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Calculators/Chemistry/Degree of unsaturation (DBE)
Chemistry

Degree of unsaturation (DBE) calculator

Number of rings and pi bonds in a molecule from its molecular formula.

What this calculator does

Degree of unsaturation (DBE) works out number of rings and pi bonds in a molecule from its molecular formula. Enter your own figures above and the answer updates as you type: nothing is fixed in the code, so the result reflects exactly the numbers you supply.

The formula this calculator evaluates is printed under the tool and explained below, so you can check the working by hand or reuse it in a spreadsheet.

The formula

FormulaDoU = (2C + 2 + N − H − X) / 2 (halogens X count as H; O and S ignored)

The inputs explained

FieldWhat to enter
Carbon atoms (C)A number. Starts at 6.
Hydrogen atoms (H)A number. Starts at 6.
Nitrogen atoms (N)A number. Starts at 0.
Halogen atoms (X)A number. Starts at 0.

Worked examples

Every figure in the tables below is produced by this page’s own calculator at build time, so the numbers and the tool always agree. Select any row to load that scenario.

How the answer changes with carbon atoms (c)

Every other input is held at the calculator’s starting values while carbon atoms (c) varies. Select any row to load that scenario into the calculator.

How the answer changes with carbon atoms (c)
Carbon atoms (C)Degree of unsaturationRings + π bondsInterpretation
31.01.0has rings and/or multiple bonds
4.52.52.5has rings and/or multiple bonds
64.04.0has rings and/or multiple bonds
97.07.0has rings and/or multiple bonds
1210.010.0has rings and/or multiple bonds
1816.016.0has rings and/or multiple bonds