Why do electrons move?

Q:One of my students asked me, "Why does the electron move at all?" I admitted I didn’t know and would like to find out for myself and for her. Thanks

-David DeCarli
Cromwell High School, CT, USA
A:David -

Awesome question! (Give your student my compliments for thinking it
up!) Naturally, one would think that because protons are positively
charged, and electrons are negatively charged, the two should attract
and stick together. The reason that doesn’t happen can’t even begin
to be explained using classical physics. This was one of the key
mysteries that were cleared up right away by the invention of quantum
mechanics around 1925.

The picture you often see of electrons as small objects
circling a nucleus in well defined "orbits" is actually quite wrong.
As we now understand it, the electrons aren’t really at any one place
at any time at all. Instead they exist as a sort of cloud. The cloud
can compress to a very small space briefly if you probe it in the
right way, but before that it really acts like a spread-out cloud.
For example, the electron in a hydrogen atom likes to occupy a
spherical volume surrounding the proton. If you think of the proton
as the size of a grain of salt, then the electron cloud would have
about a ten foot radius. If you probe, you’ll probably find the
electron somewhere in that region.

The weird thing about that cloud is that its spread in
space is related to the spread of possible momenta (or velocities) of
the electron. So here’s the key point, which we won’t pretend to
explain here. The more squashed in the cloud gets, the more spread
out the range of momenta has to get. That’s called Heisenberg’s
uncertainty principle. It could quit moving if it spread out more,
but that would mean not being as near the nucleus, and having higher
potential energy. Big momenta mean big kinetic energies. So the
cloud can lower its potential energy by squishing in closer to the
nucleus, but when it squishes in too far its kinetic energy goes up
more than its potential energy goes down. So it settles at a happy
medium, with the lowest possible energy, and that gives the cloud and
thus the atom its size.

That basically answers your question, although we admit that
the answer sounds strange. There really are very definite
mathematical descriptions to go along with those words.

You might be interested in some more properties of those electrons in atoms.

If just the right amount on energy is applied, it is
possible to knock an electron up to a higher energy orbital (a
different shape of cloud, not so close to the nucleus), or even
completely off of the atom. If electrons are knocked off of the
atoms, they can create electricity. (This is what you see when you
look at a VanDeGraff Generator or at lightning.)

If they are only given some energy, but not enough to
knock them loose, they will move from one orbital to another (say
from the S-orbital to the P-orbital). But if there is no other
electron in the lower-energy orbital, they will fall back down again.
When they do, they release energy in the form of a photon (light).
This is part of the concept that lasers are based on.

Well...I apologize for this answer being so long. Thanks
for sticking with me up to here! I hope this answers your question.

-Tamara

(republished on 07/21/06)

Follow-Up #1

Q:how do electrons move around the nucleus

-Anonymous
A:The easiest case to describe is a hydrogen atom. It has just one electron. That electron exists in a spherically symmetric cloud around the nucleus. It's not going anywhere at all. However, the cloud has the potential to show movement in any direction if something comes along to 'measure' that movement. Likewise the electron can be found in any position in that little cloud if something comes along to measure the position to that accuracy.
If that sounds mysterious, it is.

Mike W.

(published on 06/13/09)

Follow-Up #2

Q:I've heard that electrons don't collapse in on the nucleus because the trajectory that they take around the nucleus must be an integer of their wavelength, or else they will destructively interfere with themselves. Thus their wavelength, which is proportional to their energy, prevents them from collapsing, because in order to radiate energy, the energy must be given off at a certain rate, which would cause the electron wave to destructively interfere with itself . . . My question is where do electrons get their kinetic energy, and thus their wavelengths from, and, if that wavelength theory is true, how can they be lowered back to their orininal energy level after being elevated by a photon, since that would cause destructive interference?

-John (age 17)
Jamestown, Ohio, United States
A: John- Those things you've heard are often taught in school and pictured in popular science shows. Nonetheless they are false or too vague to be useful.

Electrons in atoms, like all objects on a small scale, show quantum properties which cannot be pictured in any familiar way.  They don't have either a particular wavelength or a particular position.

The explanation of why the electrons don't collapse in further toward the nucleus is more like this. In classical physics, a particle can have any kinetic energy regardless of what position it's at, but not in quantum mechanics.  The kinetic energy is determined by the shape of the same 'wave-function' which also represents the probable positions of the particle. If the wave is scrunched in tightly, the kinetic energies it represents are big. So when a wave starts scrunching in close to the nucleus, its kinetic energy goes up more than its potential energy goes down.

The ordinary atomic size minimizes the total energy.

Mike W.

(published on 06/13/09)

Follow-Up #3

Q:BUT THE QUESTION REMAINS, WHY DOES THE ELECTRON START MOVEMENT AT ALL? WHERE FROM DOES IT GET THE ENERGY?

-RAGINI (age 15)
MUMBAI, MAHARASHTRA, INDIA
A:That would be a big problem if somehow there was a way for the electrons to start with zero energy. If an electron is floating around on its own, its kinetic energy can be very low. However, there is then a lot of electrostatic energy associated with its electric fields.That can be lowered by bringing it closer to a positive charge, like a proton.  That can form a simple hydrogen atom. The electron will now have more kinetic energy, but less potential energy.  The extra energy will radiate away as an electromagnetic field.

Mike W.

(published on 06/26/09)

Follow-Up #4

Q:What is the property of a particle that enables particles to be accelerated by a potential difference

-Alex (age 17)
Aus
A: It's electric charge.  A potential difference is measured in Volts.  A particle with charge equal to that of an electron will experience a 1 eV increase in energy for a 1 V increase in potential.  An alpha particle, with charge twice that of an electron, would get 2 eV increase in energy, etc.   Since this quantity has an algebraic sign you can both accelerate and decelerate charged particles.  By the way, one electron volt is equal to 1.602x 10−19 joules.

LeeH

(published on 07/07/09)

Follow-Up #5

Q:what is the speed, with what the electron orbits around the atom, close enough to c, so relative effects apply or not ? when the electron is a lonely walker in vacuum, does it behaves like a ball or like a wave( i mean is it nessesary to orbit around a nuclies, to think of it like wave-cloud-etc, while not observing ) . and if it behaves like ball/wave, if we accelerate it to close-c-velocities what would happen according lorenzs' contraction;

-димитър (age 18)
българия
A: For small atoms, relativistic effects aren't very big. The binding energy of the electron in hydrogen is about 13.6 eV.  (That's about -27.2 potential, +13.6 kinetic.) The rest energy of an electron is about 500,000 eV. So the kinetic energy is small compared to the rest energy, and thus relativistic effects are small. For the inner electrons in big atoms the energies are large enough for the relativistic effects to be major.

The basic quantum rules (the Dirac equation, for an electron) apply whether or not the particle is in a bound state. The Dirac equation is relativistic and applies regardless of the electron's energy, unlike the approximate non-relativistic Schroedinger equation. The Dirac equation is still a wave equation. If the electron cloud is accelerated, its spatial dimensions change according to the same Lorentz transforms as any other spatial dimensions. If the cloud starts off spherical, it becomes pancake-shaped.

Mike W.

(published on 08/17/09)

Follow-Up #6

Q:I'm not here to ask a question but make a statement on this subject. See, the problem with Quantum Physics is that they don't take into account the universe. The universe is moving and so is the matter inside of it for one basic reason; we are in a black hole. The reason the electron is moving, because we are moving in a shape of a vortex. The most important question that most teachers and professors don't address when it comes to atoms is, why do positive charges stick together? The answer is: Gravitational Singularity. If you think of earth as being an atom and people as the electrons, the people are pulled towards the core of the earth, but due to the distance the force is weak, and we are able to move around and continue with our daily lives. It's the same case with the atom; gravitational singularity at the core of the atom is what's holding the protons together, and allowing electrons to stay in orbit.

-John (age 21)
NJ
A: Ok, since you don't have any questions, I do. Do you have any shred of evidence for any one of those assertions? Are you able to calculate any actual measurable physical quantity, like those which are calculated using quantum theory, including the attractive nuclear force?


Mike W.


(published on 11/04/09)

Follow-Up #7

Q:Why do electrons move like a wave? instead of a line. is there a hidden force making them move like a wave?

-Bo (age 21)
NYC
A: In almost every modern interpretation of quantum mechanics electrons (and all other small things) show wave-like behavior because they are indeed waves. They are, however, quantum waves, which in some regards behave quite differently from classical waves. For example, when the wave is heading toward many different-looking outcomes, you only see one, not a combination. Sometimes that's reminiscent of how a particle, heading to just one place, would act.

One interpretation, due to David Bohm, claims that these quantum objects are actually point-like coordinates influenced by a wave. So in this interpretation an electron is a wave plus a coordinate dot. That's the closest to the picture you have in mind.

So far as I know, the Bohm interpretation adds nothing (except some hassle with relativity) to the simpler interpretation that the wave is all there is.

Mike W.

(published on 11/04/09)

Follow-Up #8

Q:In answering the question "Why do "Electrons Move", you say "With a strong enough force, it is possible to give an electron enough energy to knock it up to a higher energy orbital, or even completely off of the atom (if the force which is giving it the energy to move around is stronger than the electric force holding it near the nucleus). If electrons are knocked off of the atoms, they create electricity" My question is, where do these forces come from? How do we create these forces? I’d like to be able to explain this to my students, but mostly I just want to know. Thanks, Sally Anne Rosenberg

-Sally Anne Rosenberg
Park School, Alhambra, Ca. USA
A:The main forces that accelerate the electrons are (no surprise) electrical forces, from electrical fields. There are all sorts of ways of getting big electrical fields on atoms. One is to shine light on the atoms, since light consists of an electromagnetic wave. Another way is to combine chemicals which react (say by burning some gas). As the electrons rearrange, electromagnetic energy can be released.
Once you get some atoms or electrons moving around quickly, say with a burner or electrical heater, they can bounce off other atoms, transferring some of their energy.

(republished on 07/21/06)

 

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