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src="//upload.wikimedia.org/wikipedia/commons/thumb/6/6f/Stylised_atom_with_three_Bohr_model_orbits_and_stylised_nucleus.svg/25px-Stylised_atom_with_three_Bohr_model_orbits_and_stylised_nucleus.svg.png" decoding="async" width="25" height="28" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/6f/Stylised_atom_with_three_Bohr_model_orbits_and_stylised_nucleus.svg/37px-Stylised_atom_with_three_Bohr_model_orbits_and_stylised_nucleus.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/6f/Stylised_atom_with_three_Bohr_model_orbits_and_stylised_nucleus.svg/49px-Stylised_atom_with_three_Bohr_model_orbits_and_stylised_nucleus.svg.png 2x" data-file-width="530" data-file-height="600"/></a></span></span><span class="portalbox-link"><a href="/wiki/Portal:Physics" title="Portal:Physics">Physics portal</a></span></li></ul>This article is within the scope of <b><a href="/wiki/Wikipedia:WikiProject_Physics" title="Wikipedia:WikiProject Physics">WikiProject 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If you would like to participate, please visit the project page, where you can join <a href="/wiki/Wikipedia_talk:WikiProject_Physics" title="Wikipedia talk:WikiProject Physics">the discussion</a> and see a list of open tasks.<span class="metadata wpb-metadata"><span class="wpb-project">Physics</span><span class="wpb-project_link">Wikipedia:WikiProject Physics</span><span class="wpb-banner_name">Template:WikiProject Physics</span><span class="wpb-assessment_cat">physics articles</span></span></td><td class="mbox-empty-cell"></td></tr><tr><td class="assess import-mid"><a href="/wiki/Category:Mid-importance_physics_articles" title="Category:Mid-importance physics articles">Mid</a></td><td class="mbox-text" colspan="2">This article has been rated as <b>Mid-importance</b> on the <a href="/wiki/Wikipedia:WikiProject_Physics/Quality_Control#Importance_scale" title="Wikipedia:WikiProject Physics/Quality Control">project's importance scale</a>.</td></tr></tbody></table></td></tr></tbody></table></td></tr></tbody></table> <pre><a href="/w/index.php?title=User:Trojancowboy&action=edit&redlink=1" class="new" title="User:Trojancowboy (page does not exist)">Trojancowboy</a> (<a href="/wiki/User_talk:Trojancowboy" title="User talk:Trojancowboy">talk</a>) <a href="https://en.wikipedia.org/wiki/Talk:Paschen%27s_law#c-Trojancowboy-2010-12-23T03:05:00.000Z" class="ext-discussiontools-init-timestamplink">03:05, 23 December 2010 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Trojancowboy-2010-12-23T03:05:00.000Z"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Trojancowboy-2010-12-23T03:05:00.000Z"></span> </pre> <p><span data-mw-comment-start="" id="c-Trojancowboy-2008-03-25T02:32:00.000Z"></span>This article needs a graph of the equation and I don't know how to do it.<a href="/w/index.php?title=User:Trojancowboy&action=edit&redlink=1" class="new" title="User:Trojancowboy (page does not exist)">Trojancowboy</a> (<a href="/wiki/User_talk:Trojancowboy" title="User talk:Trojancowboy">talk</a>) <a href="https://en.wikipedia.org/wiki/Talk:Paschen%27s_law#c-Trojancowboy-2008-03-25T02:32:00.000Z" class="ext-discussiontools-init-timestamplink">02:32, 25 March 2008 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Trojancowboy-2008-03-25T02:32:00.000Z"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Trojancowboy-2008-03-25T02:32:00.000Z"></span> </p><p><span data-mw-comment-start="" id="c-24.62.110.98-2009-03-17T10:07:00.000Z"></span>The equation for air seems to be almost a factor of two different from the first reference (High Voltage Experimenters Handbook). Also there is no provision for temperature effects. Can anyone confirm whether reference is correct or this article is correct? <span style="font-size: smaller;" class="autosigned">—Preceding <a href="/wiki/Wikipedia:Signatures" title="Wikipedia:Signatures">unsigned</a> comment added by <a href="/wiki/Special:Contributions/24.62.110.98" title="Special:Contributions/24.62.110.98">24.62.110.98</a> (<a href="/w/index.php?title=User_talk:24.62.110.98&action=edit&redlink=1" class="new" title="User talk:24.62.110.98 (page does not exist)">talk</a>) <a href="https://en.wikipedia.org/wiki/Talk:Paschen%27s_law#c-24.62.110.98-2009-03-17T10:07:00.000Z" class="ext-discussiontools-init-timestamplink">10:07, 17 March 2009 (UTC)</a></span><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-24.62.110.98-2009-03-17T10:07:00.000Z"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-24.62.110.98-2009-03-17T10:07:00.000Z"></span> </p><p><span data-mw-comment-start="" id="c-66.112.231.201-2009-04-30T04:10:00.000Z"></span>I think that it should say (for air) a = 43.6E6 V/(atm-m) and b = 12.8. This will get the correct 327 V voltage breakdown at 7.5E-6 atm-um. I was unable to find an accurate source that lists the full equation with the values. <a href="/wiki/Special:Contributions/66.112.231.201" title="Special:Contributions/66.112.231.201">66.112.231.201</a> (<a href="/w/index.php?title=User_talk:66.112.231.201&action=edit&redlink=1" class="new" title="User talk:66.112.231.201 (page does not exist)">talk</a>) <a href="https://en.wikipedia.org/wiki/Talk:Paschen%27s_law#c-66.112.231.201-2009-04-30T04:10:00.000Z" class="ext-discussiontools-init-timestamplink">04:10, 30 April 2009 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-66.112.231.201-2009-04-30T04:10:00.000Z"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-66.112.231.201-2009-04-30T04:10:00.000Z"></span> </p><p><span data-mw-comment-start="" id="c-24.227.215.162-2012-06-04T19:21:00.000Z"></span>The article states that "For air at STP, the voltage needed to arc a 1 meter gap is about 3.4 MV" but if you plug in 1 meter into the equation: </p> <pre> ( 43600000 * 101300 *1) / ( ln(101300 * 1 ) + 12.8 ) </pre> <p>you get 1.81583*10^11 volts, which is crazy. 101300 is in Pa, d is in meters. ??? <span style="font-size: smaller;" class="autosigned">— Preceding <a href="/wiki/Wikipedia:Signatures" title="Wikipedia:Signatures">unsigned</a> comment added by <a href="/wiki/Special:Contributions/24.227.215.162" title="Special:Contributions/24.227.215.162">24.227.215.162</a> (<a href="/w/index.php?title=User_talk:24.227.215.162&action=edit&redlink=1" class="new" title="User talk:24.227.215.162 (page does not exist)">talk</a>) <a href="https://en.wikipedia.org/wiki/Talk:Paschen%27s_law#c-24.227.215.162-2012-06-04T19:21:00.000Z" class="ext-discussiontools-init-timestamplink">19:21, 4 June 2012 (UTC)</a></span><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-24.227.215.162-2012-06-04T19:21:00.000Z"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-24.227.215.162-2012-06-04T19:21:00.000Z"></span> </p><p><span data-mw-comment-start="" id="c-66.112.231.201-2009-04-30T03:33:00.000Z"></span>Pressure is a function of temperature, from the ideal gas law. <a href="/wiki/Special:Contributions/66.112.231.201" title="Special:Contributions/66.112.231.201">66.112.231.201</a> (<a href="/w/index.php?title=User_talk:66.112.231.201&action=edit&redlink=1" class="new" title="User talk:66.112.231.201 (page does not exist)">talk</a>) <a href="https://en.wikipedia.org/wiki/Talk:Paschen%27s_law#c-66.112.231.201-2009-04-30T03:33:00.000Z" class="ext-discussiontools-init-timestamplink">03:33, 30 April 2009 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-66.112.231.201-2009-04-30T03:33:00.000Z"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-66.112.231.201-2009-04-30T03:33:00.000Z"></span> </p><p><span data-mw-comment-start="" id="c-85.81.102.102-2011-07-11T21:02:00.000Z"></span>Maybe the first formula would be more readable as: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle V={\frac {apd}{\ln(bpd)}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>V</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>a</mi> <mi>p</mi> <mi>d</mi> </mrow> <mrow> <mi>ln</mi> <mo>⁡</mo> <mo stretchy="false">(</mo> <mi>b</mi> <mi>p</mi> <mi>d</mi> <mo stretchy="false">)</mo> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle V={\frac {apd}{\ln(bpd)}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/27841d37bd7ee7b8bb97031c415e1d64c9f9d692" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:12.853ex; height:6.176ex;" alt="{\displaystyle V={\frac {apd}{\ln(bpd)}}}"/></span>.</dd></dl> <p>Where <i>V</i> is the breakdown voltage, <i>p</i> is the pressure, <i>d</i> is the gap distance. The <a href="/wiki/Coefficient" title="Coefficient">constants</a> <i>a</i> and <i>b</i> depend upon the composition of the gas. For air at standard <a href="/wiki/Atmospheric_pressure" title="Atmospheric pressure">atmospheric pressure</a> of 101 kPa, <i>a</i> = 43.6×10<sup>6</sup> V/(atm·m) and <i>b</i> = 3.62x10<sup>5</sup>/(atm·m). <span style="font-size: smaller;" class="autosigned">— Preceding <a href="/wiki/Wikipedia:Signatures" title="Wikipedia:Signatures">unsigned</a> comment added by <a href="/wiki/Special:Contributions/85.81.102.102" title="Special:Contributions/85.81.102.102">85.81.102.102</a> (<a href="/wiki/User_talk:85.81.102.102" title="User talk:85.81.102.102">talk</a>) <a href="https://en.wikipedia.org/wiki/Talk:Paschen%27s_law#c-85.81.102.102-2011-07-11T21:02:00.000Z" class="ext-discussiontools-init-timestamplink">21:02, 11 July 2011 (UTC)</a></span><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-85.81.102.102-2011-07-11T21:02:00.000Z"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-85.81.102.102-2011-07-11T21:02:00.000Z"></span> </p><p><span data-mw-comment-start="" id="c-Fruehling42-2012-03-06T19:54:00.000Z"></span>The formula would not only be more readable, it would actually be correct. In the current form, it does not make sense, since 'pd' has a unit, so one cannot take the logarithm from this value. <a href="/w/index.php?title=User:Fruehling42&action=edit&redlink=1" class="new" title="User:Fruehling42 (page does not exist)">Fruehling42</a> (<a href="/w/index.php?title=User_talk:Fruehling42&action=edit&redlink=1" class="new" title="User talk:Fruehling42 (page does not exist)">talk</a>) <a href="https://en.wikipedia.org/wiki/Talk:Paschen%27s_law#c-Fruehling42-2012-03-06T19:54:00.000Z" class="ext-discussiontools-init-timestamplink">19:54, 6 March 2012 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Fruehling42-2012-03-06T19:54:00.000Z"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Fruehling42-2012-03-06T19:54:00.000Z"></span> </p> <meta property="mw:PageProp/toc"/> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="Consistency" data-mw-thread-id="h-Consistency-2011-08-03T08:13:00.000Z"><span data-mw-comment-start="" id="h-Consistency-2011-08-03T08:13:00.000Z"></span>Consistency<span data-mw-comment-end="h-Consistency-2011-08-03T08:13:00.000Z"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Talk:Paschen%27s_law&action=edit&section=1" title="Edit section: Consistency"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span><div class="ext-discussiontools-init-section-bar"><div class="ext-discussiontools-init-section-metadata"></div><div class="ext-discussiontools-init-section-actions"></div></div></div> <p><span data-mw-comment-start="" id="c-83.65.160.242-2011-08-03T08:13:00.000Z-Consistency"></span>In the section "Paschen curve", the description repeatedly states 7.5 mm, whilst in the explanation (2 paragraphs below), 7.5 um is mentioned. I don't have the time to check which one is correct, but this inconsistency should be weeded out! --<a href="/wiki/Special:Contributions/83.65.160.242" title="Special:Contributions/83.65.160.242">83.65.160.242</a> (<a href="/w/index.php?title=User_talk:83.65.160.242&action=edit&redlink=1" class="new" title="User talk:83.65.160.242 (page does not exist)">talk</a>) <a href="https://en.wikipedia.org/wiki/Talk:Paschen%27s_law#c-83.65.160.242-2011-08-03T08:13:00.000Z-Consistency" class="ext-discussiontools-init-timestamplink">08:13, 3 August 2011 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-83.65.160.242-2011-08-03T08:13:00.000Z-Consistency"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-83.65.160.242-2011-08-03T08:13:00.000Z-Consistency"></span> </p> <dl><dd><span data-mw-comment-start="" id="c-Wtshymanski-2011-08-03T13:44:00.000Z-83.65.160.242-2011-08-03T08:13:00.000Z"></span>Not inconsistent - one is at 0.001 atmospheres, the other at 1 atmosphere. --<a href="/wiki/User:Wtshymanski" title="User:Wtshymanski">Wtshymanski</a> (<a href="/wiki/User_talk:Wtshymanski" title="User talk:Wtshymanski">talk</a>) <a href="https://en.wikipedia.org/wiki/Talk:Paschen%27s_law#c-Wtshymanski-2011-08-03T13:44:00.000Z-83.65.160.242-2011-08-03T08:13:00.000Z" class="ext-discussiontools-init-timestamplink">13:44, 3 August 2011 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Wtshymanski-2011-08-03T13:44:00.000Z-83.65.160.242-2011-08-03T08:13:00.000Z"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Wtshymanski-2011-08-03T13:44:00.000Z-83.65.160.242-2011-08-03T08:13:00.000Z"></span> <dl><dd><span data-mw-comment-start="" id="c-18.38.2.39-2011-10-28T17:53:00.000Z-Wtshymanski-2011-08-03T13:44:00.000Z"></span>This should be made clear. Currently it is not - I had the exact same confusion.<a href="/wiki/Special:Contributions/18.38.2.39" title="Special:Contributions/18.38.2.39">18.38.2.39</a> (<a href="/w/index.php?title=User_talk:18.38.2.39&action=edit&redlink=1" class="new" title="User talk:18.38.2.39 (page does not exist)">talk</a>) <a href="https://en.wikipedia.org/wiki/Talk:Paschen%27s_law#c-18.38.2.39-2011-10-28T17:53:00.000Z-Wtshymanski-2011-08-03T13:44:00.000Z" class="ext-discussiontools-init-timestamplink">17:53, 28 October 2011 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-18.38.2.39-2011-10-28T17:53:00.000Z-Wtshymanski-2011-08-03T13:44:00.000Z"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-18.38.2.39-2011-10-28T17:53:00.000Z-Wtshymanski-2011-08-03T13:44:00.000Z"></span> <dl><dd><i><span data-mw-comment-start="" id="c-Wtshymanski-2011-10-28T17:58:00.000Z-18.38.2.39-2011-10-28T17:53:00.000Z"></span>...For example, at a pressure of 10-3 atmospheres, the distance for minimum breakdown voltage is about 7.5 mm. ...</i>, and <i>This is 327 V in air at standard atmospheric pressure at a distance of 7.5 µm</i>. How would you suggest clarifying this? The whole article is talking about the effect of pressure on minimum breakdwon voltage and gaps, I don't see how to change this. --<a href="/wiki/User:Wtshymanski" title="User:Wtshymanski">Wtshymanski</a> (<a href="/wiki/User_talk:Wtshymanski" title="User talk:Wtshymanski">talk</a>) <a href="https://en.wikipedia.org/wiki/Talk:Paschen%27s_law#c-Wtshymanski-2011-10-28T17:58:00.000Z-18.38.2.39-2011-10-28T17:53:00.000Z" class="ext-discussiontools-init-timestamplink">17:58, 28 October 2011 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Wtshymanski-2011-10-28T17:58:00.000Z-18.38.2.39-2011-10-28T17:53:00.000Z"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Wtshymanski-2011-10-28T17:58:00.000Z-18.38.2.39-2011-10-28T17:53:00.000Z"></span></dd></dl></dd></dl></dd></dl> <p><span data-mw-comment-start="" id="c-129.123.197.35-2012-08-15T23:38:00.000Z-Consistency"></span>Units are inconsistent on at least equations 14 and 15. The units in the exponent of eq. 14 do not all cancel. Also, a dimensional analysis of eq. 15 does not yield volts. Woops! <span style="font-size: smaller;" class="autosigned">— Preceding <a href="/wiki/Wikipedia:Signatures" title="Wikipedia:Signatures">unsigned</a> comment added by <a href="/wiki/Special:Contributions/129.123.197.35" title="Special:Contributions/129.123.197.35">129.123.197.35</a> (<a href="/wiki/User_talk:129.123.197.35" title="User talk:129.123.197.35">talk</a>) <a href="https://en.wikipedia.org/wiki/Talk:Paschen%27s_law#c-129.123.197.35-2012-08-15T23:38:00.000Z-Consistency" class="ext-discussiontools-init-timestamplink">23:38, 15 August 2012 (UTC)</a></span><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-129.123.197.35-2012-08-15T23:38:00.000Z-Consistency"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-129.123.197.35-2012-08-15T23:38:00.000Z-Consistency"></span> </p><p><span data-mw-comment-start="" id="c-Cfn137-2012-10-15T17:12:00.000Z-Consistency"></span>The problem is actually Eq. 8, which defines <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle L}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>L</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle L}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/103168b86f781fe6e9a4a87b8ea1cebe0ad4ede8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.583ex; height:2.176ex;" alt="{\displaystyle L}"/></span>. The product <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle Lpd}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>L</mi> <mi>p</mi> <mi>d</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Lpd}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/86370127e6b7cbc6429adb028f46c356c2240902" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.968ex; height:2.509ex;" alt="{\displaystyle Lpd}"/></span> is unitless, which should make the units for Eq. 14 & 15 work. I will fix Eq. 8.<a href="/w/index.php?title=User:Cfn137&action=edit&redlink=1" class="new" title="User:Cfn137 (page does not exist)">Cfn137</a> (<a href="/w/index.php?title=User_talk:Cfn137&action=edit&redlink=1" class="new" title="User talk:Cfn137 (page does not exist)">talk</a>) <a href="https://en.wikipedia.org/wiki/Talk:Paschen%27s_law#c-Cfn137-2012-10-15T17:12:00.000Z-Consistency" class="ext-discussiontools-init-timestamplink">17:12, 15 October 2012 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Cfn137-2012-10-15T17:12:00.000Z-Consistency"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Cfn137-2012-10-15T17:12:00.000Z-Consistency"></span> </p> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="better_equation_and_easier_explanation" data-mw-thread-id="h-better_equation_and_easier_explanation-2013-09-04T10:51:00.000Z"><span data-mw-comment-start="" id="h-better_equation_and_easier_explanation-2013-09-04T10:51:00.000Z"></span>better equation and easier explanation<span data-mw-comment-end="h-better_equation_and_easier_explanation-2013-09-04T10:51:00.000Z"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Talk:Paschen%27s_law&action=edit&section=2" title="Edit section: better equation and easier explanation"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span><div class="ext-discussiontools-init-section-bar"><div class="ext-discussiontools-init-section-metadata"></div><div class="ext-discussiontools-init-section-actions"></div></div></div> <p><span data-mw-comment-start="" id="c-Nanite-2013-09-04T10:51:00.000Z-better_equation_and_easier_explanation"></span>The page could do with a better writeup. It took me several minutes of thinking to realize from the equation that, regardless of the pressure and distance, there is a certain absolute minimum voltage required to cause a spark that is a constant. What I mean is, if I have two objects with a variety of distances to one another, at a given pressure, then the formation of a spark from any point to any other point (considering all possible distances) requires that minimum voltage. As noted by other comments above, there is also a units inconsistency. </p><p>I think the equation would be much better written out as: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle V={\frac {V_{\rm {min}}pd/c}{1+\ln(pd/c)}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>V</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <msub> <mi>V</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">i</mi> <mi mathvariant="normal">n</mi> </mrow> </mrow> </msub> <mi>p</mi> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mi>c</mi> </mrow> <mrow> <mn>1</mn> <mo>+</mo> <mi>ln</mi> <mo>⁡</mo> <mo stretchy="false">(</mo> <mi>p</mi> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mi>c</mi> <mo stretchy="false">)</mo> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle V={\frac {V_{\rm {min}}pd/c}{1+\ln(pd/c)}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bf81a8d6a1167289bcbf0ecbb4f870c4e9e0478d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:18.028ex; height:6.509ex;" alt="{\displaystyle V={\frac {V_{\rm {min}}pd/c}{1+\ln(pd/c)}}}"/></span></dd></dl> <p>Advantages: </p> <ul><li>It is no longer necessary to demand certain units for <i>pd</i>, since we will naturally compensate them when dividing by <i>c</i>.</li> <li>The value <i>V</i><sub>min</sub> is the minimum voltage required to cause a spark under <i>any</i> possible conditions (at any pressure, at any distance), whereas <i>V</i> is the minimum voltage required to cause a spark under <i>specific</i> conditions (at a certain pressure and distance).</li> <li>The value of <i>c</i> is the critical value of <i>pd</i> where <i>V</i> is lowest, i.e., where <i>V</i> falls to <i>V</i><sub>min</sub>.</li></ul> <p>The relationships between the different constants are of course: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle c=e^{1-b}\times (1\,\mathrm {atm\,m} ),\quad V_{\rm {min}}=ac}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>c</mi> <mo>=</mo> <msup> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> <mo>−</mo> <mi>b</mi> </mrow> </msup> <mo>×</mo> <mo stretchy="false">(</mo> <mn>1</mn> <mspace width="thinmathspace"></mspace> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">t</mi> <mi mathvariant="normal">m</mi> <mspace width="thinmathspace"></mspace> <mi mathvariant="normal">m</mi> </mrow> <mo stretchy="false">)</mo> <mo>,</mo> <mspace width="1em"></mspace> <msub> <mi>V</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">i</mi> <mi mathvariant="normal">n</mi> </mrow> </mrow> </msub> <mo>=</mo> <mi>a</mi> <mi>c</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c=e^{1-b}\times (1\,\mathrm {atm\,m} ),\quad V_{\rm {min}}=ac}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b8ce5d7f8d54d4b4b609292cf7d880dea6e651f8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:33.772ex; height:3.176ex;" alt="{\displaystyle c=e^{1-b}\times (1\,\mathrm {atm\,m} ),\quad V_{\rm {min}}=ac}"/></span></dd></dl> <p>--<a href="/wiki/User:Nanite" title="User:Nanite">Nanite</a> (<a href="/wiki/User_talk:Nanite" title="User talk:Nanite">talk</a>) <a href="https://en.wikipedia.org/wiki/Talk:Paschen%27s_law#c-Nanite-2013-09-04T10:51:00.000Z-better_equation_and_easier_explanation" class="ext-discussiontools-init-timestamplink">10:51, 4 September 2013 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Nanite-2013-09-04T10:51:00.000Z-better_equation_and_easier_explanation"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Nanite-2013-09-04T10:51:00.000Z-better_equation_and_easier_explanation"></span> </p><p><span data-mw-comment-start="" id="c-Fincle-2014-04-07T23:38:00.000Z-better_equation_and_easier_explanation"></span>It isn't really a unit inconsistency given that it is equivalent through log identities. Maybe just not immediately obvious to the casual reader. But this form of the equation is much more elegant as it is written in a way the emphasises the key physical parameters in the relationship. This would help clarify for the reader that there is a V<sub>min</sub> located at some pd value related to the value of c. It avoids the extra leap of understanding taken in the article involving taking a derivative w.r.t. pd. Updating the wiki entry to the your above equation would be very beneficial to the reader. The only sticking point is whether or not you can reference this back to textbooks or academic papers that use this as a standard form. We're not supposed to invent conventions on wikipedia, just faithfully bring together the sum of all knowledge as it stands. <a href="/wiki/User:Fincle" title="User:Fincle">Fincle</a> (<a href="/wiki/User_talk:Fincle" title="User talk:Fincle">talk</a>) <a href="https://en.wikipedia.org/wiki/Talk:Paschen%27s_law#c-Fincle-2014-04-07T23:38:00.000Z-better_equation_and_easier_explanation" class="ext-discussiontools-init-timestamplink">23:38, 7 April 2014 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Fincle-2014-04-07T23:38:00.000Z-better_equation_and_easier_explanation"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Fincle-2014-04-07T23:38:00.000Z-better_equation_and_easier_explanation"></span> </p><p><br/> </p> <div class="mw-heading mw-heading4"><h4 id="Fincle_is_wrong_and_Nanite_is_right" data-mw-thread-id="h-Fincle_is_wrong_and_Nanite_is_right-better_equation_and_easier_explanation"><span data-mw-comment-start="" id="h-Fincle_is_wrong_and_Nanite_is_right-better_equation_and_easier_explanation"></span>Fincle is wrong and Nanite is right<span data-mw-comment-end="h-Fincle_is_wrong_and_Nanite_is_right-better_equation_and_easier_explanation"></span></h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Talk:Paschen%27s_law&action=edit&section=3" title="Edit section: Fincle is wrong and Nanite is right"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The edit should be made in a way that clarifies and explicates in text following the historical explanation. That would mollify Fincle's concern about 'invention'. </p><p>I don't come to an encyclopedia looking for a thoughtless clerical compendium of human knowledge devoid of any real understanding by the author(s). I come looking to learn what is unambiguously known, and as such, I seek clarity of exposition that is faithful to truth. </p><p>Arguably, all expressions in an encylopedia are original authorship. The criterion for acceptability is that the abstract content be a re-expression of the consensus others have arrived at elsewhere in original and secondary sources. This does not preclude clarity. </p><p>To put a point on it, I challenge Fincle to understand the content of early mathematical papers using only the notation of those papers. Doing so requires special expertise and experience. </p><p>As for 'log identities' I will say this. The argument of a logarithm should <b>always</b> be expressed as a unitless quantity. The presence of a logarithmic relation in a physical system implies a dimensionless invariant that characterizes the system. This should <b>always</b> be highlighted for the sake of clarity. That some practitioners failed to do this is no excuse for not correcting their oversight. Such a correction is in no way original; neither is it an 'invention' of a new convention. It is a courtesy to the reader, and lets the reader know you do not wish to waste his or her time with academic pomposity. </p><p>I would make the edits myself, but really, I have grown so weary of fighting intransigently stubborn and bureaucratic wikipedians. Do you really want to make wikipedia better? Then serve your audience: people who desire to learn and understand. In order to do that, you have to be infected with that desire yourself. Otherwise you are just a stuffy clerk. </p> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="Wrong_curve" data-mw-thread-id="h-Wrong_curve-2014-04-03T19:08:00.000Z"><span data-mw-comment-start="" id="h-Wrong_curve-2014-04-03T19:08:00.000Z"></span>Wrong curve<span data-mw-comment-end="h-Wrong_curve-2014-04-03T19:08:00.000Z"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Talk:Paschen%27s_law&action=edit&section=4" title="Edit section: Wrong curve"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span><div class="ext-discussiontools-init-section-bar"><div class="ext-discussiontools-init-section-metadata"></div><div class="ext-discussiontools-init-section-actions"></div></div></div> <p><span data-mw-comment-start="" id="c-Hhhippo-2014-04-03T19:08:00.000Z-Wrong_curve"></span>I moved the following comment by <span class="plainlinks userlinks"><span class="userlinks-username"><a href="/w/index.php?title=User:81.109.104.62&action=edit&redlink=1" class="new" title="User:81.109.104.62 (page does not exist)">81.109.104.62</a> </span><span class="plainlinks">(<a href="/w/index.php?title=User_talk:81.109.104.62&action=edit&redlink=1" class="new" title="User talk:81.109.104.62 (page does not exist)">talk</a> <b>·</b> <a href="/wiki/Special:Contributions/81.109.104.62" title="Special:Contributions/81.109.104.62">contribs</a> <b>·</b> <a class="external text" href="https://tools.wmflabs.org/whois/gateway.py?lookup=true&ip=81.109.104.62">WHOIS</a>)</span></span> from the article here: <style data-mw-deduplicate="TemplateStyles:r1248585704">@media screen{html.skin-theme-clientpref-night .mw-parser-output .inline-quote-talk{color:#00B785}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .inline-quote-talk{color:#00B785}}.mw-parser-output .inline-quote-talk{font-family:Georgia,"DejaVu Serif",serif;color:#008560;quotes:none}.mw-parser-output .inline-quote-talk-italic{font-family:inherit;font-style:italic}.mw-parser-output .inline-quote-talk-marks{quotes:"\"""\""}</style><q class="inline-quote-talk">Curve for Nitrogen is wrong <a rel="nofollow" class="external free" href="http://neon.dpp.fmph.uniba.sk/workgroup/media/documents/microdischarge_1.pdf">http://neon.dpp.fmph.uniba.sk/workgroup/media/documents/microdischarge_1.pdf</a></q> — <a href="/wiki/User:Hhhippo" title="User:Hhhippo"><span style="color:darkblue; font-family:times;"><b>H<small>HHIPPO</small></b></span></a> <a href="https://en.wikipedia.org/wiki/Talk:Paschen%27s_law#c-Hhhippo-2014-04-03T19:08:00.000Z-Wrong_curve" class="ext-discussiontools-init-timestamplink">19:08, 3 April 2014 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Hhhippo-2014-04-03T19:08:00.000Z-Wrong_curve"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Hhhippo-2014-04-03T19:08:00.000Z-Wrong_curve"></span> </p><p><span data-mw-comment-start="" id="c-Fincle-2014-04-04T00:40:00.000Z-Wrong_curve"></span>This isn't actually a peer reviewed paper. It claims its from the an institution in the Solvak Republic. You simply can't alter content of a wiki page on the basis of a self published paper. It could have come from anyone claiming to be from this institution. We don't even know of the credentials of the institution. This paper is probably best disregarded until it finds its way into an international journal. <a href="/wiki/User:Fincle" title="User:Fincle">Fincle</a> (<a href="/wiki/User_talk:Fincle" title="User talk:Fincle">talk</a>) <a href="https://en.wikipedia.org/wiki/Talk:Paschen%27s_law#c-Fincle-2014-04-04T00:40:00.000Z-Wrong_curve" class="ext-discussiontools-init-timestamplink">00:40, 4 April 2014 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Fincle-2014-04-04T00:40:00.000Z-Wrong_curve"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Fincle-2014-04-04T00:40:00.000Z-Wrong_curve"></span> </p> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="Typo_in_defining_first_Townshend_coefficient?" data-mw-thread-id="h-Typo_in_defining_first_Townshend_coefficient?-2015-08-02T06:01:00.000Z"><span id="Typo_in_defining_first_Townshend_coefficient.3F"></span><span data-mw-comment-start="" id="h-Typo_in_defining_first_Townshend_coefficient?-2015-08-02T06:01:00.000Z"></span>Typo in defining first Townshend coefficient?<span data-mw-comment-end="h-Typo_in_defining_first_Townshend_coefficient?-2015-08-02T06:01:00.000Z"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Talk:Paschen%27s_law&action=edit&section=5" title="Edit section: Typo in defining first Townshend coefficient?"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span><div class="ext-discussiontools-init-section-bar"><div class="ext-discussiontools-init-section-metadata"></div><div class="ext-discussiontools-init-section-actions"></div></div></div> <p><span data-mw-comment-start="" id="c-LokiClock-2015-08-02T06:01:00.000Z-Typo_in_defining_first_Townshend_coefficient?"></span>The article states, "Per length of path <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/87f9e315fd7e2ba406057a97300593c4802b53e4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.33ex; height:1.676ex;" alt="{\displaystyle x}"/></span> a number of <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \alpha }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>α</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \alpha }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b79333175c8b3f0840bfb4ec41b8072c83ea88d3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.488ex; height:1.676ex;" alt="{\displaystyle \alpha }"/></span> ionizations will occur." Shouldn't this read "a number <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \alpha }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>α</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \alpha }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b79333175c8b3f0840bfb4ec41b8072c83ea88d3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.488ex; height:1.676ex;" alt="{\displaystyle \alpha }"/></span> of ionizations will occur"? ᛭ <a href="/wiki/User:LokiClock" title="User:LokiClock">LokiClock</a> (<a href="/wiki/User_talk:LokiClock" title="User talk:LokiClock">talk</a>) <a href="https://en.wikipedia.org/wiki/Talk:Paschen%27s_law#c-LokiClock-2015-08-02T06:01:00.000Z-Typo_in_defining_first_Townshend_coefficient?" class="ext-discussiontools-init-timestamplink">06:01, 2 August 2015 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-LokiClock-2015-08-02T06:01:00.000Z-Typo_in_defining_first_Townshend_coefficient?"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-LokiClock-2015-08-02T06:01:00.000Z-Typo_in_defining_first_Townshend_coefficient?"></span> </p> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="External_links_modified" data-mw-thread-id="h-External_links_modified-2016-11-10T14:28:00.000Z"><span data-mw-comment-start="" id="h-External_links_modified-2016-11-10T14:28:00.000Z"></span>External links modified<span data-mw-comment-end="h-External_links_modified-2016-11-10T14:28:00.000Z"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Talk:Paschen%27s_law&action=edit&section=6" title="Edit section: External links modified"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span><div class="ext-discussiontools-init-section-bar"><div class="ext-discussiontools-init-section-metadata"></div><div class="ext-discussiontools-init-section-actions"></div></div></div> <p><span data-mw-comment-start="" id="c-InternetArchiveBot-2016-11-10T14:28:00.000Z-External_links_modified"></span>Hello fellow Wikipedians, </p><p>I have just modified one external link on <a href="/wiki/Paschen%27s_law" title="Paschen's law">Paschen's law</a>. 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From the Talk page, it seems they might be the same thing. In the article it is a mystery. Also, that section needs citations. <small class="autosigned">— Preceding <a href="/wiki/Wikipedia:Signatures" title="Wikipedia:Signatures">unsigned</a> comment added by <a href="/wiki/User:DrKN1" title="User:DrKN1">DrKN1</a> (<a href="/wiki/User_talk:DrKN1#top" title="User talk:DrKN1">talk</a> • <a href="/wiki/Special:Contributions/DrKN1" title="Special:Contributions/DrKN1">contribs</a>) <a href="https://en.wikipedia.org/wiki/Talk:Paschen%27s_law#c-DrKN1-2017-03-28T22:10:00.000Z-Unclear" class="ext-discussiontools-init-timestamplink">22:10, 28 March 2017 (UTC)</a></small><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-DrKN1-2017-03-28T22:10:00.000Z-Unclear"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-DrKN1-2017-03-28T22:10:00.000Z-Unclear"></span> </p> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="Equations_do_not_match_cited_source_material" data-mw-thread-id="h-Equations_do_not_match_cited_source_material-20221202202200"><span data-mw-comment-start="" id="h-Equations_do_not_match_cited_source_material-20221202202200"></span>Equations do not match cited source material<span data-mw-comment-end="h-Equations_do_not_match_cited_source_material-20221202202200"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Talk:Paschen%27s_law&action=edit&section=8" title="Edit section: Equations do not match cited source material"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span><div class="ext-discussiontools-init-section-bar"><div class="ext-discussiontools-init-section-metadata"></div><div class="ext-discussiontools-init-section-actions"></div></div></div> <p><span data-mw-comment-start="" id="c-Mr._HelloBye-20221202202200-Equations_do_not_match_cited_source_material"></span>The Townsend equations do not include beta, which is present throughout both of Townsend's books, and does include gamma, which is not visible so far as I have looked in that material either. Also I can't find any equation matching the final results given here in the books, it must need to be derived. This derivation should be made explicit as it is not included in the source material. <a href="/w/index.php?title=User:Mr._HelloBye&action=edit&redlink=1" class="new" title="User:Mr. HelloBye (page does not exist)">Mr. HelloBye</a> (<a href="/wiki/User_talk:Mr._HelloBye" title="User talk:Mr. HelloBye">talk</a>) <a href="https://en.wikipedia.org/wiki/Talk:Paschen%27s_law#c-Mr._HelloBye-20221202202200-Equations_do_not_match_cited_source_material" class="ext-discussiontools-init-timestamplink">20:22, 2 December 2022 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Mr._HelloBye-20221202202200-Equations_do_not_match_cited_source_material"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Mr._HelloBye-20221202202200-Equations_do_not_match_cited_source_material"></span> </p>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1&useformat=desktop" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Retrieved from "<a dir="ltr" href="https://en.wikipedia.org/w/index.php?title=Talk:Paschen%27s_law&oldid=1199444799">https://en.wikipedia.org/w/index.php?title=Talk:Paschen%27s_law&oldid=1199444799</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Help:Category" title="Help:Category">Categories</a>: <ul><li><a href="/wiki/Category:B-Class_physics_articles" title="Category:B-Class physics articles">B-Class physics articles</a></li><li><a href="/wiki/Category:Mid-importance_physics_articles" title="Category:Mid-importance physics articles">Mid-importance physics articles</a></li><li><a href="/wiki/Category:B-Class_physics_articles_of_Mid-importance" title="Category:B-Class physics articles of Mid-importance">B-Class physics articles of Mid-importance</a></li></ul></div><div id="mw-hidden-catlinks" class="mw-hidden-catlinks mw-hidden-cats-hidden">Hidden category: <ul><li><a href="/wiki/Category:Talk_pages_with_comments_before_the_first_section" title="Category:Talk pages with comments before the first section">Talk pages with comments before the first section</a></li></ul></div></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> This page was last edited on 27 January 2024, at 02:36<span class="anonymous-show"> (UTC)</span>.</li> <li id="footer-info-copyright">Text is available under the <a href="/wiki/Wikipedia:Text_of_the_Creative_Commons_Attribution-ShareAlike_4.0_International_License" title="Wikipedia:Text of the Creative Commons Attribution-ShareAlike 4.0 International License">Creative Commons Attribution-ShareAlike 4.0 License</a>; additional terms may apply. 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