 162.9 \\
Chamber weight (kg)       & 170   & 170   & 150   &  150  &  150  &  150  \\ 
\hline
Mezz.~cards (24 ch.)/chamber  & 31 & 31 & 27 & 27 & 27 & 27 \\ 
%Mezz.~cards inner ML1 & 13 & 13 & 11 & 11 & 11 & 11 \\
%Mezz.~cards outer ML2 & 18 & 18 & 16 & 16 & 16 & 16 \\
CSMs/chamber & 2 & 2 & 2 & 2 & 2 & 2 \\
T-sensors/chamber             & 16 & 16 & 16 & 16 & 16 & 16 \\ 
B-field sensors/chamber       &  2 &  2 &  2 &  2 &  2 &  2 \\
In-plane alignment systems/chamber &  4 &  4 &  4 &  4 &  4 &  4 \\
Axial alignment sensors/chamber &  2 &  2 &  2 &  2 &  2 &  2 \\
Praxial alignment sensors/chamber &  4 &  4 &  4 &  4 &  4 &  4 \\
CCC alignment sensors/chamber &  2 &  2 &  2 &  2 &  2 &  2 \\
Endcap-barrel sensors/chamber &  2 &  2 &  2 &  2 &  2 &  2 \\
Survey targets/chamber        &  2 & 2 & 2 & 2 & 2 & 2 \\
\hline

\end{tabular}
\end{small}
\end{center}

\end{table}
\newpage




\begin{table}[h]

\centerline{\LARGE\bf BIS~7/8 Chambers (Side C)}
%\vspace{1mm}

\begin{center}

\caption{Parameters of BIS~7/8~C chambers~\cite{BIS78proposal,BIS78design}}

%\vspace{1mm}


\begin{small}

\begin{tabular}{|l||c|c|c|c|c|c|}

\hline
Type side C & BIS-78C-2 & BIS-78C-4/6 & BIS-78C-8/10 & BIS-78C-12 & BIS-78C-14 & BIS-78C-16 \\
\hline\hline
Radial distance from beam (mm)      & 4635 & 4550 & 4550 & 4550 & 4550 & 4635 \\
Chamber width in $z$ (mm)           & 1655 & 1655 & 1474 & 1474 & 1474 & 1474 \\
Tubes width in $z$ (mm)             & 1638 & 1638 & 1457 & 1457 & 1457 & 1457 \\
Tubes width in $z$ (mm), long, ML1  & 1185 & 1457 & 1276 & 1004 & 1004 & 1004 \\ 
Tubes width in $z$ (mm), long, ML2  & 1004 & 1457 & 1276 & 823  & 823  & 1004 \\ 
Tubes width in $z$ (mm), cutout     & 461  &      &      & 461  & 461  & 461  \\ 
Tubes width in $z$ (mm), short      & 189  & 189  & 189  & 189  &  189 &  189 \\ \hline
Chamber length in $x$ (mm), long    & 1855 & 1855 & 1855 & 1825 & 1825 & 1855 \\ 
Chamber length in $x$ (mm), cutout  & 1725 &      &      & 1725 & 1725 & 1725 \\ 
Chamber length in $x$ (mm), short   & 1195 & 1195 & 1195 & 1195 & 1195 & 1195 \\ \hline
Aluminium tube length (mm), long    & 1660 & 1660 & 1660 & 1630 & 1630 & 1660 \\
Assembled tube length (mm), long    & 1669 & 1669 & 1669 & 1639 & 1639 & 1669 \\
Sense wire length (mm), long        & 1642 & 1642 & 1642 & 1612 & 1612 & 1642 \\ 
Active tube length (mm), long       & 1589 & 1589 & 1589 & 1559 & 1559 & 1589 \\ \hline
Aluminium tube length (mm), cutout  & 1530 &      &      & 1530 & 1530 & 1530 \\
Assembled tube length (mm), cutout  & 1539 &      &      & 1539 & 1539 & 1539 \\
Sense wire length (mm), cutout      & 1512 &      &      & 1512 & 1512 & 1512 \\
Active tube length (mm), cutout     & 1459 &      &      & 1459 & 1459 & 1459 \\ \hline
Aluminium tube length (mm), short   & 1000 & 1000 & 1000 & 1000 & 1000 & 1000 \\
Assembled tube length (mm), short   & 1009 & 1009 & 1009 & 1009 & 1009 & 1009 \\
Sense wire length (mm), short       &  982 &  982 &  982 &  982 &  982 &  982 \\ 
Active tube length (mm), short      &  929 &  929 &  929 &  929 &  929 &  929 \\ \hline
Active area/chamber (m$^2$)         & 2.47 & 2.49 & 2.20 & 2.15 & 2.15 & 2.18 \\      
\hline
Tube layers, long/cutout  & $2\times 4$ & $2\times 4$ & $2\times 4$ & $2\times 4$ & $2\times 4$ & $2\times 4$ \\
Tube layers, short/cutout & 4 & 4 & 4 & 4 & 4 & 4 \\
Tubes/layer, long, ML1/2  & 78/66 & 78/96 & 66/84 & 66/54 & 66/54 & 66/54 \\
Tubes/layer, cutout ML2   & 30    &       &       & 30    & 30    & 30    \\
Tubes/layer, short ML2    & 12    & 12    & 12    & 12    & 12    & 12    \\
Tubes/layer, ML1          & 78    & 78    & 66    & 66    & 66    & 66    \\
Tubes/layer, ML2          & 108   & 108   & 96    & 96    & 96    & 96    \\
Tubes/chamber, long       & 576 & 696 & 600 & 480 & 480 & 480 \\
Tubes/chamber, cutout     & 120 &     &     & 120 & 120 & 120 \\
Tubes/chamber, short      &  48 &  48 &  48 &  48 &  48 &  48 \\
Tubes/chamber             & 744 & 744 & 648 & 648 & 648 & 648 \\  
Spacer height (mm), long  & 45.6 & 45.6 & 45.6 & 45.6 & 45.6 & 45.6 \\
Tubes height (mm)         & 139 & 139 & 139 & 139 & 139 & 139 \\
Chamber height (mm)       & 249 & 249 & 249 & 249 & 249 & 249 \\
\hline
Gas volume/chamber (l)    & 188.1 & 190.6 & 165.3 & 160.6 & 160.6 & 162.9 \\
Chamber weight (kg)       &  170  &  170  &  150  &  150  &  150  &  150  \\ 
\hline
Mezz.~cards (24 ch.)/chamber  & 31 & 31 & 27 & 27 & 27 & 27 \\ 
%Mezz.~cards inner ML1 & 13 & 13 & 11 & 11 & 11 & 11 \\
%Mezz.~cards outer ML2 & 18 & 18 & 16 & 16 & 16 & 16 \\
CSMs/chamber & 2 & 2 & 2 & 2 & 2 & 2 \\
T-sensors/chamber             & 16 & 16 & 16 & 16 & 16 & 16 \\ 
B-field sensors/chamber       &  2 &  2 &  2 &  2 &  2 &  2 \\
In-plane alignment systems/chamber &  4 &  4 &  4 &  4 &  4 &  4 \\
Axial alignment sensors/chamber &  2 &  2 &  2 &  2 &  2 &  2 \\
Praxial alignment sensors/chamber &  4 &  4 &  4 &  4 &  4 &  4 \\
CCC alignment sensors/chamber &  2 &  2 &  2 &  2 &  2 &  2 \\
Endcap-barrel sensors/chamber &  2 &  2 &  2 &  2 &  2 &  2 \\
Survey targets/chamber        & 2 & 2 & 2 & 2 & 2 & 2 \\
\hline

\end{tabular}
\end{small}
\end{center}

\end{table}

\newpage


\begin{table}[h]


\begin{center}
\caption{BIS~7/8 sMDT chambers summary}
\label{tab:bis78_numbers}

\vspace{4mm}


\begin{tabular}{|l|c|}

\hline
Parameter & Value \\
\hline\hline
Number of chambers & 16 \\
Number of tubes, long   & 9216 \\
Number of tubes, cutout & 960 \\
Number of tubes, short  & 768 \\
Number of tubes, total  & 10944 \\
Total tube length, long   & 10.94~km \\
Total tube length, cutout & 1.47~km \\ 
Total tube length short  &  0.77~km \\
Total tube and wire length & 13.2~km \\ 
Total chamber active area & 36.7~m$^2$ \\
Total gas volume & 2.77~m$^3$ \\
Total chamber weight & 1.88~t \\
Number of mezzanine cards & 456 \\
Number of hedgehog boards & 912 \\
Number of CSMs & 32 \\
\hline 

\end{tabular}


\vspace{6mm}
\caption{Nominal wire grid parameters of the BIS~7/8 chambers from a combined fit of the CMM measurements of the HV and RO sides of all chambers 
(multilayer z-shift sign from RO side).} 

\vspace{4mm}

\begin{tabular}{|l|c|}

\hline
Parameter & Value \\
\hline\hline
z pitch [mm]                &  15.0991 \\
y pitch [mm]                &  13.0889  \\ 
Multilayer z shift [mm]     &  0.015  \\
Multilayer y distance [mm]  &  45.59  \\  
\hline
rms$_z$ ($\sigma_z$) [$\mu$m]   &  12 (12) \\
rms$_y$ ($\sigma_y$) [$\mu$m]   &  17 (16) \\ 
rms$_r$ ($\sigma_r$) [$\mu$m]   &  14 (13) \\
\hline 
 
\end{tabular}

\end{center}
\end{table}


\newpage


\begin{figure}[th]

\centering
\includegraphics[angle=90,width=\textwidth]{BIS78_3D_sMDT.pdf}
\caption{Drawings of a BIS~7/8 chamber (sectors 4 and 6 on side C) for phase~1 upgrade.}
\label{fig:BIS78_drawings}

\end{figure}

\newpage



\begin{figure}[th]

\centering
%\includegraphics[angle=90,width=\textwidth]{BIS-78A-02_layout.pdf}
\includegraphics[width=\textwidth]{ATLMSB__0007_BIS78_A2_finalRPC.pdf}
\caption{Layout of a BIS-78A-02 chamber~\cite{BIS78layout}.}

\end{figure}

\newpage


\begin{figure}[th]

\centering
\includegraphics[angle=90,width=\textwidth]{BIS-78C-02_layout.pdf}
\caption{Layout of a BIS-78C-02 chamber~\cite{BIS78layout}.}

\end{figure}

\newpage


\begin{figure}[th]

\centering
%\includegraphics[angle=90,width=\textwidth]{BIS-78A-04-06_layout.pdf}
%\caption{Layout of BIS-78A-04 and BIS-78A-06 chambers~\cite{BIS78layout}.}
\includegraphics[width=\textwidth]{ATLMSB__0008_BIS78_A4_finalRPC.pdf}
\caption{Layout of a BIS-78A-04 chamber~\cite{BIS78layout}.}

\end{figure}

\newpage


\begin{figure}[th]

\centering
\includegraphics[angle=90,width=\textwidth]{BIS-78C-04-06_layout.pdf}
\caption{Layout of a BIS-78C-04 chamber~\cite{BIS78layout}.}

\end{figure}

\newpage



\begin{figure}[th]

\centering
%\includegraphics[angle=90,width=\textwidth]{BIS-78C-04-06_layout.pdf}
%\caption{Layout of BIS-78C-04 and BIS-78C-06 chambers~\cite{BIS78layout}.}
\includegraphics[width=\textwidth]{ATLMSB__0011_BIS78_A6_finalRPC.pdf}
\caption{Layout of a BIS-78A-06 chamber~\cite{BIS78layout}.}

\end{figure}

\newpage

\begin{figure}[th]

\centering
\includegraphics[angle=90,width=\textwidth]{BIS-78C-04-06_layout.pdf}
\caption{Layout of a BIS-78C-06 chamber~\cite{BIS78layout}.}

\end{figure}

\newpage


\begin{figure}[th]

\centering
%\includegraphics[angle=90,width=\textwidth]{BIS-78A-08-10_layout.pdf}
%\caption{Layout of BIS-78A-08 and BIS-78A-10 chambers~\cite{BIS78layout}.}
\includegraphics[width=\textwidth]{ATLMSB__0009_BIS78_A8_finalRPC.pdf}
\caption{Layout of a BIS-78A-08 chamber~\cite{BIS78layout}.}

\end{figure}

\newpage



\begin{figure}[th]

\centering
\includegraphics[angle=90,width=\textwidth]{BIS-78C-08-10_layout.pdf}
\caption{Layout of a BIS-78C-08 chamber~\cite{BIS78layout}.}

\end{figure}

\newpage



\begin{figure}[th]

\centering
%\includegraphics[angle=90,width=\textwidth]{BIS-78C-08-10_layout.pdf}
%\caption{Layout of BIS-78C-08-10 chamber~\cite{BIS78layout}.}
\includegraphics[width=\textwidth]{ATLMSB__0012_BIS78_A10_finalRPC.pdf}
\caption{Layout of a BIS-78A-10 chamber~\cite{BIS78layout}.}

\end{figure}

\newpage


\begin{figure}[th]

\centering
\includegraphics[angle=90,width=\textwidth]{BIS-78C-08-10_layout.pdf}
\caption{Layout of a BIS-78C-10 chamber~\cite{BIS78layout}.}

\end{figure}

\newpage


\begin{figure}[th]

\centering
%\includegraphics[angle=90,width=\textwidth]{BIS-78A-12_BIS-78C-14_layout.pdf}
%\caption{Layout of BIS-78A-12 and BIS-78C-14 chambers~\cite{BIS78layout}.}
\includegraphics[width=\textwidth]{ATLMSB__0005_BIS78_A12_C14_finalRPC.pdf}
\caption{Layout of a BIS-78A-12 chamber~\cite{BIS78layout}.}

\end{figure}

\newpage


\begin{figure}[th]

\centering
%\includegraphics[angle=90,width=\textwidth]{BIS-78C-12_BIS-78A-14_layout.pdf}
%\caption{Layout of BIS-78C-12 and BIS-78A-14 chambers~\cite{BIS78layout}.}
\includegraphics[width=\textwidth]{ATLMSB__0004_BIS78_A14_C12_finalRPC.pdf}
\caption{Layout of a BIS-78C-12 chamber~\cite{BIS78layout}.}

\end{figure}

\newpage

\begin{figure}[th]

\centering
%\includegraphics[angle=90,width=\textwidth]{BIS-78C-12_BIS-78A-14_layout.pdf}
%\caption{Layout of BIS-78C-12 and BIS-78A-14 chambers~\cite{BIS78layout}.}
\includegraphics[width=\textwidth]{ATLMSB__0004_BIS78_A14_C12_finalRPC.pdf}
\caption{Layout of a BIS-78A-14 chambers~\cite{BIS78layout}.}

\end{figure}

\newpage


\begin{figure}[th]

\centering
%\includegraphics[angle=90,width=\textwidth]{BIS-78A-12_BIS-78C-14_layout.pdf}
%\caption{Layout of BIS-78A-12 and BIS-78C-14 chambers~\cite{BIS78layout}.}
\includegraphics[width=\textwidth]{ATLMSB__0005_BIS78_A12_C14_finalRPC.pdf}
\caption{Layout of a BIS-78C-14 chamber~\cite{BIS78layout}.}

\end{figure}

\newpage


\begin{figure}[th]

\centering
%\includegraphics[angle=90,width=\textwidth]{BIS-78A-16_layout.pdf}
\includegraphics[width=\textwidth]{ATLMSB__0010_BIS78_A16_finalRPC.pdf}
\caption{Layout of a BIS-78A-16 chamber~\cite{BIS78layout}.}

\end{figure}

\newpage


\begin{figure}[th]

\centering
\includegraphics[angle=90,width=\textwidth]{BIS-78C-16_layout.pdf}
\caption{Layout of a BIS-78C-16 chamber~\cite{BIS78layout}.}

\end{figure}

\newpage




\begin{table}[h]


\centerline{\LARGE\bf 5. The BIS~1-6 Chambers}

\vspace{6mm}

\begin{center}

\caption{Parameters of BIS~1-6 chambers~\cite{MuonIDR}}

\vspace{4mm}

\begin{tabular}{|l|c|c|}
\hline
Type & BIS~1 & BIS~2-6 \\
\hline\hline
Number of chambers & 16 & 80 \\
Radial distance from beam axis (mm) & 4550 (4635)$^\ast$ & 4550 (4635)$^\ast$ \\
\hline
Chamber width in $z$ (mm)  & 1097 &  916 \\
Tubes width in $z$ (mm)    & 1065 &  884 \\
Chamber length in $x$ (mm) & 1796 & 1796 \\
Aluminum tube length (mm)  & 1615 & 1615 \\
Assembled tube length (mm) & 1624 & 1624 \\
Sense wire length (mm)     & 1597 & 1597 \\
Active tube length (mm)    & 1544 & 1544 \\
Gas volume length (mm)     & 1574 & 1574 \\ 
Active area/chamber (m$^2$)& 1.64 & 1.36 \\
\hline
Tube layers & $2\times 4$ & $2\times 4$ \\
Tubes/layer & 70 & 58 \\
Tubes/chamber & 560 & 464 \\
Spacer height (mm)  & 45.6 & 45.6 \\
Multilayer height (mm)   & 139 & 139 \\
Chamber height (mm) & 249 & 249 \\
\hline
Gas volume/chamber (l) & 139.4 & 115.5 \\
Chamber weight (kg)    & 140 &  115 \\
\hline
Mezz.~cards (24 ch.)/chamber  & 24 & 20 \\
%Mezz.~cards inner ML1 & 10 & 10 \\
%Mezz.~cards outer ML2 & 10 & 10 \\
CSMs/chamber & 2 & 2 \\
T sensors/chamber             & 10 & 10 \\
B-field sensors/chamber       &  2 &  2 \\
In-plane alignment systems/chamber &  4 &  4 \\
Axial alignment sensors/chamber &  2 &  4 \\
Praxial alignment sensors/chamber &  4 &  8 \\
CCC alignment sensors/chamber &  2 &  0 \\
Survey targets/chamber        &  4 &  4 \\
\hline
  
\end{tabular}
\vspace{1mm}

$^\ast$ Numbers in brackets refer to sectors 2 and 16.

\vspace{5mm}


\caption{BIS~1-6 sMDT chambers summary}
\label{tab:bis16_numbers}

\vspace{4mm}

\begin{tabular}{|l|c|}
\hline
Parameter & Value \\
\hline\hline
Number of chambers & 96 \\
Number of tubes & 46080 \\
Total tube and wire length & 74.5~km \\ 
Total chamber active area & 135~m$^2$ \\
Total gas volume & 114.7~m$^3$ \\
Total chamber weight & 11.5 tons \\
Number of mezzanine cards & 1984 \\
Number of hedgehog boards & 3968 \\
Number of CSMs & 192 \\
\hline 

\end{tabular}

\end{center}

\end{table}


\newpage

\begin{figure}[th]

\vspace{-10mm}

\centering
%\includegraphics[width=1.15\textwidth]{BIS_sMDT_layout_2.pdf}
\includegraphics[angle=90,width=1.07\textwidth]{104-212400-00_A_new_VAR8_1.pdf}
\caption{Layout of the BIS~1-6 sMDT chambers for the phase~2 upgrade.}

\end{figure}

\newpage

\begin{figure}[th]

\vspace{-47mm}

\begin{center}
%\includegraphics[width=1.15\textwidth]{BIS_sMDT_layout_2.pdf}
\includegraphics[width=\textwidth]{104-212400-00_A_new_VAR8_2.pdf}

\vspace{-40mm}

\caption{Layout of the BIS~1-6 sMDT chambers for the phase~2 upgrade (enlarged}.}
\end{center}


\vspace{-10mm}

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\bibitem{ATLASpaper}
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\bibitem{MDTperf}
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\end{thebibliography}

\end{figure}

\end{document}
