2.3.1 · D1Chemical Bonding

Foundations — Octet rule — Lewis structures, exceptions (incomplete octet, expanded octet, odd-electron species)

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Before you can read a single Lewis structure, you need a small toolbox of ideas. The parent note quietly assumes every one of them. Below we build each from absolute zero, in the order they depend on each other — no symbol appears before it is earned.


1. The atom, as a picture

Figure — Octet rule — Lewis structures, exceptions (incomplete octet, expanded octet, odd-electron species)

Look at the figure. The grey dot in the middle is the nucleus. The blue rings are shells. The first ring (closest to the nucleus) can hold only 2 electrons. The second ring can hold 8. Electrons fill inner rings first, then spill outward — like filling the bottom row of seats before the next row.

Why do we care about rings at all? Because chemistry is decided almost entirely by the electrons in the outermost occupied ring. The inner ones are buried and unavailable.


2. Valence electrons — the only electrons that bond

In the figure above, the electrons on the outer blue ring (drawn orange) are the valence electrons. The buried inner electrons (grey) never take part.

Why single these out? When two atoms meet, only their outer surfaces touch. Inner electrons are shielded by distance and by the outer ones. So bonding = a story about valence electrons only. This is why the parent note counts "group-valence electrons" and nothing else.


3. The Periodic Group number → how many valence electrons

Element Group Valence e⁻
H 1 1
Be 2 2
B 13 3
C 14 4
N 15 5
O 16 6
F 17 7
Ne 18 8

Reading the table: for groups 13–18, subtract 10 from the group number to get valence electrons (14 → 4, 16 → 6, 17 → 7). This is exactly why the parent writes "C is group 14 → 4 valence; each O is group 16 → 6."

See Periodic trends for why the table is shaped this way.


4. Noble gases and the "magic 8"

Figure — Octet rule — Lewis structures, exceptions (incomplete octet, expanded octet, odd-electron species)

The figure shows why "8" is special. The valence shell is built from orbitals: one orbital (holds 2 electrons) plus three orbitals (hold 6 electrons). Fill them all:

Why the superscripts? means "the orbital contains 2 electrons"; means "the three orbitals contain 6 electrons total." The little raised number counts electrons in that type of room. This is the notation behind the parent's phrase "."

Why 2 for hydrogen and helium? They only have the first shell, which has just the tiny room — one room, 2 seats. So their "full" is 2, called a duet, not 8.


5. The dot — one valence electron

Figure — Octet rule — Lewis structures, exceptions (incomplete octet, expanded octet, odd-electron species)

Look at the figure. Around each symbol are up to 8 positions (top, bottom, left, right — two seats each). We place dots one per side first, then pair them up. Oxygen (6 valence) ends up with 2 lone pairs and 2 single dots; nitrogen (5) with 1 lone pair and 3 single dots.

Why this matters for counting later: the formal-charge formula treats lone-pair electrons and bonding electrons differently, so you must be able to tell them apart on sight.


6. Bonds — sharing to reach 8

Figure — Octet rule — Lewis structures, exceptions (incomplete octet, expanded octet, odd-electron species)

The figure shows two hydrogen atoms. Each has 1 electron and wants 2. Alone, each is short. Sharing their two electrons in the middle, both now count 2 — both reach the duet. That shared pair is a single bond, drawn as one line: .

  • Single bond = 1 shared pair = 2 e⁻ = one line.
  • Double bond = 2 shared pairs = 4 e⁻ = two lines ().
  • Triple bond = 3 shared pairs = 6 e⁻ = three lines ().

Why the parent divides shared electrons by 2: each bond is a pair, so .


7. Charge, and the correction

This is exactly the "charge correction" in the parent's Step A. Example: has a charge, so we add 2 electrons to the count. Get this backwards and every later step (bonds, formal charge) goes wrong.


8. Electronegativity — who holds electrons tighter

Why we need it now: two rules in the parent depend on it —

  1. The least electronegative atom goes in the centre (it shares outward most willingly).
  2. Any negative formal charge should sit on the most electronegative atom (it "likes" extra electrons).

This is why putting a on fluorine in BF₃ is called "absurd." Full detail in Electronegativity.


9. Formal charge — the bookkeeping symbols , ,

The parent uses without slowing down. Here is every letter.

Why halve ? A bonding pair is shared, so each atom is credited only half of it — that is the . Lone pairs belong entirely to the atom, so they are subtracted in full.

Worked micro-example (single-bonded O in ): , it has 3 lone pairs so , one single bond so . That negative charge sits on oxygen (very electronegative) — perfectly reasonable.


10. Odd vs even — pairing electrons

NO has electrons — odd — so one electron is always unpaired. You literally cannot pair everything, so a perfect octet everywhere is impossible. Recognising odd totals is a prerequisite for the odd-electron exception.


Prerequisite map

Atom nucleus plus shells

Shells hold 2 then 8

Valence electrons outer shell

Group number gives valence count

Noble gas full shell

s2 p6 equals 8 electrons

Lewis dot equals one electron

Bond equals shared pair

Charge adds or removes electrons

Electronegativity pulls electrons

Formal charge V minus L minus half B

Odd total means unpaired electron

Octet rule and Lewis structures

Parent 2.3.1 Octet rule


Equipment checklist

Cover the right side; can you answer each before revealing?

What is a valence electron?
An electron in the atom's outermost occupied shell — the only kind that takes part in bonding.
How do you get valence-electron count from the periodic table?
From the group number (groups 13–18: subtract 10, e.g. group 16 → 6 valence electrons).
Why is 8 the "magic" number?
A full valence shell is electrons, matching a noble gas — the lowest-energy, most stable arrangement.
What is the duet exception and who follows it?
H and He aim for 2 electrons, because their only shell (the first) holds just 2.
What does one Lewis dot represent?
Exactly one valence electron.
What is the difference between a lone pair and a bonding pair?
A lone pair sits on one atom alone; a bonding pair is shared between two atoms and drawn as a line.
How many electrons is one single bond?
2 electrons (one shared pair); a double bond is 4, a triple bond is 6.
How do you adjust the electron count for a charge of ?
Add electrons (negative charge = extra electrons).
In , what are , , ?
= valence electrons the atom brings; = its lone-pair electrons; = bonding electrons touching it (2 per attached line).
Why is the bonding term halved in formal charge?
Because a bond is shared, so each atom is credited only half of that pair.
Where should a negative formal charge sit, and why?
On the most electronegative atom, because it holds extra electrons most comfortably.
What makes a species a radical?
An odd total number of valence electrons, leaving one electron unpaired.