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Although knowledge on the peculiarities of testing and assessing fate and effects of nanomaterials in the environment strongly increased in the last years, uncertainties about how to perform a reliable and robust environmental risk assessment for nanomaterials still remain. These uncertainties are of special relevance in a regulatory context, challenging both industry and regulators. The present paper presents current challenges in regulatory hazard and exposure assessment under REACH, as well as classification of nanomaterials, and makes proposals to address them. Still, the nanospecific considerations made here are expected to also be valid for environmental risk assessment approaches in other regulations of chemical safety. Inter alia, these proposals include a way forward to account for exposure concentrations in aquatic toxicity test systems, a discussion of how to account for availability of dissolving nanomaterials in aquatic test systems, and a pragmatic proposal to deduce effect data for soil organisms. Furthermore, it specifies how to potentially deal with nanoforms under the European regulation on Classification, Labelling and Packaging of substances and mixtures (CLP) and outlines the needs for proper exposure assessments of nanomaterials from a regulatory perspective. Integr Environ Assess Manag 2020;16:706\u2013717. \u00a9 2020 The Authors. Integrated Environmental Assessment and Management published by Wiley Periodicals LLC on behalf of Society of Environmental Toxicology &amp; Chemistry (SETAC)<\/jats:p>","DOI":"10.1002\/ieam.4267","type":"journal-article","created":{"date-parts":[[2020,3,16]],"date-time":"2020-03-16T10:55:47Z","timestamp":1584356147000},"page":"706-717","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":79,"title":["Environmental Risk Assessment of Nanomaterials in the Light of New Obligations Under the REACH Regulation: Which Challenges Remain and How to Approach Them?"],"prefix":"10.1093","volume":"16","author":[{"given":"Kathrin","family":"Schwirn","sequence":"first","affiliation":[{"name":"German Environment Agency (UBA), Dessau Ro\u00dflau Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Doris","family":"Voelker","sequence":"additional","affiliation":[{"name":"German Environment Agency (UBA), Dessau Ro\u00dflau 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