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# Electron Shells

Picture an atom. Of course, you’ll probably never have seen one properly before - they’re tiny, tiny things. Take the thickness of a standard piece of printer paper, for example. How many atoms thick do you think it is? One thousand? Fifty thousand? Two hundred thousand? The answer is one million. Yes, really - one million atoms are only just as thick as a sheet of paper. In fact, it would take one hundred million atoms to form a line just one cm long.

An atom, as you’ll remember from Fundamental Particles, contains a nucleus full of protons and neutrons. This nucleus is extremely small and extremely heavy. If our atom was the size of a football stadium, the nucleus would only be the size of a marble. Most of what is left in the atom is empty space, but our atom also contains electrons, orbiting around the nucleus in things known as shells. These electron shells are an important part of electron configuration and atomic structure, and play a role in determining an atom or ion’s reactivity. But what exactly are they?

Electron shells are orbital paths that are followed by electrons around the nucleus of an atom. They’re also known as energy levels.

Each electron shell is given a number according to its distance from the nucleus, called the principal quantum number, n. Principal quantum numbers start at 1 and increase by 1 each time, so the first four energy levels have the principal quantum numbers 1, 2, 3, and 4 respectively. The higher the principal quantum number, the higher the energy level of the shell and the further away it is from the nucleus.

Higher energy shells can also hold more electrons. The first shell can only hold two electrons, but the second eight and the third eighteen. The general rule for the number of electrons a shell can hold is , where n is the shell’s principal quantum number. For example, the second shell can hold electrons.

Fig. 1 - A diagram showing how quantum numbers link to distance from the nucleus. As their quantum number increases, electron shells get further from the nucleus and can hold more electrons

## What are electron sub-shells?

Electron shells are split into smaller sub-shells which themselves contain orbitals. We’ll explore subshells together first before moving on to orbitals.

### Sub-shell types

Each energy level, which you’ll remember is just another term for an electron shell, contains a certain number of sub-levels. These are also known as sub-shells. You can think of sub-shells as mini divisions within each shell or energy level. The first four types of sub-shell are s, p, d, and f.

However, not every shell contains each type of sub-shell. For example, the shell nearest the nucleus with n = 1 only contains an s sub-shell. We call this sub-shell 1s. The second shell contains sub-shells 2s and 2p, while the third shell contains 3s, 3p, and also 3d.

### Sub-shell energy levels

We know that each electron shell has its own energy level. As the principal quantum number increases, the shell increases in energy level. Likewise, each of the sub-shells within a shell has a different energy level too. S sub-shells have the lowest energy level, then p, then d, then f. But you should remember that all the sub-shells in one electron shell have a lower energy level than the sub-shells in an electron shell with a higher principal quantum number. That may sound a little confusing, but it simply means that all the sub-shells in energy shell 2, for example, have a lower energy level than the ones in shell 3. However, there is just one exception. Sub-shell 3d has a higher energy level than 4s, despite it being in a shell with a lower principal quantum number.

Fig. 2 - Electron Shells quantum number energy shells StudySmarter

## What are electron orbitals?

Each sub-shell contains orbitals. So what is an orbital? Well, according to the Heisenberg uncertainty principle, it is impossible to know exactly where in space an electron is, and where it is headed at any given moment. This seems a little confusing and isn’t very helpful to scientists, but we can at least make predictions about where an electron is most likely to be found at any point, by observing and plotting its location over and over again to make a rough diagram. Although we don’t know where it is going, it gives us a rough idea of where the electron will probably be, the majority of the time. These areas are called orbitals.

Orbitals are properly defined as regions of space where electrons can be found 95 percent of the time.

Electrons aren’t actually particles. Sometimes they act like particles and sometimes they act like waves - for example, like light waves. It all depends on whether they are being observed or not. This is part of a field called quantum mechanics. In 1925, Erwin Schrödinger came up with an equation that helped us predict the location and energy of an electron, based on its behaviour as a wave. This equation helped him receive a Nobel prize for physics in 1933.

Let’s look at hydrogen. You’ll remember that hydrogen has one electron (see Atomic Structure), and if you plot this electron’s location again and again, you’ll eventually end up with a sketch looking something like this:

Fig. 3 - Hydrogen's one electron mostly occupies a spherical region

We know this region as the orbital from the sub-shell 1s. As you can see, this orbital is roughly spherical. Let’s take a closer look at the shapes and properties of all the other orbitals.

### Orbital shapes

Orbitals have different shapes, depending on their sub-shell. S orbitals are spherical, p orbitals are a figure of eight, and d orbitals can have a variety of shapes.

Fig. 4 - A diagram showing the shapes of the s orbital, left, and the p orbital, right

### Number of electrons

All orbitals can hold a maximum of 2 electrons. They can have fewer than 2, but they most definitely can’t have more. The different sub-shells also have different numbers of orbitals, which influences how many electrons they can hold. S sub-shells only have one orbital, whilst p sub-shells have three and the d sub-shell has five. This means that s sub-shells can have at most two electrons, p sub-shells can have six and d sub-shells can have ten. This is shown below:

Fig. 5 - A table showing the number of electrons in each sub-shell

You don’t need to go beyond this at A level, but you might be interested to know that f sub-shells have seven orbitals, and so can hold up to 14 electrons.

### Electron spin

The electrons in an orbital must have opposite spins. Spin is a property of electrons that can take it either up or down. In an orbital there can be at most one electron with an up spin, and one with a down spin. (Explore spin more in Understanding NMR.)

### Orbital energy

Orbitals in the same sub-shell all have the same energy. That means, for example, that all 10 electrons in the 3d sub-shell have the same energy as each other; both of the electrons in 2s have the same energy as each other.

The following diagram puts together what we know about shells, sub-shells, orbitals, and energy levels to show the quantities and energies of the orbitals up to 4p.

Fig. 6 - A diagram showing the energies of the different electron shells, sub-shells, and orbitals. Remember that each orbital can hold up to two electrons

## Electron configuration

Electrons fill shells, sub-shells, and orbitals in a certain order. They’re quite fussy, really - they like following certain rules. Take a look at Electron Configuration to find out more about how exactly electrons are arranged in an atom, but for now you should know that an atom’s electron configuration determines its reactivity and properties.

## Electron Shells - Key takeaways

• Electrons are arranged in shells, also known as energy levels. Each shell has a principal quantum number. Shells with a higher principal quantum number are further from the nucleus and have a higher energy level.

• Electron shells are split into sublevels called sub-shells. These vary in energy level too.

• Sub-shells contain different numbers of orbitals, which are regions of space where an electron can be found 95 percent of the time. Orbitals can only hold a maximum of two electrons and have different shapes.

• Electrons fill shells, sub-shells and orbitals in a certain order, known as an element’s electron configuration. This determines an atom’s properties and reactivity.

Electron shells are orbital paths that are followed by electrons around the nucleus of an atom. They’re also known as energy levels.

The first electron shell can hold two electrons. The second can hold eight, and the third 18.

Electron shells are made up of different types of subshells. The four types of subshells are s, p, d, and f.

Caesium has six electron shells. In fact, all elements in period 6 in the periodic table have six electron shells.

Electron shells are split into smaller subshells known as s, p, d, and f.

## Final Electron Shells Quiz

Question

What are electron shells?

Orbital paths around the nucleus of an atom followed by electrons.

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Question

Give another name for electron shells.

Energy levels.

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Question

As an electron shell’s principal quantum number increases, it:

Gets further from the nucleus.

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Question

As an electron shell’s principal quantum number increases, it:

​Increases in energy.

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Question

The third electron shell can hold at most 18 electrons. How many can the fourth shell hold?

32

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Question

What are electron sub-shells?

Subdivisions of energy levels within a shell.

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Question

Rank the following subshells by energy level, from lowest to highest: 3d, 3s, 3p.

3s, 3p, 3d

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Question

Rank the following subshells by energy level, from lowest to highest: 4s, 1s, 2p, 3d, 3p, 2s

1s, 2s, 2p, 3p, 4s, 3d.

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Question

What are orbitals?

Areas of space where you can expect to find an electron 95 percent of the time.

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Question

What two values can spin take?

Up and down

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Question

How many electrons can an orbital have at the most?

Two

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Question

How many electrons can s, p, and d sub-shells have?

S subshells have 1 orbital and so can have 2 electrons.

P subshells have 3 orbitals and so can have 6 electrons.

D subshells have 5 orbitals and so can have 10 electrons.

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Question

State the shape of the 2p orbital.

Figure of eight.

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