Experimental results for the radiative energy loss of 149, 207, and 287 GeV electrons in a thin Ir target are presented. From the data we conclude that at high energies the radiation length increases in accordance with the Landau-Pomeranchuk-Migdal (LPM) theory and thus electrons become more penetrating the higher the energy. The increase of the radiation length as a result of the LPM effect has a significant impact on the behavior of high-energy electromagnetic showers. DOI: 10.1103/PhysRevLett.91.014801 PACS numbers: 41.60.-m, 07.85.Fv, 29.40.Vj, 95.30.Gv In the early 1950s, Ter-Mikaelian postulated the existence of the so-called formation length [1] for the emission of radiation. This is, loosely speaking, the length it takes to separate the photon from the electron by one wavelength such that the photon can be considered ''formed.'' If for some reason the electron is influenced during this formation, the yield of photons may increase as when electrons traverse crystals [2] or it may be reduced due to destructive interference. The formation length is the basic parameter of the LandauPomeranchuk-Migdal (LPM) effect [3,4], which predicts a reduction of photon yield due to multiple scattering in the formation zone.A beautiful series of detailed experiments was performed at Stanford Linear Accelerator Center (SLAC) to examine the LPM effect by use of electrons of 8 and 25 GeV [5]. However, only the lower 500 MeV of the photon spectrum was recorded, and, thus, no conclusion could be drawn with respect to a possible variation of the radiation length X 0 based on the experimental data.The present investigation gives experimental evidence for the energy dependence of X 0 . The yield of bremsstrahlung photons is compared to theoretical calculations over essentially the complete energy range.The LPM effect -besides being interesting in itself as a basic QED process -is relevant in several connections. In the first place, it may have a significant impact on the behavior of air showers in the neighborhood of the Greisen-Zatsepin-Kuz'min cutoff of high-energy photons [6,7]. Second, the LPM effect in QED processes may have a parallel in suppression of gluons in QCD processes [8,9]. Finally, an electromagnetic shower initiated by an electron may develop over a characteristic length that is increased substantially compared to the nominal X 0 as well as having a different composition. As an example, in lead-tungstate crystals, the shower develops corresponding to a radiation length that is longer than the nominal X 0 by as much as 2.5%, 10%, or 26% for energies 0.2, 1, or 4 TeV, respectively.Since the SLAC experiments, the theory of the LPM effect has evolved substantially: several groups have calculated LPM suppression using different approaches, among these Baier and Katkov [10], Blankenbecler and Drell [11], Zakharov [12] and Shul'ga and Fomin [13].