We propose a model and determine the formation conditions of the deprotonated dimeric structure, which is known to substitute the honeycomb (HON) phase in a trimeric acid (TMA) molecular assembly subjected to temperature or electric field effect. The model demonstrates that the dimeric phase occurs in a system of singly deprotonated molecules (deprotonation level, DPL = 1) bonded by neutral and ionic H-bond interactions, as well as in a 1:1 mixture of singly deprotonated and intact molecules (DPL = 0.5). We use density functional theory (DFT) to estimate the interactions between the intact and deprotonated molecules. The ground-state analysis and Monte Carlo (MC) modeling at DPL = 1 define the interaction parameters' space (including those calculated by DFT), where the dimeric phase is more stable than other structures, the HON phase and its higher-order homologue. With a decrease of DPL, the TMA−TMA dimers with ionic H-bonds are gradually replaced by usual dimers with neutral double Hbond interactions, but the dimeric geometry is fully preserved down to DPL = 0.5. At DPL ≈ 0.4, both dimeric and HON phases are equally favorable, as confirmed by their coexistence in MC simulations. For DPL < 0.3, the molecular system shows a clear preference for the HON phase.