10.6084/m9.figshare.4479743.v1 Niranjan D. Parab Niranjan D. Parab Zherui Guo Zherui Guo Matthew Hudspeth Matthew Hudspeth Benjamin Claus Benjamin Claus Boon Him Lim Boon Him Lim Tao Sun Tao Sun Xianghui Xiao Xianghui Xiao Kamel Fezzaa Kamel Fezzaa Weinong W. Chen Weinong W. Chen Supplementary Material from Origins and demonstrations of electrons with orbital angular momentum The Royal Society 2016 fracture of geomaterials high-strength concrete limestone high-speed synchrotron X-ray imaging Kolsky bar 2016-12-19 10:40:15 Journal contribution https://rs.figshare.com/articles/journal_contribution/Supplementary_Material_from_Origins_and_demonstrations_of_electrons_with_orbital_angular_momentum/4479743 The surprising message of Allen <i>et al.</i> (Allen <i>et al.</i> 1992 <i>Phys. Rev. A</i> 45, 8185 (doi:10.1103/PhysRevA.45.8185)) was that photons could possess orbital angular momentum in free space, which subsequently launched advancements in optical manipulation, microscopy, quantum optics, communications, many more fields. It has recently been shown that this result also applies to quantum mechanical wave functions describing massive particles (matter waves). This article discusses how electron wave functions can be imprinted with quantized phase vortices in analogous ways to twisted light, demonstrating that charged particles with non-zero rest mass can possess orbital angular momentum in free space. With Allen <i>et al.</i> as a bridge, connections are made between this recent work in electron vortex wave functions and much earlier works, extending a 175 year old tradition in matter wave vortices.This article is part of the themed issue ‘Optical orbital angular momentum’.