# Calculating Time of Excited Electron in Ground State

• Darkmisc
In summary, the amount of time an electron spends in an excited state before dropping back to its ground state is determined by its energy level and the diameter of the electron. The attraction between the electron and the nucleus plays a role, but it is not the sole cause. In heavy elements, the electrons may spend less time in their excited states due to their higher energy levels. The time it takes for an electron to reach its peak before falling back to its ground state can be calculated using Planck's constant and the energy level and diameter of the electron.
Darkmisc
What determines the amount of time that an electron spends in an excited state before it drops back to its ground state?

Is the attraction between the electron and the nucleus the cause? Would the electrons in heavy elements spend less time in their excited states?

I'm conceptualising an excited electron as similar to a ball thrown in the air (that must fall back to earth).

If we:

1. (erroneously) assume that an electron can travel in the space bewteen energy levels; and
2. apply classical mechanics to predict how long the electron should take to reach its peak before falling to its ground state (due to attractive force of nucleus),

would that time be the same as the time it takes for the electron to make a quantum leap to its excited state and then back to its ground state?

Thanks

well delta E, delta t(time) >_ Plancks constant
there you can calculate the time if you know the energy where
E= (pi)^2 (plancks)^2 (n)^2/(2mL^2)
where n is the energy level and L is the diameter of an electron.
There you can calcuate the time it will spend on the energy state.

## 1. How do you calculate the time of an excited electron in the ground state?

The time of an excited electron in the ground state can be calculated by dividing the energy difference between the excited and ground state by the transition frequency. This equation is known as the time-energy uncertainty principle.

## 2. What is the significance of calculating the time of an excited electron in the ground state?

Calculating the time of an excited electron in the ground state allows us to better understand the dynamics of electron transitions and the behavior of atoms and molecules. It can also provide insight into the stability and reactivity of chemical compounds.

## 3. Can the time of an excited electron in the ground state be measured experimentally?

Yes, the time of an excited electron in the ground state can be measured experimentally using techniques such as time-resolved spectroscopy or pump-probe spectroscopy.

## 4. How does the time of an excited electron in the ground state relate to the uncertainty principle?

The time of an excited electron in the ground state is related to the uncertainty principle, which states that it is impossible to know both the exact position and momentum of a particle at the same time. In this case, the more accurately we know the energy of the electron, the less accurately we can determine its transition time.

## 5. Are there any limitations to calculating the time of an excited electron in the ground state?

One limitation to calculating the time of an excited electron in the ground state is that it assumes a perfect transition between energy levels. In reality, there may be other factors that affect the transition time, such as external forces or interactions with other particles. Additionally, the uncertainty principle sets a limit on how accurately we can determine the transition time.

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