Grignard Reaction with Chlorosilanes in THF
TABLE 1. Com p osition of P h en ylm a gn esiu m Ch lor id e
(m ol/L) in THF Solu tion sa
components in solution. Our density functional theory
calculations11a indicate that trans-dihalotetrakis(tetrahy-
drofurano)magnesiums are only by 3 kcal per mol or less
stabilized over the tris(tetrahydrofurano) complexes while
cis-tetrakis complexes are much more unstable.12 The
tris(tetrahydrofurano) complexes in their turn are by 4
to 5 kcal per mol more favored than the MgX2‚2THF
complexes.11 However, the calculations were performed
for the gas phase. In the liquid phase, small differences
can be detracted due to the presence of the second
solvation sphere. Inferences from our DFT calculations
encouraged us to adopt equilibrium 3, in particular, after
the calculations described below failed when tetrasol-
vated magnesium chloride was assumed.
PhMgb
PhMgCl
Ph2Mg
MgCl2
0.2
0.4
0.5
0.7
0.8
0.084
0.171
0.215
0.304
0.350
0.058
0.115
0.142
0.200
0.225
0.073
0.144
0.185
0.250
0.285
a
b
For W ) 1.15. Concentration of the Grignard reagent.
TABLE 2. Com p osition of 0.5 M P h en ylm a gn esiu m
Ch lor id e in THF -Tolu en e Mixtu r esa
b
c
toluene vol %
Xtol
PhMgClc
Ph2Mgc
MgCl2
0
20
40
60
75
0
0.215
0.235
0.258
0.291
0.337
0.142
0.132
0.120
0.105
0.080
0.185
0.182
0.170
0.155
0.130
According to equilibrium 3, the Schlenk equilibrium
constant can be expressed as
0.18
0.38
0.60
0.79
[RMgX]2[THF]
KS )
(4)
a
b
For W ) 1.15. Molar fraction of toluene. c Mol/L.
[R2Mg][MgX2]
In experiment, e.g. from the NMR spectra, the Schlenk
equilibrium constant is usually determined as3b
the reagent consumed for solvation of the species accord-
ing to equilibrium 3. In the first approximation, [THF]S
was calculated as
2
[RMgX]
KS,exp
)
(
)
[R2Mg]
[THF]S ) [RMg] + [MgX] + (W - 1)[RMg] )
2W[RMg]
assuming that [R2Mg] ) [MgX2].
Thus, in calculations for various Grignard reagent
concentrations, the true equilibrium constant, KS
S,exp[THF], should be used provided KS,exp is determined
in a dilute solution, and [THF] is the concentration of
free THF in the solution.
slightly underestimating the value. Then provisional
concentrations of RMgX, R2Mg, and MgX2 were calcu-
lated, the corrected value for [THF]S was found, and
ultimately the final values of the species were calculated.
Actually, the corrections done by iteration were relatively
small, ranging a few percent.
Somewhat problematic is the estimation of [THF]F. For
correct calculations, densities of Grignard reagent solu-
tions are necessary. However, we have observed that an
increase in the specific gravity of a Grignard reagent up
to 1 M concentration usually does not exceed 10% of that
of the pure solvent. Tentative calculations indicated that
the probable error is small.14
Principally the same approach was used in the calcula-
tion of concentrations of the species in THF-toluene
binary solvents. Because no appreciable volume effects
were observed by mixing the solvents, the final volume
of the mixture was considered as additive in the compo-
nents.
Calculated concentrations of the species in equilibrium
3 for phenylmagnesium chloride in THF and THF-
toluene mixtures are presented in Tables 1 and 2,
respectively.
)
K
The Schlenk equilibrium constant for phenylmagne-
sium chloride has been determined13 as 1.66 in dilute
THF solutions (0.1-0.15 M). Taking the free THF
concentration approximately equal to the pure THF
concentration (12.3 M) we further used in calculations
KS ) 20 mol/L.
For calculations, experimentally determined concen-
trations of the basic magnesium, [RMg], and of ha-
lide ion, [X-] (or [Mg-X]), are available. The ratio W )
[MgX]/[MgR], incidentally expressing the contribution of
the Wurtz reaction during the preparation of the Grig-
nard reagent, was convenient to use in the derivation of
eqs 5 and 6.
[RMgX] + 2[R2Mg] ) [RMg]
(5)
(6)
[RMgX] + 2[MgX2] ) [MgX] ) W[RMg]
Eventually, from eqs 4, 5, and 6, values of [RMgX],
[R2Mg], and [MgX2] can be calculated for any [RMg] and
W. Equation 4 involves the concentration of free THF in
the solution, [THF]F, which was found as
Tr ea tm en t of Kin etic Da ta . In general, competitive
reactions of PhMgCl and Ph2Mg species with the silane
can be expected:
(11) (a) Tammiku-Taul, J .; Burk, P.; Tuulmets, A. J . Phys. Chem.
A 2004, 108, 133-139. (b) For example, the calculated solvation
enthalpies in kcal mol-1 are for MgCl2‚2THF -43.7, PhMgCl‚2THF
-35.1, and Ph2Mg‚2THF -27.8.
[THF]F ) 12.3 - [THF]S
where [THF]S is the molar amount of THF per liter of
(12) Calculations were performed for chlorides and bromides.11a The
cis-form is
a deformed octahedron where two THF ligands are
(9) (a) Schro¨der, F.; Spandau, H. Naturwissenschaften 1966, 53,
360-362. (b) Perucaud, M.; Ducom, J .; Vallino, M. C. R. Acad. Sci.
1967, 264, 571-573.
(10) Sarma, R.; Ramirez, F.; McKeever, B.; Chaw, Y. F.; Marecek,
J . F.; Nierman, D.; McCaffrey, T. M. J . Am. Chem. Soc. 1977, 99, 5289-
5295.
equatorial and the other two are axial. The trans-form is also an
octahedron where equatorial and axial positions are indistinguishable.
(13) Smith, M. B.; Becker, W. E. Tetrahedron 1967, 23, 4215-4219.
(14) For example, if the density of 0.5 M PhMgCl is by 6% greater
than that of pure THF, the error in [THF]F is +2%, and if it is greater
by 10%, the error is -3%.
J . Org. Chem, Vol. 69, No. 15, 2004 5073