We compared the simple searches in DiKUL, an academic search engine developed by University in Ljubljana for its own use that searches its sources and Google search, an academic search engine developed by one of the biggest players on the World Wide Web. We conducted simple thematic inquiries with both search engines on various scientific fields and analysed the types of documents in the search results, their age, availability of full text, their relevance and the most important bibliometric data within the first forty search results. The differences in the search results between the two search engines are due to their different algorithms for sorting results by relevance. There are also differences between different scientific fields - with our inquiries Google Scholar was comparatively worse in the fields of social and natural sciences, but better in the fields of medicine and engineering. However, comparatively poorer achievements with other criteria are not necessarily reflected in relevance. There are more different types of documents and more full text documents available in DiKUL's search results. Both search engines give good results, among which there is little overlap. DiKUL is more suitable for less experienced users, while Google Scholar is more suitable for more experienced users, who will know where and how to check the additional availability of the search results and will be able to critically approach the search results which are too old or of inappropriate type.