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Here, we introduce Co\u2013Fe nanovolcanoes\u2014nanodisks overlaid by nanorings\u2014as purpose-engineered 3D architectures for nanomagnonics, fabricated by focused electron beam-induced deposition. We use both perpendicular spin-wave resonance measurements and micromagnetic simulations to demonstrate that the rings encircling the volcano craters harbor the highest-frequency eigenmodes, while the lower-frequency eigenmodes are concentrated within the volcano crater, due to the non-uniformity of the internal magnetic field. By varying the crater diameter, we demonstrate the deliberate tuning of higher-frequency eigenmodes without affecting the lowest-frequency mode. Thereby, the extension of 2D nanodisks into the third dimension allows one to engineer their lowest eigenfrequency by using 3D nanovolcanoes with 30% smaller footprints. The presented nanovolcanoes can be viewed as multi-mode microwave resonators and 3D building blocks for nanomagnonics.<\/jats:p>","DOI":"10.1063\/5.0044325","type":"journal-article","created":{"date-parts":[[2021,3,30]],"date-time":"2021-03-30T13:05:50Z","timestamp":1617109550000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":36,"title":["Spin-wave eigenmodes in direct-write 3D nanovolcanoes"],"prefix":"10.1063","volume":"118","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7895-8265","authenticated-orcid":false,"given":"O. V.","family":"Dobrovolskiy","sequence":"first","affiliation":[{"name":"Faculty of Physics, University of Vienna 1 , 1090 Vienna, Austria"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8697-4452","authenticated-orcid":false,"given":"N. 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