The adsorption and reaction of formic acid (HCOOH) on clean and atomic oxygen‐covered Au(997) surfaces were studied by temperature‐programmed desorption/reaction spectroscopy (TPRS) and X‐ray photoelectron sp...The adsorption and reaction of formic acid (HCOOH) on clean and atomic oxygen‐covered Au(997) surfaces were studied by temperature‐programmed desorption/reaction spectroscopy (TPRS) and X‐ray photoelectron spectroscopy (XPS). At 105 K, HCOOH molecularly adsorbs on clean Au(997) and interacts more strongly with low‐coordinated Au atoms at (111) step sites than with those at (111) terrace sites. On an atomic oxygen‐covered Au(997) surface, HCOOH reacts with oxygen at‐oms to form HCOO and OH at 105 K. Upon subsequent heating, surface reactions occur among ad‐sorbed HCOO, OH, and atomic oxygen and produce CO2, H2O, and HCOOH between 250 and 400 K. The Au(111) steps bind surface adsorbates more strongly than the Au(111) terraces and exhibit larger barriers for HCOO(a) oxidation reactions. The surface reactions also depend on the relative coverages of co‐existing surface species. Our results elucidate the elementary surface reactions between formic acid and oxygen adatoms on Au surfaces and highlight the effects of the coordina‐tion number of the Au atoms on the Au catalysis.展开更多
We investigate the Schr6dinger equation for a particle with a nonuniform solitonic mass density. First, we discuss in extent the (nontrivial) position-dependent mass V(x) = 0 case whose solutions are hypergeometri...We investigate the Schr6dinger equation for a particle with a nonuniform solitonic mass density. First, we discuss in extent the (nontrivial) position-dependent mass V(x) = 0 case whose solutions are hypergeometric functions in tanh2 x. Then, we consider an external hyperbolic-tangent potential. We show that the effective quantum mechanical problem is given by a Heun class equation and find analytically an eigenbasis for the space of solutions. We also compute the eigenstat, es for a potential of the form V (x) = Vo sinh2 z.展开更多
基金supported by the National Basic Research Program of China (973 Program, 2013CB933104)the National Natural Science Foundation of China (21525313, 20973161, 21373192)+1 种基金the Fundamental Research Funds for the Central Universities (WK2060030017)Collaborative In-novation Center of Suzhou Nano Science and Technology~~
文摘The adsorption and reaction of formic acid (HCOOH) on clean and atomic oxygen‐covered Au(997) surfaces were studied by temperature‐programmed desorption/reaction spectroscopy (TPRS) and X‐ray photoelectron spectroscopy (XPS). At 105 K, HCOOH molecularly adsorbs on clean Au(997) and interacts more strongly with low‐coordinated Au atoms at (111) step sites than with those at (111) terrace sites. On an atomic oxygen‐covered Au(997) surface, HCOOH reacts with oxygen at‐oms to form HCOO and OH at 105 K. Upon subsequent heating, surface reactions occur among ad‐sorbed HCOO, OH, and atomic oxygen and produce CO2, H2O, and HCOOH between 250 and 400 K. The Au(111) steps bind surface adsorbates more strongly than the Au(111) terraces and exhibit larger barriers for HCOO(a) oxidation reactions. The surface reactions also depend on the relative coverages of co‐existing surface species. Our results elucidate the elementary surface reactions between formic acid and oxygen adatoms on Au surfaces and highlight the effects of the coordina‐tion number of the Au atoms on the Au catalysis.
文摘We investigate the Schr6dinger equation for a particle with a nonuniform solitonic mass density. First, we discuss in extent the (nontrivial) position-dependent mass V(x) = 0 case whose solutions are hypergeometric functions in tanh2 x. Then, we consider an external hyperbolic-tangent potential. We show that the effective quantum mechanical problem is given by a Heun class equation and find analytically an eigenbasis for the space of solutions. We also compute the eigenstat, es for a potential of the form V (x) = Vo sinh2 z.