This page assumes you know nothing. We will pick up every symbol, letter, and squiggle the parent note throws at you, give it a plain-words meaning, draw the picture it stands for, and say why the topic needs it. Read top to bottom — each item uses only things defined above it.
Chemistry writes each kind of atom as one or two letters.
The picture: think of each letter as a ball with a fixed number of hands (bonds) it must clasp: H has 1 hand, O has 2, N has 3, C has 4. Besides its clasping hands, an atom may hold lone pairs — hands that are curled up, not clasping anyone, held ready to reach out. N holds 1 curled-up pair; O holds 2.
Why the topic needs it: every group name we meet in Section 4 is just a few of these balls with a known number of hands and lone pairs. Once you can count hands (and spot the spare lone pairs), the formulas stop being scary.
The picture: a single bond is like one hand-clasp between two people — they can swing around each other. A double bond is two clasps side by side — now they are locked face-to-face and can't twist. Remember this: it is the whole reason the peptide bond is flat (Section 9).
Why the topic needs it: the parent note says the peptide C−N bond has "partial double-bond character." That sentence only means something once you know a double line = no rotation.
Before we count any group, we must define the little dash that starts them.
The picture: imagine the group is a keychain fob and the dash is the split-ring hole — the one spot where it hooks onto the keyring (the rest of the molecule). Where the dash sits tells you which atom does the hooking.
Why the topic needs it: every functional group in Section 4 and every chain-end in Section 10 is written with this leading dash. If you mistook it for a minus sign you would misread the whole topic.
A small number written below and after a symbol is a subscript. A small sign written above and after a symbol is a superscript charge.
The picture:NH2 is a nitrogen ball holding two hydrogen hands (and keeping one hand + one lone pair free). H+ is a lone hydrogen that dropped its electron — a tiny "+" bead looking for a negative partner.
A functional group is a small cluster of atoms that behaves the same way wherever it appears. These are the "action parts" of a molecule. Now that atoms (Section 1), bond lines (Section 2), the leading dash (Section 3) and subscripts (Section 4) are all defined, we can finally spell these groups out.
Why the topic needs it: the peptide bond is literally −COOH of one molecule reacting with −NH2 of the next. If you can't see these two groups, the reaction is invisible to you.
The picture: imagine a crossroads. Standing at the centre (Cα) you look in four directions: north = −NH2, south = −COOH, east = H, west = R. Every amino acid is this same crossroads with a different west.
Why the topic needs it: the parent note says the flat peptide unit "can only tilt at the Cα." That means: the hinges of the whole protein chain are these alpha carbons. Everything rigid is between them; all the bending happens at them. See Amino acids — structure, classification, zwitterion for how the four attachments give acids their acid–base behaviour and their handedness.
Why the topic needs α and β: the parent note names its two secondary-structure shapes the α-helix and the β-pleated sheet. Without these letters you cannot even say the names of the two ways a protein backbone folds — so they are unavoidable vocabulary for the whole of the parent's Section 3.
Why the topic needs σ and π: the "partial double-bond character" that makes the peptide bond flat is exactly a shared π cloud sliding between atoms. You need the word π to say what slides, and σ to say what stays put.
Why the topic needs it: the parent's mechanism ("lone pair on N attacks the carbonyl carbon") is exactly a curly arrow from N's lone pair to the C=O carbon. And "resonance gives partial double-bond character" uses the ⟷ arrow.
Now every symbol is earned, we can read the star of the parent note.
Why it is flat (using Sections 2, 7, 8): the nitrogen's lone pair slides into the neighbouring π cloud (resonance, the ⟷ arrow). Now the C−N line is part single, part double. From Section 2, any double-bond character forbids rotation. A bond that cannot twist forces the atoms around it into one flat plane — that is what planar means: all lying on a single sheet, like coins on a table. See Amides — resonance & planarity for the same idea in plain amides.
Why the topic needs the word "planar": flat, un-rotatable units can only stack in a few tidy ways — coils (α-helix) or zig-zag mats (β-sheet). That is the bridge from this foundation to the parent's whole Section 3.
A finished chain has two loose ends, and we must agree which end to read from first.
Why the topic needs it: the parent's primary structure is "the sequence read from N-terminus to C-terminus." Without fixing a start end, the "spelling" of a protein would be ambiguous. And knowing the ends carry real charges (−NH3+, −COO−) explains ionic salt-bridges in higher structure.