Atomic-scale lateral variations in the apparent barrier height, which are a measure of the decay of the conductance with tip-sample distance in the scanning tunneling microscope, have been measured with three different methods. In general, a lateral variation of 10-25% is obtained within the unit cell of the reconstructed Au(110) surface. Furthermore, it is revealed that the absolute values, deduced from measurements of the tip-surface distance as a function of tunnel voltage, are approximately 30% lower than values obtained with other methods. However, in contrast to a previous study, none of the methods result in anomalously low values.In a simple one-dimensional model [1], the tunneling conductance in a scanning tunneling microscope (STM) can be written aswhere I t and V t are the tunneling current and voltage, respectively, ρ local surf is the surface local density of states evaluated at the Fermi energy, φ is the average barrier height in eV, and z is the tip-surface distance in Å. Within this model, an STM image acquired in the constant-current mode can be interpreted as contours of constant ρ local surf . Ever since the invention of the STM [2] such images have provided a wealth of information about surface structures and processes ranging from a micrometer scale down to atomic dimensions.Additional valuable information can be obtained from the decay rate of ρ local surf in the direction normal to the surface. Since this quantity depends on the local chemical nature of the surface, it may offer a way to distinguish between different surface elements/species that cannot be distinguished in a constant-current image. From (1) it is clear that ρ local surf decays with a decay constant given by the average barrier height φ. As a corresponding experimental measure, it has been generally accepted to define an apparent barrier height as φ ap = 1 1.025 d ln(I t /V t ) dz 2