We investigate the mechanism by which small organic molecules adsorbed on a field emission tip form cloverleaf patterns. This phenomenon was discovered by Müller in 1950. Many theories have been subsequently proposed for the formation of these patterns. However, their formation mechanism is not well understood. In a previous study, we obtained images of emission sites by field ion microscopy that contained the same shapes as cloverleaf patterns. In the present study, we experimentally determine the necessary conditions for obtaining cloverleaf patterns. Experiments using simple gas and liquid molecules with σ- or π-bonds clearly revealed that there are two main conditions for obtaining cloverleaf patterns: molecules must contain π-bonds and their adsorption state must be modulated by the electron current.