Berlin diagrams

Detailed analyses of the density distributions and chemical bindings were also given by Kern and Karplus (1964) for HF and by Ransil and Sinai (1967) for Li2, N2, F2, HF, and LiF. Politzer et al. gave a force analysis for CO (Politzer, 1965) and NO (Politzer and Harris, 1970) molecules, and compared (Politzer, 1966) the forces for the H2 molecule calculated from various wave functions. Clinton and Hamilton (1960) examined force curves for the excited and ionized states of 02, 02+, and NO in relation to the Clinton-Rice reformulation (Clinton and Rice, 1959) of the Jahn-Teller effect (Jahn and Teller, 1937). Curtiss et al. (1975) studied ionic binding (see also, Bader and Henneker, 1965) in a series of alkali halides using the density distribution and the Berlin diagram (Berlin, 1951). 

Fig. 9. Berlin diagram superposed on the lscrg density distribution of the H2+ molecule (Re = 2.00). The antibinding regions are shaded. The positions of the total (Q), binding (gb), and antibinding (ga) CEDs are also given. The contour values are 0.15, 0.125, 0.1, 0.075, 0.05, 0.025, 0.01,0.005, 0.0025, and 0.001 from the innermost line. (Reproduced from Koga et al., 1982.)...

J. Hafner. From Hamiltonians to Phase Diagrams. Springer-Verlag, Berlin (1987). 

Fig. 3.33. Schematic diagram ofthe commercial INA-3 HF-plasma SNMS apparatus (SPECS, Berlin, Germany).

F. Hulliger, Struct. Bonding (Berlin) 4, 83 -229 (1968). A comprehensive review with 532 references, 65 structural diagrams, and a 34-page appendix tabulating the known phases and their physical properties. 

A schematic diagram of the Berlin TOF-ERDA setup is shown in Figure 4.28. 

Behrmann, G., Larsen, K.G., Pearson, J., et al. (1999) Efficient Timed Reachability Analysis Using Clock Difference Diagrams. Proceedings of CAV 99, Springer, Berlin, pp. 341-353. 

Effenberg, G. and Ilyenko, S. (ed.) (2004) Landolt-Bornstein, Numerical Data and Functional Relationships in Science and Technology, Physical-Chemistry. Ternary Alloy Systems Phase Diagrams, Crystallographic and Thermodynamic Data. Critically evaluated byMSIT (Springer Verlag, Berlin). 

Brookins DG. 1997. Eh-pH diagrams for geochemistry. Berlin Springer-Verlag. 

Brookins D. G. (1988). Eh-pH Diagrams for Geochemistry. Berlin-Heidelberg-New York Springer-Verlag. 

Morse S. A. (1980). Basalts and Phase Diagrams. New York, Heidelberg, and Berlin Springer-Verlag. 

Hafner, J. (1987). From hamiltonians to phase diagrams the electronic and statistical mechanical theory of sp-bonded metals and alloys. Springer, Berlin. 

Figure 13.4. Some vapor-liquid composition diagrams at essentially atmospheric pressure. This is one of four such diagrams in the original reference (Kirschbaum, Destillier und Rektifiziertechnik, Springer, Berlin, 1969). Compositions are in weight fractions of the first-named.

Mirabel, P and Taleb, D. (1994) Phase diagrams, in Low-Temperature Chemistry of the Atmosphere, Ed. G.K. Moortgat, A.J. Bames, G. Le Bras and J.R. Sodeau, Nato AS1 Series, VoL 1-21, Springer-Veriag Berlin, Heidelberg, 147-217. 

Bowers T.S., Jackson K.J., and Helgeson H.C. (1984) Equilibrium Activity Diagrams (for Coexisting Minerals and Aqueous Solutions at Pressures and Temperatures of 5 KB and 600°C). Springer-Verlag, Berlin, 397 pp. 

Brookins, D. G., Eh-pH Diagrams for Geochemistry, Springer-Verlag, Berlin, 1988. A comprehensive pictorial review of pE-pH diagrams for almost all of the Periodic Table, including compilations of the thermodynamic data used to construct the diagrams. 

R. Brain and M. N. Wise, Muscles and Engines Indicator Diagrams and Helmholtz s Graphical Methods , in L. Kriiger (ed.), Universalgenie Helmholtz Riickblick nach 100 Jahren (Berlin Akademie Verlag 1994), pp. 124-45 M. N. Wise, Work and WIste Political Economy and Natural Philosophy in Nineteenth-Century Britain (unpublished essay). 

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