We have used scanning tunnelling spectroscopy and angle-resolved
photoemission spectroscopy to visualize the gapless surface states in the three-dimensional topological
insulator Bi1-xSbx, and examine in detail the influence of scattering from disorder caused by random
alloying in this compound. A key predicted feature of such spin-textured surface states is their
insensitivity to spin-independent scattering, which is thought to protect them from backscattering
and localization. We show that, despite strong atomic scale disorder, backscattering between states of
opposite momentum and opposite spin is absent. Our observations demonstrate that the chiral nature of
these states protects the spin of the carriers. These chiral states are therefore potentially useful
for spin-based electronics, in which long spin coherence is critical, and also for quantum computing
applications, where topological protection can enable fault-tolerant information processing.