What figure s01 shows: three groups drawn on the chalkboard — a single yellow ball labelled "O (1 atom)", a blue pair labelled "O₂", and a pink bent trio labelled "O₃". Look at the leftmost yellow ball: that lone ball is exactly what the bare letter O means. Notice the trio on the right is drawn kinked, not straight — that kink is the whole point of Section 8.
Why the topic needs it: the whole chapter is about clipping these O balls together in different counts and arrangements. If O didn't mean "one atom", none of the formulas below would count anything.
In figure s01: compare the middle blue pair (labelled O₂, two balls) with the right pink trio (labelled O₃, three balls). The subscript is simply how many balls you counted in that group — 2 versus 3.
Why the topic needs it: allotropy (the topic's opening word) literally means the same element wearing different atom-counts/arrangements. The subscript is the notation that tells O2 apart from O3.
The picture:3O2 is three dumbbells lying side by side — six balls in total, but grouped into three pairs.
Why the topic needs it: the preparation reaction is
3O2⟶2O3.
Count the balls: left side =3×2=6 atoms; right side =2×3=6 atoms. Equal — this is what "balanced" means. Atoms are never created or destroyed, so both sides must show the same number of each ball.
Words written above the arrow are the condition — the push that makes it happen. In the parent note:
3O2silent electric discharge2O3
"silent electric discharge" above the arrow = a gentle sparkless high-voltage that supplies the energy.
Why the topic needs it: the ozone layer is not a fixed wall — it is a busy revolving door where formation and breakdown balance. The equilibrium idea is what makes "the layer stays there" true.
What figure s02 shows: three sketches. On the left, two balls joined by one chalk line — that single line is a single bond (one shared pair). In the middle, two balls joined by two parallel lines — a double bond (two shared pairs). On the right, one ball with two yellow dots sitting alone on top — that pair of dots is a lone pair, kept to itself and shared with nobody.
Why the topic needs it: the whole shape-and-reactivity story rests on counting bonds and lone pairs. In ozone the central oxygen has 2 bonds + 1 lone pair — that count is exactly what bends the molecule (Section 8).
The parent note computes bond order two ways. From Molecular Orbital Theory it uses
Bond order=2Nb−Na,
where Nb = electrons in bonding orbitals (glue) and Na = electrons in antibonding orbitals (anti-glue). We meet these orbital names next.
This is the scariest-looking notation in the parent note. We disarm it symbol by symbol — but first we must say what an orbital even is, because the label σ2pz is meaningless until we do.
σ ("sigma") = a room shaped like a sausage straight along the axis joining the two atoms (built by dumbbells pointing head-on at each other, i.e. the pz ones).
π ("pi") = a room shaped like two clouds above and below that axis (built by the sideways dumbbells, px and py).
The subscript (e.g. 2pz) just records which atomic orbitals were merged to build the room — now you can read it: "2 = second shell, p = dumbbell, z = pointing along the bond".
The star∗ = the antibonding version of that room (anti-glue).
The superscript number (e.g. π∗2) counts how many electrons currently sit in that room.
The picture:σ is a single fat tube linking the two balls; π is a pair of clouds hugging that tube top and bottom. A star turns the room into a "wall" that shoves the balls apart.
Recall Read this string aloud
σ2pz2π2px2π2py2π2px∗1π2py∗1
"Two electrons in the sigma room, four in the two pi rooms, and one each — unpaired — in the two starred (antibonding) pi rooms." Those two lonely electrons = paramagnetism.
What figure s03 shows: the central pink oxygen at the top with its two bonds going down to two blue oxygens, forming a wide V. The two yellow dots above the central atom are the pushy lone pair; the pink arc between the bonds is labelled ≈117°. Watch how the lone-pair dots sit on the outside of the V and press the two bonds downward — that pressing is the "120° → 117°" squeeze.
Why the topic needs all three: the reactivity of ozone (bleach, germicide, oxidiser) and the CFC ozone-destruction chain are entirely told in this dot/bracket/charge language.
Why the topic needs it: ozone formation is written 3O2→2O3,ΔH=+142kJ mol−1. Read that sign out loud: the + means 142 kilojoules are absorbed for every mole of ozone made, so that energy is now locked inside the ozone molecule. A molecule holding extra stored energy is like a stretched spring — it is thermodynamically unstable and desperate to release that energy by falling apart into O2+[O]. That single fact is the root of everything reactive about ozone: it bleaches, it kills germs, it oxidises metals and iodide — all because the positive ΔH makes breaking apart energetically downhill.