Electronic structure energy levels

As stated earlier, the major use of UPS is not for materials analysis purposes but for electronic structure studies. There are analysis capabilities, however. We will consider these in two parts those involving the electron valence energy levels and those involving low-lying core levels accessible to UPS photon energies (including synchrotron sources). Then we will answer the question why use UPS if XPS is available ... 

Traditional electronic structure energy calculations consist of a single job. However, a calculation at a very accurate level of theory can take a very long time to complete. In an effort to achieve high accuracy results at less computational cost, several new model chemistries have been defined as a series of calculations to be run and a... 

Fig. 6.1. The electronic structure of ZnS (a) simplistic qualitative one-electron MO energy-level diagram for a ZnS4 (tetrahedral) cluster (b) simplistic one-electron band model for ZnS.

Chapter 2 the structure of the atom electromagnetic radiation the arrangement of electrons in energy levels... 

Developing a Model of Atomic Structure The Distribution of Electrons in Energy Levels MiniLab 7.1 Colored Flames— A Window into the Atom ChemLab Metals, Reaction Capacities, and Valence Electrons... 

Fig. 1.34. Structure, energy-level diagram, and electronic spectrum of Ni(OEP) [109].

At this point, we are in a position to mention two representations of band structures, energy levels and electronic populations found commonly in the CP literature, if only for purposes of knowing their significance. 

At a surface, not only can the atomic structure differ from the bulk, but electronic energy levels are present that do not exist in the bulk band structure. These are referred to as surface states . If the states are occupied, they can easily be measured with photoelectron spectroscopy (described in section A 1.7.5.1 and section Bl.25.2). If the states are unoccupied, a teclmique such as inverse photoemission or x-ray absorption is required [22, 23]. Also, note that STM has been used to measure surface states by monitoring the tunnelling current as a fiinction of the bias voltage [24] (see section BT20). This is sometimes called scamiing tuimelling spectroscopy (STS). 

The surface work fiincdon is fonnally defined as the minimum energy needed m order to remove an electron from a solid. It is often described as being the difference in energy between the Fenni level and the vacuum level of a solid. The work ftmction is a sensitive measure of the surface electronic structure, and can be measured in a number of ways, as described in section B 1.26.4. Many processes, such as catalytic surface reactions or resonant charge transfer between ions and surfaces, are critically dependent on the work ftmction. 

The interaction of the electron spin s magnetic dipole moment with the magnetic dipole moments of nearby nuclear spins provides another contribution to the state energies and the number of energy levels, between which transitions may occur. This gives rise to the hyperfme structure in the EPR spectrum. The so-called hyperfme interaction (HFI) is described by the Hamiltonian... 

Electronic structure theory describes the motions of the electrons and produces energy surfaces and wavefiinctions. The shapes and geometries of molecules, their electronic, vibrational and rotational energy levels, as well as the interactions of these states with electromagnetic fields lie within the realm of quantum stnicture theory. 

---