10.18453/rosdok_id00003901 Marienhagen, Philipp Philipp Marienhagen http://d-nb.info/gnd/1265140537 https://orcid.org/0000-0001-6834-6700 Universität Rostock 2022 500 Natural sciences 540 Chemistry & allied sciences 2022 en http://purl.uni-rostock.de/rosdok/id00003901 urn:nbn:de:gbv:28-rosdok_id00003901-2 In this work, equations of state of hard, anisotropic particles are studied employing the complementary methods of virial theory and Monte Carlo simulations. To calculate higher-order virial coefficients, an algorithm is developed and optimised for hard particles. Using this algorithm, virial coefficients of hard lenses and hard, oblate ellipsoids of revolution are calculated. The method is extended to the 4D space. The development of a cluster Monte Carlo algorithm gives access to precise equation-of-state data, which is compared to the virial series.