Encyclopedia of Chemistry

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in which case Km= (k–1+ kcat)/k 1 (Briggs-Haldane con-
ditions). It has more usually been applied only to the
special case in which k–1>> kcatand Km= k–1/k 1 = Ks;
in this case, Km is a true dissociation constant
(Michaelis-Menten conditions).
See alsoRATE-DETERMINING STEP.


micronutrient A compound essential for cellular
growth, being present in concentrations less than about
1 mMin the growth medium.


microscopic chemical event SeeCHEMICAL REAC-
TION; MOLECULARITY.


microscopic diffusion control(encounter control)
The observable consequence of the limitation that the
rate of a bimolecular CHEMICAL REACTIONin a homo-
geneous medium cannot exceed the rate of encounter of
the reacting MOLECULAR ENTITIES.
If (hypothetically) a BIMOLECULAR reaction in a
homogeneous medium occurred instantaneously when
two reactant molecular entities made an encounter, the
RATE OF REACTION would be an ENCOUNTER-CON-
TROLLED RATE, determined solely by rates of diffusion
of reactants. Such a hypothetical fully diffusion-con-
trolled rate is also said to correspond to total micro-
scopic diffusion control and represents the asymptotic
limit of the rate of reaction as the RATE CONSTANTfor
the chemical conversion of the encounter pair into
product (or products) becomes large relative to the rate
constant for separation (or dissociation) of the
encounter pair.
“Partial microscopic diffusion control” is said to
operate in a homogeneous reaction when the rates of
chemical conversion and of separation are comparable.
(The degree of microscopic diffusion control usually
cannot be determined with any precision.)
See alsoMIXING CONTROL.


microscopic reversibility, principle of In a
REVERSIBLE REACTION, the mechanism in one direction
is exactly the reverse of the mechanism in the other
direction. This does not apply to reactions that begin
with a photochemical excitation.


See alsoCHEMICAL REACTION; DETAILED BALANC-
ING.

microstate A microstate describes a specific detailed
microscopic configuration of a system. For an atom, it is
a specific combination of quantum numbers that the
electrons can have in that configuration. For a larger sys-
tem, it is the state defined by specifying the location and
momentum of each molecule and atom in the system.

microwave Any electromagnetic wave having a wave-
length from 10 mm to 300 mm (1 GHz to 30 GHz).

microwave spectrum Usually refers to the SHF and
EHF frequencies. Super-high frequency (SHF) ranges
from 3 to 30 GHz, or free-space wavelengths of 100 to
10 mm. Extremely-high frequency (EHF) ranges from 30
to 300 GHz, or free-space wavelengths of 10 to 1 mm.

migration (1) The (usually INTRAMOLECULAR) trans-
fer of an atom or GROUPduring the course of a MOLEC-
ULAR REARRANGEMENT.
(2) The movement of a BONDto a new position,
within the same MOLECULAR ENTITY, is known as bond
migration.
Allylic rearrangements, for example:
RCHCHCH 2 X →RCH(X)CHCH 2
exemplify both types of migration.

migratory aptitude The term is applied to character-
ize the relative tendency of a group to participate in a
rearrangement. In nucleophilic rearrangements (MIGRA-
TION to an electron-deficient center), the migratory
aptitude of a group is loosely related to its capacity to
stabilize a partial positive charge, but exceptions are
known, and the position of hydrogen in the series is
often unpredictable.

migratory insertion A combination of MIGRATION
and INSERTION. The term is mainly used in organo-
metallic chemistry.

migratory insertion 179
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