Cross-band probes are applied for the surface temperature measurement. The most accurate surface temperature measurements are both physically complex and require a sophisticated and well thought-out sensor head design. Two thin crossed thermobands in the sensor head detect a thermoelectric voltage which quickly and accurately represents the surface temperature. Due to the filigree design of the sensor head, only very slight heat is extracted from the measuring point, so that the measurement error is negligible. The very small thermal mass of the thermal ribbons in the measuring head ensures particularly short response times when measuring the surface temperature.