Bohr's atomic model ,does a change of energy level equal a change of mass level?

Question

In this case there is an equivalence of mass-energy?

Answer 1

Let's do some math. The ground state of the Hydrogen atom has the electron bounded to the proton with an energy equal to E_0 = -13.6eV (eV = electron volts, google it for a definition, but it's an energy unit). Let's put in as much energy into the system as we can: let's ionize the atom and remove the electron. Getting the electron to a higher energy level always puts in less energy than this. So if we give the electron 13.6eV, what will the difference in mass be if all the energy goes to the increased mass? Well, working with eV units makes this easy: the increase in mass is 13.6 eV/c^2. An eV/c^2 is a unit of mass, c being the speed of light. Try this for yourself by converting eV to Joules (1eV = 1.6022 x 10^-19 J) and dividing out the speed of light. The resulting number and units is in kg. Anyway, the rest mass of an electron is 511keV/c^2. So the increase in mass is about (13.6 x 10^-3 keV/c^2 / 511 keV/c^2) x 100% = 0.003%.

A complication is that when an electron gains energy, not all of it would go to mass. It would go to kinetic energy mostly. You can calculate the difference in mass using relativity equations (not the simple E=mc^2, but the actual Transform equations), and it's going to be so tiny that it's not measurable. It's only at extremely high energies (velocities) that it's measurable, and the way to measure it would be through the momentum. This is why that most physicists never talk about any increases in mass. They only care about the rest mass and the momentum/energy of a particle.

But, to answer your question more simplistically, YES a change in energy level would result in a change in mass of the electron, just really really small. This is an example of mass-energy equivalance, but so is compressing a spring (compressing increases potential energy, thus increasing the mass). Mass and energy are just two forms of the same thing.

Answer 2

Good try! The total mass of the atom stays the same.

This is a perfect example of E=mc^2 or E=hf. (I think you had these equations in mind when you asked this question.) The energy change is either emitted as a photon in case of dropping fro higher to a lower orbit or a photon of energy is observed when an electron movers from lower to a higher orbit.

Answer 3

The mass is the sum of the number of particules that form the atom (protons, neutrons and electrons). It is indicated by the letter Z in the periodic table.
If you increase the energy of an electron (i.e. with a photon), it changes orbit, but the mass stays the same.

Answer 4

Using equivalence of mass and energy , we can explain the energy levels of atoms as the potential energy and kinetic energy . The potential energy can be thought of rest mass- energy and the kinetic energy as the increase of mass energy due to the kinetic energy.

Simply we have to use the equation E= m cc.

Answer 5

the change in energy level will send the electrons from their rest state to an excited state, and back again. it does not change the mass. the word for increased energy level is increased magnitude not increased mass.

Answer 6

I don't think so.. Mass would stay constant.. But we should also remember that Velocity cause expansion.. :( Sorry I tried..

Answer 7

Bhor`s atomic models real.!
Photon`s energy level is one,we don`t seen (don`t watch) it.
there is it and there is not it,and then there is it.

( there are bing-bang and again new bing-bang)