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We propose to investigate 5 different aims in our research.  \subsection{I. Time Operators in Chemistry and the Meaning of "Chemical Events"}  Time-dependent processes in chemistry are ubiquitous. Chemical reactions occur as molecules collide with one another, exchanging kinetic and potential energy as chemical bonds are formed and broken. Similarly, in photochemical processes photons are absorbed and emitted as   The usual starting Chemical systems such as atoms, molecules and solids are described by  %Discuss conditions under which time can be treated as a parameter in chemical systems. What it means for an event to occur in chemistry.