Although some authors have claimed that the effect is not detectable, we show experimentally for the first time that as the quantum parameter x grows beyond 1, an increasingly large part of the hard radiation emitted arises from the spin of the electron. Results for the energy loss of electrons in the energy range 35-243 GeV incident on a W single crystal are presented. Close to the axial direction the strong electromagnetic fields induce a radiative energy loss which is significantly enhanced compared to incidence on an amorphous target. In such continuously strong fields, the radiation process is highly nonperturbative for ultrarelativistic particles and a full quantum description is needed. The remarkable effect of spin flips and the energy loss is connected to the presence of a field comparable in magnitude to the Schwinger critical field, E 0 m 2 c 3 ͞eh, in the rest frame of the emitting electron. DOI: 10.1103/PhysRevLett.87.054801 PACS numbers: 41.60. -m, 12.20. -m, 41.75.Ht, 78.70. -g Under small angles of incidence to a crystal, the strong electric fields of the nuclear constituents add coherently such as to obtain a macroscopic, continuous field of the order E Ӎ 10 11 V͞cm. This is evidenced by, e.g., the channeling phenomenon [1] or the so-called "doughnut scattering" [2]. Therefore, in the rest frame of an ultrarelativistic electron with a Lorentz factor of g Ӎ 10 5 , the field encountered becomes comparable to the critical (or Schwinger-) field, E 0 m 2 c 3 ͞eh 1.32 3 10 16 V͞cm, corresponding to a magnetic field B 0 4.41 3 10 9 T. Here, m is the rest mass of the electron, c is the speed of light, e is the elementary charge, andh is Planck's constant divided by 2p. The incident particle moves in these immensely strong fields over distances up to that of the crystal thickness, i.e., up to several mm. Thereby the behavior of charged particles in strong fields as E 0 can be investigated.Strong field effects can be investigated by other means. One example is in heavy ion collisions where the field becomes comparable to the Schwinger field, but the collision is of extremely short duration. Another -technically demanding -example is in multi-GeV electron collisions with terawatt laser pulses where nonlinear Compton scattering and so-called "Breit-Wheeler" pair production are observed [3]. In nature, near-critical fields are believed to be present in the vicinity of pulsars.However, as we point out below, in order to investigate the effect of the spin on the radiation spectrum, the electron must interact with the strong field over large distances. So crystals present unique tools for the investigation of the influence of spin on the radiation spectrum.Already in the late 1960s, Baier and Katkov [4] calculated the photon spectrum emitted by "particles of arbitrary spin moving in an arbitrary electromagnetic field." However, the realization that the spin influences the spectrum significantly in this context lay dormant for many years and was not discussed as an observable phenomenon although radiation in...