We present a fast deterministic approach to the ptychographic reconstruction of the transmission function of a specimen at atomic resolution. The method is demonstrated using a data set obtained from a cerium dioxide nanoparticle using an aberration-corrected electron microscope and is compared to established approaches to ptychography. The method is based on the solution of an overdetermined set of linear equations, and is computationally efficient and robust to measurement noise. The set of linear equations is efficiently solved using the conjugate gradient least squares method implemented using fast Fourier transforms.

The dynamics of nanostructured surface phases on SrTiO 3 (001) have been analysed using in situ scanning tunnelling microscopy (STM) above 800 • C. During high-temperature annealing, the formation, growth and ordering of the nanostructures has been observed. Dilines, with a width of ∼1 nm, are formed from a TiO 2 -rich intermediary at 800 • C. STM during annealing at 825 • C has enabled us to follow both the growth and dissolution of dilines. Following extended annealing, trilines with a width of ∼2 nm and ordered two-dimensional (2D) nano-arrays form from the diline domains. Our observations of diline dissolution implies random nucleation and growth, followed by rearrangement at elevated temperature to form domains. M This article features online multimedia enhancements

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