This pattern details how to make the shapes of all of the atomic orbitals found in atoms: The s-orbital, p-orbitals, d-orbitals, and f-orbitals. These orbitals describe the shape of the electron clouds surrounding the nuclei of all atoms.I have included a lot more scientific explanation about this in my pattern, but if you'd prefer to watch a video instead, I recommend this Crash Course video.
Difficulty:
Easy
You will need:
- A 2.5mm hook
- dk yarn in yellow, purple, turquoise, and green
- Toy stuffing
- A darning needle
- A pair of scissors
What are atomic orbitals?
As explained in my atom on the structure of an atom, electrons orbit the nucleus of an atom in specific shells (also known as energy levels) that, in the most simple model, are represented as spheres around the outside of the atom. However, in reality its a little more complicated than this.
Pauli's exclusion principle and principle quantum numbers
Pauli's exclusion principle (a law relating to quantum mechanics) states that no two electrons within the same system (in this case within the same atom) can have the same 4 quantum numbers. These are the principle quantum number, angular momentum quantum number, magnetic quantum number, and spin quantum number. This may sound a little dull but bear with me.
The principle quantum number refers to the shell of the electron. Each subsequent shell will be able to hold a greater number of electrons than the previous one, the reason for this should soon become apparent.
Within each shell there will be a number of different sub-shells, which is what the angular momentum quantum number refers to. There are 4 possible types of subshells: s, p, d, and f. In this pattern these are represented with different colours: s is yellow, p is purple, d is turquoise, and f is green. The first shell will contain only the s subshell, the second will contain an s subshell and a p subshell, the third an s, a p, and a d subshell, and finally the fourth will contain all 4 of the possible subshells. So far we have not been able to discover or create an atom with a greater number of electrons than this, since the number of nucleons (see my atomic structure pattern) required to balance out the charge on the electrons makes the atom highly unstable.
Within each subshell there will be a certain number of orbitals. This is what determines the magnetic quantum number of the electron. Each of the structures created in this pattern represents a certain type of orbital. As you should see when you start to make this pattern (or look closely at the images), the s subshell contains only one orbital, the p subshell contains 3, the d subshell contains 5 and the f subshell contains 7.
Each orbital can hold exactly 2 electrons. These electrons must have opposite spin, such that they can overcome the electrostatic repulsion they exert on each other because of their charge. This is what determines the spin quantum number. This spin of an electron can be either +1/2 or -1/2; think of it simply as an intrinsic property of that electron. You should now be able to see why the number of electrons a shell can hold will increase with increasing shell number. Each orbital can hold a maximum of 2 electrons, and these orbitals make up the subshells. There are more subshells in each subsequent shell (and each added subshell contains more orbitals than the last), so the number of electrons it can hold will increase
So, at its most basic level, an atomic orbital can be defined as a region in space that can hold up to 2 electrons with opposite spin.
The s orbital
For the s orbital:
With yellow make a magic loop with 6sc
Round 1: make 2sc in each st (12sc)
Round 2: (sc, make 2sc in the next st) 6 times to end (18sc)
Round 4: (sc6, make 2sc in the next st) 3 times (24sc)
Rounds 5 - 8: (4 rounds) sc in each st
Round 9: (sc6, sc2tog) 3 times (21sc)
Round 10: (sc5, sc2tog) 3 times (18sc)
Round 11: (sc, sc2tog) 6 times
Round 12: sc2tog 6 times (6sc)
Fasten off
Stuff firmly

For the P orbitals (make 3):
With purple make a magic loop with 6sc
Round 1: make 2sc in each st (12sc)
Round 2: (sc, make 2sc in the next st) 6 times to end (18sc)
Rounds 4 -8: (5 rounds) sc in each st
Round 9: (sc5, sc2tog) 3 times (18sc)
Round 10: (sc4, sc2tog) 3 times (15sc)
Round 11: (sc3, sc2tog) 3 times (12sc)
Round 12: (sc2, sc2tog) 3 times (9sc)
Round 13: (sc, sc2tog) 3 times (6sc)
Stuff firmly
Round 14: sc in each st
Round 15: (sc, make 2sc in the next st) 3 times (9sc)
Round 16: (sc2, make 2sc in the next st) 3 times (12sc)
Round 17: (sc3, make 2sc in the next st) 3 times (15sc)
Round 18: (sc4, make 2sc in the next st) 3 times (18sc)
Round 19: (sc5, make 2sc in the next st) 3 times (21sc)
Rounds 20 - 24: (5 rounds) sc in each st
Round 25: (sc5, sc2tog) 3 times (18sc)
Round 26: (sc, sc2tog) 6 times (12sc)
Round 27: sc2tog 6 times (6sc)
Fasten off

The probabilistic nature of electrons
When scientists begun to study electrons in great detail they realised that they exhibited some very strange behaviour. Their weirdness manifested in many forms, but one consequence of this is that electrons don't follow nice trajectories like was imagined in the most basic model of the atom. Instead they move around somewhat randomly, which brings about an alternative definition of the orbital. In quantum mechanics, the orbital is defined as being a region in space where there is a 95% probability of finding an electron. The most likely place that the electron will be located will be along the boundary of the orbital.
The d orbitals

For the first type of orbital (make 4):
With turquoise make a magic loop with 6sc
Round 1: make 2sc in each st (12sc)
Rounds 3 - 7: (5 rounds) sc in each st
Round 8: (sc4, sc2tog) 3 times (15sc)
Round 9: (sc3, sc2tog) 3 times (12sc)
Round 10: (sc2, sc2tog) 3 times (9sc)
Round 11: (sc, sc2tog) 3 times (6sc)
Stuff firmly
Round 12: (sc, sc2tog) twice (4sc)
Round 13: sc in each st
Round 14: (sc, make 2sc in the next st) twice (6sc)
Round 15: (sc, make 2sc in the next st) 3 times (9sc)
Round 16: (sc2, make 2sc in the next st) 3 times (12sc)
Round 17: (sc3, make 2sc in the next st) 3 times (15sc)
Round 18: (sc4, make 2sc in the next st) 3 times (18sc)
Rounds 19 - 23: (5 rounds) sc in each st
Round 24: (sc, sc2tog) 6 times (12sc)
Stuff firmly
Round 25: sc2tog 6 times (6sc)
Fasten off
For the lobes (make 2):
Round 2: (sc, make 2sc in the next st) 6 times to end (18sc)
Rounds 3 - 7: (5 rounds) sc in each st
Round 8: (sc4, sc2tog) 3 times (15sc)
Round 9: (sc3, sc2tog) 3 times (12sc)
Round 10: (sc2, sc2tog) 3 times (9sc)
Round 11: (sc, sc2tog) 3 times (6sc)
Stuff firmly
Round 12: (sc, sc2tog) twice (4sc)
Sew these lobes onto the middle of the larger section, as shown below:
Round 25: sc2tog 6 times (6sc)
Fasten off
For the lobes (make 2):
Make a magic loop with 6sc
Round 1: make 2sc in each st (12sc)
Rounds 3 - 7: (5 rounds) sc in each st
Round 8: (sc4, sc2tog) 3 times (15sc)
Round 9: (sc3, sc2tog) 3 times (12sc)
Round 10: (sc2, sc2tog) 3 times (9sc)
Round 11: (sc, sc2tog) 3 times (6sc)
Stuff firmly
Round 12: (sc, sc2tog) twice (4sc)
Sew these lobes onto the middle of the larger section, as shown below:

For the second type of orbital:
For the ring:
ch16
Round 1: sc in the first chain st you made, then sc in every following chain st to make a loop (16sc)
Round 2: (sc3, make 2sc in the next st) 4 times (20sc)
Round 3: (sc2, make 2sc in the next st, sc3, make 2sc in the following st, sc2, make 2sc in the next st) twice (26sc)
Round 4: (sc3, make 2sc in the next st, sc4, make 2sc in the following st, sc3, make 2sc in the next st) twice (32sc)
Round 5: (sc3, sc2tog, sc4, sc2tog, sc3, sc2tog) twice (26sc)
Round 6: (sc2, sc2tog, sc3, sc2tog, sc2, sc2tog) twice
Round 7: (sc3, sc2tog) 4 times (20sc)
Fasten off
Sew the cast on and cast off edges together
For the main section:
Make a magic loop with 6sc
Round 1: make 2sc in each st (12sc)
Rounds 3 - 7: (5 rounds) sc in each st
Round 8: (sc4, sc2tog) 3 times (15sc)
Round 9: (sc3, sc2tog) 3 times (12sc)
Round 10: (sc2, sc2tog) 3 times (9sc)
Round 11: (sc, sc2tog) 3 times (6sc)
Stuff firmly
Round 12: (sc, sc2tog) twice (4sc)
Round 13: sc in each st
Round 14: (sc, make 2sc in the next st) twice (6sc)
Slip the ring onto this main section, as shown below

Round 15: (sc, make 2sc in the next st) 3 times (9sc)
Round 16: (sc2, make 2sc in the next st) 3 times (12sc)
Round 17: (sc3, make 2sc in the next st) 3 times (15sc)
Slide the ring onto this section, as shown below
Round 18: (sc4, make 2sc in the next st) 3 times (18sc)
Rounds 19 - 23: (5 rounds) sc in each st
Round 24: (sc, sc2tog) 6 times (12sc)
Round 25: sc2tog 6 times (6sc)
Fasten off

The f orbitals

For the first type of orbital (make 2):
For the main section (make 2):
With green make a magic loop with 6sc
Round 1: make 2sc in each st (12sc)
Rounds 3 - 6: (4 rounds)
Round 7: (sc3, sc2tog) 3 times (12sc)
Round 8: (sc2, sc2tog) 3 times (9sc)
Round 9: (sc, sc2tog) 3 times (6sc)
Stuff firmly
Round 10: (sc, sc2tog) twice (4sc)
Round 11: sc in each st
Round 12: (sc, make 2sc in the next st) twice (6sc)
Round 13: (sc, make 2sc in the next st) 3 times (9sc)
Round 14: (sc2, make 2sc in the next st) 3 times (12sc)
Round 15: (sc3, make 2sc in the next st) 3 times (15sc)
Rounds 16 - 19: (4 rounds) sc in each st
Round 20: (sc3, sc2tog) 3 times (12sc)
Round 21: sc2tog 6 times (6sc)
Fasten off
For the lobes (make 4):
Make a magic loop with 6sc
Round 1: make 2sc in each st (12sc)
Rounds 3 - 6: (4 rounds)
Round 7: (sc3, sc2tog) 3 times (12sc)
Round 8: (sc2, sc2tog) 3 times (9sc)
Round 9: (sc, sc2tog) 3 times (6sc)
Stuff firmly
Round 10: (sc, sc2tog) twice (4sc)
Sew 2 of these lobes onto the sides of the main section, as shown below

Sew the centres of these sections together, as shown below


For the 2nd type of orbital (make 4):
For the main section:
Make a magic loop with 6sc
Round 1: make 2sc in each st (12sc)
Rounds 3 - 6: (4 rounds)
Round 7: (sc3, sc2tog) 3 times (12sc)
Round 8: (sc2, sc2tog) 3 times (9sc)
Round 9: (sc, sc2tog) 3 times (6sc)
Stuff firmly
Round 10: (sc, sc2tog) twice (4sc)
Round 11: sc in each st
Round 12: (sc, make 2sc in the next st) twice (6sc)
Round 13: (sc, make 2sc in the next st) 3 times (9sc)
Round 14: (sc2, make 2sc in the next st) 3 times (12sc)
Round 15: (sc3, make 2sc in the next st) 3 times (15sc)
Rounds 16 - 19: (4 rounds) sc in each st
Round 20: (sc3, sc2tog) 3 times (12sc)
Round 21: sc2tog 6 times (6sc)
Fasten off
For the lobes (make 4):
Make a magic loop with 6sc
Round 1: make 2sc in each st (12sc)
Rounds 3 - 6: (4 rounds)
Round 7: (sc3, sc2tog) 3 times (12sc)
Round 8: (sc2, sc2tog) 3 times (9sc)
Round 9: (sc, sc2tog) 3 times (6sc)
Stuff firmly
Round 10: (sc, sc2tog) twice (4sc)
Sew two of these lobes to the sides of the main section. as you did for the previous type of orbital. After this sew the two remaining lobes to the sides, next to the ones you have already sewn in place.


For the third type of orbital:
For the rings (make 2):
ch14
Round 1: sc in the first chain st you made, then sc in every following chain st to make a loop (14sc)
Round 2: (sc, make 2sc in the next st, sc2, make 2sc itn eh next st, sc, make 2sc in the next st) twice (20sc)
Round 3: sc in each st
Round 4: (sc, sc2tog, sc2, sc2tog, sc, sc2tog) twice (14sc)
Fasten off
Sew the cast on and cast off edges together
For the main section:
Make a magic loop with 6sc
Round 1: make 2sc in each st (12sc)
Rounds 3 - 6: (4 rounds)
Round 7: (sc3, sc2tog) 3 times (12sc)
Round 8: (sc2, sc2tog) 3 times (9sc)
Round 9: (sc, sc2tog) 3 times (6sc)
Stuff firmly
Round 10: (sc, sc2tog) twice (4sc)
Round 11: sc in each st
Round 12: (sc, make 2sc in the next st) twice (6sc)
Round 13: (sc, make 2sc in the next st) 3 times (9sc)
Round 14: (sc2, make 2sc in the next st) 3 times (12sc)
Round 15: (sc3, make 2sc in the next st) 3 times (15sc)
Rounds 16 - 19: (4 rounds) sc in each st
Push the two rings onto the centre of this section, like you did for the final d orbital
Round 20: (sc3, sc2tog) 3 times (12sc)
That's all from this pattern - I hope you have found it interesting and informative. If you have any questions please feel free to email them to lhodginscrochet@gmail.com. You're very welcome to sell finished products, but I do ask that you don't re-post this pattern or claim it as you own. Thank you!
References:
libretexts.org
libretexts.org














































