Vergleichende röntgenographische und elektronenmikroskopische untersuchungen der grösse von guinier-preston-zonen in aluminium-silber

Baur, Reinhold; Gerold, V.

doi:10.1016/0001-6160(64)90132-4

Cited by 42 publications

(12 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The actual constants of such a function can be evaluated from the measured intensity. The pro-cedures of Roess & Shull (1947), Hosemann (1951), Mittelbach (1965), Baur & Gerold (1964), Nau & Briickner (1971), Sjrberg (1974), Ple~til & Baldrian (1976) belong to this group. The application of this method is comparatively simple but a serious disadvantage is the necessity of the a priori assumption of the form of the distribution function.…”

Section: Introductionmentioning

confidence: 95%

“…In numerous small-angle X-ray scattering studies of polydisperse systems of particles a simple distribution function containing only a few constants is assumed for N(D) (Roess & Shull, 1947;Hosemann, 1951;Mittelbach, 1965;Baur & Gerold, 1964;Nau & Brfickner, 1971;Sj6berg, 1974;Ple~til & Baldrian, 1976). The actual constants of such a function can be determined by means of structural parameters obtainable from small-angle X-ray scattering data.…”

Section: Determination Of the Particle Size Distribution From Small-amentioning

confidence: 99%

“…If it is assumed that the particles are homogeneous spheres, from each structural parameter an average radius R~ (i = d,lf, v,G) of the spheres can be obtained (Porod, 1967). It has been shown (Baur & Gerold, 1964) that the average radii Ri are associated with certain ratios of various moments of the size distribution. Thus, it can be written (Sj6berg, 1974)…”

Section: Determination Of the Particle Size Distribution From Small-amentioning

confidence: 99%

See 2 more Smart Citations

Particle size distribution from small-angle X-ray scattering data

Walter¹,

Kranold²,

Gerber³

et al. 1985

J Appl Cryst

View full text Add to dashboard Cite

An improved transform technique has been developed [Gerber (1983). Thesis, Wilhelm‐Pieck‐University Rostock, German Democratic Republic] for calculating the particle size distribution N(R) for spherical particles with radii R from small‐angle X‐ray scattering data. This method permits N(R) to be calculated from analytical expressions that were derived for point collimation and for infinitely long slit collimation. A special procedure has been introduced in order to reduce termination errors. The technique described and those developed by Schmidt [Brill, Weil & Schmidt (1968). J. Colloid Interface Sci.27, 479–492], Vonk [J. Appl. Cryst. (1976), 9, 433–440] and Glatter [J. Appl. Cryst. (1980), 13, 7–11] were used for calculating particle size distributions from theoretical scattering curves and from an experimental scattering curve of suspended SiO2 particles (Ludox). The results obtained by the different techniques were compared, and reasonable results are given by all methods employed. The accuracy of the size distributions calculated by the improved method is somewhat higher than that obtained by Schmidt's transform technique. With Glatter's procedure, the deviations from the exact distributions are comparable to those from this improved transform technique, but the use of Glatter's program requires a large computer, whereas the new method has the advantage of being suitable for a small computer. Vonk's program also requires a large computer, and the deviations obtained are larger than those produced by other methods. The experimental scattering curve of the Ludox sample was also evaluated by assuming a log‐normal distribution for the particles. The parameters μ and σ of this function were determined from a set of small‐angle X‐ray scattering structural parameters. The resulting log‐normal distribution is significantly different from the size distribution calculated by our method.

show abstract

Section: Introductionmentioning

confidence: 95%

Section: Determination Of the Particle Size Distribution From Small-amentioning

confidence: 99%

Section: Determination Of the Particle Size Distribution From Small-amentioning

confidence: 99%

See 1 more Smart Citation

Particle size distribution from small-angle X-ray scattering data

Walter¹,

Kranold²,

Gerber³

et al. 1985

J Appl Cryst

View full text Add to dashboard Cite

show abstract

“…Basically, there are three methods of evaluating N(d). The first one assumes a simple distribution function for N(d) that contains only a few parameters, which can be evaluated from the measured intensity (Baur & Gerold, 1964). The second one determines N(d) by numerical analysis methods without any assumption as to the form of the distribution (Vonk, 1976;Glatter, 1977;Svergun et al, 1988).…”

Section: Catalystsmentioning

confidence: 99%

Small-Angle Scattering of Heterogeneous Catalysts

Benedetti¹

1997

J Appl Cryst

View full text Add to dashboard Cite

A heterogeneously catalyzed reaction involves the adsorption of the reactants on the surface of the catalyst. Consequently, catalytic activity is usually strongly related to the microstructural features of the catalyst. Small-angle scattering (SAS) has been extensively used to study heterogeneous catalysts and it has been shown to provide useful information about the specific surface of the active phases. In particular, the majority of the research has dealt, and still deals, with supported metal catalysts, which are three-phase systems (support, voids and metal). Several attempts have been made experimentally and theoretically to overcome this problem and to obtain values for the three surface areas. In the first part of the paper, earlier results and recent approaches will be reviewed in order to give a general picture of the problem. In the second part, some recent results on other kinds of heterogeneous catalysts, such as sulfated zirconia, with strongly acidic properties, and functionalized silicas, will be discussed. Knowledge of the degree of smoothness of the particles (angularity) and thickness of the organic films obtained by SAS experiments can be very useful in clarifying morphological aspects of these porous systems.

show abstract

“…It is also possible to obtain the size distribution of the heterogeneities starting from the classical SAXS parameters, i.e. Guinier and Porod radii, expressed as ratios of moments of a selected distribution function [4]. The most common approximation encountered in literature is the 12-normal one [5].…”

Section: Introductionmentioning

confidence: 99%