BOND LENGTH, BOND ANGLE AND BOND ENERGY

Bond Length:

The distance between the centers of two nuclei of atoms connected by a chemical bond is known as ‘bond length’.

It is very small to measure by X-ray diffraction, spectroscopic methods etc. Angstrom (Å) unit is used (1 Å = 10-8 cm.).

If RAB = inter-atomic distance of two atoms A and B, rA = covalent radius of A and rB = covalent radius of B; then


Atom
Single bond
covalent radius
Double bond
covalent radius
Triple bond
covalent radius
H
0.33
---
---
C
0.77
0.67
0.60
O
0.73
0.55
---
N
0.74
0.62
0.55
S
1.04
0.94
---
Cl
1.00
---
---
Bond Angle:

The angle between the directions of two bonds in a molecule is called the ‘bond angle’.


Bond hybridization
Geometry
Bond angle
sp
Linear
1800
sp2
Triangular
1200
sp3
Tetrahedral
109028´


Bond angle depend upon factors, (i) charge distribution, (ii) geometry of the molecules, (iii) symmetry, (iv) hybridization etc.






Species
Angle
Species
Angle
CH4
H-C-H, 109o
SO3
O-S-O, 120o
NH4+
H-N-H, 109o
NO3-
O-N-O, 120o
H2O
H-O-H, 105o
NH3
H-N-H, 107o


Bond Energy:

Bond energy is defined as the energy required to split the molecule into atoms.

It may be determined (i) by measurement of equilibrium constants for dissociation of molecules at high temperature, (ii) from the spectrum.

It depends on types of bonding- single, double or triple bonds.

The greater the difference in bond energies, the greater is the polarity and hence greater will be the difference in electronegativity values of the atoms forming the molecule.


Bond
Calculated mean bond energy, kcal/mole
Experimental
Difference
Electronegativity difference
H-O
59
108
49
1.4
H-Cl
79
103
24
0.9
Cl-O
43
49
6
0.5