Multilayer relaxation of Cu(210) surface has been studied by layer-doubling low energy electron diffraction (LEED) analysis and pseudopotential density functional theory (DFT) calculations. An excellent agreement between the calculated and measured $I-V$ curves has been achieved as judged by direct inspection and a small Pendry R factor of 0.12. We suggest that the layer-doubling method is a suitable choice for quantitative LEED structural studies on high-index metal surfaces with interlayer spacings down to 0.8 Å. Our pseudopotential DFT calculations have reproduced the relaxation sequence determined by the layer-doubling LEED analysis, i.e., $-$ $-$ $+$ $\cdot \cdot \cdot ,$ with the largest quantitative discrepancy of about 0.04 Å. Comparison is made with LEED and DFT studies on other high-index Cu surfaces. Based on this comparison, a general trend for multilayer relaxations of open metal surfaces is proposed.

• Received 15 April 2003

DOI:https://doi.org/10.1103/PhysRevB.68.115420