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  • 1
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 93 (1990), S. 6841-6850 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We have performed Monte Carlo simulations of a Langmuir–Hinshelwood reaction between two species A and B adsorbed on a square lattice, with the goal of determining how spatial correlations between the species vary with reaction rate. Adsorption of each species occurs when a gas-phase molecule, either A or B, impinges upon a vacant lattice site. The probability that a molecule impinges upon and adsorbs successfully into a vacant lattice site per unit time is pa/2 for both species. Desorption is not allowed and the surface reaction is allowed to occur only between nearest-neighbor AB pairs. For each nearest-neighbor AB pair, the probability of reaction per unit time is pr. A novel feature of this investigation is that we explicitly simulate the diffusion of the particles on the lattice. The particles are allowed to migrate by hopping to vacant nearest-neighbor sites, where the probability of a hop per unit time is pm. In all these simulations we have set pm to be unity, and varied pr from 0.01 to unity. We have also set pa=pr/5 for all the simulations in order to maintain moderately low fractional surface coverages. "Islanding'' of each type of particle occurs even for the lowest value of pr used, although the entire surface is never poisoned. For range of values of pr used, the "islands'' grow to a finite steady-state size. We also found that the islands that are formed are consistent with a dimension of two. A nearest-neighbor correlation function φ is defined to describe the process of islanding, and the dependence of φ upon pm/pr is studied. By studying this simple model we show that quite large inhomogeneities can be reasonably expected to occur in catalytic systems even when reaction probabilities are small compared to diffusion rates, and that these inhomogeneities affect total reaction rates.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 93 (1990), S. 9018-9025 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We have investigated the diffusion of clusters on a triangular lattice using Monte Carlo simulations. A cluster is defined as a two-dimensional collection of particles which are connected to each other, either directly or indirectly through other particles in the cluster, by nearest-neighbor bonds. Each particle is allowed to hop, with probability αδb/2/(α−δb/2+αδb/2), to a vacant nearest-neighbor site with the constraint that the hop does not break the cluster. The change in the number of bonds is given by δb. The equilibrium clusters are correlated animals with structure controlled by the parameter α. We show that the diffusion coefficient of a cluster can be decomposed into two factors. One is a measure of the weighted length of the "active'' perimeter and the other is a measure of the correlation between pairs of steps taken by the cluster during its walk. The perimeter measure is asymptotically proportional to cluster size N, as anticipated for ramified animals, but it crosses over to N1/2 dependence for smaller compact clusters with α〉1. Our focus is on the accurate determination of the size and structure dependence of the correlation factor, which is more sensitive to statistical fluctuations. As a result, we describe the scaling of the cluster diffusion coefficient with cluster size.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 90 (1989), S. 2824-2830 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A new model is presented and discussed that allows Monte Carlo simulations to be carried out with a proper energy barrier crossing. Results are presented for the surface diffusion coefficient and the growth exponent of domain ordering of a half-monolayer of adatoms experiencing nearest- and next-nearest-neighbor repulsive lateral interactions (equal in magnitude), both on a square lattice. The results are compared with those derived using both Kawasaki dynamics and a Metropolis walk. The reasons why neither of the latter methods can be expected, in general, to describe thermally excited, time-dependent phenomena are explained and discussed.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 93 (1990), S. 1418-1429 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We have employed Monte Carlo sampling to calculate the rate coefficient of a Langmuir–Hinshelwood reaction between species A and B on a square lattice. The experimental situation that is simulated is the reaction between a preadsorbed overlayer of species A with species B. The preadsorbed overlayer of A is allowed to equilibrate prior to the adsorption of B. Upon adsorption of B, the initial reaction rate is calculated assuming that A is irreversibly adsorbed and immobile, and that the equilibrium between adsorbed B and gas-phase B is established much more rapidly than the time scale of the reaction between A and B. Reaction is allowed only between nearest-neighbor AB pairs. We examine the parametrization of the reaction rate coefficient into an effective activation energy and an effective preexponential factor.We find that correlations between nearest-neighbor particles affect the reaction rate coefficient significantly. We also find that if the distribution of local configurations of nearest-neighbor pairs of reactant particles changes with temperature, the corresponding Arrhenius plot is nonlinear. The effective activation energy and the effective preexponential factor vary strongly with the fractional coverage of A and show a large compensation effect, similar to that observed experimentally in many desorption and surface-reaction systems. We conclude that variations in the distribution of local configurations of pairs of reactant molecules is a function of temperature and fractional surface coverage can be responsible for these experimentally observed compensation effects.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 92 (1990), S. 1397-1406 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Experimental results, obtained using a molecular beam reflectivity method, for the probability of molecular physical adsorption of ethane on the Ir(110)-(1×2) surface are presented. We analyze these results using Monte Carlo simulations and show that molecular adsorption can occur either "directly'' or through a precursor state in which an ethane molecule is trapped in a second layer of molecularly adsorbed ethane with subsequent migration to a vacant site. From the Monte Carlo simulations, we are able to establish that the energy barrier for the desorption of an ethane molecule from the precursor state is approximately 4.5 kcal/mol. We also find that the energy barrier for diffusion of an ethane molecule on top of a monolayer of ethane molecularly adsorbed on the Ir(110)-(1×2) surface is approximately 3.7 kcal/mol.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 32 (1991), S. 2918-2922 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Some exact results for a reversible version of the d=1+1 bridge site (or single-step) deposition model are presented. Exact steady-state properties are determined directly for finite systems with various mean slopes. These show explicitly how the asymptotic growth velocity and fluctuations are quenched as the slope approaches its maximum allowed value. Next, exact hierarchial equations for the dynamics are presented. For the special case of "equilibrium growth,'' these are analyzed exactly at the pair-correlation level directly for an infinite system. This provided further insight into asymptotic scaling behavior. Finally, the above hierarchy is compared with one generated from a discrete form of the Kardar–Parisi–Zhang equations. Some differences are described.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    Woodbury, NY : American Institute of Physics (AIP)
    Applied Physics Letters 80 (2002), S. 1364-1366 
    ISSN: 1077-3118
    Source: AIP Digital Archive
    Topics: Physics
    Notes: We present an in situ synchrotron x-ray scattering study on the thermal oxidation of epitaxial AlN/Sapphire(0001) films. During annealing to 700 °C, an epitaxial AlN film transforms progressively into a planar epitaxial γ-Al2O3 layer. The oxidation proceeds through the γ-Al2O3/AlN interfacial motion that is observed directly from the intensity fringes near the AlN(0002) Bragg reflection. The oxidation rate, deduced from the interfacial motion, exhibits repeating transitions from a linear to a parabolic oxidation behavior. This suggests that the oxide break down periodically. During the oxidation the strain in the remaining AlN reverts to the value measured at the same thickness during the growth of the AlN film. © 2002 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 8
    ISSN: 0044-2313
    Keywords: Phosphanimine ; Phosphoraneiminato Complexes of Iron ; Syntheses ; IR Spectra ; Crystal Structure ; Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Phosphanimine and Phosphoraneiminato Complexes of Iron. The Crystal Structures of [FeCl3(Me3SiNPEt3)], [FeCl2(Me3SiNPEt3)]2, [FeCl2(NPEt3)]2, and [Fe(O2C—CH3)2(NPEt3)]2The phosphanimine complexes [FeCl3(Me3SiNPEt3)] (red-orange) and [FeCl2(Me3SiNPEt3)]2 (colourless) have been prepared by reactions of Me3SiNPEt3 with FeCl3 and FeCl2, respectively, in CH2Cl2 suspensions. Thermal decomposition of these donor-acceptor complexes in boiling toluene leads to the phosphoraneiminato complex [FeCl2(NPEt3)]2 (black), whereas [Fe(O2C—CH3)2(NPEt3)]2 (brown) is formed from iron(II) acetate and Me3SiNPEt3 in boiling acetonitrile. The complexes are characterized by IR spectroscopy and by crystal structure determinations.[FeCl3(Me3SiNPEt3)] (1): Space group P21/c, Z = 8, structure determination with 4 673 unique reflections, R = 0.033. Lattice dimensions at -15°C: a = 1 607.8, b = 1 602.0, c = 1 417.2 pm, β = 106.56°. 1 forms monomeric molecules with tetrahedrally coordinated iron atoms. Bond lengths in average: Fe—N = 196.9 pm, Fe—Cl = 219.7 pm.[FeCl2(Me3SiNPEt3)]2 (2): Space group P21/c, Z = 4, structure determination with 4 992 unique reflections, R = 0.048. Lattice dimensions at 20°C: a = 1 457.9, b = 1 685.4, c = 1 507.3 pm, β = 116.74°. 2 forms dimeric molecules, which are associated by chloro bridges. The iron atoms are tetrahedrally coordinated with trans positions of the phosphanimine ligands. Both lengths in average: Fe—N = 202.2 pm, Fe—Clterminal = 224.7 pm, Fe—Clbridge = 241.0 pm.[FeCl2(NPEt3)]2 (3): Space group P21/n, Z = 2, structure determination with 2763 unique reflections, R = 0.039. Lattice dimensions at -70°C: a = 799.1, b = 1009.0, c = 1441.9 pm, β = 93.45°. 3 forms centrosymmetric dimeric molecules, in which the tetrahedrally coordinated iron atoms are associated by the nitrogen atoms of the phosphoraneiminato ligands. Bond lengths in average: Fe—N = 191.4 pm, Fe—Cl = 222.7 pm.[Fe(O2C—CH3)2(NPEt3]2 (4): Space group P21/n, Z = 2, structure determination with 3005 observed unique reflections, R = 0.034. Lattice dimensions at -65°C: a = 886.4, b = 1444.6 pm, β = 90.60°. 4 forms centrosymmetric dimeric molecules, in which the octahedrally coordinated iron atoms are associated by the nitrogen atoms of the phosphoraneiminato ligands with bond lengths Fe—N of 191.9 and 195.0 pm. The acetate groups are coordinated in a chelating fashion.
    Notes: Die Phosphanimin-Komplexe [FeCl3(Me3SiNPEt3)] (rotorange) und [FeCl2(Me3SiNPEt3)]2 (farblos) entstehen durch Reaktion von FeCl3 bzw. FeCl2 mit Me3SiNPEt3 in CH2Cl2-Suspensionen. Erhitzen dieser Donor-Akzeptorkomplexe in Toluol führt zu dem Phosphaniminatoderivat [FeCl2NPEt3)]2 (schwarz), während [Fe(O2C—CH3)2 · (NPEt3)]2 (braun) aus Eisen(II)-acetat und Me3SiNPEt3 in siedendem Acetonitril entsteht. Die Komplexe werden durch die IR-Spektren und durch Kristallstrukturanalysen charakterisiert.[FeCl3(Me3SiNPEt3)] (1): Raumgruppe P21/c, Z = 8, Strukturlösung mit 4 673 unabhängigen Reflexen, R = 0,033. Gitterkonstanten bei -15°C: a = 1 607,8; b = 1 602,0; c = 1 417,2 pm, β = 106,56°. 1 hat eine monomere Molekülstruktur mit tetraedrisch koordiniertem Eisenatom und mittleren Bindungslängen Fe—N = 196,9 pm, Fe—Cl = 219,7 pm.[FeCl2(Me3SiNPEt3)]2 (2): Raumgruppe P21/c, Z = 4, Strukturlösung mit 4 992 unabhängigen Reflexen, R = 0,048. Gitterkonstanten bei 20°: a = 1 457,9; b = 1 685,4; c = 1 507,3 pm, β = 116,74°. 2 bildet dimere, über Chlorobrücken assoziierte Moleküle mit tetraedrisch koordinierten Eisenatomen und trans-Stellung der Phosphanimin-Liganden. Mittlere Bindungslängen: Fe—N = 202,2 pm, Fe—Clterminal = 224,7 pm, Fe—ClBrücke = 241,0 pm.[FeCl2(NPEt3)]2 (3): Raumgruppe P21/n, Z = 2, Strukturlösung mit 2 763 unabhängigen Reflexen, R = 0,039. Gitterkonstanten bei -70°C: a = 799,1; b = 1 009,0; c = 1 441,9 pm, β = 93,45°. 3 bildet zentrosymmetrische dimere Moleküle, in denen die tetraedrisch koordinierten Eisenatome über die N-Atome der Phosphaniminatoliganden assoziiert sind. Mittlere Bindungslängen: Fe—N = 191,4 pm, Fe—Cl = 222,7 pm.[Fe(O2C—CH3)2(NPEt3)]2 (4): Raumgruppe P21/n, Z = 2, Strukturlösung mit 3 005 unabhängigen beobachteten Reflexen, R = 0,034. Gitterkonstanten bei -65°C: a = 886,4; b = 1 112,7; c = 1 444,6 pm; β = 90,60°. 4 bildet zentrosymmetrische dimere Moleküle, in denen die oktaedrisch koordinierten Eisenatome über die N-Atome der Phosphaniminatoliganden mit Fe—N-Abständen von 191,9 und 195,0 pm assoziiert sind. Die Acetatgruppen sind chelatartig gebunden.
    Additional Material: 6 Ill.
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  • 9
    ISSN: 0044-2313
    Keywords: Phosphoraneiminato Complexes of Manganese and Nickel ; Syntheses ; Crystal Structures ; Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Phosphoraneiminato Complexes of Manganese(II) and Nickel(II) with Heterocubane Structure. Crystal Structures of [MCl(NPEt3)]4 with M = Mn and NiThe phosphoraneiminato complexes [MCl(NPEt3)]4 with M = manganese and nickel as well as [MnBr(NPEt3)]4 are formed from the anhydrous halides MX2 and excess phosphoraneimine Me3SiNPEt3 by fusion reaction. They form paramagnetic, moisture-sensitive, orange (M = Mn) and turquoisegreen (M = Ni) crystals, respectively, which are characterized by i.r. spectroscopy and by crystal structure determinations.[MnCl(NPEt3)]4 (1): Space group C2/c, Z = 4, structure solution with 3 591 unique reflections, (2 811 〉 2σ(I)) R = 0.036. Lattice dimensions at -50°C: a = 2104.3, b = 1100.6, c = 1966.5 pm, β = 115.87°.[NiCl(NPEt3)]4 (2): Space group C2/c, Z = 4, structure solution with 2 711 unique reflections, (1611 〉 2σ(I)) R = 0.056. Lattice dimensions at -50°C: a = 2051.6, b = 1099.2, c = 1954.6 pm, β = 115.80°.1 and 2 are isostructural with one another. They form heterocubane structures in which the metal atoms are linked via μ3-N-bridges of the phosphoraneiminato groups with M4N4 bridge-type bond angles close to 90°.
    Notes: Die Phosphaniminato-Komplexe [MCl(NPEt3)]4 mit M = Mangan und Nickel sowie [MnBr(NPEt3)]4 entstehen durch Schmelzreaktion aus den wasserfreien Halogeniden MX2 und überschüssigem Phosphanimin Me3SiNPEt3. Sie bilden paramagnetische, feuchtigkeitsempfindliche, orange (M = Mn) bzw. türkisgrüne (M = Ni) Kristalle, die wir IR-spektroskopisch und durch Kristallstrukturanalysen charakterisiert haben. [MnCl(NPEt3)]4 (1): Raumgruppe C2/c, Z = 4, Strukturlösung mit 3 591 unabhängigen Reflexen, (2811 〉 2σ(I)) R = 0,036. Gitterkonstanten bei -50°C: a = 2104,3; b = 1100,6; c = 1966,5 pm, β = 115,87°.[NiCl(NPEt3)]4 (2): Raumgruppe C2/c, Z = 4, Strukturlösung mit 2 771 unabhängigen Reflexen, (1 611 〉 2σ(I)) R = 0,056. Gitterkonstanten bei -50°C: a = 2051,6; b = 1 099,2; c = 1954,6 pm, β = 115,80°.1 und 2 sind miteinander isotyp. Sie bilden Heterocuban-Strukturen, in denen die Metallatome über μ3-N-Brücken der Phosphaniminato-Gruppen verknüpft sind mit M4N4-Brückenbindungswinkeln nahe bei 90°.
    Additional Material: 3 Ill.
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  • 10
    Electronic Resource
    Electronic Resource
    Weinheim : Wiley-Blackwell
    Zeitschrift für anorganische Chemie 623 (1997), S. 962-966 
    ISSN: 0044-2313
    Keywords: Phosphorane Iminato Complexes ; Sulfur Compounds ; Crystal Structures ; Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Phosphorane Iminato Complexes of Sulfur. Crystal Structures of [S(NPEt3)3]Cl, [S(NPEt3)2]CI2 and [Me3SiOSO2NPPh3]The ionic phosphorane iminato complexes [S(NPEt3)3]Cl and [S(NPEt3)2]Cl2 are obtained as colourless, moisture sensitive crystals after reaction of Me3SiNPEt3 with disulfur dichloride from acetonitrile solutions. Both complexes, as well as the molecular complex [Me3SiOSO2NPPh3]. which is known from literature data, were characterized by crystal structure determinations.
    Notes: Die ionisch aufgebauten Phosphaniminato-Komplexe [S(NPEt3)3]Cl und [S(NPEt3)2]Cl2 entstehen als farblose, feuchtigkeitsempfindliche Kristalle nach Reaktion von Me3SiNPEt3 mit Dischwefeldichlorid in Acetonitrillösung. Beide Komplexe werden ebenso wie die literaturbekannte Molekülverbindung [Me3SiOSO2NPPh3] durch Kristallstrukturanalysen charakterisiert.
    Additional Material: 3 Ill.
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