Electron shell further away from nucleus higher Energy lvl?

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Boomzxc
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Using electrical potential energy =1/4πεo Q1Q2/r , a particle further away from nucleus has lower magnitude of energy

Using coulomb's law, a particle further away from nucleus experiences weaker attraction, hence less energy is needed to maintain orbit* around that e-shell compared to a electron shell closerr to nucleus, hence the one closer to nucleus supposedly should have higher energy.

*i know in reality e- does not orbit around a atom, but its position exists as a probability density of radial probability function.
 
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Boomzxc said:
Using coulomb's law, a particle further away from nucleus experiences weaker attraction, hence less energy is needed to maintain orbit* around that e-shell compared to a electron shell closerr to nucleus, hence the one closer to nucleus supposedly should have higher energy.

No energy is needed to "maintain an orbit" regardless of what the energy level is. What requires energy is removing an electron from a bound state.
 
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Boomzxc said:
Using electrical potential energy =1/4πεo Q1Q2/r , a particle further away from nucleus has lower magnitude of energy

Using coulomb's law, a particle further away from nucleus experiences weaker attraction,
hence less energy is needed to maintain orbit* around that e-shell compared to a electron shell closerr to nucleus, hence the one closer to nucleus supposedly should have higher energy.
*i know in reality e- does not orbit around a atom, but its position exists as a probability density of radial probability function.

[SORRY TYPO] :
It's position exists as a probability density OR* radial probability function
 
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Orodruin said:
No energy is needed to "maintain an orbit" regardless of what the energy level is. What requires energy is removing an electron from a bound state.
Ahh yes ! Okay, i understand better now.
Yes, no energy is needed for an electron to maintain an orbit as acceleration is perpendicular to direction of motion

Removing e- from a atom or transitioning it to a higher energy level requires energy.

Thank you , orodruin !