Molecular communication (MC) enables information exchange at the nano- and microscale, with applications in areas like drug delivery and health monitoring. These event-driven scenarios often require alternatives to traditional transmission. Identification communication, introduced by Ahlswede and Dueck, offers such an approach, in which the receiver only determines whether a specific message was sent, suiting resource-limited and event-triggered systems. This paper combines MC with identification and proposes a one-dimensional (1D) diffusion-based model. Diffusion noise is modeled as a Poisson process, and a lower bound on channel capacity is derived. Simulations, microscopic, and with short-length deterministic codes, validate theoretical results, including the channel impulse response and error bounds. The findings support the design of practical MC systems, with potential use in testbed development.