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Display information for equation id:math.1761.2 on revision:1761

* Page found: Homöopolare chemische Bindung des Wasserstoffmoleküls (eq math.1761.2)

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Hash: 30b40c3b55f81736819f83358800f7a8

TeX (original user input):

\begin{align}

& {{{\hat{H}}}_{a1}}=\frac{{{{\hat{\bar{p}}}}_{1}}^{2}}{2m}-\frac{{{e}^{2}}}{4\pi {{\varepsilon }_{0}}{{r}_{a1}}} \\

& {{{\hat{H}}}_{b2}}=\frac{{{{\hat{\bar{p}}}}_{2}}^{2}}{2m}-\frac{{{e}^{2}}}{4\pi {{\varepsilon }_{0}}{{r}_{b2}}} \\

& {{r}_{a1}}=\left| {{{\bar{r}}}_{1}}-{{{\bar{R}}}_{a}} \right| \\

& {{r}_{b2}}=\left| {{{\bar{r}}}_{2}}-{{{\bar{R}}}_{b}} \right| \\

\end{align}

TeX (checked):

{\begin{aligned}&{{\hat {H}}_{a1}}={\frac {{{\hat {\bar {p}}}_{1}}^{2}}{2m}}-{\frac {{e}^{2}}{4\pi {{\varepsilon }_{0}}{{r}_{a1}}}}\\&{{\hat {H}}_{b2}}={\frac {{{\hat {\bar {p}}}_{2}}^{2}}{2m}}-{\frac {{e}^{2}}{4\pi {{\varepsilon }_{0}}{{r}_{b2}}}}\\&{{r}_{a1}}=\left|{{\bar {r}}_{1}}-{{\bar {R}}_{a}}\right|\\&{{r}_{b2}}=\left|{{\bar {r}}_{2}}-{{\bar {R}}_{b}}\right|\\\end{aligned}}

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MathML (4.064 KB / 487 B) :

H^a1=p¯^122me24πε0ra1H^b2=p¯^222me24πε0rb2ra1=|r¯1R¯a|rb2=|r¯2R¯b|
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd></mtd><mtd><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>H</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>a</mi><mn>1</mn></mrow></mrow></msub><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>p</mi><mo>¯</mo></mover></mrow></mrow><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>m</mi></mrow></mrow></mfrac></mrow><mo>&#x2212;</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>4</mn><mi>&#x03C0;</mi><msub><mi>&#x03B5;</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>a</mi><mn>1</mn></mrow></mrow></msub></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd></mtd><mtd><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>H</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>b</mi><mn>2</mn></mrow></mrow></msub><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>p</mi><mo>¯</mo></mover></mrow></mrow><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>m</mi></mrow></mrow></mfrac></mrow><mo>&#x2212;</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>4</mn><mi>&#x03C0;</mi><msub><mi>&#x03B5;</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>b</mi><mn>2</mn></mrow></mrow></msub></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd></mtd><mtd><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>a</mi><mn>1</mn></mrow></mrow></msub><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>&#x2212;</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>R</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub><mo data-mjx-texclass="CLOSE">|</mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>b</mi><mn>2</mn></mrow></mrow></msub><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>&#x2212;</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>R</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>b</mi></mrow></msub><mo data-mjx-texclass="CLOSE">|</mo></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Homöopolare chemische Bindung des Wasserstoffmoleküls page

Identifiers

  • H^a1
  • p¯^1
  • m
  • e
  • π
  • ε0
  • ra1
  • H^b2
  • p¯^2
  • m
  • e
  • π
  • ε0
  • rb2
  • ra1
  • r¯1
  • R¯a
  • rb2
  • r¯2
  • R¯b

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