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These data allow us, at high resolution of a few 100\u2009pc, to extract ionized gas kinematics (V, \u03c3) of the centres of nearby star forming galaxies spanning 3\u2009 dex in stellar mass. This paper outlines the methodology for measuring the ionized gas kinematics, which we will use in subsequent papers of this survey. We also show how the maps can be used to study the kinematics of diffuse ionized gas for galaxies of various inclinations and masses. Using two different methods to identify the diffuse ionized gas, we measure rotation velocities of this gas for a subsample of six galaxies. We find that the diffuse ionized gas rotates on average slower than the star forming gas with lags of 0\u201310\u2009km\u2009s\u22121 while also having higher velocity dispersion. The magnitude of these lags is on average 5\u2009km\u2009s\u22121 lower than observed velocity lags between ionized and molecular gas. Using Jeans models to interpret the lags in rotation velocity and the increase in velocity dispersion we show that most of the diffuse ionized gas kinematics are consistent with its emission originating from a somewhat thicker layer than the star forming gas, with a scale height that is lower than that of the stellar disc.<\/jats:p>","DOI":"10.1093\/mnras\/stz3184","type":"journal-article","created":{"date-parts":[[2019,11,14]],"date-time":"2019-11-14T20:13:25Z","timestamp":1573762405000},"page":"4089-4107","source":"Crossref","is-referenced-by-count":32,"title":["The MUSE Atlas of Discs (MAD): Ionized gas kinematic maps and an application to diffuse ionized gas"],"prefix":"10.1093","volume":"491","author":[{"given":"Mark","family":"den\u00a0Brok","sequence":"first","affiliation":[{"name":"Department of Physics, ETH Z\u00fcrich, Wolfgang-Pauli-Str 27, CH-8093 Z\u00fcrich, Switzerland"},{"name":"Leibniz-Institut f\u00fcr Astrophysik Potsdam (AIP), An der Sternwarte 16, D-14482 Potsdam, Germany"}]},{"given":"C Marcella","family":"Carollo","sequence":"additional","affiliation":[{"name":"Department of Physics, ETH Z\u00fcrich, Wolfgang-Pauli-Str 27, CH-8093 Z\u00fcrich, Switzerland"}]},{"given":"Santiago","family":"Erroz-Ferrer","sequence":"additional","affiliation":[{"name":"Department of Physics, ETH Z\u00fcrich, Wolfgang-Pauli-Str 27, CH-8093 Z\u00fcrich, Switzerland"}]},{"given":"Martina","family":"Fagioli","sequence":"additional","affiliation":[{"name":"Institute for Particle Physics and Astrophysics, ETH Z\u00fcrich, Wolfgang-Pauli-Str 27, CH-8093 Z\u00fcrich, Switzerland"}]},{"given":"Jarle","family":"Brinchmann","sequence":"additional","affiliation":[{"name":"Instituto de Astrof\u00edsica e Ci\u00eancias do Espa\u00e7o, Universidade do Porto, CAUP, Rua das Estrelas, PT4150-762 Porto, Portugal"},{"name":"Leiden Observatory, Leiden University, PO Box 9513, NL-2300 RA Leiden, The Netherlands"}]},{"given":"Eric","family":"Emsellem","sequence":"additional","affiliation":[{"name":"European Southern Observatory, Karl-Schwarzchild-Str. 2, D-85748 Garching bei M\u00fcnchen, Germany"},{"name":"Univ Lyon, Univ Lyon1, ENS de Lyon, CNRS, Centre de Recherche Astrophysique de Lyon UMR5574, F-69230 Saint-Genis-Laval, France"}]},{"given":"Davor","family":"Krajnovi\u0107","sequence":"additional","affiliation":[{"name":"Leibniz-Institut f\u00fcr Astrophysik Potsdam (AIP), An der Sternwarte 16, D-14482 Potsdam, Germany"}]},{"given":"Raffaella A","family":"Marino","sequence":"additional","affiliation":[{"name":"Department of Physics, ETH Z\u00fcrich, Wolfgang-Pauli-Str 27, CH-8093 Z\u00fcrich, Switzerland"}]},{"given":"Masato","family":"Onodera","sequence":"additional","affiliation":[{"name":"Department of Physics, ETH Z\u00fcrich, Wolfgang-Pauli-Str 27, CH-8093 Z\u00fcrich, Switzerland"},{"name":"Subaru Telescope, National Astronomical Observatory of Japan, HI 96720 Hilo, USA"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8224-4505","authenticated-orcid":false,"given":"Sandro","family":"Tacchella","sequence":"additional","affiliation":[{"name":"Department of Physics, ETH Z\u00fcrich, Wolfgang-Pauli-Str 27, CH-8093 Z\u00fcrich, Switzerland"},{"name":"Harvard-Smithsonian Center for Astrophysics, 60 Garden St., Cambridge, MA 02138, USA"}]},{"given":"Peter M","family":"Weilbacher","sequence":"additional","affiliation":[{"name":"Leibniz-Institut f\u00fcr Astrophysik Potsdam (AIP), An der Sternwarte 16, D-14482 Potsdam, Germany"}]},{"given":"Joanna","family":"Woo","sequence":"additional","affiliation":[{"name":"Department of Physics, ETH Z\u00fcrich, Wolfgang-Pauli-Str 27, CH-8093 Z\u00fcrich, Switzerland"},{"name":"Department of Physics & Astronomy, PO Box 1700 STN CSC, Victoria BC V8W 2Y2, Canada"},{"name":"Department of Physics, Simon Fraser University, 8888 University Dr, Burnaby BC, Canada"}]}],"member":"286","published-online":{"date-parts":[[2019,11,15]]},"reference":[{"key":"2020111420061522600_bib1","first-page":"281","volume-title":"ASP Conf. 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