SOME EXPERIMENTAL DIFFICULTIES ENCOUNTERED IN THE APPLICATION OF X-RAY DIFFRACTOMETER MEASUREMENTS TO THE MATRIX METHOD OF R. DIAMOND FOR THE DETERMINATION OF CRYSTALLITE SIZE DISTRIBUTIONS IN TURBOSTRATIC CARBONS

1963 ◽  
pp. 507-515
Author(s):  
H.A. MCKINSTRY ◽  
M.A. SHORT
Keyword(s):  
Crystallite Size ◽  
Matrix Method ◽  
Size Distributions ◽  
X Ray ◽  
The Matrix

Lateral resolution of the electron microbeam analysis

1978 ◽  
Vol 36 (1) ◽  
pp. 542-543
Author(s):  
H.J. Dudek
Keyword(s):  
Quantitative Analysis ◽  
Depth Resolution ◽  
Lateral Resolution ◽  
Cylindrical Particle ◽  
Correction Procedure ◽  
X Ray ◽  
Element Concentrations ◽  
Microbeam Analysis ◽  
The Matrix

The chemical inhomogenities in modern materials such as fibers, phases and inclusions, often have diameters in the region of one micrometer. Using electron microbeam analysis for the determination of the element concentrations one has to know the smallest possible diameter of such regions for a given accuracy of the quantitative analysis.In th is paper the correction procedure for the quantitative electron microbeam analysis is extended to a spacial problem to determine the smallest possible measurements of a cylindrical particle P of high D (depth resolution) and diameter L (lateral resolution) embeded in a matrix M and which has to be analysed quantitative with the accuracy q. The mathematical accounts lead to the following form of the characteristic x-ray intens ity of the element i of a particle P embeded in the matrix M in relation to the intensity of a standard S

The Use of the Pseudo-Voigt Function in the Variance Method of X-ray Line-Broadening Analysis

1997 ◽  
Vol 30 (4) ◽  
pp. 427-430 ◽  
Author(s):  
F. Sánchez-Bajo ◽  
F. L. Cumbrera
Keyword(s):  
Crystallite Size ◽  
Original Form ◽  
Line Broadening ◽  
X Ray Diffraction ◽  
Stabilized Zirconia ◽  
X Ray ◽  
Variance Method ◽  
The Mean ◽  
Voigt Function

A modified application of the variance method, using the pseudo-Voigt function as a good approximation to the X-ray diffraction profiles, is proposed in order to obtain microstructural quantities such as the mean crystallite size and root-mean-square (r.m.s.) strain. Whereas the variance method in its original form is applicable only to well separated reflections, this technique can be employed in the cases where there is line-profile overlap. Determination of the mean crystallite size and r.m.s. strain for several crystallographic directions in a nanocrystalline cubic sample of 9-YSZ (yttria-stabilized zirconia) has been performed by means of this procedure.

Determination of the alloying content in the matrix of Zr alloys using synchrotron radiation microprobe X-ray fluorescence

2003 ◽  
Vol 321 (2-3) ◽  
pp. 221-232 ◽  
Author(s):  
A Yilmazbayhan ◽  
O Delaire ◽  
A.T Motta ◽  
R.C Birtcher ◽  
J.M Maser ◽  
...  
Keyword(s):  
Synchrotron Radiation ◽  
X Ray ◽  
The Matrix ◽  
Zr Alloys

ANALYSIS OF SOLDERS ON TIN AND LEAD BASES BY X-RAY FLOORESCENT SPECTROSCOPY

2021 ◽  
pp. 124-131
Author(s):  
A.V. Alekseev ◽  
◽  
G.V. Orlov ◽  
P.S. Petrov ◽  
A.V. Slavin ◽  
...  
Keyword(s):  
Emission Spectroscopy ◽  
High Resolution Mass Spectrometry ◽  
Analytical Signal ◽  
Atomic Emission ◽  
Standard Samples ◽  
X Ray ◽  
Fundamental Parameters ◽  
The Matrix ◽  
Resolution Mass

The determination of the elements Cu, Ni, Sb, Bi, Pb, Zn and Fe in the tin-based solder VPr35, as well as the elements Sn, Ni, Sb, Bi and In in the lead-based VPr40 solder by the method of х-ray fluorescence spectroscopy has been carried out. The calibration dependences are corrected taking into account the superposition of signals from interfering elements on the analytical signal and changes in intensity caused by inter-element influences in the matrix. The analysis was carried out by the method of fundamental parameters without using standard samples. The correctness of the results obtained was confirmed by their comparative analysis by atomic emission spectroscopy and high-resolution mass spectrometry with a glow discharge.

Determination of the Force Constants of Non-linear XY2 Molecules in the Gas-Phase by the GF Matrix Method

2004 ◽  
Vol 59 (9) ◽  
pp. 621-622 ◽  
Author(s):  
Fatih Ucun ◽  
Vesile Gūçlü
Keyword(s):  
Gas Phase ◽  
Condensed Phase ◽  
Matrix Method ◽  
Solid Phase ◽  
Force Constants ◽  
Matrix Solution ◽  
The Matrix ◽  
Newton Raphson ◽  
Raphson Method

The force constants of the internal coordinates of nonlinear XY2 molecules in the gas-phase were calculated by using the GF matrix method. The matrix solution was carried out by means a computer program built relative to the Newton-Raphson method and the calculations were listed in a table. The force constants of some molecules in the liquidand solid- phase were also found and compared with these ones, and it was seen that the force constants for more condensed phase are lower as in an agreement with having its lower frequency.

Determination of Fiber Size Distributions of Injection Moulded Polypropylene/Natural Fibers Using X-ray Microtomography

2008 ◽  
Vol 10 (1-2) ◽  
pp. 126-130 ◽  
Author(s):  
A. Alemdar ◽  
H. Zhang ◽  
M. Sain ◽  
G. Cescutti ◽  
J. Müssig
Keyword(s):  
Natural Fibers ◽  
Size Distributions ◽  
X Ray ◽  
Fiber Size
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