Explicit functions are widely used to interpolate, extrapolate, and differentiate theoretical or experimental data on the equation of state ͑EOS͒ of a solid. We present two EOS functions which are theoretically motivated. The simplest realistic model for a simple metal, the stabilized jellium ͑SJ͒ or structureless pseudopotential model, is the paradigm for our SJEOS. A simple metal with exponentially overlapped ion cores is the paradigm for an augmented version ͑ASJEOS͒ of the SJEOS. For the three solids tested ͑Al, Li, Mo͒, the ASJEOS matches all-electron calculations better than prior equations of state. Like most of the prior EOS's, the ASJEOS predicts pressure P as a function of compressed volume v from only a few equilibrium inputs: the volume v 0 , the bulk modulus B 0 , and its pressure derivative B 1. Under expansion, the cohesive energy serves as another input. A further advantage of the new equation of state is that these equilibrium properties other than v 0 may be found by linear fitting methods. The SJEOS can be used to correct B 0 and the EOS found from an approximate density functional, if the corresponding error in v 0 is known. We also ͑a͒ estimate the typically small contribution of phonon zero-point vibration to the EOS, ͑b͒ find that the physical hardness Bv does not maximize at equilibrium, and ͑c͒ show that the ''ideal metal'' of Shore and Rose is the zero-valence limit of stabilized jellium.
When low-energy electrons strike a titanium dioxide surface, they may cause the desorption of surface oxygen. Oxygen vacancies that result from irradiating a TiO2(011)-2x1 surface with electrons with an energy of 300 electron volts were analyzed by scanning tunneling microscopy. The cross section for desorbing oxygen from the pristine surface was found to be 9 (+/-6) x 10(-17) square centimeters, which means that the initial electronic excitation was converted into atomic motion with a probability near unity. Once an O vacancy had formed, the desorption cross sections for its nearest and next-nearest oxygen neighbors were reduced by factors of 100 and 10, respectively. This site-specific desorption probability resulted in one-dimensional arrays of oxygen vacancies.
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