3.2.6p-Block

Phosphorus allotropes (white, red, black); P₄O₆, P₄O₁₀; oxoacids of P (H₃PO₃ vs H₃PO₄ basicity)

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1. Allotropes of Phosphorus

WHY do allotropes differ so much? Because the bonding differs. White P is built from strained, isolated molecules (high energy, reactive); red and black P are giant covalent networks (low energy, stable).

Property White P Red P Black P
Unit discrete P4P_4 tetrahedra chains of P4P_4 units (polymer) layered sheets (like graphite)
Bond angle 60°60° (strained!) normal normal
Stability least (most reactive) intermediate most stable
Glow in dark yes (phosphorescence) no no
Toxic very non-toxic non-toxic
Ignition air at ~35°C35°C needs ~260°C260°C very stable
Storage under water open

2. The Oxides: P₄O₆ and P₄O₁₀

HOW do we build them? Start from the P4P_4 tetrahedron (6 edges, 4 corners). Insert oxygen.

P4  +6O (bridges)  P4O6  +4O (terminal)  P4O10P_4 \xrightarrow{\;+6\,O \text{ (bridges)}\;} P_4O_6 \xrightarrow{\;+4\,O \text{ (terminal)}\;} P_4O_{10}

P4O6P_4O_6 P4O10P_4O_{10}
O atoms 6 bridging 6 bridging + 4 terminal
Oxidation state of P +3+3 +5+5
Each P bonds to 3 O 3 bridging O + 1 terminal O
Acid on hydrolysis H3PO3H_3PO_3 (phosphorous) H3PO4H_3PO_4 (phosphoric)

3. Oxoacids of P — the basicity rule

Compare the structures

H3PO4H_3PO_4 (phosphoric acid), P = +5+5: P is bonded to: one =O=O, three OH-OH. → 3 OH groups → basicity = 3 (tribasic).

H3PO3H_3PO_3 (phosphorous acid), P = +3+3: P is bonded to: one =O=O, one P–H, two OH-OH. → only 2 OH groups → basicity = 2 (dibasic).

Acid Formula Ox. state P P–H bonds Basicity
Hypophosphorous H3PO2H_3PO_2 +1+1 2 1
Phosphorous H3PO3H_3PO_3 +3+3 1 2
Phosphoric H3PO4H_3PO_4 +5+5 0 3

4. Common Mistakes (Steel-man + Fix)


Recall Feynman: explain to a 12-year-old

Imagine LEGO men (P atoms) who each have 3 hands. In white phosphorus, four men hold hands in a tiny triangle-pyramid, but their arms are bent uncomfortably — so they're itching to let go (super reactive, catches fire). In red/black phosphorus the men form long comfortable chains/sheets — chill and stable. When oxygen comes, an O atom slides between two holding hands (a bridge); if there's lots of oxygen, each man also grabs an extra O in his free hand → that's the difference between P4O6P_4O_6 and P4O10P_4O_{10}. For the acids: only a hand holding an O–H can "drop" a hydrogen (H+H^+). A hand holding H directly (P–H) refuses to let go. So count the O–H hands — that's how many H+H^+ the acid gives.


Connections


Why is white P far more reactive than red P?
White P is made of discrete P4P_4 tetrahedra with strained 60°60° bond angles (stored angular strain); red P is a relaxed polymer with normal angles.
How is white P stored and why?
Under water, because it ignites in air at ~35°C35°C.
How is red P prepared from white P?
Heat white P to ~573K573\,K in an inert atmosphere (no air).
Which P allotrope is most stable?
Black phosphorus (layered, graphite-like sheets).
How many bridging and terminal O atoms in P4O10P_4O_{10}?
6 bridging (P–O–P) + 4 terminal (P=O).
Oxidation state of P in P4O6P_4O_6 and P4O10P_4O_{10}?
+3+3 and +5+5 respectively.
Equation for limited vs excess oxygen combustion of P4P_4?
P4+3O2P4O6P_4+3O_2\to P_4O_6; P4+5O2P4O10P_4+5O_2\to P_4O_{10}.
Products of hydrolysis of P4O6P_4O_6 and P4O10P_4O_{10}?
4H3PO34H_3PO_3 and 4H3PO44H_3PO_4.
Why is P4O10P_4O_{10} used as a drying agent?
It is strongly dehydrating; greedily absorbs/removes water (even from HNO3HNO_3N2O5N_2O_5).
Define basicity of an acid.
Number of ionisable (replaceable) H atoms = number of P–OH groups.
Basicity of H3PO4H_3PO_4, H3PO3H_3PO_3, H3PO2H_3PO_2?
3, 2, 1.
Why is H3PO3H_3PO_3 dibasic despite having 3 H?
It has one P–H bond (non-ionisable); only 2 P–OH hydrogens are acidic.
Which oxoacid is the strongest reducing agent and why?
H3PO2H_3PO_2 — it has two P–H bonds; P–H bonds give reducing power.
Is H3PO4H_3PO_4 a reducing agent?
No — it has no P–H bond.
Formula linking basicity to structure?
basicity = (total H) − (number of P–H bonds).

Concept Map

bonds form

discrete molecules

heat 573K inert

most reactive due to

+6 bridging O

+4 terminal O

hydrolysis

hydrolysis

governs basicity

governs basicity

stability least to most

P atom group 15 wants 3 bonds

P4 tetrahedron

White P discrete P4 60deg strained

Red P polymer chains

Black P layered sheets

P4O6 P +3

P4O10 P +5

H3PO3 phosphorous

H3PO4 phosphoric

Only P-OH is acidic P-H not

Hinglish (regional understanding)

Intuition Hinglish mein samjho

Dekho, Phosphorus ka pura chapter ek hi soch pe tika hai: P atoms kaise jude hain. White phosphorus mein chaar P milke ek chhota tetrahedron (P4P_4) banate hain, jisme bond angle sirf 60°60° ka hota hai — yeh bahut strained hai, jaise ek dabaya hua spring. Isliye white P bahut reactive hai, air mein ~35°C35°C pe hi aag pakad leta hai, aur isko paani ke andar store karte hain. Jab isko air ke bina garam karo toh yeh khulke chains banata hai = red P (stable, non-toxic). Black P sabse zyada stable, sheets wala (graphite jaisa).

Oxides yaad rakhne ka trick simple hai. P4P_4 ke 6 edges hote hain — har edge mein ek oxygen ghusa do (bridging O) → ban gaya P4O6P_4O_6 (P ka oxidation state +3+3). Ab har corner pe ek extra O bhi laga do (terminal P=OP=O) → 6+4=106+4=10P4O10P_4O_{10} (P =+5= +5). P4O10P_4O_{10} itna pyaasa hota hai ki paani kheench leta hai, isliye drying agent banta hai. Pani daalo toh hydrolysis se respectively H3PO3H_3PO_3 aur H3PO4H_3PO_4 milte hain.

Ab sabse important exam wala point — basicity. Rule yaad rakho: sirf P–O–H wala hydrogen acidic hota hai (woh H+H^+ chhodta hai). P–H wala hydrogen acidic nahi hota, kyunki P aur H ki electronegativity almost same hai, bond non-polar. Isliye H3PO4H_3PO_4 mein 3 OH → basicity 3; lekin H3PO3H_3PO_3 mein 1 hydrogen P pe directly lagaa hai (P–H), toh sirf 2 OH bache → basicity 2, na ki 3! Yahi P–H bond reducing power bhi deta hai — isliye H3PO2H_3PO_2 (2 P–H) sabse strong reducing agent, aur H3PO4H_3PO_4 (0 P–H) reducing agent hai hi nahi. Structure draw karo, formula pe mat jao — bas isi se sare confusion khatam.

Go deeper — visual, from zero

Test yourself — p-Block

Connections