Charge transport in molecular systems, including DNA, is involved in many basic chemical and biological processes, and its understanding is critical if they are to be used in electronic devices. This important phenomenon is often described as either coherent tunnelling over a short distance or incoherent hopping over a long distance. Here, we show evidence of an intermediate regime where coherent and incoherent processes coexist in double-stranded DNA. We measure charge transport in single DNA molecules bridged to two electrodes as a function of DNA sequence and length. In general, the resistance of DNA increases linearly with length, as expected for incoherent hopping. However, for DNA sequences with stacked guanine-cytosine (GC) base pairs, a periodic oscillation is superimposed on the linear length dependence, indicating partial coherent transport. This result is supported by the finding of strong delocalization of the highest occupied molecular orbitals of GC by theoretical simulation and by modelling based on the Büttiker theory of partial coherent charge transport.

By recording the full fluorescence spectra and super-resolved positions of ∼10 individual polarity-sensing solvatochromic molecules, we reveal compositional heterogeneity in the membranes of live mammalian cells with single-molecule sensitivity and ∼30 nm spatial resolution. This allowed us to unveil distinct polarity characteristics of the plasma membrane and the membranes of nanoscale intracellular organelles, a result we found to be due to differences in cholesterol levels. Within the plasma membrane, we observed the formation of low-polarity, raft-like nanodomains upon cholesterol addition or cholera-toxin treatment, but found this nanoscale phase separation absent in native cells. The ultimate sensitivity achieved through examining the spectra of individual molecules thus opens the door to functional interrogations of intracellular physicochemical parameters at the nanoscale.

Intracellular diffusion underlies vital cellular processes. However, it remains difficult to elucidate how an unbound protein diffuses inside the cell with good spatial resolution and sensitivity. Here we introduce single-molecule displacement/diffusivity mapping (SM d M), a super-resolution strategy that enables the nanoscale mapping of intracellular diffusivity through local statistics of the instantaneous displacements of freely diffusing single molecules. We thus show that the diffusion of an average-sized protein in the mammalian cytoplasm and nucleus to both be spatially heterogeneous at the nanoscale, and such variations in local diffusivity correlate with the ultrastructure of the actin cytoskeleton and the chromosome, respectively. SM d M of differently charged proteins further unveils that the possession of positive, but not negative, net charges drastically impedes diffusion, and that the exact degree of slowdown is determined by the specific subcellular environments. We thus open a new door to probing intracellular properties and functions at the nanoscale.

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