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+++ b/ptbposter/poster-ce/ptbposter-ce-XXX.tex @@ -0,0 +1,76 @@ + +\documentclass[english,sanserif]{ptbposter} +%\documentclass[ngerman,sanserif]{ptbposter} + +\addtokomafont{caption}{\scriptsize}% hässlich!!! + +\phone{+49-30-3481-7262} +\fax{+49-30-3481-7503} +\email{Karl.Jousten@ptb.de} +\workingGroup{7.54 Vacuum Metrology} +\department{7.5 Heat and Vacuum} +\location{10587 Berlin} +\street{Abbestraße 2--12} +\QRcode{http://www.ptb.de/cms/fachabteilungen/abt7/fb-75/ag-754.html} + +\title{\huge Continuous Expansion} + +\begin{document} +\begin{multicols}{2} +\section{Method} + +In the continuous expansion method, the pressure is reduced by a restriction. The gas flows continuously from a volume at relativ high pressure into the calibration chamber and thereafter to the vacuum pump. + + + \includegraphics[width=0.9\columnwidth]{method-poster-en} + %\caption{Korrekturen der Keithley} + +The pressure in the calibration chamber is given by: + +\begin{equation} +p= \frac{q_{pv}}{C} \qquad + \begin{tabular}{@{}lll@{}} + $q_{pV}$& & Gas flow \\ + $C$ & & Conductance \\ + \end{tabular} +\end{equation} + +\section{The Primary Standard CE-3} + +\includegraphics[width=0.5\columnwidth]{CE_3} + +At the PTB, pressures in the range $10^{-10}$ Pa to $10^{-2}$ Pa are generated by the primary standard CE-3, based on the continuous expansion method. This method was improved to enlarge the calibration range. +For these purposes two calibration chambers (UHV-chamber $V_1$ and XHV-chamber $V_2$ (Figure 3))and two cryo pumps were used. Between these chambers a flow divider channels about 99\% of the gas flow into $V_1$ and 1\% into $V_2$. +Thus the gas flow in $V_2$ will be about a factor 100 lower than in $V_1$. The gas flow $q_{pv}$ is produced and measured by the flowmeter FM-3. + +\begin{figure} +\includegraphics[width=0.9\columnwidth]{Skizze-poster-en} +\caption{Scheme} +\end{figure} + +Cold surfaces at 2.6 K pump the gas molecules exiting from the two calibration chambers through the pump orifices. The high condensation probability of the gas molecules on these surfaces avoids backstreaming for most gas species into the calibration chamber. As a result the orifices act as a “black hole†for the gas molecules. If both cryo pumps operate, the gas flow $q_{pV}$ is subdivided into two gas flows into the respective chambers : +\begin{equation} +q_{pv}= q_{01}+q_{02} \qquad +\end{equation} +If only cryo pump KP1 operates, the calibration pressure in volume V 1 is given by: +\begin{equation} +p_1= \frac{q_{pv}}{\gamma_1 C_1}\cdot \frac{\sqrt{T_{CH_1}T_0}}{T_{FM}} \qquad + \begin{tabular}{@{}lll@{}} + $T_{CH1}$ & Temperatur of $V_1$ & \\ + $T_{FM}$& Temperatur of flowmeter& \\ + $\gamma_1$ & factor accounting back- & \\ + & streaming ($\approx1$) & \\ + $q_{pV}$& Gas flow rate & \\ + $T_{0}$& Reference & \\ + & temperatur 23°C & \\ + $C_1$& Conductance of orifice & \\ + \end{tabular} +\end{equation} + + +\includegraphics[width=0.8\columnwidth]{uns-ce34evc} +\end{multicols} + +\end{document} + + diff --git a/ptbposter/poster-ce/ptbposter-ce.aux b/ptbposter/poster-ce/ptbposter-ce.aux new file mode 100644 index 0000000..56076df --- /dev/null +++ b/ptbposter/poster-ce/ptbposter-ce.aux @@ -0,0 +1,29 @@ 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language dflt +luaotfload | aux : no font with id 45 + +Package fontspec Warning: OpenType feature 'Numbers=Uppercase' (lnum) not +(fontspec) available for font 'FiraMath-Regular' with script +(fontspec) 'Math' and language 'Default'. + +luaotfload | aux : font no 45 (nil) does not define feature tnum for script math + with language dflt +luaotfload | aux : no font with id 45 + +Package fontspec Warning: OpenType feature 'Numbers=Uppercase' (tnum) not +(fontspec) available for font 'FiraMath-Regular' with script +(fontspec) 'Math' and language 'Default'. + +luaotfload | aux : font no 45 (nil) does not define feature lnum for script math + with language dflt +luaotfload | aux : no font with id 45 + +Package fontspec Warning: OpenType feature 'Numbers=Uppercase' (lnum) not +(fontspec) available for font 'FiraMath-Regular' with script +(fontspec) 'Math' and language 'Default'. + +luaotfload | aux : font no 45 (nil) does not define feature tnum for script math + with language dflt +luaotfload | aux : no font with id 45 + +Package fontspec Warning: OpenType feature 'Numbers=Uppercase' (tnum) not +(fontspec) available for font 'FiraMath-Regular' with script +(fontspec) 'Math' and language 'Default'. + +luaotfload | aux : font no 45 (nil) does not define feature lnum for script math + with language dflt +luaotfload | aux : no font with id 45 + +Package fontspec Warning: OpenType feature 'Numbers=Uppercase' (lnum) not +(fontspec) available for font 'FiraMath-Regular' with script +(fontspec) 'Math' and language 'Default'. + +luaotfload | aux : font no 45 (nil) does not define feature tnum for script math + with language dflt +luaotfload | aux : no font with id 45 + +Package fontspec Warning: OpenType feature 'Numbers=Uppercase' (tnum) not +(fontspec) available for font 'FiraMath-Regular' with script +(fontspec) 'Math' and language 'Default'. + +luaotfload | aux : font no 45 (nil) does not define feature lnum for script math + with language dflt +luaotfload | aux : no font with id 45 + +Package fontspec Warning: OpenType feature 'Numbers=Uppercase' (lnum) not +(fontspec) available for font 'FiraMath-Regular' with script +(fontspec) 'Math' and language 'Default'. + +luaotfload | aux : font no 45 (nil) does not define feature tnum for script math + with language dflt +luaotfload | aux : no font with id 45 + +Package fontspec Warning: OpenType feature 'Numbers=Uppercase' (tnum) not +(fontspec) available for font 'FiraMath-Regular' with script +(fontspec) 'Math' and language 'Default'. + + +Package fontspec Info: Font family 'FiraMath-Regular.otf(1)' created for font +(fontspec) 'FiraMath-Regular.otf' with options +(fontspec) [Renderer=Basic,BoldItalicFont={},ItalicFont={},SmallCaps +Font={},Script=Math,SizeFeatures={{Size=9.417-},{Size=7.1175-9.417,Font=FiraMath +-Regular.otf,Style=MathScript},{Size=-7.1175,Font=FiraMath-Regular.otf,Style=Mat +hScriptScript}},FontAdjustment={\__um_luatex_copy_fontdimens: +(fontspec) },Scale={1},Numbers={Lining,Monospaced}]. +(fontspec) +(fontspec) This font family consists of the following NFSS +(fontspec) series/shapes: +(fontspec) +(fontspec) - 'normal' (m/n) with NFSS spec.: +(fontspec) <9.417->s*[1]"[FiraMath-Regular.otf]:mode=base;script=mat +h;language=DFLT;"<7.1175-9.417>s*[1]"[FiraMath-Regular.otf]:mode=base;script=mat +h;language=DFLT;+ssty=0;"<-7.1175>s*[1]"[FiraMath-Regular.otf]:mode=base;script= +math;language=DFLT;+ssty=1;" +(fontspec) - 'small caps' (m/sc) with NFSS spec.: +(fontspec) and font adjustment code: +(fontspec) \__um_luatex_copy_fontdimens: + +LaTeX Font Info: Font shape `TU/FiraMath-Regular.otf(1)/m/n' will be +(Font) scaled to size 10.95pt on input line 68. +LaTeX Font Info: Encoding `OT1' has changed to `TU' for symbol font +(Font) `operators' in the math version `normal' on input line 68. +LaTeX Font Info: Overwriting symbol font `operators' in version `normal' +(Font) OT1/cmr/m/n --> TU/FiraMath-Regular.otf(1)/m/n on input +line 68. +LaTeX Font Info: Encoding `OT1' has changed to `TU' for symbol font +(Font) `operators' in the math version `bold' on input line 68. +LaTeX Font Info: Overwriting symbol font `operators' in version `bold' +(Font) OT1/cmr/bx/n --> TU/FiraMath-Regular.otf(1)/bx/n on inpu +t line 68. + +Package fontspec Info: FiraMath-Regular scale = 1.0001. + +luaotfload | aux : font no 45 (nil) does not define feature lnum for script math + with language dflt +luaotfload | aux : no font with id 45 + +Package fontspec Warning: OpenType feature 'Numbers=Uppercase' (lnum) not +(fontspec) available for font 'FiraMath-Regular' with script +(fontspec) 'Math' and language 'Default'. + +luaotfload | aux : font no 45 (nil) does not define feature tnum for script math + with language dflt +luaotfload | aux : no font with id 45 + +Package fontspec Warning: OpenType feature 'Numbers=Uppercase' (tnum) not +(fontspec) available for font 'FiraMath-Regular' with script +(fontspec) 'Math' and language 'Default'. + + +Package fontspec Info: FiraMath-Regular scale = 1.0001. + +luaotfload | aux : font no 45 (nil) does not define feature lnum for script math + with language dflt +luaotfload | aux : no font with id 45 + +Package fontspec Warning: OpenType feature 'Numbers=Uppercase' (lnum) not +(fontspec) available for font 'FiraMath-Regular' with script +(fontspec) 'Math' and language 'Default'. + +luaotfload | aux : font no 45 (nil) does not define feature tnum for script math + with language dflt +luaotfload | aux : no font with id 45 + +Package fontspec Warning: OpenType feature 'Numbers=Uppercase' (tnum) not +(fontspec) available for font 'FiraMath-Regular' with script +(fontspec) 'Math' and language 'Default'. + + +Package fontspec Info: FiraMath-Regular scale = 1.0001. + +luaotfload | aux : font no 45 (nil) does not define feature lnum for script math + with language dflt +luaotfload | aux : no font with id 45 + +Package fontspec Warning: OpenType feature 'Numbers=Uppercase' (lnum) not +(fontspec) available for font 'FiraMath-Regular' with script +(fontspec) 'Math' and language 'Default'. + +luaotfload | aux : font no 45 (nil) does not define feature tnum for script math + with language dflt +luaotfload | aux : no font with id 45 + +Package fontspec Warning: OpenType feature 'Numbers=Uppercase' (tnum) not +(fontspec) available for font 'FiraMath-Regular' with script +(fontspec) 'Math' and language 'Default'. + + +Package fontspec Info: FiraMath-Regular scale = 1.0001. + +luaotfload | aux : font no 45 (nil) does not define feature lnum for script math + with language dflt +luaotfload | aux : no font with id 45 + +Package fontspec Warning: OpenType feature 'Numbers=Uppercase' (lnum) not +(fontspec) available for font 'FiraMath-Regular' with script +(fontspec) 'Math' and language 'Default'. + +luaotfload | aux : font no 45 (nil) does not define feature tnum for script math + with language dflt +luaotfload | aux : no font with id 45 + +Package fontspec Warning: OpenType feature 'Numbers=Uppercase' (tnum) not +(fontspec) available for font 'FiraMath-Regular' with script +(fontspec) 'Math' and language 'Default'. + + +Package fontspec Info: Font family 'FiraMath-Regular.otf(2)' created for font +(fontspec) 'FiraMath-Regular.otf' with options +(fontspec) [Renderer=Basic,BoldItalicFont={},ItalicFont={},SmallCaps +Font={},Script=Math,SizeFeatures={{Size=9.417-},{Size=7.1175-9.417,Font=FiraMath +-Regular.otf,Style=MathScript},{Size=-7.1175,Font=FiraMath-Regular.otf,Style=Mat +hScriptScript}},FontAdjustment={\__um_luatex_copy_fontdimens: +(fontspec) },Scale={1},Numbers={Lining,Monospaced},ScaleAgain=1.0001 +,FontAdjustment={\fontdimen +(fontspec) 8\font =6.351pt\relax \fontdimen 9\font +(fontspec) =4.92749pt\relax \fontdimen 10\font =4.92749pt\relax +(fontspec) \fontdimen 11\font =7.665pt\relax \fontdimen 12\font +(fontspec) =5.256pt\relax \fontdimen 13\font =4.37999pt\relax +(fontspec) \fontdimen 14\font =4.37999pt\relax \fontdimen 15\font +(fontspec) =2.9565pt\relax \fontdimen 16\font =3.83249pt\relax +(fontspec) \fontdimen 17\font =3.83249pt\relax \fontdimen 18\font +(fontspec) =3.94199pt\relax \fontdimen 19\font =2.73749pt\relax +(fontspec) \fontdimen 22\font =3.066pt\relax \fontdimen 20\font +(fontspec) =0pt\relax \fontdimen 21\font =0pt\relax }]. +(fontspec) +(fontspec) This font family consists of the following NFSS +(fontspec) series/shapes: +(fontspec) +(fontspec) - 'normal' (m/n) with NFSS spec.: +(fontspec) <9.417->s*[1.0001]"[FiraMath-Regular.otf]:mode=base;scrip +t=math;language=DFLT;"<7.1175-9.417>s*[1.0001]"[FiraMath-Regular.otf]:mode=base; +script=math;language=DFLT;+ssty=0;"<-7.1175>s*[1.0001]"[FiraMath-Regular.otf]:mo +de=base;script=math;language=DFLT;+ssty=1;" +(fontspec) - 'small caps' (m/sc) with NFSS spec.: +(fontspec) and font adjustment code: +(fontspec) \__um_luatex_copy_fontdimens: \fontdimen 8\font +(fontspec) =6.351pt\relax \fontdimen 9\font =4.92749pt\relax +(fontspec) \fontdimen 10\font =4.92749pt\relax \fontdimen 11\font +(fontspec) =7.665pt\relax \fontdimen 12\font =5.256pt\relax +(fontspec) \fontdimen 13\font =4.37999pt\relax \fontdimen 14\font +(fontspec) =4.37999pt\relax \fontdimen 15\font =2.9565pt\relax +(fontspec) \fontdimen 16\font =3.83249pt\relax \fontdimen 17\font +(fontspec) =3.83249pt\relax \fontdimen 18\font =3.94199pt\relax +(fontspec) \fontdimen 19\font =2.73749pt\relax \fontdimen 22\font +(fontspec) =3.066pt\relax \fontdimen 20\font =0pt\relax \fontdimen +(fontspec) 21\font =0pt\relax + +LaTeX Font Info: Encoding `OMS' has changed to `TU' for symbol font +(Font) `symbols' in the math version `normal' on input line 68. +LaTeX Font Info: Overwriting symbol font `symbols' in version `normal' +(Font) OMS/cmsy/m/n --> TU/FiraMath-Regular.otf(2)/m/n on input + line 68. +LaTeX Font Info: Encoding `OMS' has changed to `TU' for symbol font +(Font) `symbols' in the math version `bold' on input line 68. +LaTeX Font Info: Overwriting symbol font `symbols' in version `bold' +(Font) OMS/cmsy/b/n --> TU/FiraMath-Regular.otf(2)/bx/n on inpu +t line 68. + +Package fontspec Info: FiraMath-Regular scale = 0.9999. + +luaotfload | aux : font no 45 (nil) does not define feature lnum for script math + with language dflt +luaotfload | aux : no font with id 45 + +Package fontspec Warning: OpenType feature 'Numbers=Uppercase' (lnum) not +(fontspec) available for font 'FiraMath-Regular' with script +(fontspec) 'Math' and language 'Default'. + +luaotfload | aux : font no 45 (nil) does not define feature tnum for script math + with language dflt +luaotfload | aux : no font with id 45 + +Package fontspec Warning: OpenType feature 'Numbers=Uppercase' (tnum) not +(fontspec) available for font 'FiraMath-Regular' with script +(fontspec) 'Math' and language 'Default'. + + +Package fontspec Info: FiraMath-Regular scale = 0.9999. + +luaotfload | aux : font no 45 (nil) does not define feature lnum for script math + with language dflt +luaotfload | aux : no font with id 45 + +Package fontspec Warning: OpenType feature 'Numbers=Uppercase' (lnum) not +(fontspec) available for font 'FiraMath-Regular' with script +(fontspec) 'Math' and language 'Default'. + +luaotfload | aux : font no 45 (nil) does not define feature tnum for script math + with language dflt +luaotfload | aux : no font with id 45 + +Package fontspec Warning: OpenType feature 'Numbers=Uppercase' (tnum) not +(fontspec) available for font 'FiraMath-Regular' with script +(fontspec) 'Math' and language 'Default'. + + +Package fontspec Info: FiraMath-Regular scale = 0.9999. + +luaotfload | aux : font no 45 (nil) does not define feature lnum for script math + with language dflt +luaotfload | aux : no font with id 45 + +Package fontspec Warning: OpenType feature 'Numbers=Uppercase' (lnum) not +(fontspec) available for font 'FiraMath-Regular' with script +(fontspec) 'Math' and language 'Default'. + +luaotfload | aux : font no 45 (nil) does not define feature tnum for script math + with language dflt +luaotfload | aux : no font with id 45 + +Package fontspec Warning: OpenType feature 'Numbers=Uppercase' (tnum) not +(fontspec) available for font 'FiraMath-Regular' with script +(fontspec) 'Math' and language 'Default'. + + +Package fontspec Info: FiraMath-Regular scale = 0.9999. + +luaotfload | aux : font no 45 (nil) does not define feature lnum for script math + with language dflt +luaotfload | aux : no font with id 45 + +Package fontspec Warning: OpenType feature 'Numbers=Uppercase' (lnum) not +(fontspec) available for font 'FiraMath-Regular' with script +(fontspec) 'Math' and language 'Default'. + +luaotfload | aux : font no 45 (nil) does not define feature tnum for script math + with language dflt +luaotfload | aux : no font with id 45 + +Package fontspec Warning: OpenType feature 'Numbers=Uppercase' (tnum) not +(fontspec) available for font 'FiraMath-Regular' with script +(fontspec) 'Math' and language 'Default'. + + +Package fontspec Info: Font family 'FiraMath-Regular.otf(3)' created for font +(fontspec) 'FiraMath-Regular.otf' with options +(fontspec) [Renderer=Basic,BoldItalicFont={},ItalicFont={},SmallCaps +Font={},Script=Math,SizeFeatures={{Size=9.417-},{Size=7.1175-9.417,Font=FiraMath +-Regular.otf,Style=MathScript},{Size=-7.1175,Font=FiraMath-Regular.otf,Style=Mat +hScriptScript}},FontAdjustment={\__um_luatex_copy_fontdimens: +(fontspec) },Scale={1},Numbers={Lining,Monospaced},ScaleAgain=0.9999 +,FontAdjustment={\fontdimen +(fontspec) 8\font =0.8322pt\relax \fontdimen 9\font +(fontspec) =1.64249pt\relax \fontdimen 10\font =1.64249pt\relax +(fontspec) \fontdimen 11\font =1.64249pt\relax \fontdimen 12\font +(fontspec) =6.56999pt\relax \fontdimen 13\font =0pt\relax }]. +(fontspec) +(fontspec) This font family consists of the following NFSS +(fontspec) series/shapes: +(fontspec) +(fontspec) - 'normal' (m/n) with NFSS spec.: +(fontspec) <9.417->s*[0.9999]"[FiraMath-Regular.otf]:mode=base;scrip +t=math;language=DFLT;"<7.1175-9.417>s*[0.9999]"[FiraMath-Regular.otf]:mode=base; +script=math;language=DFLT;+ssty=0;"<-7.1175>s*[0.9999]"[FiraMath-Regular.otf]:mo +de=base;script=math;language=DFLT;+ssty=1;" +(fontspec) - 'small caps' (m/sc) with NFSS spec.: +(fontspec) and font adjustment code: +(fontspec) \__um_luatex_copy_fontdimens: \fontdimen 8\font +(fontspec) =0.8322pt\relax \fontdimen 9\font =1.64249pt\relax +(fontspec) \fontdimen 10\font =1.64249pt\relax \fontdimen 11\font +(fontspec) =1.64249pt\relax \fontdimen 12\font =6.56999pt\relax +(fontspec) \fontdimen 13\font =0pt\relax + +LaTeX Font Info: Encoding `OMX' has changed to `TU' for symbol font +(Font) `largesymbols' in the math version `normal' on input line 68 +. +LaTeX Font Info: Overwriting symbol font `largesymbols' in version `normal' +(Font) OMX/cmex/m/n --> TU/FiraMath-Regular.otf(3)/m/n on input + line 68. +LaTeX Font Info: Encoding `OMX' has changed to `TU' for symbol font +(Font) `largesymbols' in the math version `bold' on input line 68. +LaTeX Font Info: Overwriting symbol font `largesymbols' in version `bold' +(Font) OMX/cmex/m/n --> TU/FiraMath-Regular.otf(3)/bx/n on inpu +t line 68. +LaTeX Font Info: Font shape `TU/FiraMath-Regular.otf(1)/m/n' will be +(Font) scaled to size 7.884pt on input line 68. +LaTeX Font Info: Font shape `TU/FiraMath-Regular.otf(1)/m/n' will be +(Font) scaled to size 6.351pt on input line 68. +LaTeX Font Info: Font shape `TU/FiraMath-Regular.otf(2)/m/n' will be +(Font) scaled to size 10.95116pt on input line 68. +LaTeX Font Info: Font shape `TU/FiraMath-Regular.otf(2)/m/n' will be +(Font) scaled to size 7.88484pt on input line 68. +LaTeX Font Info: Font shape `TU/FiraMath-Regular.otf(2)/m/n' will be +(Font) scaled to size 6.35167pt on input line 68. +LaTeX Font Info: Font shape `TU/FiraMath-Regular.otf(3)/m/n' will be +(Font) scaled to size 10.94882pt on input line 68. +LaTeX Font Info: Font shape `TU/FiraMath-Regular.otf(3)/m/n' will be +(Font) scaled to size 7.88315pt on input line 68. +LaTeX Font Info: Font shape `TU/FiraMath-Regular.otf(3)/m/n' will be +(Font) scaled to size 6.35031pt on input line 68. +\c@mv@pnum=\count276 + +Package fontspec Info: Font family 'FiraMath-Regular.otf(4)' created for font +(fontspec) 'FiraMath-Regular.otf' with options +(fontspec) [Renderer=Basic,BoldItalicFont={},ItalicFont={},SmallCaps +Font={},Script=Math,FontAdjustment={\__um_luatex_copy_fontdimens: +(fontspec) },Numbers={Proportional},Scale={1}]. +(fontspec) +(fontspec) This font family consists of the following NFSS +(fontspec) series/shapes: +(fontspec) +(fontspec) - 'normal' (m/n) with NFSS spec.: +(fontspec) <->s*[1]"[FiraMath-Regular.otf]:mode=base;script=math;lan +guage=DFLT;+pnum;" +(fontspec) - 'small caps' (m/sc) with NFSS spec.: +(fontspec) and font adjustment code: +(fontspec) \__um_luatex_copy_fontdimens: + +LaTeX Font Info: Font shape `TU/FiraMath-Regular.otf(4)/m/n' will be +(Font) scaled to size 10.95pt on input line 70. + +Package fontspec Info: Font family 'FiraMath-Regular.otf(5)' created for font +(fontspec) 'FiraMath-Regular.otf' with options +(fontspec) [Renderer=Basic,BoldItalicFont={},ItalicFont={},SmallCaps +Font={},Script=Math,SizeFeatures={{Size=9.417-},{Size=7.1175-9.417,Font=FiraMath +-Regular.otf,Style=MathScript},{Size=-7.1175,Font=FiraMath-Regular.otf,Style=Mat +hScriptScript}},FontAdjustment={\__um_luatex_copy_fontdimens: +(fontspec) },Numbers={Proportional},Scale={1}]. +(fontspec) +(fontspec) This font family consists of the following NFSS +(fontspec) series/shapes: +(fontspec) +(fontspec) - 'normal' (m/n) with NFSS spec.: +(fontspec) <9.417->s*[1]"[FiraMath-Regular.otf]:mode=base;script=mat +h;language=DFLT;+pnum;"<7.1175-9.417>s*[1]"[FiraMath-Regular.otf]:mode=base;scri +pt=math;language=DFLT;+pnum;+ssty=0;"<-7.1175>s*[1]"[FiraMath-Regular.otf]:mode= +base;script=math;language=DFLT;+pnum;+ssty=1;" +(fontspec) - 'small caps' (m/sc) with NFSS spec.: +(fontspec) and font adjustment code: +(fontspec) \__um_luatex_copy_fontdimens: + +LaTeX Font Info: Font shape `TU/FiraMath-Regular.otf(5)/m/n' will be +(Font) scaled to size 10.95pt on input line 70. +LaTeX Font Info: Encoding `OT1' has changed to `TU' for symbol font +(Font) `operators' in the math version `pnum' on input line 70. +LaTeX Font Info: Overwriting symbol font `operators' in version `pnum' +(Font) OT1/cmr/m/n --> TU/FiraMath-Regular.otf(5)/m/n on input +line 70. + +Package fontspec Info: FiraMath-Regular scale = 1.0001. + + +Package fontspec Info: FiraMath-Regular scale = 1.0001. + + +Package fontspec Info: FiraMath-Regular scale = 1.0001. + + +Package fontspec Info: FiraMath-Regular scale = 1.0001. + + +Package fontspec Info: Font family 'FiraMath-Regular.otf(6)' created for font +(fontspec) 'FiraMath-Regular.otf' with options +(fontspec) [Renderer=Basic,BoldItalicFont={},ItalicFont={},SmallCaps +Font={},Script=Math,SizeFeatures={{Size=9.417-},{Size=7.1175-9.417,Font=FiraMath 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+In the continuous expansion method, the pressure is reduced by a restriction. The gas flows continuously from a volume at relativ high pressure into the calibration chamber and thereafter to the vacuum pump. + + + \includegraphics[width=0.9\columnwidth]{method-poster-en} + %\caption{Korrekturen der Keithley} + +The pressure in the calibration chamber is given by: + +\begin{equation} +p= \frac{q_{pv}}{C} \qquad + \begin{tabular}{@{}lll@{}} + $q_{pV}$& & Gas flow \\ + $C$ & & Conductance \\ + \end{tabular} +\end{equation} + +\section{The Primary Standard CE-3} + +\includegraphics[width=0.5\columnwidth]{CE_3} + +At the PTB, pressures in the range $10^{-10}$ Pa to $10^{-2}$ Pa are generated by the primary standard CE-3, based on the continuous expansion method. This method was improved to enlarge the calibration range. +For these purposes two calibration chambers (UHV-chamber $V_1$ and XHV-chamber $V_2$ (Figure 3))and two cryo pumps were used. Between these chambers a flow divider channels about 99\% of the gas flow into $V_1$ and 1\% into $V_2$. +Thus the gas flow in $V_2$ will be about a factor 100 lower than in $V_1$. The gas flow $q_{pv}$ is produced and measured by the flowmeter FM-3. + +\begin{center} +\includegraphics[width=0.9\columnwidth]{Skizze-poster-en} +\captionof{figure}{Scheme} +\end{center} + +Cold surfaces at 2.6 K pump the gas molecules exiting from the two calibration chambers through the pump orifices. The high condensation probability of the gas molecules on these surfaces avoids backstreaming for most gas species into the calibration chamber. As a result the orifices act as a “black hole†for the gas molecules. If both cryo pumps operate, the gas flow $q_{pV}$ is subdivided into two gas flows into the respective chambers : +\begin{equation} +q_{pv}= q_{01}+q_{02} \qquad +\end{equation} +If only cryo pump KP1 operates, the calibration pressure in volume V 1 is given by: +\begin{equation} +p_1= \frac{q_{pv}}{\gamma_1 C_1}\cdot \frac{\sqrt{T_{CH_1}T_0}}{T_{FM}} \qquad + \begin{tabular}{@{}lll@{}} + $T_{CH1}$ & Temperatur of $V_1$ & \\ + $T_{FM}$& Temperatur of flowmeter& \\ + $\gamma_1$ & factor accounting back- & \\ + & streaming ($\approx1$) & \\ + $q_{pV}$& Gas flow rate & \\ + $T_{0}$& Reference & \\ + & temperatur 23°C & \\ + $C_1$& Conductance of orifice & \\ + \end{tabular} +\end{equation} + + +\includegraphics[width=0.8\columnwidth]{uns-ce34evc} +\end{multicols} + +\end{document} diff --git a/ptbposter/poster-ce/uns-ce34evc-q.pdf b/ptbposter/poster-ce/uns-ce34evc-q.pdf new file mode 100644 index 0000000000000000000000000000000000000000..e2e666a0cff01c12650552653c1cc465970b5b74 GIT binary 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