What are Electron Orbitals?

This is an atom.

File:Helium atom QM.svg

Behold, this is a real atom!

Before we begin to talk about electron orbitals, let’s get one thing straightened out: atoms do not have these little particles moving around them in well-defined, circular orbits. The “particles” we call electrons (which are and aren’t particles, by the way) do not orbit in circles around nuclei, nor do they have any well-defined position around the nucleus, nor do they have any well-defined speed (momentum, technically). It’s easy to imagine atoms with a nucleus and electrons orbiting it not only because that’s what we’re taught in school, but also because it’s much easier than imagining a dot with a blob around it. We’re used to thinking of everything being definite, however that’s not how reality works on the subatomic scale.

A quick run-through on electrons

What most people think:

  • Electrons are particles
  • They orbit nuclei
  • We know everything about them

What reality says:

  • Electrons act like particles, but also like waves
  • Electrons also act neither like particles nor like waves
  • They do not have orbits, but probability clouds
  • There is even a probability (though very small) that an electron is miles away from the nucleus
  • We know a lot about them, but they still mystify us

With these facts under our scientific tool belt, let’s figure out what atomic orbitals are.

Atomic/electron orbitals

“They do not have orbits, but probability clouds.” Before I seem self-contradictory, let me explain what orbitals are. Electron orbitals, also called atomic orbitals, are not definite orbitals nor circular orbits like we tend to think. They are probability clouds. Probability clouds are sections around atoms in which an electron has a chance to be found. The picture of the helium atom shown earlier shows that the closer to the center (nucleus) one looks, the darker the cloud gets. Darker regions relate to higher probabilities of an electron being found, and lighter regions relate to lower probabilities.

There are four main types of orbitals: s, p, d, and f orbitals. These depend on how many electrons are in each element. The aim of this post is for conceptual understanding, so for those who wish to learn how to use these configurations to find electron configurations of various elements, continue reading here.

Why do these shapes occur? Enter VSEPR.

The laws of nature favor efficiency. When given the opportunity, atoms, particles, etc., will pack themselves as close as possible. Atoms will do this in materials, creating what’s called close packed planes. Electrons do something similar with electron orbital shapes by making them as close to spheres as possible, since spheres are the closest packed shape. Upon looking at the periodic table of clouds above, it may seem ironic that some clouds appear to be quite open. Due to atomic forces, the shapes are not always close to spheres, but they are as close as physically possible.

How do we make these shapes? We use VSEPR theory (commonly pronounced “vesper”). It stands for Valence Shell Electron Pair Repulsion. The name is pretty self explanatory, but the method of forming the shapes is not. If you’d like to find out how to do it, check out this link to learn some VSEPR basics.

Special shapes

Pi and sigma bonds

We learned about chemical bonds in a previous post, but I decided not to mention that chemical bonds influence orbital shapes. Typically, bonds produce ligands which are shaped similarly like p orbitals, but with only one lobe. The main bonds are ionic, metallic, covalent, van der Waals, and (arguably) hydrogen. There are two special bonds, which will be covered in another post, called pi and sigma bonds. These bonds produce their own special orbitals.

Hybridization

Remember, there are four main orbital shells: s, p, d, and f. The s and p shells are able to combine, or hybridize into the sp orbitals. Since life is 3-dimensional, there are three orientations of the p orbital. When combined with the spherical s orbital, it can form an odd shape similar to a balloon with a tied end. If you add the 4 hybrid orbitals, you get a balloon tetrahedron! Or you can just look at the image below.

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