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For the field strength of electrical, very long waves a relation is derived which is valid especially for long distances up to approximately 20,000 km. As compared with the known Austinian formula, the new field strength formula differs chiefly in 3 points: (a) the functional relationship with distance; (b) the effect of wave length of the damping factor; and (c) the effect of noise at the antipole of the transmitter. With the aid of ionosphere data gained empirically for short wave propagation, this representation is to furnish a clear picture of the propagation of very long waves. At long distances it yields higher field strength values than does the Austinian formula and agrees better with measured values. (Author)