Turnover number

Turnover number has two different meanings:
In enzymology, turnover number (also termed k"cat) is defined as the maximum number of chemical conversions of substrate molecules per second that a single active site will execute for a given enzyme concentration formula_1 for enzymes with two or more active sites. For enzymes with a single active site, k"cat is referred to as the catalytic constant. It can be calculated from the maximum reaction rate formula_2 and catalyst site concentration formula_1 as follows:
In other chemical fields, such as organometallic catalysis, turnover number (abbreviated "TON") has a different meaning: the number of moles of substrate that a mole of catalyst can convert before becoming inactivated. An ideal catalyst would have an infinite turnover number in this sense, because it wouldn't ever be consumed, but in actual practice one often sees turnover numbers which go from 100 up to 40 million for catalase. The term turnover frequency (abbreviated "TOF") is used to refer to the turnover per unit time, as in enzymology. For most relevant industrial applications, the turnover frequency is in the range of 10−2 – 102 s−1 (enzymes 103 – 107 s−1).[1]
Turnover frequency of catalase is maximum i.e. 4 X 107 s−1.
Turnover number of diffusion-limited enzymes.
AChE is a serine hydrolase with a reported catalytic constant > 10,000/s. This implies that AChE reacts with acetylcholine at close to the diffusion-limited rate.
Carbonic anhydrase is one of the fastest enzymes, and its rate is typically limited by the diffusion rate of its substrates. Typical catalytic constants for the different forms of this enzyme range between 104 and 106 reactions per second.