3.2.1 · D1p-Block

Foundations — Group 13 (Boron family) — anomaly of B, diagonal B-Si; BX₃ Lewis acidity; diborane B₂H₆ (3c-2e bond), borazine

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Before you can read the parent note, you must own every symbol it throws at you. Below, each idea is built from nothing: plain words → the picture → why the topic needs it. Read top to bottom; each rung stands on the one below.


0. What is an "atom" here, in pictures?

Figure — Group 13 (Boron family) — anomaly of B, diagonal B-Si; BX₃ Lewis acidity; diborane B₂H₆ (3c-2e bond), borazine
Figure s01 — A boron atom in cross-section: a black nucleus at the centre, a full inner shell of 2 black electrons, and an outer shell holding exactly 3 red valence electrons. The red count "3" is the seed of the whole chapter.

Look at the red electrons in the outer ring of the figure — those are the valence electrons. Boron has exactly 3 of them, drawn in red. That number "3" is the seed of the entire chapter.


1. The notation — where boron keeps its electrons

The label (which the parent uses constantly) reads: "the dumbbell pocket pointing along , in the 2nd shell."

Figure — Group 13 (Boron family) — anomaly of B, diagonal B-Si; BX₃ Lewis acidity; diborane B₂H₆ (3c-2e bond), borazine
Figure s02 — Boron's ground-state valence orbitals as an energy diagram: the round holds a pair of black electrons; the three dumbbells sit one energy level up, with one red electron in and , empty (by Hund and Aufbau). Five electrons total: .

Recall What is boron's ground-state configuration?

Five electrons filled by Aufbau then Hund. ::: — one lone electron in one , the other two empty.


1a. Hybridisation () — mixing pockets into equal arms

Figure — Group 13 (Boron family) — anomaly of B, diagonal B-Si; BX₃ Lewis acidity; diborane B₂H₆ (3c-2e bond), borazine
Figure s05 — Left: the pure atomic set ( + + mixed, untouched). Right: three black hybrid arms at in a plane (each ready to bond, e.g. to F in ), with the pure drawn as a red dumbbell sticking straight up, empty.

Recall After

hybridisation, which orbital is empty? Three arms bond; one orbital is untouched. ::: The pure , perpendicular to the plane, is empty.


1b. "No d-orbitals" and "maximum covalency 4"

Why the topic needs it: this single limitation ("shell 2 has no ") is what makes boron differ from Al and underlies its whole anomaly in the parent note.


2. Covalent bond, lone pair, and the electron count

This is why the parent writes — those two dots are nitrogen's lone pair, ready to donate. See Lewis Acids and Bases for the full donor/acceptor language.


3. Ionisation enthalpy — the "cost to steal an electron"

The parent's number kJ/mol just says: "stripping 3 electrons off boron costs a fortune." That is why no free exists — see Ionisation Enthalpy Trends.


4. Atomic size, electronegativity, and "polarising power"

Figure — Group 13 (Boron family) — anomaly of B, diagonal B-Si; BX₃ Lewis acidity; diborane B₂H₆ (3c-2e bond), borazine
Figure s03 — A 2×3 slice of the periodic table (B, C, N on top; Al, Si, P below). A red arrow runs diagonally from B down to Si. Black arrows show the two competing trends: electronegativity rises to the right and falls going down — they cancel along the red diagonal.


5. What is a bond? (needed before back-bonding)


6. Back-bonding () — filling the empty pocket sideways

Figure — Group 13 (Boron family) — anomaly of B, diagonal B-Si; BX₃ Lewis acidity; diborane B₂H₆ (3c-2e bond), borazine
Figure s04 — Boron (left) shows its empty as a red outline dumbbell; a halogen X (right) shows a filled black lone-pair dumbbell. A curved red arrow carries the halogen's lone pair sideways into boron's empty pocket — this is back-bonding.

The red arrow shows a halogen's lone pair donating back into boron. Why the topic needs this: it is the only reason the acidity order runs "backwards." Good sideways overlap needs matching orbital sizes — F's small matches B's small , so back-bonding is strong and B feels satisfied. Full treatment in Back-bonding (pπ–pπ) and Boron Trihalides.


7. Lewis acid / Lewis base — the "hand-grabber" language

Why the topic needs it: it names boron's defining behaviour. Everything in §3 of the parent is just "empty pocket meets lone pair." Details in Lewis Acids and Bases.


8. The 3-centre 2-electron (3c–2e) bond — the banana bond

Figure — Group 13 (Boron family) — anomaly of B, diagonal B-Si; BX₃ Lewis acidity; diborane B₂H₆ (3c-2e bond), borazine
Figure s06 — Two borons with an empty hybrid arm each pointing inward, and a bridging hydrogen's round orbital between and slightly below them. The three orbitals merge into one red curved (banana) cloud holding one electron pair — a 3-centre 2-electron bond.


9. Aromatic system — borazine's borrowed trick

Why the topic needs it: borazine has a six-membered ring where each nitrogen's lone pair (2 electrons 3 N = 6 electrons) pours into boron's empty , hitting the same count as benzene — so it mimics aromatic benzene ("inorganic benzene"). But because N is more electronegative, the cloud is lopsided (), making it more reactive. Compare with Benzene Aromaticity.


Prerequisite map

Atom size small

High ionisation enthalpy

Shell 2 has no d-orbitals

No free B3+ ion

Cannot expand octet

Max covalency 4

Aufbau and Hund filling

Config 1s2 2s2 2p1

sp2 hybrid arms plus empty 2pz

Empty 2pz orbital

Lewis acid behaviour

Pi sideways overlap

Back-bonding pi-pi

BX3 acidity order

Electron deficiency

3c-2e bridge in B2H6

Delocalised pi ring plus 4n+2

Borazine inorganic benzene

Diagonal B to Si

Read it downward: the single fact "boron is small, and after bonding has an empty pocket" (top) fans out into every headline result (bottom row) of the parent note.


Equipment checklist

Test yourself — cover the right side.

What is boron's ground-state electron configuration?
— one electron in one , two orbitals empty.
State the Aufbau principle.
Electrons fill the lowest-energy orbital first ( then then ).
State Hund's rule.
Among equal-energy orbitals, electrons occupy them singly before pairing up.
What is hybridisation?
Mixing with two orbitals to make three equal arms at , leaving one pure empty.
After hybridisation in , which orbital stays empty?
The pure , perpendicular to the molecular plane.
What does mean in words?
The dumbbell-shaped orbital pointing along in the 2nd shell.
How many electrons fit in one orbital?
Exactly 2.
Why does boron have no -orbitals?
-orbitals first appear in shell 3; boron only reaches shell 2.
Why is boron's maximum covalency 4?
With only 4 valence pockets and no to borrow, it cannot expand its octet past 8 electrons / 4 bonds.
What does one bond line cost in electrons?
2 electrons.
What is a lone pair?
A non-shared electron pair sitting on one atom, drawn as two dots.
In , what do , , the , and the each mean?
= change in; = enthalpy (energy); = ionisation; = first electron removed.
Why no free ?
Sum of first three ionisation enthalpies is too huge to be repaid by lattice/hydration energy.
Define electronegativity and name its scale.
How strongly an atom pulls a shared electron pair; measured on the Pauling scale (B ≈ 2.04).
Which radius goes in the polarising-power formula?
The ionic radius: polarising power .
Why does the B–Si diagonal similarity arise?
Rightward and downward electronegativity trends cancel along the diagonal.
What is a bond?
Two -orbitals overlapping sideways (parallel lobes above/below the axis), unlike head-on overlap.
What is back-bonding?
A neighbour's lone pair donating sideways () into boron's empty orbital.
Define a Lewis acid.
An electron-pair acceptor (has an empty orbital).
What orbitals make up the bridge?
Two boron hybrid arms plus the bridging hydrogen's , all overlapping into one banana cloud holding one electron pair.
What is a 3c–2e bond?
One electron pair shared among three atoms (e.g. B–H–B).
Why must diborane use 3c–2e bonds?
It has only 12 valence electrons but 8 ordinary B–H bonds would need 16.
Break down diborane's 12 valence electrons.
from two borons plus from six hydrogens.
State Hückel's rule and benzene's count.
A flat ring is aromatic with electrons; benzene has 6 ().
Why does borazine mimic benzene?
Its three N lone pairs give 6 electrons () delocalised over the flat B–N ring, like benzene.