# Force potential energy relationship for two atoms with the same atomic number

### Attractive and repulsive forces between atoms | ACS Network

If the charge moves in the same direction as the force it experiences, it is losing The relationship between work, kinetic energy, and potential energy, No external forces act on this system of two charges, so the energy must be conserved. In the Bohr model of a hydrogen atom, the electron, if it is in the. I understand that the potential energy changes with the distance between there is no way the repulsive force between them can be compensated. the same with these atoms, apart the energy is potential and this is reduced is stored potential energy, so if two atoms become very close there is a force. A neutral atom has the same number of electrons and protons, Z. The interaction energy is the potential energy between the atoms. The interaction energy is the integral of the force over the separation distance, so these two quantities are.

What if our electron's in the ground state and we send a five eV photon at it? If the electron were to absorb all of the energy of the five eV photon, it would now have five electron volts, but that's not an allowed energy level, so the electron can't absorb this photon, and the photon will pass straight through the atom. Keep in mind, the electron in the atom has to absorb all of the photon's energy or none of it.

It can't just absorb part of it. Alright, so now we could figure out every possible photon this atom could absorb.

If the electron's in the ground state, it could absorb a four eV photon, or a six eV photon, or a seven eV photon. If the electron's at the second energy level, also called the first excited state, the electron could absorb a two eV photon or a three eV photon.

And if the electron were at the third energy level, or the second excited state, the electron could absorb a one eV photon. Those are the only photons that this atom will be seen to absorb. What this means is that if you were to shine light that consisted of all possible wavelengths through a gas that was composed of our pretend atoms, all the wavelengths would not make it through.

Some of the wavelengths would get absorbed, then scattered away in random directions. This would manifest itself as dark lines in the spectrum, missing wavelengths or missing energy levels that correspond to the energies of photons that our electron can absorb. This is like a fingerprint for an atom, and it's called that atom's absorption spectrum. If you were to ever see this progression of dark lines in these exact positions, you would know that the gas you were looking at was composed at least partly of our hypothetical atom.

This also allows astronomers to determine what stuff in our universe is made out of, even though we can't get close enough to collect a sample. All we have to do is collect light from a distant star or quasar that shines through the stuff we're interested in, then just determine which wavelengths or energies got taken out. The details are a little messier than that, but this provides astronomers with maybe the most important tool at their disposal.

Now the absorption spectrum are all of the wavelengths or energies that an atom will absorb from light that passes through it. You could also ask about the emission spectrum.

The emission spectrum are all of the wavelengths or energies that an atom will emit due to electrons falling down in energy levels. You could go through all the possibilities of an electron falling down again, but you'd realize you're gonna get the exact same energies for the emission spectrum that you got for the absorption spectrum.

So instead of letting light pass through a gas composed of your hypothetical atoms, let's say you made a container that had the gas of your hypothetical atoms, and you ran an electric current through it, exciting those electrons to higher energy levels and letting them fall back down to lower energy levels. This is what happens in neon lights, or if you're in science class it's what happens in gas discharge tubes.

So for the emission spectrum, instead of seeing the whole electromagnetic spectrum with a few lines missing, you're going to only see a handful of lines that correspond to the energies of those photons that that atom will emit.

### Chapter 2. Atomic Structure and Bonding

Okay I've gotta be honest about something. If any physicists are watching this video, they're cringing because the energies that electrons will have in an atom are not positive. The energies an electron can have in an atom are actually all negative values. This is because the electron's bound to the atom. Anything that's bound to something else will have total energies that are negative.

This is analogous to a ball stuck at the bottom of a ditch. If the ball's not moving it has no kinetic energy, and if we assume that ground level is the H equals zero position, then this ball's gonna have a negative gravitational potential energy. Since this ball has a negative total energy, it's stuck and bound to the ditch.

If someone could give this ball enough energy so that it would have positive total energy, the ball could leave the ditch. It would not be bound anymore. So to make our hypothetical atom a little more realistic, let's subtract 10eV from each energy level. This doesn't really change anything. In order for the electron to get from the eV ground state to the -6eV first excited state, it's still gonna take a four eV photon.

People do get confused with the negative signs though, so be careful. In order to find the energy of the photon that was absorbed or emitted, you always take the higher energy level and subtract from it the lower energy level. So in this case, we would take -6eV, and subtract from it eV, which tells us that it would take a four eV photon to bump an electron up to that energy level, and the electron would emit a four eV photon if it dropped back down from that level.

Energy is conserved, so the kinetic energy at the end is equal to the potential energy at the start: The masses are known, but the two velocities are not.

### Lennard-Jones Potential - Chemistry LibreTexts

To solve for the velocities, we need another relationship between them. Because no external forces act on the system, momentum will also be conserved. Before the string is cut, the momentum is zero, so the momentum has to be zero all the way along. The momentum of one ball must be equal and opposite to the momentum of the other, so: Plugging this into the energy equation gives: Electric potential Electric potential is more commonly known as voltage.

The potential at a point a distance r from a charge Q is given by: If there is a pressure difference between two ends of a pipe filled with fluid, the fluid will flow from the high pressure end towards the lower pressure end.

Charges respond to differences in potential in a similar way. Electric potential is a measure of the potential energy per unit charge.

## Why does the potential energy get lower as atoms get closer?

If you know the potential at a point, and you then place a charge at that point, the potential energy associated with that charge in that potential is simply the charge multiplied by the potential.

Electric potential, like potential energy, is a scalar, not a vector. These often appear on field line diagrams. Equipotential lines are always perpendicular to field lines, and therefore perpendicular to the force experienced by a charge in the field.

If a charge moves along an equipotential line, no work is done; if a charge moves between equipotential lines, work is done. Field lines and equipotential lines for a point charge, and for a constant field between two charged plates, are shown below: Note that the Bohr model, the idea of electrons as tiny balls orbiting the nucleus, is not a very good model of the atom.

- Attractive and repulsive forces between atoms
- Binding energy
- Atomic Energy Levels

A better picture is one in which the electron is spread out around the nucleus in a cloud of varying density; however, the Bohr model does give the right answer for the ionization energy, the energy required to remove the electron from the atom.

The total energy is the sum of the electron's kinetic energy and the potential energy coming from the electron-proton interaction. This can be found by analyzing the force on the electron. This force is the Coulomb force; because the electron travels in a circular orbit, the acceleration will be the centripetal acceleration: Note that the negative sign coming from the charge on the electron has been incorporated into the direction of the force in the equation above.