We report ESR study of Gd and Nd in RCo2 and RNi2 (R = Sc, Y, Zr, Lu, Ce) compounds. The variation of the Gd g shift from RCo2 to RNi2 compounds is consistent with a recent calculation of the density of states and also with the systematic behaviour demonstrated previously by us for transition metal intermetallic compounds. The Nd resonance in CeNi2 and LuNi2 indicate Γ6 ground state crystalline field splitting; the Nd g value in YNi2:Nd and LuNi2: Nd is anomallous. Several possibilities for this anomally are discussed. © 1981.392203207Buschow, (1977) Rep. Progress Phys., 40, p. 1179. , For review of the subject, the interested reader is refered to the review ofBloch, Chaisse, Givord, Voiron, Burzo, (1971) Jour. de Physique CL, p. G59R. LEMAIRE COBALT, 33, 201 (1966)Bloch, Edwards, Shimzu, Voiron, (1975) J. Phys. F: Metal Phys., 5, p. 1217Bloch, Lemaire, (1970) Phys. Rev., 2 B, p. 2648Campbell, (1972) Jour. Phys. F:Metal Phys., 2, p. L47Bloch, Camphansen, Voiron, Ayasse, Berton, Chaussy, (1972) Acd. Paris, 275, pp. B-601Cyrot, Lavanga, (1979) Jour. de Physique, 40, p. 761Barberis, Davidov, Donoso, Rettori, Suassuna, Dokter, (1979) Phys. Rev., 19 B, p. 5495Burzo, Baican, (1976) Sol. State Comm., 18, p. 1475Collings, Smith, Lecander, (1969) Jour. Less Comm. Metals, 18, p. 251Narath, (1967) Hyperfine Interactions, , A.J. Freeman, R.B. Franke, Academic PressMoriya, (1963) Jour. Phys. Soc. Japan, 18, p. 516Bleaney, Crystal Field Effects and the Co-Operative State. I. A Primitive Theory (1963) Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 276 A, p. 19We were able, recently to observe the resonance of Nd and Gd in ScIr2, ZrIr2 and CeOs2. In all the cases the Nd resonance indicate a Γ6 ground statesDavidov, Rettori, Orbach, Baberschke, Chock, (1973) Phys. Rev., 8 B, p. 3563Davidov, Orbach, Rettori, Shaltiel, Tao, Ricks, (1972) Sol. State Comm., 10, p. 451Davidov, (1974) Phys. Rev., 9 B, p. 2879