  Bragg Coherent Diffraction Imaging (BCDI) is a powerful strain imaging tool,
often limited by beam-induced sample instability for small particles and high
power densities. Here, we devise and validate an adapted diffraction volume
assembly algorithm, capable of recovering three-dimensional datasets from
particles undergoing uncontrolled and unknown rotations. We apply the method to
gold nanoparticles which rotate under the influence of a focused coherent X-ray
beam, retrieving their three-dimensional shapes and strain fields. The results
show that the sample instability problem can be overcome, enabling the use of
fourth generation synchrotron sources for BCDI to their full potential.
