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    The Inorganic Radiochemistry of Heavy Elements

    Methods for Studying Gaseous Compounds

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    The Inorganic Radiochemistry of Heavy Elements
    Methods for Studying Gaseous Compounds

    Autoren:

    Verlag:
    Springer  Weitere Titel dieses Verlages anzeigen

    Auflage: 2008
    Erschienen: Januar 2008
    Seiten: 256
    Sprache: Englisch
    Maße: 235x155x18
    Einband: Leinen (Buchleinen)
    Zum Buch: HC runder Rücken kaschiert
    ISBN: 1402066015
    EAN: 9781402066016

    Inhaltsverzeichnis

    Contents
    Prefacexi
    Symbols and Abbreviationsxiii
    Introductionxix
    Chapter Synopsisxxi
    Termsxxiii
    Chemical Character of the Transactinoid Elementsxxvi
    Referencesxxvii
    1Experimental Developments in Gas-Phase Radiochemistry1
    1.1Early Gas-Solid Chromatography Studies1
    1.2Techniques for Isolation of Short-lived Accelerator Produced Nuclides4
    1.2.1Off-line Simulation with Recoiling Fission Products4
    1.2.2On-line Experiments with Spontaneously Fissioning Nuclides5
    1.3Techniques for a-active Nuclides: Corrosive Reagents9
    1.3.1Relative Merit of Isothermaland Thermochromatography12
    1.4Techniques for a-active Nuclides: Non-corrosive Reagents14
    1.4.1Thermochromatography of Hassium Tetroxide14
    1.4.2Chemical Identification of Metallic Element 11216
    1.5Prospects for Future of Radiochemical Studies of Heavy Elements
    18
    1.5.1Classes of Compounds18
    1.5.2Groups of Related Elements23
    1.5.3References30
    2Physicochemical Fundamentals35
    2.1Molecular Kinetics36
    2.1.1Concentration and Speed of Gaseous Molecules36
    2.1.2Number of Collisions with Wall37
    2.1.3Collisions in Gas and Rate of Chemical Interactions38
    2.1.4Diffusion in Gases40
    2.1.5Elementary Adsorption-Desorption Event42
    2.1.6Integrals Containing Boltzmann Factor42
    2.2Diffusional Deposition of Particles in Channels44
    2.2.1Diffusion Coefficients of Aerosols44
    2.2.2Deposition from Laminar Flow45
    2.2.3Diffusional Deposition - Engineering Approach48
    2.2.4References51
    3Production of Transactinoid Elements, Synthesis and Transportation of Compounds53
    3.1Production of the Elements by Heavy Ion Accelerators54
    3.1.1Recoil Separation from Targets56
    3.1.2Thermalizing Recoils56
    3.2Rapid Synthesis of Volatile Compounds60
    3.2.1Experimental Findings on Kinetics62
    3.2.2Thermochemistry and Kinetics - Chlorination in Gas65
    3.2.3Synthesis of (Oxy)chlorides of Group 4 and 6 Elements ....67
    3.2.4Chlorination in the Adsorbed State70
    3.2.5Chemistry on Hot Aerosol Filters72
    3.3Scavenging of Gaseous Chemically Active and Radioactive Impurities73
    3.3.1Removing Water and Oxygen73
    3.3.2Chemical Filter After the Target Chamber74
    3.3.3Diffusional Deposition of Nonvolatile Species in Gas Ducts75
    3.3.4Deposition of Heat78
    3.4Transportation of Molecular Entities by Aerosol Stream79
    3.4.1Optimal Parameters of Aerosol80
    3.4.2Peculiarities in Aerosol Transportation of Short-lived Activities82
    3.4.3References84
    4Gas-Solid Isothermal and Thermochromatography87
    4.1Characteristics of Methods87
    4.2Theory89
    4.2.1Ideal Isothermal Chromatography89
    4.2.2Ideal Thermochromatography91
    4.2.3Shapes of Chromatographic Peaks93
    4.3Mathematical Modeling of Gas-Solid Chromatography100
    4.3.1Monte Carlo Simulation of Individual Molecular Histories101
    4.3.2Calculational Procedure104
    4.3.3Sample Results of Simulations106
    4.4Vacuum Thermochromatography112
    4.4.1Retention Time112
    4.4.2Description by Random Flights114
    4.4.3Monte Carlo Simulation116
    4.4.4References117
    5Evaluation and Interpretation of the Experimental Data119
    5.1Adsorption Enthalpy on Homogeneous Surface120
    5.1.1Thermodynamic Approach121
    5.1.2Experimental Values from Second Law126
    5.1.3Quasi Third Law Approach - Entropy from Statistical Mechanics128
    5.2Adsorption Enthalpy from Thermochromatographic Experiments135
    5.2.1Basic Equations136
    5.2.2Third Law-based Results for Halides137
    5.3Real Structure of Column Surfaces ]39
    5.3.1Geometrical and Chemical Structure of Fused Silica Surface141
    5.3.2Silanols and Siloxanes on Silica Surface145
    5.3.3Modification of Silica Surface by Haloginating Reagents155
    5.3.4Morphology of Metal Surfaces157
    5.3.5Modification of Metal Surfaces158
    5.4Lateral Migration of Adsorbate159
    5.4.1Surface Diffusion159
    5.4.2Surface Diffusion and Entropy of Adsorbate162
    5.5Evaluation of Adsorption Enthalpies on Real Surfaces165
    5.5.1Thermodynamic Parameters of Adsorption on Heterogeneous Surface167
    5.5.2Adsorption Entropy on Heterogeneous Surfaces with Surface Diffusion169
    5.6Revised Approach to Interpretation of the Data on Transactinoid Halides171
    5.6.1Microscopic Picture of the Modified Silica Surface171
    5.6.2Rationale for the Correlation of Adsorption and Sublimation Energies172
    5.6.3Required New Experimental Data177
    5.6.4Real Picture of Adsorption and Monte Carlo Simulations180
    5.7Non-trivial Mechanisms in Gas-Solid Chromatography180
    5.7.1Dissociative Adsorption - Associative Desorption181
    5.7.2Associative Adsorption - Dissociative Desorption183
    5.7.3Substitutive Adsorption - Substitutive Desorption183
    5.7.4Physical Adsorption - Substitutive Desorption184
    5.7.5Existence of Yet Unknown Compounds187
    5.7.6References187
    6Validity and Accuracy of Single Atom Studies191
    6.1 Validity of Single Atom Chemistry191
    6.1.1Monte Carlo Simulation of Single Atom Experiments192
    6.1.2Theoretical Kinetic Limits194
    6.1.3Equivalent to Law of Mass Action194
    6.1.4More Considerations195
    6.2Analysis of Poor-Statistics Data196
    6.2.1Bayesian Approach to Statistical Treatment197
    6.2.2Half-life from Fraction of Decay Curve202
    6.2.3Adsorption Enthalpy from IC Experiment204
    6.2.4Adsorption Enthalpy from TC Experiment208
    6.2.5Adsorption Enthalpy from Corrupted Thermochromatogram209
    6.2.6Conclusions211
    6.2.7References212
    Author Index215
    Subject Index219



    Vorwort

    Preface

    Throughout my life's work in science I have been greatly influenced by the standing problem of synthesis and studies of the heaviest chemical elements. In 1960 I joined the then-young Laboratory of Nuclear Reactions of the Joint Institute for Nuclear Research at Dubna. It was headed by G. N. Flerov who, with K. A. Petrzhak, discovered the spontaneous fission of uranium. The laboratory was equipped with a powerful cyclotron which could accelerate boron and heavier ions to energy of some 10 MeV per nucleon. A most ambitious goal was to discover new chemical elements. The first "planned" new nuclide, 260104, was expected to be produced by the bombardment of 242Pu with 22Ne. Estimates of its half-life were very uncertain, spanning many orders of magnitude. Necessarily, the initial emphasis was on physical methods of identification of the atomic and mass numbers because, in general, the physical techniques are effective down to very short lifetimes. On the other hand, element 104 was also of great interest for chemists. It was expected to be the first "transactinoid," resembling in its properties hafnium, the first "translanthanoid." As such it would strongly differ in chemical properties from all the lighter transuranium elements. This might facilitate and accelerate its chemical identification, which is an independent reliable method for the assignment of the atomic number and could eventually strengthen the primary physical evidence. The chemical identification of element 104 was the first task I got involved in. It was soon recognized that, with the availability of only one short-lived atom at a time, the processing of the accelerator bombardment products must be continuous and allow immediate chemical transformation of the new atom, once created. The goal was to achieve this, as well as the subsequent chemical isolation of the new molecules, in less than a second, which was the optimistic higher limit of t1/2 . Also required was highly efficient detection of the decay events of element 104 because the expected production rate was, by orders of magnitude, smaller than for any previous element. The more unusual was the combination of all these musts. The existing exclusively batchwise isolation techniques for hafnium and most other metallic elements took at least minutes to accomplish.

    Our team did not see prospects of achieving the goal by simply upgrading the existing methods. In those times An. N. Nesmeyanov, head of the Chair of Radiochemistry at the Moscow University, consulted the Flerov's laboratory in Dubna on radiochemical problems. He pointed to the expected considerable volatility of higher halides of the transactinoid, compared with that of similar compounds of actinoids, as a possible basis of fast separations. When seeking an experimental method which would make the most of the dissimilar volatility, I benefited from the experience and ideas I gained as a student of Professor Nesmeyanov. In his laboratory I separated various volatile brominated methanes to solve a problem in "hot atom chemistry." After a few years our small group of chemists did come with an efficient technique capable of isolating hafnium as tetrachloride in tenths of a second. The method combined the principles of hot atom chemistry and gas-solid chromatography. We successfully applied it to element 104 and subsequent transactinoids. A generation later, around 1990, other world laboratories involved in transactinoid studies also started experiments with gaseous compounds. Fortunately, all the transactinoid elements up to Z = 118 must either be volatile in elemental state or form some characteristic volatile compound(s), so that the gas phase techniques are a universal research tool in radiochemistry of the transactinoid elements.

    The aim of this book is to outline and analyze some fundamental aspects of the work performed at Dubna and elsewhere, and to discuss prospects for the future.

    My sincere thanks go to my colleagues: V. Z. Belov, Yu. T. Chuburkov, V. P. Domanov, B. Eichler, S. Hübener, M. R. Shalaevskii, L. K. Tarasov, A. B. Yakushev, B. L. Zhuikov, T. S. Zvarova - my wife, and others. Together we pioneered and conducted transactinoid studies as well as tried to analyze the fundamental aspects of what we were doing - the gas phase radiochemistry of metallic elements. We were a small group of chemists embedded in a large physical laboratory. Hence, it was of decisive importance for us that the late Prof. G. N. Flerov put much emphasis on the role of chemical identification of new elements. He actually initiated, and then invariably supported, radiochemical studies in the Dubna laboratory.

    Klappentext

    The Inorganic Radiochemistry of Heavy Elements

    The aim of this book is to facilitate the wider use of advantageous gas phase techniques towards heavy elements. Studies of the transactinoid elements (polyvalent metals) stimulated application of their volatile halides, oxides, and oxyhalides to fast radiochemical separations. Selected results are presented here. Primarily, this book features the physico-chemical basis of experimental methods and techniques. It focuses on evaluation of the desorption energy from data of a single gas-solid chromatography experiment through calculation of desorption entropy. Heterogeneity of the column surface and its chemical modification are taken into account. Several approaches to the estimation of bulk properties of the compounds from experiments with only a few atoms are also discussed. The accuracy of the derived quantities is then analyzed using the Bayesian statistical approach.

    The book is aimed at newcomers to the field as well as experts actively engaged in this area of research.


    ISBN 978-1-4020-6601-6

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    Author Index


    A

    Acosta, J.J.C., 23
    Altynov, V.A., 20
    Ans, R., 95


    B

    Bächmann, K., 10, 19, 28, 30, 126, 128, 138, 178
    Bakaev, V.A., 148, 166
    Baltensperger, U., 11
    Barberi, R., 144
    Barth, J.V., 159
    Bartolino, R., 144
    Belov, V.Z., 8, 26, 64, 126, 193
    Berg, E.W., 23
    Bernasconi, M., 150, 154
    Blachot, L.C., 28
    Bombi, G.G., 94
    Bonvent, J.J., 142, 144
    Borg, R.J., 194, 195
    Boussières, G., 3
    Brüchle, W., 15, 16, 199, 200, 205
    Bukin, A., 197
    Buklanov, G.V., 8, 64


    C

    Caletka, R., 6, 63, 78, 203
    Capelli, L., 144
    Chelnokov, L.P., 8, 64
    Chepigin, V.I., 29
    Chuburkov, Yu.T., 4, 6, 63, 78, 203
    Chun, K.S., 29
    Currie.L.A., 199
    Czerwinski, K.R., 13


    D

    De Angelis, A., 199
    DeBoer, J.H., 127, 130, 141
    Debye, P., 42, 161
    Dienes, G.J., 194, 195
    Di Marco, D.B., 94
    Domanov, V.P., 8, 18, 29, 64, 126, 193
    Dressler, R., 15, 16, 199, 205
    Düllmann, Ch.E., 14-16, 40, 59


    E

    Eberhardt, K., 15, 16
    Eichler, B., 15, 16, 26, 28, 29, 113, 138, 181, 205
    Eichler, R., 15, 16, 117, 205
    Evans, M.G., 67


    F

    Fedoseev, E.V., 23
    Fehnse, H.F., 10
    Fishlock, T.W., 158
    Folden, CM., 59
    Frischat, G.H., 146, 147


    G

    Gäggeler, H.W., 11, 13, 15-16, 28-29, 113, 124, 205
    Gäggeler-Koch, H., 29
    Gartner, M., 205
    George, S.M., 151
    Giddings, J.C., 41, 93
    Gilliland, E.R., 40, 41
    Ginter, T.N., 15, 16
    Glaus, F., 15, 16
    Gnielinski, W., 50
    Gorlov, Yu.I., 156
    Gormley, P.G., 47
    Goss, A., 146, 147
    Gregorich, K.E., 13, 15, 16, 205
    Greulich, N., 28, 29
    Guillamont, R., 194
    Gupta, P.K., 142, 144


    H

    Hamann, D.R., 151
    Hambleton, F.H., 151, 152
    Haukka, S., 157
    Heide, G., 146, 147
    Helene, O., 199, 200
    Henderson, R.A., 13
    Henke, L., 145
    Herrmann, G., 29
    Hickmann, U., 10, 28, 29
    Hill, T.I., 169
    Hockey, J.A., 151, 152
    Hoffman, D.C., 15, 16
    Hohn, A., 117
    Hübener, S., 19, 23, 24, 205
    Hussonnois, M., 8, 26, 64


    I

    Illas, F., 152
    Inglesia, E., 147, 148, 169, 176
    Inniss, D., 144
    Iori, M., 199
    Isted, G.E., 158


    J

    Jäger, E., 15, 16
    James, F., 199
    Jin, K.U., 137
    Jonsson, J.A., 93
    Jorgensen, J.W., 95
    Jost, D.T., 11, 13, 15, 16, 205


    K

    Kadkhodayan, B., 12
    Kennedy, M., 47
    Kim, U.J., 20, 21
    Kirbach, U.W., 15, 16
    Kiselev, A.V., 148
    Knaupp, S., 142
    Knudsen, M., 87, 112, 114, 115
    Kolatchkowski, 97
    Korotkin, Yu.S., 8, 20, 26, 64
    Kosanke, K.L., 79
    Kovacs, A., 11
    Kovacs, J., 13
    Krivanek, M., 4
    Krull, U.J., 145
    Kurkijan, CR., 144


    L

    Lan, K., 95
    Le Naour, C, 195
    Lebedev, V.Y., 205
    Lebedev, V. Ya., 185, 205
    Lee, D.M., 15, 16
    Lee, W.T., 158
    Leonardelli, S., 149
    Lindemann, FA., 42
    Lopez, N., 151, 152
    Lygin, V.l., 153


    M

    MacLellan, J.A., 199
    Masini, P., 150, 154
    McDaniel, M.P., 157
    Merinis, J., 3


    N

    Nagy, N., 145
    Nitsche.H., 15, 16
    Novgorodov, A.F., 97


    O

    Orelowich, O.L., 20


    P

    Pacchioni, G., 152
    Pantano, CG., 150
    Patin, J.B., 15, 16
    Patrikiejew, A., 162
    Pershina, V., 15, 16, 178, 205
    Piguet, D., 15, 16
    Poggemann, J.F., 146, 147, 150
    Polanyi, M., 67
    Pollard, W.G., 114
    Porstendorfer, J., 81
    Porter, F., 197
    Prosper, H.B., 199


    Q

    Qin, Z., 15, 16


    R

    Radlein, E., 146, 147
    Rarivomanantsoa, M., 151
    Reichsmann, 192
    Rengan, K., 28
    Righetti, P.G., 144
    Roos, M., 199
    Rudolph, J., 28, 30


    S

    Samhoun, K., 22
    Schädel, M., 15, 16, 113, 205
    Schausten, B., 15, 16
    Schegolev, V.A., 8, 64
    Schimpf, E., 15, 16
    Schmidt, K.H., 202
    Schmidt-Ott, W.D., 10, 72
    Schott, H.-J., 15, 16
    Schrewe, U.J., 10
    Schrijnemakers, P., 156
    Semenov, N.N., 67
    Seward, N.K., 15
    Shalaevski, M.R., 126, 193
    Shalaevskii, M.R., 6, 26, 78, 203
    Shalayevsky, M.R., 8, 64
    Shannon's, R.D., 140
    Shchegolev, V.A., 26
    Sherer, U.W., 13
    Shilov, B.V., 5
    Sneh, O., 151
    Souza, S.D., 150
    Soverna, S., 15, 16
    Stallons, J.M., 147, 148, 169, 176
    Steele, W.A., 48
    Steffen, A., 19, 128
    Stender, E., 79
    Strellis, D.A., 15
    Strom, D.J., 199
    Sudowe, R" 15, 16
    Suglobov, D.N., 23


    T

    Taut, S., 205
    Taylor, G.I., 95
    Thorle, P., 15, 16
    Timokhin, S.N., 9, 15, 16, 20, 21, 29, 185,
    Trautmann, N., 15, 16, 29, 205, 206
    Travnikov, S.S., 23
    Trubert, D., 195
    Tunitskii, N.N., 97
    Türler, A., 11, 13, 15, 16, 205


    V

    Vahle, A., 15, 16, 72, 182, 205
    Van Der Voort, E., 156
    Vansant, F., 156

    Vedeneev, M.B., 185
    Vermeelen, D., 11, 13
    Vitiello, M, 152
    Von Dincklage, R.D., 10


    W

    Wadsak, M., 158
    Weber, A., 11, 13
    Wirth.G., 15, 16


    Y

    Yakushev, A.B., 9, 15, 16, 185, 205


    Z

    Zhuikov, B.L., 29, 74, 99, 100
    Zhuravlev, L.T., 148, 149, 151
    Zielinski, P.M., 15, 16
    Zvara, I., 4-6, 8, 9, 21, 24, 26, 27, 29, 63, 64, 68, 77, 78, 89, 101, 102, 104, 106-108, 126, 127, 137, 185, 193, 203, 205, 208, 211
    Zvarova, T.S., 4, 26, 27, 63, 78
    - Subject Index


    A

    Actinoids (definition), xxiii

    Adsorption. See Adsorption enthalpy; Adsorption entropy; Adsorption thermodynamics; Chemisorption; Physical adsorption
    - localized, 114, 122-124, 126, 132, 133, 135, 141, 162, 164-166, 174, 180
    - intermediate, 133, 162, 164, 173
    - mobile, 112, 116, 122-124, 127, 130, 133, 135, 136, 138, 141, 162, 164, 165, 173, 174
    Adsorption enthalpy (experimental) by Second Law
    - from retention times in IC, 124
    - from retention times in temperature programmed chromatography, 125
    - from survival yield of short-lived nuclides in IC, 124
    - from thermochromatograms at different run duration, 125, 126
    - sample measurements, 126-128
    Adsorption enthalpy (experimental) by Third La ideal surface, mobile adsorption - calculation formulae for IC, 135
    - calculation formulae for TC, 135-137
    - correlation of the values with sublimation enthalpies, 71, 138, 139, 178
    - proximity of the values to sublimation enthalpies, 138, 139, 178
    - - rationale lacking, 128, 140, 172, 174, 177
    - real surfaces require revision of the values.
    - See Desorption energy data by Third Law Adsorption enthalpy from experimental data, on heterogeneous surface.

    - See Desorption energy from experimental data
    Adsorption entropy. See also Partition functions

    - entropy of adsorbate on homogeneous surface from statistical mechanics, 131-134
    - - mobile model, 131, 132
    - - localized model, 132-134
    - - accounting for surface diffusion, 163-165
    - on heterogeneous surface, 169-171
    - on homogeneous surface localized adsorption, 134
    - - localized adsorption with surface diffusion, 163-165
    - - mobile adsorption, 131, 132
    - - uncertainty due to postulating unchanged internal entropy, 162, 163
    - quality of experimental values, 127, 128
    Adsorption isobar, 89, 100, 126, 127, 209
    Adsorption sites, 122, 132, 159, 164-166, 179, 181
    - active, 60, 192
    - blocking by reagents, 60
    - number concentration of, 122, 133
    - - possibly overestimated, 174
    Adsorption sojourn time. See Physical adsorption;

    Adsorption thermodynamics

    - adsorption reference states, 162
    - adsorption standard states, xxii, 127, 131, 133, 134, 181

    - - fractional surface coverage, 123

    - - molar area, 122, 123, 131, 133

    - - molar volume, 122, 123, 127, 131

    - distribution coefficient (dimensional), 121

    - - from experiments in uniform isothermal column, 121
    - equilibrium constants (dimensionless), 121

    - - for ideal mobile adsorption model, 122, 123

    - - for ideal localized adsorption model, 122, 123

    - - for real surfaces, effective, 167, 169, 171, 175, 177, 178
    Aerosols
    - coagulation rate, Smoluchowski equation, 81
    - diffusion coefficient, 44, 45
    - Cunningham slip factor, 45
    - diffusional deposition of. See Diffusional deposition in channels generators (production), 10, 11, 79, 80
    - gravitational settling, 80, 84
    - materials of, 10-12, 72
    Aerosol flow transportation, 9-12, 79-82
    - deposition of particulates by impact, 12, 79
    - optimal size of particulates, 80, 81
    - - necessary lower limit of concentration, 81
    - reclustering at IC column exit, 11, 12, 14, 82
    - peculiarities compared with molecular transportation

    - - efficiency for short-lived nuclides, 84
    - - spike profile change with distance, 83


    B

    Bayesian statistics, 197, 202, 203, 209. See also Poor-statistics data, Bayesian treatment

    Bayesian (confidence) intervals, BI, 197
    Bis for difference of Poisson-distributed quantities (table), 200
    Bis for ratio of Poisson-distributed
    - quantities, (table), 200, 201
    - compared with frequentist statistics, 197
    - likelihood function, 197, 198, 202, 203, 209
    - posterior distribution of parameter, 197, 198
    - prior distribution of parameter, 197, 198
    - complete ignorance of, 198, 199
    - statistical inference, 197
    Bimolecular reactions, 67, 186
    - rate of, 37-39
    Bohrium (Bh, element 107), 12
    - longest-lived isotopes, 55
    - volatile oxychloride, 12
    Boltzmann factor, 42, 100, 136, 160, 161
    - integrals containing the factor, 42, 43
    Brominating agents. See Synthesis of volatile compounds on-line.


    C

    Carrier gas (definition), xxii
    - hold-up time of. See Gas hold-up time

    Chemical identification of TAEs (definition), xviii

    Chemisorption, 119, 120, 153, 172, 181
    Chemical volatilization, xxi, 75
    Chlorinating agents. See Synthesis of volatile compounds on-line.
    Chlorination of adsorbed tracers, 70-72
    - conditions for fast kinetics of, 71
    - Zr with TiCU -* ZrCU on silica surface, 70-72
    Chlorination of gaseous tracers. See also Synthesis of volatile compounds on-line; Scavenging impurities in carrier gas

    - bimolecular steps involving radicals, 65
    - - activation energy versus enthalpy change, 67
    - conditions for fast kinetics of, 66, 67, 71, 72
    - mechanism of Zr with TiCU - * ZrCU, 65
    - thermochemistry and kinetics, 65
    - thermochemistry of all possible reaction paths

    - - Zr with TiCl4 -> ZrCl4 , 67-69
    - - Zr with SOCl4 -> ZrCl4 , 68
    - - W(Mo) with SOCl4 -> W(Mo)OCl4 , 69, 70
    Chlorination on hot aerosol filters, 72
    Chromathermography, 97, 112
    Chromatographic peak shape, 93-100
    - statistical moments and cumulants, 93, 94
    Chromatographic peaks in IC

    - approximate profile formula, 97
    - computer simulations. See Monte Carlo simulations

    - dispersion due to

    - - laminar flow patterns, 95
    - - longitudinal diffusion, 95
    - - migration slower than flow velocity, 95
    Chromatographic peaks in TC
    - approximate formulae for slow flow, 99, 100
    - compression by temperature gradient, 97, 98
    - computer simulations. See Monte Carlo simulations

    - dispersion at very low flow rates, 97-100

    - fitting by exponentially modified Gaussian, 108-110
    Collisions of molecules. See Molecular kinetics

    Cunningham slip correction, 44


    D

    De Broglie wave length, 129
    Desorption energy (definition) 165, 166
    Desorption energy data by Third Law: heterogeneous surface, localized adsorption

    - exceeds sublimation energy, 140, 141, 177, 178. Cf. Adsorption enthalpy (experimental) by Third Law

    - possible factors enhancing high values of, 175
    - - adsorption pockets, 173, 174
    - - incomplete modification of surface, 176, 177
    - - localized rather than mobile adsorption, 173, 174
    - - losses of internal entropy in adsorption, 174
    - uncertainty of some required quantities, 174, 175
    Desorption energy, heterogeneous surface fundamentals, 167-169. See also Adsorption enthalpy

    - spectra of, 167
    - spectra of, assumed for discussion, 168, 169
    - - effective mean value of energy, 168
    - - Second Law treatment of effective energies, 168, 169
    - spectra calculated by molecular dynamics, 176
    Desorption entropy, heterogeneous surface. See also Adsorption entropy

    - accounting for surface diffusion, 169-171
    Detection of rare decay events of heavy elements

    - ionization chamber for fission events, 17
    - semiconductor detectors of a particles and fission fragments, 12, 15
    - solid state track detectors of fission fragments, 6
    Diffusion. See Aerosols, diffusion coefficient; Diffusional deposition in channels; Gaseousdiffusion; Knudsen diffusion; Surface diffusion

    Diffusional (irreversible) deposition in channels deposit density and penetration - analytical solutions for diffusionally developing laminar flow

    - - for circular channels, 46, 47

    - - for rectangular channels, 47, 48

    - engineering approach, 48

    - - for developed turbulent flow, 50
    - - for diffusionally and hydrodynamically developing, laminar flow, 49, 50
    Dubnium (Db, element 105), 12, 13, 73
    - bromides of, 13
    - chlorides of, 192
    - longest-lived isotopes, 55


    E

    Ekahafnium. 7, 202. See Rutherfordium

    Element 112 (Ekamercury)
    - adsorption on gold, 17
    - longest-lived isotopes, 55
    - volatility in atomic state, 16
    Engeworth-Cramer asymptotic expansion, 94
    Entropy. See Adsorption entropy; Partition functions

    Exponentially modified Gaussian, 94, 95
    - fitted by Gram-Charlier series, 95
    - fitting Monte Carlo simulations by, 107-110
    Elution curve, 63, 64, 82, 83, 87, 88, 93, 96, 124


    F

    Fluorinating agents, 22
    Free random
    - displacements in VTC column, 114, 116
    - flights in gas, 101, 102
    - jumps in surface diffusion, 161
    Future research needs
    - advanced peak profile simulations, 112
    - conditioning of open columns, 179
    - formulae for thermochromatographic peaks, 98, 100
    - more of precise comparative data for known elements, 177, 178, 180


    G

    Gas hold-up time, 20, 38, 53, 62, 63, 70, 75, 84, 91-93, 101, 202
    Gaseous diffusion, 40
    - as a result of random flights, 41
    - coefficient of mutual diffusion, 40, 41, 45, 77, 96

    - - for two-dimensional gas, 173
    - Gilliland equation for the coefficient, 40
    Gas-solid chromatography method and experimental techniques. See Chromathermography; Isothermal chromatography (IC); Temperature programmed chromatography; Thermochromatography (TC)

    - non-trivial chromatographic mechanisms. See Reaction chromatography
    - realization of, on-line with accelerator beams

    - - advantages and disadvantages of TC and IC for transactinoid studies, 13, 14

    - first on-line experiments with Hf and Rf, 5

    - simulation of, using fission products, 4
    Gram-Charlier series, 94


    H

    Hassium (Hs, element 108), 14-16
    - longest-lived isotopes, 55
    - volatile tetroxide of, 14-16, 178, 209
    Heterogeneous surface. See Desorption energy; Desorption entropy; Surface of fused silica; Surface of metals


    I

    Internal chromatograms, 87, 88, 90
    - in isothermal chromatography, 87
    - in thermochromatography, 87, 88, 90, 105
    Isothermal chromatography (IC). See also Reaction chromatography

    - characteristic of the method, 87, 88
    - theory of ideal, 89-91
    - - gas hold-up time, 90
    - - migration distance, 90
    - - net retention time, 90, 103


    K

    Knudsen diffusion (regime) in evacuated channels, 112
    - description by effective flow, 112
    - effective diffusion coefficient, 114, 115
    - Monte Carlo simulation by random flights, 116, 117


    L

    Lanthanoids (definition), xxiii
    Lateral diffusion (migration) of adsorbate. See Surface diffusion

    Localized adsorption model. See Adsorption entropy

    Loschmidt number, 36


    M

    Mobile adsorption model. See Adsorption entropy

    Molecular kinetics, 36-43
    - collisions of gaseous molecules, 38, 39
    - - collision diameter, 39, 40
    - - rate of chemical interaction, 37-39
    - - reduced mass of colliding particles, 38
    - collisions of gaseous molecules with walls, 37
    - - number of, when passing a volume, 38
    - concentration of gaseous molecules, 36, 37
    - mean speed of gaseous molecules, 37
    Monte Carlo simulations of experimental data on few atoms. See Poor-statistics data, Bayesian treatment.
    Monte Carlo simulations of likelihood function. See Poor-statistics data, Bayesian treatment.
    Monte Carlo simulations of molecular migration histories and chromatograms

    - assumptions and approximations, 101-104, 110, 111
    - individual paths in time and distance, 104
    - microscopic picture of migrations, 100, 101
    - migration distance as sum of long jumps, 102
    - - effective long jumps (exponential pdf), 103
    - - jumps of zero length, number of, 102, 103
    - - simplified pdf of displacements, 101-103
    - retention time as sum of multiple sojourns at jump endpoints, 103-105
    - - pdf of the sum, 103
    - simulation flowchart, 106
    - - graph of simulated individual paths, 104
    - simulations of internal chromatograms, examples

    - - elution TC, long-lived nuclide, 109
    - - elution TC, short-lived nuclide, 109

    - - frontal TC, long-lived nuclide, 109

    - - fits of peaks with exponentially modified Gaussian, 109, 110
    - - statistical characteristics of simulated and fitting peaks, 110, 111
    - variables affecting peak shapes, 110-111


    N

    Net retention time. See isothermal chromatography, theory; Thermochromatography, theory


    P

    Partition functions, molecular, molar, 128, 129
    - rotational, 130
    - translational, 129, 130
    - - for two-dimensional gas, 129
    - vibrational, 130
    Peclet number (Pe), 96
    Physical adsorption,
    - adsorption sojourn time, 42, 88, 89, 101, 108, 172, 173, 180
    - elementary adsorption-desorption event, xix, 42, 90, 102, 111, 120, 165, 180
    - London dispersion forces, 120
    - vibrations of adsorbent lattice, 42, 161, 180
    Physisorption. See Physical adsorption

    Poisson distribution, computer simulation, 207
    Poor-statistics data, Bayesian treatment. See also Bayesian statistics

    - adsorption enthalpy from corrupted thermochromatogram, 209-211
    - - persisting ambiguities, 210, 211
    - adsorption enthalpy from IC data, 204-208
    - - evaluation of survival rates, 205, 206

    - - formulae for survival yield, 204

    - - likelihood function by Monte Carlo, 207

    - - uncertainty of final data, 208

    - adsorption enthalpy from TC experiment basic formulae, 208, 209
    - half-life from incomplete decay curve, 202, 203
    - - likelihood function by Monte Carlo, 203
    - - sketch of flowchart, 203
    Production of transactinoids, 54, 55
    - actinoid targets, 54
    - effective production cross section, 54, 55
    - evaporation residues

    - - recoil energy and range in target material, 56
    - - straggling of recoil range, 56
    - heavy ion beams (C to Ca), 54
    - - available intensities, 54, 55, 57
    - - optimal energy, 55
    - simultaneous production of chemical homologs, 57


    R

    Random flights, 40, 100, 112, 114-116
    Reaction chromatography, 180-181
    - associative adsorption - dissociative desorption, 183
    - - atomic silver silver chloride, 183
    - dissociative adsorption - associative desorption, 181-183

    - - (Ce, Pu, Bk)Cl4 (Ce,- Pu, Bk)Cl3 , 181, 182
    - - complexes with Al2Cl6, 182, 183
    - - Mo and W oxide-hydroxides, 182
    - physical adsorption - substitutive desorption, 184-186
    - - W and Sg oxychlorides, 184-186
    - substitutive adsorption - substitutive desorption, 183-184

    - - (Zr, Hf, Rf)Cl4 (Zr, Hf, Rf)Cl4, 183
    Reference states for mobile and localized adsorption, 162
    Retention time, 90, 91, 103, 105, 124, 136, 181
    - in vacuum thermochromatography, 112
    - measurement of, 5, 10, 12, 28, 62-64
    Reynolds number (Re), 48-50
    Roughness of surfaces, 141, 142
    - indices of, 142
    - of fused silica, experimental data, 142-146
    - of metals, 158
    - reduction of, by chemical etching, 158,
    Rutherfordium (Rf, element 104), 6-8

    - longest-lived isotopes, 55
    - oxychloride and tetrachloride of, 12, 183


    S

    Scavenging impurities in carrier gas, 73
    - deposition of nonvolatile and aerosol species. See also Diffusional deposition - - calculated graphs of deposit density and penetration (laminar flow), 75-77
    - - turbulent flow, formulae and data, 77, 78
    - removing interfering radionuclides by hot CaO and Si02 filters, 74, 75
    - removing water with SOCl2 or BBrt, thermodynamics and mechanism, 73, 74
    Schmidt number (Sc), 48-50
    Seaborgium (Sg, element 106), 8, 9,
    - longest-lived isotopes, 55
    - oxide hydroxides of, 182
    - oxychlorides of, 9, 69, 70, 184, 204, 209
    Separations of groups of related elements,

    - elements of groups 7 to 10, 27, 28
    - homologs of elements 112 to 117, 27-29

    - fission products, 28-30

    - lanthanoids and actinoids, 24, 26, 27
    Sherwood number (Sh), 48-50
    Single atom chemistry, validity of, 191-196.See also Poor-statistics data, treatment

    - fluctuation of a system property with number of entities, 195
    - kinetic limits for exchange of ligands, 194
    - probability equivalent to law of mass action, 194, 195
    - supported by Monte Carlo simulations of TC experiments, 192, 193
    - verified by coprecipitation of Po from solutions, 192
    Sizes of ions (atoms) in compounds, 140
    - based on additive crystal radii, 140
    - visualization of relative, 139, 141, 150, 152
    Standard states, xxii, 133. See also Adsorption thermodynamics

    Stirling's series and approximation, 195, 196
    Superheavy nuclides / elements (definition), xxiii

    - atomic electronic ground state, xxiii

    - chemical character, xxiv

    Surface diffusion on homogeneous surface, 159-162
    - as two-dimensional Brownian motion, 161
    - diffusion (migration) barrier, 159-162,
    - distribution and mean of stochastic jumps, 160, 161
    - effective diffusion coefficient, 161
    - history of the problem, 159
    - observation of atomic jumps, 161
    - random migration picture of, 160
    Surface of fused silica, bare. See also Surface of fused silica, hydroxylated; Surface of fused silica, modified

    - calculated energy potential, 146-148
    - calculated adsorption potential for N2, 148
    - heterogeneity (at atomic level)

    - - distortion of SiO4-network, holes between the tetrahedra, 146, 147
    - - strained two and three membered rings, 151, 152
    Surface of fused silica, hydroxylated

    - dehydratation, 150, 154
    - dehydroxylation, 149-151, 153, 154, 157
    - hydratation, 154
    - hydroxylation, 148-150
    - rehydroxylation, 153-155
    - silanols, 148, 149, 151-157, 172, 176, 177, 179
    - - geminal, isolated, vicinal, 149
    - - position in nanoscale structures, 151, 152
    - siloxanes, 148, 151, 154, 155, 157, 172, 177
    Surface of fused silica, modified, 155
    - microscopic picture of, 171, 172
    - by various agents, 156, 157,
    - by SOCl2 , 156
    - by TiCU, 155, 156
    Surface of metals, 157-159,
    - modification by reagents, 158, 159
    - - nickel modified with bromine, 159
    - morphology of bare, 157
    - - kinks, steps, terraces, 157
    - roughness reduction, 158
    - - by ion bombardment plus annealing, 158
    - - by polishing, 158
    Synthesis of volatile compounds on-line.See also Chlorination of gaseous tracers

    - brominating agents, 21, 73, 155
    - chlorinating agents, 3-6, 20, 21, 60-73, 155, 182, 183, 186
    - experimental evidence for fast synthesis

    - - of ZrCl4 from fission product Zr, 61
    - - of HfCl4 from heavy ion produced Hf, 62-64
    - in-situ volatilization, xviii, 4, 5, 16, 54, 72-74


    T

    Temperature-programmed chromatography,

    - of fission product chlorides, 30
    - of lanthanoid complexes with Al2Cl6, 26
    - of oxides, 19
    Thermal diffusivity, 78, 79
    Thermalizing nuclei recoiling from target

    - carrier gas under heavy ion beam

    - - concentration of ions in gas, 58, 59
    - - energy absorption rate, cm3 s-1, 58
    - - LET and range of heavy ions, 57, 58
    - optimal size of target chamber, 56, 57
    - range of recoiling evaporation residues, 57
    Thermochromatographic columns, 15, 78, 142, 143
    - equal temperature of gas and wall, 78
    - temperature profile, 3, 88, 97, 111, 116, 137
    - - measurement of true, 78
    Thermochromatography (TC), xvii, xxii. See also Reaction chromatography characteristics of method, 87-89
    - internal chromatograms in, 87, 88, 90, 105
    - net retention and gas hold-up times, 91-93, 136
    - - at constant column temperature gradient, 92
    - - at exponential temperature profile, 92
    - theory of ideal, 91-93, 208
    Thermodynamic and thermochemical
    - properties of (oxy)halides of present interest compounds of B, 73, 175
    - compounds of Ti, 69-69, 71, 74, 175
    - compounds of W, 69, 70
    - compounds of Zr, 68, 71, 72, 174, 175
    - of SOCl2 and its decomposition products, 68
    Tracer (definition), xxi
    Transactinoid elements. See also Production of transactinoids

    - definition, xxiii
    - electronic structure of atomic ground state, xxiii

    - longest-lived isotopes, 55
    - names and symbols for, xxiv

    Trouton's rule, 2, 138


    U

    Unknown compounds, general, xviii, 187
    - (oxy)fluorides of Np to Es, 22
    Uranium impurities in detectors, 6, 7


    V

    Vacuum thermochromatography VCT, 112-117
    - non-rigorous definition, 112
    - description by random flights, 114
    - - equivalent diffusion coefficient, 114, 115
    - - mean lengths and dispersion of flights, 114
    - isothermal separation impossible, 112
    - Knudsen regime, 112-115
    - - cosine law, 116
    - - correct computer simulation, 116
    - retention time versus adsorption enthalpy, 113
    - - using vacuum conductance as effective convective flow, 113
    - - considering linear diffusion with decreasing coefficient, 115, 116
    - simulation of, by Monte Carlo, 116, 117

    Van't Hoff equation, 124, 169

    Volatile compounds of heavy elements early use in radiochemistry, xvii, xviii

    - complexes with Al2Cl6, 25-27
    - halides and oxyhalides, 21, 22
    - metals, 18, 24
    - oxides and oxide hydroxides, 18
    - sulfides, 20
    - structural reasons for enhanced volatility, 2, 20, 23, 25


    Z

    Zone profile.See Chromatographic peaks, shapes



    Autor

    Ivo Zvára

    Joint Institute for Nuclear Research
    Dubna
    Russian Federation

    Reviews

    From the reviews: "This is an interesting and well-prepared book. ... it covers, only the gas-phase chemistry of elements of atomic numbers greater than Z = 103. As a result, it will be of interest to ... readers of JACS. ... In the six brief chapters, the limited data are well evaluated and presented." (Gregory R. Choppin, Journal of the American Chemical Society, Vol. 130 (42), 2008)