A resonator arrangement has a conductive, semi-open outer housing, at an interior of which a conductive bar is provided disposed coaxially to the housing. At one end of the bar in a direction of a housing bottom, the bar has a die and, together with a dielectric and the housing bottom, forms a capacitor. The bar is short-circuited to the housing at another end, so that the bar and housing together form an LC oscillator circuit. Also disclosed is a method for analyzing a sample using a resonator arrangement.