Theory Multiple-Field Coupling

Variation of atomic CN, pressure, and temperature relax the bond length and bond energy with an association of densification of charge, energy, and mass. Multiple fields coupling takes place in the skin region. 

Localized densification of energy by size reduction and compression contributes to the mechanical strength bond order loss and heating and softening modifies the atomic cohesive energy, both of which dominate the detectable quantities of a substance. 

The performance of the entire specimen can be viewed as the attribute of one bond averaged over all the bonds involved. 

A detectable quantity can be connected to the averaged bond and its geometric and energetic response to the externally applied stimulus such as coordination 

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In the absence of an external magnetic field, orbitally nondegenerate levels with spin multiplicity greater than 2 split due to direct electron spin—spin coupling (in first order) and spin—orbit coupling (in second and higher orders of perturbation theory). This phenomenon is called zero-field splitting (ZFS). The SH that describes this phenomenon can be formulated in... 

In general, the study of the scattered intensity by systems where multiple scattering is non-negligible is a difficult task. In order to resolve these difficulties we have used several approximations the particle size is assumed to be much smaller than the incident wavelength, so the Rayleigh dipole approximation is used to characterize the particle scattering. For the surface case, the perfect conductor approximation (PCA) ( = -go) for the substrate is applied. In both systems, the scattered field is calculated in the far-field approximation. For the purpose of this research, these approximations do not constitute serious restrictions and facilitate the numerical calculations. For real substrates (metallic or dielectric) and/or finite size particles, the main conclusions are unaffected [9]. The scattered intensity is calculated by means of the coupled dipole method (CDM) [10] for both the volume case and the surface case. In the latter, the PCA allows us to apply the image theory [11]. 

Anisotropic Glnzburg-Landau theory for coupled s-wave and d-wave order paraneters Is used to analyze the unique themo namlc and transport properties of the new La2 jj(Ba,Sr) CuO and S P ° 4uctors. This simple phenomenological approach Is used to explain the prevalence of the large Sommerfeld coefficients of the specific heat, the existence of multiple specific heat anomalies, the ultrasonic attenuation peak, and model the anisotropic critical field data as observed In oriented samples. 

Conformational energy maps for the furanosyl and pyranosyl rings of ribose and 2-deoxyribose in solution, generated with the MM3 force field, indicated the presence of several tautomers in multiple conformations for both compounds." The preferred conformations and energy pseudorotational barriers of 2-deoxy-P-D-ribofuranosylamine in protonated and unprotonated form have been established by use of ab initio molecular orbital and density functional theory calculations. Three-, two- and one-bond spin coupling constants in anhyd-... 

Since what I am proposing is that there is a vast field of unexplored research for philosophers of science to continue to pursue, 1 hope you will not expect me to provide any kind of detailed map of this terra incognita here. What I can hope to do, however, is just take up a few examples of the sort of inquiry I am proposing as it appears in a couple of the domains of inquiry noted previously. I will focus on a few examples from how science, internally, deals with its real problems of domain limitation (or lack of limitation) and how science, internally, deals with some specific issues of idealization and its consequences for understanding the place of a theory in our scheme for describing the world. 1 won t try to deal here in any detail with issues in the realm of internal science and transience or with the deep problems of how science deals internally with multiple interpretations. 

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