Inner orbitals

X-ray Electromagnetic radiation of wave length c. 1 k. X-rays are generated in various ways, including the bombarding of solids with electrons, when they are emitted as a result of electron transitions in the inner orbits of the atoms bombarded. Each element has a characteristic X-ray spectrum. 

Split-Valence Basis Sets. In split-valence basis sets, inner or core atomic orbitals ar e represented by one basis function and valence atomic orbitals are represented by two. The carbon atom in methane is represented by one Is inner orbital and 2(2s, 2pj., 2py, 2pj) = 8 valence orbitals. Each hydrogen atom is represented by 2 valence orbitals hence, the number of orbitals is... 

The electron is the lightweight particle that "orbits" outside of the atomic nucleus. Chemical bonding is essentially the interaction of electrons from one atom with the electrons of another atom. The magnitude of the charge on an electron is equal to the charge on a proton. Electrons surround the atom in pathways called orbitals. The inner orbitals surrounding the atom are spherical but the outer orbitals are much more complicated. 

We refer to such a basis set as a double zeta basis set. Where the minimal basis set for atomic lithium had a 1 s exponent of 2.6906, the double zeta basis set has two Is orbitals with exponents 2.4331 and 4.5177 (the outer and inner orbitals). 

The complex cyanides of transition metals, especially the iron group, are very stable in aqueous solution. Their high co-ordination numbers mean the metal core of the complex is effectively shielded, and the metal-cyanide bonds, which share electrons with unfilled inner orbitals of the metal, may have a much more covalent character. Single electron transfer to the ferri-cyanide ion as a whole is easy (reducing it to ferrocyanide, with no alteration of co-ordination), but further reduction does not occur. 

The effect of inner orbital splitting on the thermodynamic properties of transition metal compounds and coordination complexes. P. George and D. S. McClure, Prog. Inorg. Chem., 1959,1, 381-463 (36). 

The 3s and 3p orbitals of Mg+ have been expanded upon all the GTO employed for the inner orbitals plus other 5 GTO whose orbital exponents were optimized for... 

Photoelectric Effect—An attenuation process observed for x and gamma radiation in which an incident photon interacts with a tightly bound inner orbital electron of an atom delivering all of its energy to knock the electron out of the atom. The incident photon disappears in the process. 

As the atomic number increases, so does the positive charge of the nucleus, and the electrons are bound with a higher energy. However, this increase is not linear. For example, the electrons in the d orbital of the third shell have a higher energy than those in the s orbital of the fourth shell, and hence the latter are filled first. The consequence is the unexpected behavior of the first ten transition elements. In the case of the actinides and lanthanides, even more inner orbitals are occupied. Nature is not so simple, but the scheme should help to visualize this complex structure. And if one can assign the electrons of an element, one is a step closer to successfully unraveling the mysteries of the Periodic Table. 

We have though previously expressed our reservations (10, 11) concerning the combination of ft and ft data for the derivation of a2 and (ZjZ0). Thus, whereas the repulsion parameter, B, is essentially an outer radial quantity (82, 83) the spin-orbit coupling constant, , is dominantly an inner orbital function (84). Moreover the (ZjZo) values derived in most cases indicate a rather small measure of central field covalency. Nevertheless, the a2 values obtained tend to parallel the mm rather than the a 0ot values, especially as the extent of covalency increases from the M(IV) to M(V) to M(VI) series, thus suggesting that flroot values may be too large. On the other hand the values are likely... 

For a ds ion such as Fe3+, the five electrons may be unpaired in the set of five d orbitals, or they may be present as two orbitals occupied by pairs of electrons and one orbital having single occupancy. A complex such as [Fe(H20)s]3+ is typical of the first bonding mode (five unpaired electrons, high spin, outer orbital), whereas [Fe(CN)6]3 is typical of the second (one unpaired electron, low spin, inner orbital). Three orbitals can accommodate six electrons, so a d6 ion such as Co3+ should form two... 

The paper is organized as follows we first discuss vibrational excitation through various mechanisms, including ionization, / -dependent depletion, and bond-softening. We then present evidence for electronic excitation and consider multiphoton excitation, inner orbital ionization, and excitation through recollisions. Several applications of these interactions are presented, followed by our conclusions. 

Important aspects of the interaction of strong laser fields with molecules can be missed in standard TOF experiments, most notably the population of electronically excited states. However, by studying vibrational excitation, the frequency and dephasing of the vibrational motion can be used to identify the electronic state undergoing the vibrational motion. In some cases, this turns out to be a ground state, and in others, an excited state. Once we have identified an excited state, we are left with the question of how and why the state was populated by the strong field. In one example above (the Ij A state discussed in Sect. 1.3.3), the excited state is formed by the removal of an inner orbital electron, in this case a iru electron. This correlates with the measured angular dependence for the ionization to this state. 

Individual X-ray photons, 127 Induced birefringence, 89 Inner shell ionization, 123, 124 Inner-orbital ionization, 15 InP, 52... 

When we say that two atoms interact, we mean that the outer electrons on the two atoms respond to each other. The electrons within the inner orbitals are buried too deeply within the atom to be available for interactions or bonding. We indicate this situation by saying the electrons that interact reside within the frontier orbitals. 

Electron capture is a process by which one of the inner-orbital electrons is captured by the nucleus. 

George, J. W., Halides and Oxyhalides of the Elements of Groups Vb and Vlb George, Philip and McClure, Donald S., The Effect of Inner Orbital Splitting on the Thermodynamic Properties of Transition Metal Compounds, and 2 33... 

Table Al.l Electronic configuration of the elements. Elements in square brackets (e.g., [He]) imply that the electronic configurations of the inner orbitals are identical to those of the element in brackets. Thus silver (Ag, atomic number 47) has a configuration of [Kr]4(7105 1, which if written out in full would be s22s22p62s22p62d1QAs1Ap6Adw5>s1, giving 47 electrons in all. For the heavier elements (atomic number above 55), the alternative notation K, L, M is used to denote the inner shells corresponding to orbitals 1, 2 and 3 respectively. This notation is common in X-ray spectroscopy (see p. 33). (Adapted from Lide, 1990.)...

In XRF, an X-ray beam or gamma rays are used to displace electrons from the inner orbitals of elements. When electrons fall into these orbitals, replacing the removed electrons, photons of specific wavelengths and energy are emitted, detected, and measured to determine which elements are present. The X-rays used in XRF do not penetrate deeply and so elements on the surface of the sample are measured, while those in the interior may not be detected [3],... 

A—The Is orbital is not filled. One indication of excited states is to have one or more inner orbitals unfilled. 

An excited atom (by thermal or electrical means) has its electrons migrate from inner orbitals (specifically valence electrons) to outer orbitals,... 

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