# ALBERT

## All Library Books, journals and Electronic Records Telegrafenberg

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• Polymer and Materials Science  (4)
• AMS 65D  (1)
• Analytical Chemistry and Spectroscopy  (1)
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• 1
Electronic Resource
Springer
Numerical algorithms 3 (1992), S. 235-244
ISSN: 1572-9265
Keywords: AMS 65D ; 33C ; Neumann series ; Bessel functions ; Padé approximation
Source: Springer Online Journal Archives 1860-2000
Topics: Computer Science , Mathematics
Notes: Abstract LetJ n (z) be the Bessel function of the first kind and ordern, and letf(z) be an analytic function in|z|≤r (r〉0); then it is known that the Bessel expansion $$f(z) = \sum\limits_{n = 0}^\infty {a_n J_n (z) (Neumann series)}$$ converges for|z|≤r. In this paper, we shall be concerned with the construction of “approximating” functions to (1) which are easily computable (rational functions). Namely, making use of the generating function for the family {J n (z)}, a rational functionf k (z) with prescribed poles can be obtained such thatf k (z) “approximates” tof(z) in the following sense: $$f_k (z) = \sum\limits_{n = 0}^\infty {\bar a_n J_n (z)} with \bar a_n = a_n , n = 0,1,...,k - 1;$$ and it will be said thatf k is an “approximant” of orderk. When orthogonality conditions with respect to a linear functional defined from the sequence {a n} are used, then the order of approximation may be increased up to2k. An algebraic approach of these approximants is carried out.
Type of Medium: Electronic Resource
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• 2
Electronic Resource
Chichester [u.a.] : Wiley-Blackwell
Surface and Interface Analysis 21 (1994), S. 537-545
ISSN: 0142-2421
Keywords: Chemistry ; Polymer and Materials Science
Source: Wiley InterScience Backfile Collection 1832-2000
Topics: Physics
Notes: A general expression for the energy and angular distribution of Auger/photoelectrons emitted from a specimen with an arbitrary depth profile is presented. The central quantities in this expression are the so-called partial escape distributions, which describe the probability that a signal electron generated in a certain depth interval escapes from the surface with a direction in a certain angular interval after experiencing a certain number of inelastic scattering processes. The partial escape distributions accounting for elastic scattering are calculated in the transport approximation. Comparison of analytical calculations with Monte Carlo data based on the more relastic Mott crosssection for elastic scattering yields excellent agreement. As an illustration of the general approach, the energy/angular spectrum of a sample with a model depth profile has been evaluated using analytical calculations and Monte Carlo data. The results obtained show that the proposed formalism properly accounts for elastic and inelastic processes and correctly predicts the shape of the energy distribution in the vicinity of the peak. It is, moreover, shown that the true intrinsic spectrum and depth profile may be reconstructed simultaneously from the measured energy/angular distribution of emitted electrons.
Additional Material: 6 Ill.
Type of Medium: Electronic Resource
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• 3
Electronic Resource
Chichester [u.a.] : Wiley-Blackwell
Surface and Interface Analysis 22 (1994), S. 79-83
ISSN: 0142-2421
Keywords: Chemistry ; Polymer and Materials Science
Source: Wiley InterScience Backfile Collection 1832-2000
Topics: Physics
Notes: Reflection electron energy loss spectroscopy (REELS) spectra for Al, Ni, Pt and Au were measured in the energy range 300-1500 eV for different scattering geometries. The energy dependence of the loss spectra was found to depend strongly on the shape and the magnitude of the elastic scattering cross-section. This effect is extremely pronounced in the angle-resolved spectra, but also persists in the angle-integrated case. It was moreover observed that the relative intensities of the surface excitations in REELS spectra exhibit a similar dependence on the elastic scattering properties. These experimental observations are in good agreement with MC calculations accounting for elastic scattering through the differential Mott cross-section and demonstrate that quantitative information regarding the inelastic scattering probability can only be extracted from REELS spectra if the exact shape of the elastic scattering cross-section is accounted for and a quantitative description of surface excitations is available.
Additional Material: 5 Ill.
Type of Medium: Electronic Resource
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• 4
Electronic Resource
New York, NY : Wiley-Blackwell
ISSN: 0951-4198
Keywords: Chemistry ; Analytical Chemistry and Spectroscopy
Source: Wiley InterScience Backfile Collection 1832-2000
Topics: Physics
Notes: New methods are presented for the evaluation of ion structures and fragmentation pathways using tandem mass spectrometry (MS/MS) with low energy collision-induced dissociation. As an aid for mass spectroscopists, they incorporate a PC software package (named PDNL, written in Turbo-PASCAL 5.5 (Borland), running under DOS (Microsoft) with mouse-control). A database of almost 300 low energy MS/MS spetra is available for library searches. It utilizes a new, intensity-based matching algorithm fitting to the demand of MS/MS data. Computational methods have been developed for (i) the separation of the spectra of unresolved isobaric ions and evaluation of the ratio of the ion abundances, (ii) the evaluation of single-collision spectra using the multi-collisional data map, and (iii) the elucidation of collision-induced dissociation fragmentation pathways. Principal component analyses of sets of at least eight MS/MS spectra were used for a quick comparison of these spectra and for a summary of inter-ion relationships.
Additional Material: 6 Ill.
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• 5
Electronic Resource
Hoboken, NJ : Wiley-Blackwell
ISSN: 0021-9304
Keywords: Chemistry ; Polymer and Materials Science
Source: Wiley InterScience Backfile Collection 1832-2000
Topics: Medicine , Technology
Notes: Human fibroblasts cultured for 10 days in a collagen sponge migrated through the pores of the sponge and expressed a moderate mitotic activity, which stabilized after 10 days, and a high collagen and protein synthesis. Between 10 and 27 days, the newly synthesized collagen filled the pores of the sponge. This matrix accumulation induced a delayed decrease of collagen and protein synthesis. Finally, after 27 days of culture, the fibroblasts expressed low bio-synthetic activities similar to the ones exhibited in vivo. The newly synthesized matrix was highly differentiated, as shown by the presence of a dense network of quarter-staggered collagen fibrils (42 nm ± 6 nm in diameter) surrounding the cells. The size and the shape of these fibrils demonstrated that the newly synthesized procollagen was fully processed in collagen by removal of their N- and C-terminal propeptides. Moreover, these fibrils were packed in bundles organized into an interwoven network that mimics the pattern of the papillary dermis. These findings show that fibroblasts cultured for one month in a collagen sponge construct large amounts of a highly differentiated connective tissue. © 1996 John Wiley & Sons, Inc.
Additional Material: 6 Ill.
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• 6
Electronic Resource
Weinheim : Wiley-Blackwell
Chemie Ingenieur Technik - CIT 63 (1991), S. 68-71
ISSN: 0009-286X
Keywords: Chemistry ; Polymer and Materials Science
Source: Wiley InterScience Backfile Collection 1832-2000
Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
Additional Material: 5 Ill.
Type of Medium: Electronic Resource
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