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Sending academicians abroad was quite rare at that time (as opposed to the early years of the [[Russian Academy of Sciences]]), so Lexell willingly agreed to make the trip. He was instructed to write his itinerary, which without changes was signed by [[:ru:Домашнев, Сергей Герасимович|Domashnev]]. The aims were as follows: since Lexell would visit major observatories on his way, he should learn how they were built, note the number and types of scientific instruments used, and if he found something new and interesting he should buy the plans and design drawings. He should also learn everything about [[cartography]] and try to get new [[Map#Geographic maps|geographic]], [[Hydrography|hydrographic]], [[military]], and [[Mineralogy|mineralogic]] [[map]]s. He should also write letters to the [[Russian Academy of Sciences|Academy]] regularly to report interesting news on science, arts, and literature.<ref>{{cite journal|date=1780|title=Voyage Académique|journal=Acta Academiae Scientiarum Imperialis Petropolitanae|issue=2|pages=109–110}}</ref>
Lexell departed St. Petersburg in late July 1780 on a [[sailing ship]] and via [[Swinemünde]] arrived in [[Berlin]], where he stayed for a month and travelled to [[Potsdam]], seeking in vain for an [[Audience (meeting)|audience]] with King [[Frederick II of Prussia|Frederick II]]. In September he left for [[Bavaria]], visiting [[Leipzig]], [[Göttingen]], and [[Mannheim]]. In October he traveled to [[Strasbourg|Straßbourg]] and then to [[Paris]], where he spent the winter. In March 1781 he moved to [[London]]. In August he left London for [[Belgium]], where he visited [[Flanders]] and [[Duchy of Brabant|Brabant]], then moved to the [[Netherlands]], visited [[The Hague]], [[Amsterdam]], and [[Saardam]], and then returned to [[Germany]] in September. He visited [[Hamburg]] and then boarded a ship in [[Kiel]] to sail to Sweden; he spent three days in [[Kopenhagen]] on the way. In Sweden he spent time in his native city [[Åbo]], and also visited [[Stockholm]], [[Uppsala]], and
There are 28 letters in the archive of the Academy that Lexell wrote during the trip to [[Johann Euler]], while the official reports that Euler wrote to the Director of the Academy, [[:ru:Домашнев, Сергей Герасимович|Domashnev]], were lost. However, unofficial letters to Johann Euler often contain detailed descriptions of places and people whom Lexell had met, and his impressions.<ref name="lyub">{{cite journal|author=Lubimenko, Inna|date=1936|title=The foreign trip of Academician A. J. Lexell in 1780-1781|journal=Archiv Istorii Nauki i Techniki|volume=8|pages=327–358|author-link=Inna Lubimenko}}</ref>
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