A copper-based brazing material comprises an alloy having nickel in a proportion of from 20 to 35 percent by weight, zinc in a proportion of from 5 to 20 percent by weight, manganese in a proportion of from 5 to 20 percent by weight, chromium in a proportion of from 1 to 10 percent by weight, silicon in a proportion of from 0.1 to 5 percent by weight and molybdenum in a proportion of from 0 to 7 percent by weight, each based on the total weight of the alloy, and the remainder being copper and unavoidable impurities. The alloy is in particular free from boron, phosphorus and lead. The brazing material can be used for induction brazing of components made of iron materials for exhaust systems in motor vehicles.