The 2-reaction sequence shown in the diagram is interesting.
The second step is likely a solid-liquid PTC reaction.
In the first step, tetrabutylammonium chloride (TBAC) serves as a source of organic-soluble chloride ion to catalyze the opening of the epoxide and subsequent attack of the alkoxide on the phosgene that regenerates the chloride anion as leaving group. The glycidyl ether starting material and the chloromethyl chloroformate intermediate are liquids (oil). The intermediate is not isolated other than being stripped with dry argon to remove excess phosgene. This means that the tetrabutylammonium cation was not separated from the intermediate.
For the second step, acetonitrile is added to the crude intermediate and the mixture is cooled to 0 deg C. To the reaction mixture is added solid sodium sulfide at a rate that maintains the temperature below 5 deg C. While a very small amount of the sodium sulfide might dissolve in acetonitrile, it may be reasonable to assume that the tetrabutylammonium cation, that was not separated from the intermediate after the first step, transfers the sulfide anion into the acetonitrile phase and therefore acts as a phase-transfer catalyst.
In other words, we speculate that the second reaction is a solid-liquid phase-transfer catalyzed sulfide SN2 reaction to form the cyclic thiocarbonate product.
It should be noted that trimethoxysilanes are very sensitive to hydrolysis, much more so than triethoxysilanes. For that reason, it is important to avoid the use of water and the role of the quaternary ammonium phase-transfer catalyst may have been crucial in the thiocarbonate formation reaction.
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