The switching efficiency (SE) of the intramolecular exchange interaction J between the open-and the closed-ring isomers of diarylethenes (DAEs) was investigated using DFT calculations of DAE biradicals with different core structures: DAEs with 3-thienyl, thiophene-S,S-dioxide-3-yl, 2-thienyl, or thiophene-S,S-dioxide-2-yl rings. The SE of DAE with a 3-thienyl ring is calculated to be around 400-fold, which is the largest among the four calculated DAEs. The decay constant β of the exchange interaction J for the DAE molecular wires was evaluated by calculating J for biradicals with different lengths of wires. For the wires of the closed-ring isomers of DAE with 3-thienyl-and thiophene-S,Sdioxide-3-yl rings, which are supposed to take a quinoid structure, allyl nitronyl nitroxide radical was successfully employed. The calculated β values showed a significant difference between the open-and the closedring isomers, and this difference of β is considered to be the origin of photoswitching of J. The difference of β upon isomerization, Δβ, is in good agreement with SE, and the largest Δβ was obtained for the DAE with a 3-thienyl ring. We can understand the switching of J as the switching of electron tunneling efficiency β between the open-and the closed-ring isomers.
■ INTRODUCTIONRecently molecular electronics has drawn considerable attention in the fields of chemistry and applied physics because of the potential application to single-molecule electronic devices. 1−4 Among these molecular electronic devices, the molecular switch is an essential material to a construct molecular circuit. 5 Diarylethene (DAE) is one of the renowned photochromic molecules which shows reversible photoisomerization between the open-and the closed-ring isomers by irradiation with UV and visible light. 6,7 One of the authors (K.M.) has reported the photoswitching of intramolecular exchange interaction J between the open-and the closed-ring isomers of a 3-thienyl DAE in which nitronyl nitroxide (NN) was connected at each end. 8 The ratio of switching, that is switching efficiency (SE), defined as the ratio of the exchange interaction J between the open-and the closed-ring isomers, J closed /J open , has been reported to be more than 150-fold. In addition, it has also been reported that the switching of J of a 2-thienyl DAE shows the opposite direction of 3-thienyl DAE. 9 After these reports, many groups, including our group, have reported switching of exchange interaction J 10−12 and molecular conductance G 13−23 based on the photochromism of DAE. The SEs of G, defined as the ratio of conductance G between the open-and the closedring isomers, G closed /G open , were reported to be about 1 to 3 orders of magnitude. 13−20 The switching of G and J based on the photochromism of DAE has also been investigated theoretically. 24−27 For example, Yoshizawa et al. showed that molecular conductance G switches about 1000 times between the two isomers of 3-thienyl DAE using nonequilibrium Green's function density functional theory (NEGF-DFT). 26 The theoret...