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[[File:Pirani sensor.jpg|thumb|120px|Pirani probe with 64 mm vacuum flange]]
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The '''Pirani gauge''' is a robust [[thermal conductivity]] gauge used for the measurement of the [[Pressure measurement|pressures]] in vacuum systems.<ref name="urlPhys. Rev. 37 (1931): A. Ellett and R. M. Zabel - The Pirani Gauge for...">{{cite web |url=http://link.aps.org/doi/10.1103/PhysRev.37.1102 |title=Phys. Rev. 37 (1931): A. Ellett and R. M. Zabel - The Pirani Gauge for the Measurement of Small Changes of Pressure |format= |work= |accessdate=}}</ref> It was invented in 1906 by [[Marcello Pirani]].<ref> {{cite journal |title= |journal=[[Deutsche Physikalische Gesellschaft]], Verh. |year=1906 |first=M |last=von Pirani |coauthors= |volume=8 |issue= |pages=24 |doi= }}</ref>
 
==Structure==
The Pirani gauge consists of a metal filament (usually [[platinum]]) suspended in a tube which is connected to the system whose vacuum is to be measured. Connection is usually made either by a ground glass joint or a [[flange|flanged]] metal connector, sealed with an [[o-ring]]. The filament is connected to an electrical circuit from which, after calibration, a pressure reading may be taken.
 
==Mode of operation==
[[File:Blockbild-Pirani-Vakuumeter.png|thumb|500px|Block diagram of Pirani gauge]]
[[File:Nomogramm pirani-Vakuummeter.jpg|thumb|250px|right|Curves to convert air readings to other gases]]
 
A '''heated metal wire''' (also called a filament) suspended in a gas will lose heat to the gas as its molecules collide with the wire and remove heat. If the gas pressure is reduced the number of molecules present will fall proportionately and the wire will lose low heat more slowly. Measuring the heat loss is an indirect indication of pressure.
 
The electrical resistance of a wire varies with its temperature, so the resistance indicates the temperature of wire. In many systems, the wire is maintained at a constant resistance ''R'' by controlling the current ''I'' through the wire. The resistance can be set using a bridge circuit. The power delivered to the wire is ''I''<sup>2</sup>''R'', and the same power is transferred to the gas.<ref>Ignoring the power lost by the electrical connections and the wire supports.</ref> The current required to achieve this balance is therefore a measure of the vacuum.
 
The gauge may be used for pressures between 0.5 [[Torr]] to 10<sup>&minus;4</sup>&nbsp;Torr. The thermal conductivity and heat capacity of the gas may affect the readout from the meter, and therefore the apparatus may need calibrating before accurate readings are obtainable. For lower pressure measurement other instruments such as a [[Penning gauge]] are used.
 
==Pulsed Pirani gauge==
A special form of the Pirani gauge is the '''pulsed Pirani vacuum gauge''' where the filament is not operated at a constant temperature, but is cyclically heated up to a certain temperature threshold by an increasing voltage ramp. When the threshold is reached, the heating voltage is switched-off and the filament cools down again.
 
For adequately low pressure the following relation for supplied heating power and filament temperature ''T''(''t'') applies:<ref name="H. Plöchinger, Patentschrift DE 10115715 A (30. März 2001)">{{cite patent |inventor-last=Plöchinger |inventor-first=Heinz |country-code=DE |patent-number=10115715 |language=German |title=Sensor and Method for Detecting Measurement Variables and Physical Parameters |publication-date=2001-03-30 |issue-date=2002-10-17 |url= }}, also [http://www.thyracont.com/?option=com_content&view=article&id=158&Itemid=88&lang=de description] </ref>
 
:<math>P_{\text{el}} = C_1 \lambda_{\text{gaz}}(T(t) - T_a) + C_2\lambda_{\text{fil}}(T(t) - T_a) + A_{\text{fil}} \epsilon \sigma(T(t)^4 - T^4_a) + c_{\text{fil}}m_{\text{fil}} \frac{\mathrm{d}T}{\mathrm{d}t} ,</math>
where <math>c_{\text{fil}}</math> is the heating capacity of the filament, <math>m_{\text{fil}}</math> is the mass of the filament and <math>C_1</math> and <math>C_2</math> are constants.
 
===Advantages and disadvantages of the pulsed gauge===
;Advantages
*Significantly better resolution in the range above 100 Torr. <ref>{{cite journal |title=Gepulstes Heißdraht-Vakuummeter mit Pirani-Sensor |journal=Vakuum in Forschung und Praxis |year=2004 |first=W. |last=Jitschin |first2=S. |last2=Ludwig |volume=16 |issue= |pages=23–29 |language=German |doi= }}</ref>
*The power consumption is drastically reduced compared to continuously operated Pirani gauges.
*The gauge's thermal influence on the real measurement is lowered considerably due to the low temperature threshold of 80°C and the ramp heating in pulsed mode.  
*The pulsed mode allows for efficient implementation of modern microprocessor technology.
 
;Disadvantages
*Increased calibration effort
*Longer heat-up phase
 
==References==
{{Reflist|30em}}
 
==External links==
* http://homepages.thm.de/~hg8831/vakuumlabor/litera.htm
* {{Citation |title=100 Jahre Pirani-Vakuummeter |first=W. |last=Jitschin |journal=Vakuum in Forschung und Praxis |volume=18 |issue=6 |pages=22–23 |year=2006 |language=German |doi= }}
* {{Citation |title=Gepulstes Pirani-Vakuummeter: Berechnung von Aufheizung und Abkühlung |first1=W. |last1=Jitschin |first2=S. |last2=Ludwig |journal=Vakuum in Forschung und Praxis |volume=16 |issue= |pages=297–301 |year=2004 |language=German |doi= }}
 
[[Category:Vacuum gauges]]
[[Category:Pressure gauges]]

Latest revision as of 16:32, 8 April 2014

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