chem: add quantum numbers and orbital diagrams
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@ -397,14 +397,22 @@ Orbitals of the same type but in higher energy levels are simply larger, so any
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*f*-orbitals have more complex shapes. There are 7 in each energy level starting from $n=4$.
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The **Aufbau principle** states that orbitals are filled up in order of increasing energy, which is shown in the image below.
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The **Aufbau principle** states that orbitals are filled up in order of increasing energy (closest to farthest from nucleus), which is shown in the image below.
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<img src="/resources/images/orbital-energy.png" width=700>(Source: Kognity)</img>
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### Orbital box diagrams
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### Electron configuration
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According to **Hund's rule**, atoms fill all orbitals in the same sublevel before pairing up, similar to *Monopoly* house-building rules.
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Orbital box diagrams are one method of showing electron configuration by laying out the orbitals in increasing energy.
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<img src="/resources/images/orbital-diagram.png"></img>
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These diagrams must show that **energy increases** going up and that there are **spaces** for electrons in labelled orbital **sublevels**. Each electron is represented by an arrow.
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By convention, electrons are ordered with the first pointing up and the other pointing down in the same orbital.
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### Quantum numbers
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Quantum numbers are a set of four numbers that are used to describe the specific location of an electron, similar to a coordinate system.
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@ -413,9 +421,9 @@ The **principal** quantum number ($n$) is the **main energy level** of the elect
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The **angular momentum** quantum number ($l$) is the type of orbital the electron resides in, zero-indexed:
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- $0$ means it is in an *s*-orbital
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- $1$ means it is in a *p*-orbital
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- $2$ means it is in a *d*-orbital
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- $l=0$ means that the electron is in an *s*-orbital.
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- $l=1$ means that the electron is in a *p*-orbital.
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- $l=2$ means that the electron is in a *d*-orbital.
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## 3 - Periodicity
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