2.3.16Chemical Bonding

Hydrogen bonding — intermolecular, intramolecular; consequences (boiling points, water density)

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WHAT is a hydrogen bond?

WHY only F, O, N?

Two conditions must both be met:

  1. High electronegativity — the atom must pull electron density strongly off H, leaving H as a nearly bare, sharply positive proton (δ+\delta^+).
  2. Small size — a small atom lets the acceptor's lone pair approach closely, and concentrates the negative charge.

Cl is as electronegative as N, but it is large and diffuse, so its charge is spread out → weak/negligible H-bonding. Hence the "FON" rule.


HOW it works (first-principles reasoning)

The energy is dominated by electrostatics but also has a small covalent/charge-transfer character (lone pair donates slightly into the X–H antibonding orbital).


Two flavours

Figure — Hydrogen bonding — intermolecular, intramolecular; consequences (boiling points, water density)

CONSEQUENCE 1 — Anomalous boiling points

Same anomaly for NH₃ (group 15) and HF (group 17): each is the lightest hydride but has the highest boiling point in its group because of H-bonding.

Why HF < H₂O even though F is more electronegative? Count H-bonds per molecule. Water has 2 O–H bonds + 2 lone pairs → can form ~4 H-bonds (a 3-D network). HF has 1 H + 3 lone pairs but only one H to donate → forms only chains, ~2 H-bonds per molecule. More H-bonds per molecule ⇒ higher b.p. So water wins.

b.p. order: H2O>HF>NH3\text{b.p. order: } \mathrm{H_2O} > \mathrm{HF} > \mathrm{NH_3}


CONSEQUENCE 2 — Ice is less dense than water (why water bodies freeze top-down)

Water's density is maximum at 4 °C: below 4 °C the open ice-like clusters start forming (volume up, density down); above 4 °C normal thermal expansion dominates (volume up, density down). The peak at 4 °C is the tug-of-war between these.

Why it matters (biology): fish survive winter because the 4 °C densest water sinks to the bottom while ice insulates the surface — lakes freeze top-down, not bottom-up.


Other consequences (quick hits)

  • High solubility of NH₃, alcohols, sugars, glucose in water — they H-bond to water. Hydrocarbons don't → immiscible.
  • DNA double helix held by H-bonds between base pairs (A–T two bonds, G–C three).
  • Higher viscosity & surface tension of water (network resists flow, resists surface expansion).
  • Dimerisation of carboxylic acids (e.g. acetic acid) in vapour/non-polar solvents via two H-bonds → apparent doubled molar mass.


Recall Feynman: explain to a 12-year-old

Hydrogen is a tiny person who only has one toy (its electron). When it holds hands with a super-greedy atom (F, O, or N), that atom grabs the toy, and now hydrogen's belly (the proton) is bare and positive. Another greedy atom nearby, holding a spare pair of electrons, is attracted to that bare belly — they stick together. That sticking is a hydrogen bond. In ice, every water molecule holds hands with 4 friends in a neat open ring pattern, so they stand apart and take up more room — that's why ice floats. And when the sticky-handed molecules glom onto each other instead of onto itself, you need lots of heat to pull them apart, so water boils at a surprisingly high temperature.


Flashcards

Which three atoms permit strong hydrogen bonding?
F, O, N (highly electronegative and small)
Why doesn't Cl form strong H-bonds despite high electronegativity?
It is large and diffuse, so its lone pair/charge is spread out and can't approach the proton closely.
Define intramolecular hydrogen bond.
An H-bond formed within the same molecule (often a 5- or 6-membered ring), e.g. o-nitrophenol.
Why does o-nitrophenol have a LOWER boiling point than p-nitrophenol?
Ortho forms an intramolecular H-bond (self-satisfied → less intermolecular attraction); para forms intermolecular H-bonds.
Why is water's boiling point (100 °C) so much higher than expected from its molar mass?
Extensive intermolecular hydrogen bonding must be broken to boil it.
Order the boiling points: HF, H₂O, NH₃.
H₂O > HF > NH₃.
Why is H₂O's b.p. higher than HF's even though F is more electronegative?
Water can form ~4 H-bonds per molecule (2 H + 2 lone pairs) vs HF's ~2; more H-bonds ⇒ higher b.p.
Why is ice less dense than liquid water?
In ice each molecule locks into 4 H-bonds forming an open hexagonal lattice with holes → larger volume → lower density.
At what temperature is water most dense?
4 °C.
Approximate density of ice vs water?
Ice ≈ 0.917 g/cm³ < water = 1.000 g/cm³.
Typical energy range of a hydrogen bond?
About 5–40 kJ/mol (stronger than van der Waals, weaker than covalent).
Why does acetic acid appear to have double its molar mass in vapour?
It dimerises via two intermolecular H-bonds.
Two conditions an atom must satisfy to H-bond well?
High electronegativity AND small atomic size.
Biological importance of ice floating?
Insulating ice on top + 4 °C water at bottom lets aquatic life survive winter (top-down freezing).

Connections

  • Dipole-dipole interactions — H-bond is a special, strong case
  • Van der Waals forces — the baseline it exceeds
  • Electronegativity — sets the polarity of X–H
  • Boiling point trends of hydrides — where the anomaly appears
  • Water — anomalous properties — density, surface tension, high specific heat
  • DNA structure — base-pair H-bonding
  • Solubility and 'like dissolves like'

Concept Map

creates delta+ H

allows close approach

attracts

forms

forms

between molecules

within molecule

raises

lowers

links

open network

Hydrogen bond X-H...Y

High electronegativity F O N

Small atom size

Exposed bare proton

Acceptor lone pair

Intermolecular H-bond

Intramolecular H-bond

Higher boiling point

o-nitrophenol

p-nitrophenol

Water density anomaly

Hinglish (regional understanding)

Intuition Hinglish mein samjho

Dekho, hydrogen bond koi normal bond nahi hai — ye ek special strong attraction hai jo tab banti hai jab hydrogen ek bahut electronegative aur chhote atom (sirf F, O, N — yaad rakho "FON") se juda hota hai. Wo greedy atom hydrogen ka electron kheench leta hai, aur hydrogen ka proton "nanga" ho jaata hai — ekdum positive. Paas wale atom ka lone pair us positive proton ko attract karta hai. Cl electronegative to hai par bada hai, isliye uska H-bond weak hota hai — isiliye rule sirf FON ka hai.

Do types hain: intermolecular (do alag molecules ke beech — ye boiling point badhata hai) aur intramolecular (ek hi molecule ke andar ring ban jaati hai — ye boiling point ghatata hai kyunki molecule khud hi satisfy ho jaata hai). Classic example: ortho-nitrophenol intramolecular banata hai (low b.p., volatile), jabki para-nitrophenol intermolecular banata hai (high b.p.). Ye trap exam mein bahut aata hai — mat bhoolna ki intra = low b.p.

Consequences do bade hain. Pehla: water ka boiling point 100°C — jabki apne molar mass ke hisaab se to –80°C hona chahiye tha! Kyunki H-bond network todne mein bahut energy lagti hai. Aur water HF se bhi zyada boil karta hai kyunki water ke paas 4 haath hote hain (2 H + 2 lone pair), HF ke paas sirf 2. Dusra: ice paani se halka hota hai — freeze hone par har water molecule 4 H-bonds ke saath ek open hexagonal lattice banata hai jismein hole hote hain, isliye volume badh jaata hai aur density ghat jaati hai (0.917 vs 1.000 g/cm³), isliye barf tairti hai. Water 4°C par sabse dense hota hai. Isi wajah se lakes upar se jamte hain aur machhliyaan neeche zinda rehti hain — biology ka connection bhi yahin se aata hai.

Go deeper — visual, from zero

Test yourself — Chemical Bonding

Connections