Your work looks pretty good. However, you need to integrate over 3 dimensional space, not just over ##r##. How would you express the volume element ##dV## in terms of spherical coordinates?reminiscent said:I feel like this answer is too weird... I would like my work to be checked on.
I think the OP is using ##e'## for the proton charge in order to distinguish it from the base of the natural log function.BvU said:Do I see an ##e^{14}## in your ##E## ?
The forbidden region refers to an area within an atom where an electron is not allowed to exist based on its energy level. This is due to the laws of quantum mechanics.
The probability of an electron in the forbidden region is determined using mathematical equations and techniques from quantum mechanics, such as the Schrödinger equation. This allows scientists to calculate the likelihood of an electron being found in a specific energy level or region within an atom.
Understanding the probability of an electron in the forbidden region helps scientists better understand the behavior and properties of atoms. It also allows for the prediction and explanation of various phenomena, such as electron transitions between energy levels.
No, according to the laws of quantum mechanics, an electron cannot exist in the forbidden region. However, there is a small probability that an electron can tunnel through the forbidden region under certain conditions.
As the energy level of an electron increases, the probability of it being found in the forbidden region decreases. This is because higher energy levels allow for more freedom of movement and a larger space for the electron to occupy within the atom.