8.618
eV
3.84
1.24
31.9
%
8.618
eV
3.84
1.24
31.9
%
The Electronegativity Calculator computes electronegativity using the Mulliken method and analyzes bond polarity from electronegativity differences. Electronegativity is the tendency of an atom to attract shared electrons toward itself in a chemical bond, first quantified by Linus Pauling in 1932. The Mulliken electronegativity, proposed by Robert Mulliken in 1934, defines it as the arithmetic mean of ionization energy and electron affinity: EN = (IE + EA) / 2. This calculator computes both the Mulliken value and its conversion to the familiar Pauling scale. Additionally, it calculates the electronegativity difference between two atoms and estimates the percent ionic character of the bond using the Pauling equation, providing critical information for predicting bond polarity and molecular properties.
The calculator uses two complementary approaches:
Mulliken Electronegativity:
EN_Mulliken = (IE + EA) / 2
Where IE is the first ionization energy and EA is the electron affinity, both in electron volts (eV). The Mulliken value is converted to the Pauling scale using the empirical relationship: EN_Pauling = 0.359 x EN_Mulliken + 0.744.
Bond Character Analysis:
The electronegativity difference between two bonded atoms determines bond polarity:
General guidelines: delta-EN < 0.4 = nonpolar covalent, 0.4-1.7 = polar covalent, > 1.7 = ionic. These boundaries are approximate and context-dependent; HF (delta-EN = 1.78) is considered covalent despite the high difference.
The Mulliken electronegativity reflects the balance between an atom's tendency to lose electrons (IE) and gain them (EA). High IE and high EA both increase electronegativity. The Pauling-scale conversion allows direct comparison with standard reference values (F = 3.98, O = 3.44, C = 2.55, Na = 0.93). The percent ionic character estimates how unevenly electrons are shared: 0% means perfectly shared (pure covalent), 100% means complete electron transfer (ionic). Most bonds fall between these extremes. The electronegativity difference is the primary predictor of bond polarity and dipole moment.
Inputs
Results
Hydrogen has IE = 13.618 eV and EA = 0.754 eV, giving Mulliken EN = 7.186 eV, converting to approximately 3.32 on the Pauling scale. The EN difference between H (2.20) and Cl (3.44) is 1.24, giving 32% ionic character - a significantly polar covalent bond with H being the positive end.
Inputs
Results
Sodium (IE=5.139, EA=0.548) has a low Mulliken EN of 2.844 eV (1.77 Pauling). The Na-Cl electronegativity difference of 2.23 gives 71.5% ionic character, confirming that NaCl is predominantly ionic. The actual experimental ionic character from dipole measurements is about 79%.
Fluorine is the most electronegative element with a Pauling value of 3.98. This is because fluorine has a small atomic radius, high effective nuclear charge, and nearly complete valence shell (needing just one more electron). Fluorine's extreme electronegativity makes it the strongest oxidizing agent among the elements.
The Pauling scale is based on bond dissociation energies and sets hydrogen at 2.20. The Mulliken scale uses (IE + EA)/2 in eV. They are related by the empirical equation EN_Pauling = 0.359 x EN_Mulliken + 0.744. While the numerical values differ, both scales produce the same relative ordering of elements and the same predictions of bond polarity.
Noble gases have complete valence shells and generally do not form chemical bonds under normal conditions. Since electronegativity describes electron-attracting tendency in a bond, it is undefined for atoms that do not bond. However, Pauling values have been estimated for Xe (2.6) and Kr (3.0) based on their known compounds like XeF2.
The electronegativity difference is the primary criterion. Differences less than 0.4 produce nonpolar covalent bonds, 0.4-1.7 produce polar covalent bonds, and greater than 1.7 generally produce ionic bonds. However, this is a continuum, not sharp boundaries. The metal/nonmetal character of the atoms also matters: bonds between two nonmetals are typically covalent regardless of EN difference.
Electronegativity differences create bond dipoles (partial charges). The overall molecular polarity depends on both the bond dipoles and molecular geometry. In CO2, equal but opposite C=O dipoles cancel (linear geometry), making it nonpolar. In H2O, the O-H dipoles do not cancel (bent geometry), making it polar. Thus electronegativity alone does not determine molecular polarity.
Yes. Electronegativity increases with positive oxidation state because the effective nuclear charge on the remaining electrons increases. For example, Fe3+ is more electronegative than Fe2+. This is captured in the Sanderson electronegativity equalization principle: when atoms bond, their electronegativities equalize through partial charge transfer.
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