Atom Economy
\[AE=\frac{MW_{desired}}{\sum MW_{products}}\times100\]

Variables

AEatom economy (%)
MWdmolar mass of desired product (g/mol)
MWttotal molar mass of all products (g/mol)

Description

What is this formula?


Atom economy measures the fraction of reactant atoms that become part of the desired product. It is a key metric in green chemistry because it evaluates the theoretical efficiency of a reaction independently of experimental yield.


When to use it


Use this formula when comparing synthetic routes, evaluating reaction sustainability, or selecting processes that minimize waste generation.


Example


Reaction:


C2H4 + H2O → C2H5OH


Desired product:


Ethanol


MWdesired = 46.07 g/mol


Total product molar mass = 46.07 g/mol


Formula:


AE = (MWdesired / MWtotal) × 100


Substitution:


AE = (46.07 / 46.07) × 100


Result:


AE = 100%


All atoms from the reactants are incorporated into the desired product.


Applications


Green chemistry

Process development

Industrial organic synthesis

Sustainable manufacturing

Chemical process evaluation


Note


Atom economy is a theoretical metric based solely on the balanced chemical equation. Unlike reaction yield, it does not consider incomplete conversion, side reactions, purification losses, or operational inefficiencies. A process may have high atom economy but low reaction yield, or vice versa. Both metrics should be evaluated together when assessing reaction performance.

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