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Display information for equation id:math.3306.25 on revision:3306

* Page found: Kernradien (eq math.3306.25)

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Hash: 2854cb7a26c4db8a1e7d12cbe0986eab

TeX (original user input):

\frac{d\sigma}{d\Omega}_{\text{Mott}}=\frac{1}{4\pi\epsilon_0}\left(Z Z' 2 W e^2 \right)^2\frac{1}{q^4c^4}\left[1-\frac{v}{c}\sin^2\frac{\theta}{2}\right]

TeX (checked):

{\frac {d\sigma }{d\Omega }}_{\text{Mott}}={\frac {1}{4\pi \epsilon _{0}}}\left(ZZ'2We^{2}\right)^{2}{\frac {1}{q^{4}c^{4}}}\left[1-{\frac {v}{c}}\sin ^{2}{\frac {\theta }{2}}\right]

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MathML (experimentell; keine Bilder) rendering

MathML (1.924 KB / 421 B) :

dσdΩMott=14πϵ0(ZZ2We2)21q4c4[1vcsin2θ2]
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>&#x03C3;</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi mathvariant="normal">&#x03A9;</mi></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>Mott</mtext></mrow></mrow></msub><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>4</mn><mi>&#x03C0;</mi><msub><mi>&#x03F5;</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mrow></mfrac></mrow><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>Z</mi><msup><mi>Z</mi><mo>&#x2032;</mo></msup><mn>2</mn><mi>W</mi><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi>q</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msup><msup><mi>c</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msup></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mn>1</mn><mo>&#x2212;</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>v</mi></mrow><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></mfrac></mrow><msup><mi>sin</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>&#x03B8;</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">]</mo></mrow></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Kernradien page

Identifiers

  • d
  • σ
  • d
  • Ω
  • π
  • ϵ0
  • Z
  • Z
  • W
  • e
  • q
  • c
  • v
  • c
  • θ

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