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Display information for equation id:math.3548.23 on revision:3548
* Page found: Synchrotron- und Laserstrahlung (eq math.3548.23)
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Hash: 78d73dca26c2d0c8637d548a53ffaa0c
TeX (original user input):
\lambda =500\text{nm}\quad d\lambda =\frac{{{\lambda }^{2}}}{c}d\nu =\frac{25\cdot {{10}^{-14}}{{\text{m}}^{\text{2}}}}{3\cdot {{10}^{8}}\text{m/s}}1,5\cdot {{10}^{8}}\text{/s}=1,25\cdot {{10}^{-13}}\text{m}=0,125\text{pm}=1,25\cdot {{10}^{-3}} \AA
TeX (checked):
\lambda =500{\text{nm}}\quad d\lambda ={\frac {{\lambda }^{2}}{c}}d\nu ={\frac {25\cdot {{10}^{-14}}{{\text{m}}^{\text{2}}}}{3\cdot {{10}^{8}}{\text{m/s}}}}1,5\cdot {{10}^{8}}{\text{/s}}=1,25\cdot {{10}^{-13}}{\text{m}}=0,125{\text{pm}}=1,25\cdot {{10}^{-3}}\mathrm {\AA}
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<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>λ</mi><mo>=</mo><mn>5</mn><mn>0</mn><mn>0</mn><mrow data-mjx-texclass="ORD"><mtext>nm</mtext></mrow><mspace width="1em"></mspace><mi>d</mi><mi>λ</mi><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>λ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></mfrac></mrow><mi>d</mi><mi>ν</mi><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mn>5</mn><mo>⋅</mo><msup><mrow data-mjx-texclass="ORD"><mn>1</mn><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>−</mo><mn>1</mn><mn>4</mn></mrow></mrow></msup><msup><mrow data-mjx-texclass="ORD"><mtext>m</mtext></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>2</mtext></mrow></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>3</mn><mo>⋅</mo><msup><mrow data-mjx-texclass="ORD"><mn>1</mn><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mn>8</mn></mrow></msup><mrow data-mjx-texclass="ORD"><mtext>m/s</mtext></mrow></mrow></mrow></mfrac></mrow><mn>1</mn><mo>,</mo><mn>5</mn><mo>⋅</mo><msup><mrow data-mjx-texclass="ORD"><mn>1</mn><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mn>8</mn></mrow></msup><mrow data-mjx-texclass="ORD"><mtext>/s</mtext></mrow><mo>=</mo><mn>1</mn><mo>,</mo><mn>2</mn><mn>5</mn><mo>⋅</mo><msup><mrow data-mjx-texclass="ORD"><mn>1</mn><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>−</mo><mn>1</mn><mn>3</mn></mrow></mrow></msup><mrow data-mjx-texclass="ORD"><mtext>m</mtext></mrow><mo>=</mo><mn>0</mn><mo>,</mo><mn>1</mn><mn>2</mn><mn>5</mn><mrow data-mjx-texclass="ORD"><mtext>pm</mtext></mrow><mo>=</mo><mn>1</mn><mo>,</mo><mn>2</mn><mn>5</mn><mo>⋅</mo><msup><mrow data-mjx-texclass="ORD"><mn>1</mn><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>−</mo><mn>3</mn></mrow></mrow></msup><mrow data-mjx-texclass="ORD"><mo>Å</mo></mrow></mstyle></mrow></math>
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