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              Actinide Elements                                                                           221

              these delocalized or itinerant 5 f electrons are involved  most cases notoriously difficult. Therefore, data on physi-
              in the metallic bonding as a part of the conduction band  cal properties of the actinide metals are very limited. Data
              formed together with the 6d and 7s electrons. The band  on selected physical and thermodynamic properties are
              character of the delocalized 5 f electrons is inhibitory to  presented in Table V.
              the development of magnetism. Within the framework of  Proceeding along the 5 f series, the high melting points
              a simple model of the metallic bond, the metal is an array  of Th and Pa reflect their transition metal character, Np
              of ions held together by quasi-free conduction electrons,  and Pu have very low melting points due to f -orbital re-
              and a metallic valence can be defined as the contribution  flection, the melting points rise over Am to Cm, and they
              of outer electrons each atom gives to the “sea” of bonding  then again decrease. The maximum at Cm reflects both its
              conduction electrons. Conversely, the metallic valence is  half-filled 5 f shell and the presence of a d-type valence
              the charge left per atom when the bonding electrons have  electron. The decreasing melting points of the transcurium
              been stripped off. In this approach, the first five actinides  elements reflect the onset of s-type bonding and the loss
              after actinium, thorium up to plutonium, are considered  of d bonding in the divalent metals. The melting point
              as having metallic valences greater than three.   of Lr is expected to be as high as that of Cm, assuming d
                As the atomic number increases, the radial extension  bonding, but should be lower if it behaves like a p element
              and the bandwidth of the 5 f electrons decreases. From  due to relativistic effects.
              americium on the 5 f electrons are localized, nonbond-  Looking at transport and magnetic properties along
              ing, and carry a magnetic moment. The actinide metals  the actinide series, superconductivity under atmospheric
              americium to californium and lawrencium are trivalent  pressure (Th, Pa), superconductivity under high pressure
              metals. Einsteinium to nobelium are divalent metals due  (U), exchange reinforced Pauli paramagnetism without
              to very high promotion energies needed to promote one  superconductivity (Np, Pu), superconductivity under at-
              f electron to the metallic bonding state as known from  mospheric pressure (Am), and finally magnetic ordering
              ytterbium in the lanthanide series. Thus, the actinide se-  and absence of superconductivity (Cm, Bk, Cf) are succes-
              ries displays more complex electronic structures than does  sively encountered. Measurements of electrical, magnetic,
              the lanthanide series; not only in the first half of thek  or electronic properties of the heaviest actinides beyond
              series.                                           californium have been missing up to now.


                2. Crystal Structures                             4. Thermodynamic Properties
              Actinide crystal structures are more complicated and di-  One of the fundamental properties of a metal is its enthalpy
              versified than the corresponding lanthanide metal struc-  of sublimation. The enthalpy of sublimation of a metal,
              tures. Information about the crystal structures of the ac-  which is a measure of its cohesive energy, is related to the
              tinide metals is given in Table IV.               electronic structure in both the solid and its vapor. The
                Actinium and thorium have no f electrons and behave  enthalpies of sublimation of the actinide metals thorium
              like transition metals with a body-centered cubic structure  through californium have been determined directly by va-
              of thorium. Neptunium and plutonium have complex, low-  por pressure measurements using the pure metals, those of
              symmetry, room-temperature crystal structures and ex-  einsteinium and fermium by measuring partial pressures
              hibit multiple phase changes with increasing temperature  over alloys. Estimates of the enthalpies of sublimation for
              duetotheirdelocalized5 f electrons.Forplutoniummetal,  the actinide metals californium through nobelium have
              up to six crystalline modifications between room tempera-  also been made based on thermochromatographic mea-
              ture and 915 K exist. The f electrons become localized for  surements of the adsorption of actinide atoms on metals.
              the heavier actinides. Americium, curium, berkelium, and  The experimental enthalpies of sublimation clearly reflect
              californiumallhaveroom-temperature,doublehexagonal,  the trends and changes in the electronic properties of the
              close-packed phases and high-temperature, face-centered  actinide metals when progressing across the series. Thus,
              cubic phases. Einsteinium, the heaviest actinide metal  there is further evidence for metallic divalency well before
              available in quantities sufficient for crystal structure stud-  the end of the actinide series.
              ies on at least thin films, has a face-centered cubic structure
              as typical for a divalent metal.
                                                                  5. Alloying Behavior
                                                                Experimental studies of actinide alloys have been carried
                3. Physical Properties
                                                                out with Np, Am, Cm, Bk, Es, and Fm, and far more
              The radioactivity of the actinides along with their lim-  extensive studies have been carried out with the actinide
              ited availability makes their experimental investigation in  metals of technological importance, Th, U, and Pu. The
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