| Theoretische Chemie, Ruhr-Universität Bochum, Germany, www.theochem.ruhr-uni-bochum.de | Up | |||||||||
Simulating photochemistry by nonadiabatic dynamics
Fig. 1:
Schematic representation of two typical surface hopping trajectories
(red and green dashed lines). At any moment in time the system is propagated
in a pure electronic quantum state, but transitions between different
electronic states are allowed. The probability for a nonadiabatic surface
switch depends on the strength of the nonadiabatic coupling. Small energy
gaps between two states generally result in high transition probabilities.
Surface hops, therefore, tend to occur mainly in the vicinity of (avoided)
surface crossings.
Chemical reactions rarely take place spontaneously; energy generally needs
to be supplied in order to activate them. In the case of thermal reactions
an activation barrier in the electronic ground state is overcome by heating
the system. Photoreactions, on the other hand, only occur upon absorption of
light promoting an electron into an excited state. Often the excited state
dynamics is not entirely independent of the ground state (or other excited
states), i.e. the two (or more) electronic states are coupled. In such a
scenario one speaks of nonadiabatic dynamics.
Theoretical treatment of nonadiabatic dynamics requires two main ingredients, a reliable method to calculate excited states and a technique to perform molecular dynamics (MD) simulations in two or more coupled electronic states. Car-Parrinello (or ab initio) molecular dynamics (CP-MD) is a technique to simultaneously propagate atomic nuclei and their electrons based on density functional theory (DFT). Until recently this method was applicable only to systems in the electronic ground state. In 1998, a novel CP-MD scheme was introduced that made possible MD simulations in the lowest excited singlet state, S1. We have combined the ground and excited state CP-MD approaches and, in addition, incorporated nonadiabatic effects by implementing a so-called surface hopping algorithm (see Fig. 1). Our nonadiabatic CP-MD (na-CP-MD) method has been tested on a well-known photochemical reaction in the gas phase, namely the cis - trans photoisomerisation of formaldimine (see Fig. 2). Photoisomerisation about a double bond plays an important role in many biological processes such as vision. However, since real-life biochemical reactions usually take place in aqueous solution, it is desirable to be able to carry out nonadiabatic MD simulations of condensed phases. This is where the present na-CP-MD approach is most efficient. In order to demonstrate the applicability of na-CP-MD to condensed phase systems, we have studied the trans - cis photoisomerisation of diazene, N2H2, in aqueous solution (see Fig.3).
Fig. 3:
Photoisomerisation of diazene, N2H2, in aqueous solution. The simulation
was carried out in a periodically repeated unit cell containing 30 water
molecules at room temperature. At the start of the calculation, the trans
isomer of diazene is photoexcited. Similar to the case of formaldimine which
is depicted in Fig.2, one of the NH bonds begins to twist out of plane and
finally flips to the other side of the NN axis forming the cis isomer.
Further information and details:
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