Atomic Number Effect

In EDX experiments on thick samples, for example in SEM, almost all the energy of the incident electron beam is consumed to produce X-rays and the number of atoms in a sample can be calculated from the X-ray intensities in the EDX spectra, by carrying out the ZAF calibration (Z = the atomic number effect A = the absorption effect and F = the fluorescence effect) [18]. However, HRTEM specimens are usually thin, 200nm or less. In this case, most electrons in the incident beam will pass through the specimen and the ZAF calibration cannot be done. In practice, we use some standard specimens (whose compositions are known) as references to obtain a relative composition of a target sample. 

The atomic number effect that describes the fact that the incident electron beam behaves differently depending on the local composition of the sample,... 

Quantitative elemental analysis Raw data corrected for background, absorption, fluorescence and atomic number effects to produce quantitative results with accuracy of 2-3% relative to the amount present. 

For the transition metals it is often impossible to reach a noble gas structure except in covalent compounds (see effective atomic number rule) and it is found that relative stability is given by having the sub-shells (d or f) filled, half-filled or empty. 

The calculation of the surface energy of metals has been along two rather different lines. The first has been that of Skapski, outlined in Section III-IB. In its simplest form, the procedure involves simply prorating the surface energy to the energy of vaporization on the basis of the ratio of the number of nearest neighbors for a surface atom to that for an interior atom. The effect is to bypass the theoretical question of the exact calculation of the cohesional forces of a metal and, of course, to ignore the matter of surface distortion. 

This equation describes the Fourier transfonn of the scattering potential V r). It should be noted that, in the Bom approximation the scattering amplitude/(0) is a real quantity and the additional phase shift q(9) is zero. For atoms with high atomic number this is no longer tme. For a rigorous discussion on the effects of the different approximations see [2] or [5]. 

These numbers carry other chemical information. For example, z - h = x gives the oxidation state of a carbon atom. In effect, each carbon atom is classified according to its oxidation state, x, and its attachment to other carbon atoms. 

Z is tlie atomic number and cr is a shielding constant, determined as below, n is an effective principal quantum number, which takes the same value as the true principal quantum number for u = 1, 2 or 3, but for u = 4, 5, 6 has the values 3.7, 4.0, 4.2, respectively. The shielding constant is obtained as follows ... 

The effects of a rather distinct deformed shell at = 152 were clearly seen as early as 1954 in the alpha-decay energies of isotopes of californium, einsteinium, and fermium. In fact, a number of authors have suggested that the entire transuranium region is stabilized by shell effects with an influence that increases markedly with atomic number. Thus the effects of shell substmcture lead to an increase in spontaneous fission half-Hves of up to about 15 orders of magnitude for the heavy transuranium elements, the heaviest of which would otherwise have half-Hves of the order of those for a compound nucleus (lO " s or less) and not of milliseconds or longer, as found experimentally. This gives hope for the synthesis and identification of several elements beyond the present heaviest (element 109) and suggest that the peninsula of nuclei with measurable half-Hves may extend up to the island of stabiHty at Z = 114 andA = 184. 

The analysis of steady-state and transient reactor behavior requires the calculation of reaction rates of neutrons with various materials. If the number density of neutrons at a point is n and their characteristic speed is v, a flux effective area of a nucleus as a cross section O, and a target atom number density N, a macroscopic cross section E = Na can be defined, and the reaction rate per unit volume is R = 0S. This relation may be appHed to the processes of neutron scattering, absorption, and fission in balance equations lea ding to predictions of or to the determination of flux distribution. The consumption of nuclear fuels is governed by time-dependent differential equations analogous to those of Bateman for radioactive decay chains. The rate of change in number of atoms N owing to absorption is as follows ... 

In other applications of CT, orally administered barium sulfate or a water-soluble iodinated CM is used to opacify the GI tract. Xenon, atomic number 54, exhibits similar x-ray absorption properties to those of iodine. It rapidly diffuses across the blood brain barrier after inhalation to saturate different tissues of brain as a function of its lipid solubility. In preliminary investigations (99), xenon gas inhalation prior to brain CT has provided useful information for evaluations of local cerebral blood flow and cerebral tissue abnormalities. Xenon exhibits an anesthetic effect at high concentrations but otherwise is free of physiological effects because of its nonreactive nature. 

For many species the effective atomic number (FAN) or 18- electron rule is helpful. Low spin transition-metal complexes having the FAN of the next noble gas (Table 5), which have 18 valence electrons, are usually inert, and normally react by dissociation. Fach normal donor is considered to contribute two electrons the remainder are metal valence electrons. Sixteen-electron complexes are often inert, if these are low spin and square-planar, but can undergo associative substitution and oxidative-addition reactions. 

Table 5. Complexes Having Effective Atomic Numbers (EAN) of a Noble Gas ...

---