Degree of Unsaturation
A count of rings and pi bonds derived from molecular formula.
A count of rings and pi bonds derived from molecular formula.
The degree of unsaturation, also called the index of hydrogen deficiency, counts the total number of rings and pi bonds in a molecule from its molecular formula. It is calculated as DoU equal to (2C plus 2 plus N minus H minus X) divided by 2, where C, N, H and X are the numbers of carbon, nitrogen, hydrogen and halogen atoms. Each ring or double bond accounts for one degree, and a triple bond accounts for two. A DoU of 4 is a strong indication of an aromatic ring such as benzene. The value helps narrow down possible structures before spectroscopic analysis.
Key ideas: DoU equals (2C plus 2 plus N minus H minus X) over 2, counting rings plus pi bonds. Oxygen and sulfur do not count. One DoU means one double bond or ring, two means a triple bond or two double bonds, and four or more often suggests a benzene ring (benzene has 4). Compute from the formula before drawing candidate structures; C6H6 gives 4, C4H8 gives 1.
Common mistakes and connections: Students count oxygen, or add rather than subtract halogens as hydrogens. Another error is expecting a triple bond equals one DoU; it is two. Remember it does not tell between ring and double bond. Links to isomer counting, spectroscopy and hydrogenation experiments, since each DoU absorbs one H2 only for pi bonds.
Each ring or pi bond counts as one degree of unsaturation, so benzene is 4 (one ring and three double bonds). The interactive lesson shows this as a live animation or chart.
Benzene, C6H6, has a degree of unsaturation of 4, consistent with its ring plus three double bonds.
A count of rings and pi bonds derived from molecular formula.
Degree of Unsaturation is a intermediate topic in Organic Chemistry. It builds on the vocabulary of beginner topics in this area.
Study these earlier topics in Organic Chemistry first: Purification of Organic Compounds, Chromatography, Elemental Analysis.
The next topics in Organic Chemistry are Acidity of Terminal Alkynes and Keto-Enol Tautomerism.
Yes. The interactive lesson includes a self-check question on Degree of Unsaturation, and the Organic Chemistry quiz draws on every topic in this area.
Degree of Unsaturation is topic 135 of 148 in Organic Chemistry.