Understanding Atom Orbits: Calculating Lost Energy

In summary, the conversation discusses the incorrect idea that electrons orbit the nucleus like planets around the sun and the issue of energy loss in this scenario. The Larmor formula is mentioned as a way to calculate the energy loss of an accelerated charge, and it is noted that assuming the electron is orbiting the nucleus allows for the calculation of the centripetal acceleration and the time it would take for the electron to spiral into the nucleus. However, this would happen quickly.
  • #1
Bjarne
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Once it was thought that electrons was orbiting nucleus almost like planet the Sun.
But this could not be correct because then would the electron lose their energy and spiral into the core.
My question is how such orbit energy lost can be calculated.

This is not homework.
 
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  • #2
Classically, an accelerated charge emits radiation. The Larmor formula tells you the total power emitted by an accelerated charge, and it [tex]P=\frac{2e^2a^2}{3c^3}[/tex], where e is the electron charge, a is the acceleration, and c is the speed of light. If you assume the electron is orbiting the nucleus, you can calculate the centripetal acceleration and how long the electron takes to spiral into the nucleus. It doesn't take long!
 

1. What are atom orbits?

Atom orbits refer to the paths that electrons follow around the nucleus of an atom. These paths, also known as energy levels, are quantized and are determined by the amount of energy an electron possesses.

2. How is lost energy calculated in atom orbits?

Lost energy in atom orbits can be calculated using the formula E = hf, where E is the energy lost, h is Planck's constant, and f is the frequency of the electromagnetic radiation emitted by the electron.

3. Why is it important to understand atom orbits and lost energy?

Understanding atom orbits and lost energy is crucial in fields such as chemistry, physics, and materials science. It helps us understand the behavior of atoms and how they interact with each other, which is essential in developing new technologies and materials.

4. How do different factors affect lost energy in atom orbits?

The amount of energy lost in atom orbits can be affected by various factors such as the type of atom, the energy level of the electron, and the presence of external forces such as electric or magnetic fields. The energy lost can also vary depending on whether the electron is transitioning to a higher or lower energy level.

5. Can lost energy in atom orbits be recovered?

No, lost energy in atom orbits cannot be recovered. Once an electron transitions to a lower energy level, it releases the excess energy in the form of electromagnetic radiation, and this energy cannot be regained by the atom.

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