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  • Electrochemical oxidation  (1)
  • Random walks  (1)
  • Springer  (2)
  • American Institute of Physics
  • Copernicus
  • National Academy of Sciences
  • Wiley-Blackwell
  • 2015-2019
  • 1985-1989  (2)
  • 1955-1959
  • 1930-1934
  • 2017
  • 1989  (2)
  • 1955
Sammlung
Verlag/Herausgeber
  • Springer  (2)
  • American Institute of Physics
  • Copernicus
  • National Academy of Sciences
  • Wiley-Blackwell
Erscheinungszeitraum
  • 2015-2019
  • 1985-1989  (2)
  • 1955-1959
  • 1930-1934
Jahr
  • 2017
  • 1989  (2)
  • 1955
  • 1
    Digitale Medien
    Digitale Medien
    Springer
    Journal of theoretical probability 2 (1989), S. 121-128 
    ISSN: 1572-9230
    Schlagwort(e): Random walks ; cover times ; graphs ; infinite graphs ; trees
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract This article deals with random walks on arbitrary graphs. We consider the cover time of finite graphs. That is, we study the expected time needed for a random walk on a finite graph to visit every vertex at least once. We establish an upper bound ofO(n 2) for the expectation of the cover time for regular (or nearly regular) graphs. We prove a lower bound of Ω(n logn) for the expected cover time for trees. We present examples showing all our bounds to be tight.
    Materialart: Digitale Medien
    Standort Signatur Erwartet Verfügbarkeit
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  • 2
    ISSN: 1572-879X
    Schlagwort(e): Electrochemical oxidation ; alkenoic acids on platinum
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Chemie und Pharmazie
    Notizen: Abstract Studies of the electrochemical oxidation of a series of straight-chain terminal alkenoic acids adsorbed at a Pt(111) electrode surface are reported. Compounds adsorbed were: propenoic acid (acrylic acid, PPA); 3-butenoic acid (vinylacetic acid, 3BTA); 4-pentenoic acid (allylacetic acid, 4PTA); 6-heptenoic acid (6HPA); and 10-undecenoic acid (10UDA). Vibrational spectra of adsorbed layers were obtained by use of electron energy-loss spectroscopy (EELS). Molecular packing densities were measured by use of Auger spectroscopy. Electrochemical oxidation of each adsorbed layer was explored by means of cyclic voltammetry in aqueous inert electrolyte (KF/HF). As the analogous aliphatic acids are not chemisorbed at Pt under the same conditions, the alkenoic acids evidently adsorb at Pt(111) predominantly through the C=C double bond. Molecular packing densities indicate that the carboxylic acid moiety is in contact with the Pt surface only in the case of PPA. EELS spectra also indicate that the carboxylate groups (other than in PPA) are present as pendants. The carboxylic acid O-H stretching bands of most of the adsorbed acids are red-shifted and broadened, evidently due to extensive intermolecular hydrogen bonding; the exceptions are PPA, for which the interaction is primarily with the Pt surface, and 3BTA, for which intermolecular interaction between the carboxylic acid pendants is apparently prevented by steric considerations. The surface-attached carboxylic acid moieties react with KOH solution, leading to retention of K+ ions, detected by Auger spectroscopy, and to changes in the vibrational spectra indicative of carboxylate anions; reactivity toward KOH decreases with chain length. Adsorbed alkenoic acids at Pt(111) surfaces are stable in water and in vacuum. Oxidation of the adsorbed short-chain acids PPA and 3BTA proceeds to completion, forming CO2 as the principal product. Oxidation of the adsorbed long-chain acids converts the C=C moiety to 2CO2, and transforms the remainder of the molecule to an unadsorbed diacid (likely possibilities are malonic acid from 4PTA; glutaric acid from 6HPA; and heptane-1,7-dioic acid from 10UDA).
    Materialart: Digitale Medien
    Standort Signatur Erwartet Verfügbarkeit
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