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the wear effects. With respect to organic syntheses in PBMs this parameter has
been evaluated for various reaction examples such as Suzuki cross-coupling
(Scheme 10.2), 72 oxidative homo-coupling, 62,63 as well as the oxidation of
g-terpinene to p-cymene 77 and of b-pinene to nopinone (Scheme 10.3A-B). 73
The correlations between product yield and n MB for reactions carried out in a
PBM with d MB ¼ 15 mm are shown in summarized in Figure 10.7.
The results indicate a strong linear relationship between those two vari-
ables, which is reasonable since Eq. (10.1) proves the direct proportionality
of E kin and the mass of the moving grinding bodies. While the number of
grinding bodies in the milling vial increases the transferred energy is higher
KMnO 4 , H 2 O
alumina
O
A
planetary ball mill
MV, MB = MSZ
KMnO 4 , H 2 O
alumina
B
planetary ball mill
MV, MB = MSZ
KMnO 4
neutral γ -Al 2 O 3
N
C
NH 2
N
planetary ball mill
MV, MB = agate
Scheme 10.3 Oxidative model reactions used for the investigation of parameter
effects.
Figure 10.7 Correlation of product yield with the number of milling balls n MB for
several model reactions in a PBM. (For references to the individual data
see the text.)
 
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