The direct determination of phase invariants provided by diffraction data measured at two different temperatures

1991 ◽  
Vol 47 (5) ◽  
pp. 515-521 ◽  
Author(s):  
D. A. Langs

According to Faraday's ideas, the specific inductive capacity of a substance is due to the polarisation of the molecules as wholes. This is the basis of the old Clausius-Mosotti theory of dielectrics, on which it is shown first that the polarisation P is proportional to the polarising field, i. e. , P = k E, k being the dielectric constant, and second that δ being the density of the dielectric, k - 2/ k + 2 ·1/δ = constant. Now it is known that some substances have large negative temperature coefficients for their dielectric constants which cannot thus be accounted for. To provide for this Debye proposed the theory that the molecules were permanently polarised and that they were systematically orientated in the field. This leads to the equation k - 2/ k + 2 = a T -1 + b T -2 , to represent the change of specific inductive capacity with temperature. This theory has been developed by Gans and others, and a number of measurements have been made by Smyth and others, who have found the molecular moments of many substances by measuring the dielectric constants at different temperatures.


2004 ◽  
Vol 19 (2) ◽  
pp. 195-195
Author(s):  
A. Broadhurst ◽  
K. D. Rogers ◽  
D. W. Lane ◽  
T. W. Lowe

2005 ◽  
Vol 20 (3) ◽  
pp. 233-240
Author(s):  
A. Broadhurst ◽  
K. D. Rogers ◽  
D. W. Lane ◽  
T. W. Lowe

A direct method for determining powder diffraction data from a range of depths is described, where the linear absorption coefficient may vary with depth. A series of traditional data collections with varying angles of incidence are required, and the X-ray diffraction data arising from specific depths will be calculated by the transformation of these measured, angle-dependent spectra. These may then be analysed using any conventional method in order to gain information about characteristics of the sample in question at specific depths. Regularisation techniques have been used to solve the governing Fredholm integral equation to determine the depth-dependent diffractograms. The method has been validated by the use of simulated data having known model profiles, and has also been applied to experimental data from polycrystalline thin film samples.


The unsatisfactory state of our knowledge of the Mechanical Equivalent of Heat and, inseparably connected therewith, of the capacity for heat of water, is the more surprising when we consider the large number of physicists who have devoted their attention to this subject during the century just closed. Since the remarkable pioneer experiments of Count Rumford, undertaken just 100 years ago, to determine the nature of heat, the subject has been advanced step by step by different investigators. Conspicuous among these we may mention Begnault, who gave us the first idea of the mode of the variation of the specific heat of water with temperature, without, however, giving us any knowledge of the mechanical equivalent of heat; Joule, who gave us the first measurements of the mechanical equivalent without attempting to study the thermal unit at different temperatures; Rowtland, who by the remarkable accuracy of his experiments gave us not only a direct determination of the mechanical equivalent, but also the variation of the thermal unit over a limited range. More recently we have the exceedingly careful experiments of Miculescu, of Griffiths, of Schuster and Gannon, and of Reynolds and Moorby. It is evident from only a cursory glance at the work of these and the host of other investigators, that the science of calorimetry must he regarded as incomplete and approximate so long as its fundamental unit remains in doubt. To obtain, as is urgently needed, a complete series of determinations of the capacity for heat of water over the entire range of temperature is manifestly impossible by the older methods of calorimetry. A new method has long been required, more completely free from the influence of extraneous surrounding conditions.


1961 ◽  
Vol 41 (4) ◽  
pp. 380-384 ◽  
Author(s):  
Arthur F. Dratz ◽  
James C. Coberly
Keyword(s):  

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