|
  
Electronegativity
After
atomic number, mass and valency, electronegativity is the most important
of all atomic parameters.
The concept of
electronegativity
was introduced by Linus
Pauling in 1932 who defined the new atomic property as:
"The power of
an atom in a molecule to attract electrons to itself."
The Nature
of the Chemical Bond. IV. The Energy of Single Bonds and the Relative
Electronegativey of Atoms. Journal of the American
Chemical Society Volume 54, p. 3570-3582 September 1932. The full
original paper as HTML (not pdf) is available here.
Crucially, Pauling was able
to quantify put numbers to his new parameter. While
not too much should be read into absolute values, many trends in structure
and reactivity behaviour can be mapped to ("explained in terms of",
correlated with) Pauling's electronegativity data. This
makes electronegativity an extraordinarily useful concept.

Note that hydrogen
has been moved from a position above lithium to above and between boron
and carbon. This is because the CH bond is polarised d+CHd
and the BH bond is polarised d+CHd.
IUPAC are considering the position of hydrogen on their official periodic
table, here.
In this web book,
electronegative elements are coloured blue
and electropositive elements are coloured
red. The
rational is that:
Electronegative
elements tend to gain electrons to become anionic Lewis bases.
Chlorine,
eneg 3.16, generally reacts to become chloride ion, Cl,
a lobe-HOMO Lewis base.
During
this process, the chlorine is reduced, so chlorine is an oxidising
agent.
Electropositive
elements, metals, generally react by losing one or more electrons
to become cationic Lewis acids.
Lithium,
eneg 0.98, generally reacts to become Li+, an s-LUMO
Lewis acid.
Lithium
loses an electron so it is oxidised, and so it is acting as a
reducing agent.
Using this colour
representation, the top-right
to bottom-left
diagonal trend can be clearly seen across the main group elements
and across the entire periodic table:
|
Where Do The Numbers
Come From?
Pauling's empirical electronegativity
scale is derived from thermochemical bond-energy data. Pauling observed
that bond enthalpy, EA-B, in kcal/mol between
atoms A and B can be predicted using the equation, where
cA and cB:
are the electronegativity values of A and B.

In his book The
Nature of The Chemical Bond, Pauling comments that it is more accurate
to use the geometric mean rather than the arithmetic mean, but then
uses the arithmetic mean himself. Other authors note this and then also
use the arithmetic mean.
Calculations for the formation
of the halogen halides: HF, HCl, HBr & HI from hydrogen, H2,
and the halogens, F2, Cl2,
Br2 &
I2 show how the Pauling relationship compares with
experimental data:

Download the Excel
spreadsheet here. Data is from Pauling's Nature
of the Chemical Bond. Note that the equation requires data to be in
kcal/mol rather than kJ/mol.
In Modern Inorganic Chemistry,
William Jolly comments that from this approximate relationship, a useful
and general principle can be derived:
|
"The
most stable arrangement of [polar] covalent bonds connecting a group
of atoms is that arrangement in which the atom with the highest
electronegativity be bonded to the atom with the lowest electronegativity."
Jolly, Modern Inorganic Chemistry, McGraw-Hill (1985)
pp 61-62
|
The electronegativity
difference between elements A and B is determined from the
following relationships:

Note that both the
geometric and arithmetic mean relationships are given.
For many metals the EM-M is unknown and,
instead, the enthalpy of salt formation data is used as a proxy.
Once a set of electronegativity
differences are known, it is a simple matter to assign absolute electronegativity
values.
Compounds &
Materials, Structure & Reactivity
Chlorine, by way of example,
is the third most electronegative element after fluorine and oxygen. This
electronegative nature is apparent in the structure and reaction chemistry
of:
- The chlorine atom, Cl
- The dichlorine molecule,
Cl2
- Ionic sodium chloride,
NaCl
- Molecular chloromethane,
CH3Cl
- etc.
- Electronegativity can be
used to predict the dipole moment (bond polarity) of a bond:

- Electronegativity can be
used to approximately predict the degree of ionic (and therefore covalent)
character of a bond between two dissimilar elements:


Captured from The
Nature of The Chemical Bond, 3rd Ed, pp99. The experimental values
are from vapour phase dipole moments.
- Electronegativity can be
used to predict metallic, ionic, covalent and intermediate bond type,
and these behaviours can be mapped to the Van Arkel-Ketelaar Triangle
of Bonding, as discussed in detail on the next page of the Chemogenesis
web book, here.
- When valency is included
as an additional parameter, electronegativity can be mapped to the Laing
Tetrahedron of Bonding & Material Type, as discussed on the
next but one page of the Chemogenesis web book, here.
- Electronegativity can be
used to predict chemical reactivity because: "The most stable arrangement
of [polar] covalent bonds connecting a group of atoms is that arrangement
in which the atom with the highest electronegativity be bonded to the
atom with the lowest electronegativity." Jolly, Modern Inorganic Chemistry,
McGraw-Hill (1985) pp 61-62.
It follows that pairs of compounds of the type A-Bm
and X-Yn will react with each other to maximise
and minimise electronegativty difference, as discussed the page: Why
Do Chemical Reactions Happen?, here.
- Electronegativity, along
with bond-length, pKa and other data, is
central to the chemogenesis analysis, as discussed in the sections of
this web book: Quantifying Congeneric Behaviour and Congeneric
Array Interactions, here
and here.
Electronegativity
and Theory
Pauling used bond enthalpy
data to construct his electronegativity scale. Other workers have used
other starting points.
|
Eneg
Scale
|
Method
|
Pauling
Scale
1932 |
Obtains
values by thermochemical methods. Paper |
Mulliken
Relation
1934 |
Defines
a relation that depends upon the orbital characteristics of an atom
in a molecule. Mulliken electronegativity is the numerical average
of the ionisation potential and electron affinity. Wikipedia |
Gordy
Scale
1946 |
Defines
electronegativity in terms of the effective nuclear charge and the
covalent radius. (Zeff)e/r. Phys.
Rev. 69, 604 - 607 (1946)
Gordy developed several scales! |
Walsh
Scale
1951 |
Relates
electronegativity to stretching force constants of the bonds of an
atom to a hydrogen atom. Abstract |
Huggins
Scale
1953 |
Alternative
to Pauling's thermochemical procedure. Paper |
Sanderson
Scale
1955 |
The
ratio of the average electron density of an atom to that of a hypothetical
"inert" atom having the same number of electrons. This ratio
is a measure of the relative compactness of the atom. J.Chem.Phys.
23, 2467 (1955) |
Allred-Rochow
Scale
1958 |
Defines
electronegativity in terms of the effective nuclear charge and covalent
radius. Like the Gordy scale but uses (Zeff)e/r2.
Wikipedia
|
Jaffe
Scale
1962 |
Uses
the electronegativity of orbitals rather than atoms to develop group
electronegativities for molecular fragments (eg. CH3
vs CF3) that take into account the charge of
a group, the effects of substituents, and the hybridization of the
bonding orbital. Electronegativity. I. Orbital Electronegativity of
Neutral Atoms J.
Hinze and H.H.Jaffe, J.Am.Chem. Soc., 1962, 84, 540 |
Phillips
Scale
1968 |
Defines
electronegativity in terms of the dielectric properties of atoms in
a given valence state. Paper |
Martynov
& Batsanov Scale
1980 |
Obtained
by averaging the succesive ionisation energies of an element's valence
electrons.
Russ. J. Inorg. Chem., 1980, 25, 1737. |
Allen
CE Scale
1992 |
Configuration
energy (CE), the average one-electron valence shell energy of the
ground-state free atom, is used to quantify metal-covalent-ionic bonding,
J.Am.Chem.Soc.,
(1992), 114, 1510 |
More in: H.B. Michaelson,
IBM
J. Res. Develop. 22 1 (1978). Review article by H. O. Pritchard
and H. A. Skinner: The
Concept Of Electronegativity, Chem. Rev.; 1955; 55(4) pp 745 - 786.
Electronegativity seems to
integrate average a number of arcane atomic electronic parameters.
It is a proxy parameter that in a rather simple way maps to chemical structure
and reactivity.
In his 1992
paper (J.Am.Chem.Soc., (1992), 114, 1510), Allen argued that
configuration energy, CE, is a fundamental atomic property and is the
"missing third dimension to the periodic table". He further stated that
electronegativity is an 'ad hoc' parameter.
More usefully
in this author's judgement Allen's work shows that configuration
energy, CE, correlates with electronegativity.
Indeed, electronegativity
is so important that in this author's judgement it should be considered
to be a basic atomic property rather than a simple atomic property, here.
Tables of Data
Various scientists, including
Pauling himself, have attempted to improve the original 1932 data:
|
Electronegativity
|
Pauling
|
Revised
Pauling
|
|
Sanderson
|
|
|
1
|
H
|
Hydrogen |
2.1
|
2.20
|
2.8
|
2.31
|
2.20
|
|
2
|
He
|
Helium |
|
|
|
|
|
|
3
|
Li
|
Lithium |
1.0
|
0.98
|
1.3
|
0.86
|
0.97
|
|
4
|
Be
|
Beryllium |
1.5
|
1.57
|
|
1.61
|
1.47
|
|
5
|
B
|
Boron |
2.0
|
2.04
|
1.8
|
1.88
|
2.01
|
|
6
|
C
|
Carbon |
2.5
|
2.55
|
2.5
|
2.47
|
2.50
|
|
7
|
N
|
Nitrogen |
3.0
|
3.04
|
2.9
|
2.93
|
3.07
|
|
8
|
O
|
Oxygen |
3.5
|
3.44
|
3.0
|
3.46
|
3.50
|
|
9
|
F
|
Fluorine |
4.0
|
3.98
|
4.1
|
3.92
|
4.10
|
|
10
|
Ne
|
Neon |
|
|
|
|
|
|
11
|
Na
|
Sodium |
0.9
|
0.93
|
1.2
|
0.85
|
1.01
|
|
12
|
Mg
|
Magnesium |
1.2
|
1.31
|
|
1.42
|
1.23
|
|
13
|
Al
|
Aluminum |
1.5
|
1.61
|
1.4
|
1.54
|
1.47
|
|
14
|
Si
|
Silicon |
1.8
|
1.90
|
2.0
|
1.74
|
1.74
|
|
15
|
P
|
Phosphorus |
2.1
|
2.19
|
2.3
|
2.16
|
2.06
|
|
16
|
S
|
Sulfur |
2.5
|
2.58
|
2.5
|
2.66
|
2.44
|
|
17
|
Cl
|
Chlorine |
3.0
|
3.16
|
3.3
|
3.28
|
2.83
|
|
18
|
Ar
|
Argon |
|
|
|
3.92
|
|
|
19
|
K
|
Potassium |
0.8
|
0.82
|
1.1
|
0.74
|
0.91
|
|
20
|
Ca
|
Calcium |
1.0
|
1.00
|
|
1.06
|
1.04
|
|
21
|
Sc
|
Scandium |
1.3
|
1.36
|
|
1.09
|
1.20
|
|
22
|
Ti
|
Titanium |
1.5
|
1.54
|
|
|
|
|
23
|
V
|
Vanadium |
1.6
|
1.63
|
|
|
|
|
24
|
Cr
|
Chromium |
1.6
|
1.66
|
|
|
|
|
25
|
Mn
|
Manganese |
1.5
|
1.55
|
|
|
|
|
26
|
Fe
|
Iron |
1.8
|
1.83
|
|
|
|
|
27
|
Co
|
Cobalt |
1.8
|
1.88
|
|
|
|
|
28
|
Ni
|
Nickel |
1.8
|
1.91
|
|
|
|
|
29
|
Cu
|
Copper |
1.9
|
1.90
|
|
|
|
|
30
|
Zn
|
Zinc |
1.6
|
1.65
|
|
1.86
|
1.66
|
|
31
|
Ga
|
Gallium |
1.6
|
1.81
|
1.4
|
2.10
|
1.82
|
|
32
|
Ge
|
Germanium |
1.8
|
2.01
|
1.9
|
2.31
|
2.02
|
|
33
|
As
|
Arsenic |
2.0
|
2.18
|
2.2
|
2.53
|
2.20
|
|
34
|
Se
|
Selenium |
2.4
|
2.55
|
2.4
|
2.76
|
2.48
|
|
35
|
Br
|
Bromine |
2.8
|
2.96
|
3.0
|
2.96
|
2.74
|
|
36
|
Kr
|
Krypton |
|
2.90
|
|
3.17
|
|
|
37
|
Rb
|
Rubidium |
0.8
|
0.82
|
1.0
|
0.70
|
0.89
|
|
38
|
Sr
|
Strontium |
1.0
|
0.95
|
|
0.96
|
0.99
|
|
39
|
Y
|
Yttrium |
1.2
|
1.22
|
1.4
|
0.98
|
1.11
|
|
40
|
Zr
|
Zirconium |
1.4
|
1.33
|
|
|
|
|
41
|
Nb
|
Niobium |
1.6
|
1.60
|
|
|
|
|
42
|
Mo
|
Molybdenum |
1.8
|
2.16
|
|
|
|
|
43
|
Tc
|
Technetium |
1.9
|
1.90
|
|
|
|
|
44
|
Ru
|
Ruthenium |
2.2
|
2.20
|
|
|
|
|
45
|
Rh
|
Rhodium |
2.2
|
2.28
|
|
|
|
|
46
|
Pd
|
Palladium |
2.2
|
2.20
|
|
|
|
|
47
|
Ag
|
Silver |
1.9
|
1.93
|
|
|
|
|
48
|
Cd
|
Cadmium |
1.7
|
1.69
|
|
1.73
|
1.46
|
|
49
|
In
|
Indium |
1.7
|
1.78
|
1.3
|
1.88
|
1.49
|
|
50
|
Sn
|
Tin |
1.8
|
1.96
|
1.8
|
2.02
|
1.72
|
|
51
|
Sb
|
Antimony |
1.9
|
2.05
|
2.0
|
2.19
|
1.82
|
|
52
|
Te
|
Tellurium |
2.1
|
2.10
|
2.2
|
2.34
|
2.01
|
|
53
|
I
|
Iodine |
2.5
|
2.66
|
2.7
|
2.50
|
2.21
|
|
54
|
Xe
|
Xenon |
|
|
|
2.63
|
|
|
55
|
Cs
|
Cesium |
0.7
|
0.79
|
1.0
|
0.69
|
0.86
|
|
56
|
Ba
|
Barium |
0.9
|
0.89
|
|
0.93
|
0.97
|
|
57
|
La
|
Lanthanum |
1.1
|
1.10
|
|
0.92
|
1.08
|
|
58
|
Ce
|
Cerium |
1.1
|
1.12
|
|
|
|
|
59
|
Pr
|
Praseodymium |
1.1
|
1.13
|
|
|
|
|
60
|
Nd
|
Neodymium |
1.1
|
1.14
|
|
|
|
|
61
|
Pm
|
Promethium |
1.1
|
1.13
|
|
|
|
|
62
|
Sm
|
Samarium |
1.1
|
1.17
|
|
|
|
|
63
|
Eu
|
Europium |
1.1
|
1.20
|
|
|
|
|
64
|
Gd
|
Gadolinium |
1.1
|
1.20
|
|
|
|
|
65
|
Tb
|
Terbium |
1.1
|
1.20
|
|
|
|
|
66
|
Dy
|
Dysprosium |
1.1
|
1.22
|
|
|
|
|
67
|
Ho
|
Holmium |
1.1
|
1.23
|
|
|
|
|
68
|
Er
|
Erbium |
1.1
|
1.24
|
|
|
|
|
69
|
Tm
|
Thulium |
1.1
|
1.25
|
|
|
|
|
70
|
Yb
|
Ytterbium |
1.1
|
1.10
|
|
|
|
|
71
|
Lu
|
Lutetium |
1.1
|
1.27
|
|
|
|
|
72
|
Hf
|
Hafnium |
1.3
|
1.30
|
|
|
|
|
73
|
Ta
|
Tantalum |
1.5
|
1.50
|
|
|
|
|
74
|
W
|
Tungsten |
1.7
|
2.36
|
|
|
|
|
75
|
Re
|
Rhenium |
1.9
|
1.90
|
|
|
|
|
76
|
Os
|
Osmium |
2.2
|
2.20
|
|
|
|
|
77
|
Ir
|
Iridium |
2.2
|
2.20
|
|
|
|
|
78
|
Pt
|
Platinum |
2.2
|
2.28
|
|
|
|
|
79
|
Au
|
Gold |
2.4
|
2.54
|
|
|
|
|
80
|
Hg
|
Mercury |
1.9
|
2.00
|
|
1.92
|
1.44
|
|
81
|
Tl
|
Thallium |
1.8
|
2.04
|
|
1.96
|
1.44
|
|
82
|
Pb
|
Lead |
1.8
|
2.33
|
|
2.01
|
1.55
|
|
83
|
Bi
|
Bismuth |
1.9
|
2.02
|
|
2.06
|
1.67
|
|
84
|
Po
|
Polonium |
2.0
|
2.00
|
|
|
|
|
85
|
At
|
Astatine |
2.2
|
2.2 | | |