Systems and methods for automatically and generically matching models are provided, such as may be provided in a matching application or matching component, or provided in a general purpose system for managing models. The use of a thick wire electrode means that the surface can be machined considerably more accurately. The first and second transition layers are positioned between the base and the layer of second material with the one surface lattice matched to the base and the opposed surface lattice matched to the layer of second material. The coarse mode tuning unit performs a coarse mode tuning operation on the oscillation frequency in response to a coarse mode tuning signal, and the fine mode tuning unit performs a fine mode tuning operation on the oscillation frequency in response to a fine mode tuning signal, to substantially compensate for a frequency error of the crystal resonator. A method of automatic fluid sampling employs such samplers, and a fluid sampling system includes a plurality of interconnected samplers.