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  • Articles  (14,580)
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  • 1
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    In:  Tectonophys., Beijing, Pergamon, vol. 196, no. 17, pp. 269-278, pp. 2135
    Publication Date: 1991
    Keywords: Earth model, also for more shallow analyses ! ; CRUST ; Turkey ; Fault zone
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  • 2
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    In:  Tectonophys., Potsdam, ZIPE, vol. 195, no. 2/3, pp. 139-149, pp. 2501, (ISBN: 0-12-018847-3)
    Publication Date: 1991
    Keywords: Surface waves ; Rayleigh waves ; Seismology ; Earth model, also for more shallow analyses ! ; EUROPROBE (Geol. and Geophys. in eastern Europe)
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  • 3
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    In:  Geophys. J. Int., Luxembourg, Conseil de l'Europe, vol. 104, no. 3, pp. 523-540, pp. L17606, (ISBN: 0534351875, 2nd edition)
    Publication Date: 1991
    Keywords: Inversion ; Inhomogeneity ; Earth model, also for more shallow analyses ! ; GJI
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  • 4
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    In:  Geophys. Res. Lett., New York, Allerton Press, vol. 18, no. 19, pp. 1115-1118, pp. L01606, (ISSN: 1340-4202)
    Publication Date: 1991
    Keywords: Seismology ; earth mantle ; Earth model, also for more shallow analyses ! ; Velocity depth profile ; GRL
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  • 5
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    In:  J. Geophys. Res., Amsterdam, Schweizerbart'sche Verlagsbuchhandlung, vol. 99, no. 2, pp. 13897-13912, pp. L07302, (ISSN 0016-8548, ISBN 3-510-50045-8)
    Publication Date: 1994
    Keywords: China ; Tectonics ; Crustal deformation (cf. Earthquake precursor: deformation or strain) ; Deep seismic sounding (espec. cont. crust) ; Velocity depth profile ; Earth model, also for more shallow analyses ! ; JGR
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  • 6
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    In:  Tectonophys., New York, Allerton Press, vol. 234, no. 13, pp. 5-18, pp. L13315, (ISSN: 1340-4202)
    Publication Date: 1994
    Keywords: Earth model, also for more shallow analyses ! ; Crustal deformation (cf. Earthquake precursor: deformation or strain) ; Plate tectonics ; Turkey
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  • 7
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    In:  Geophys. J. Int., Zagreb, 3-4, vol. 117, no. 3, pp. 539-544, pp. B06305, (ISSN: 1340-4202)
    Publication Date: 1994
    Keywords: Mohorovicic disc. ; Earth model, also for more shallow analyses ! ; Physical properties of rocks ; Gravimetry, Gravitation ; GJI
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  • 8
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    In:  Rev. Roum. Géophysique, Luxembourg, Conseil de l'Europe, vol. 35, no. 5, pp. 3-13, pp. L20305, (ISSN: 1340-4202)
    Publication Date: 1991
    Keywords: Earth model, also for more shallow analyses ! ; Crustal deformation (cf. Earthquake precursor: deformation or strain) ; Plate tectonics ; EUROPROBE (Geol. and Geophys. in eastern Europe) ; Radulescu
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  • 9
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    In:  Gerlands Beiträge zur Geophysik, Jena, Gustav Fischer, vol. 16, no. 3, pp. 239-247, pp. L24306, (ISBN: 0534351875, 2nd edition)
    Publication Date: 1927
    Keywords: Earth model, also for more shallow analyses ! ; Tectonics ; Inelastic ; Plate tectonics
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  • 10
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    In:  Zeitschrift für Geophysik, Jena, Gustav Fischer, vol. 3, no. 3, pp. 371-377, pp. L24306, (ISBN: 0534351875, 2nd edition)
    Publication Date: 1927
    Keywords: Earth model, also for more shallow analyses ! ; CRUST
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  • 11
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    In:  Gerlands Beiträge zur Geophysik, Jena, Gustav Fischer, vol. 18, no. 3, pp. 281-291, pp. L24306, (ISBN: 0534351875, 2nd edition)
    Publication Date: 1927
    Keywords: Earth model, also for more shallow analyses ! ; Tectonics ; Inelastic ; Plate tectonics
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  • 12
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    In:  Bull. Geol. Soc. Am., Milano, Gustav Fischer, vol. 44, no. 3, pp. 170-171, pp. L24306, (ISBN: 0534351875, 2nd edition)
    Publication Date: 1933
    Keywords: CRUST ; Earth model, also for more shallow analyses ! ; Seismology ; Velocity depth profile
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  • 13
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    In:  Geophys. Res. Lett., Basle, Wiley, vol. 18, no. 1, pp. 1755-1758, pp. 1264, (ISSN: 1340-4202)
    Publication Date: 1991
    Keywords: Seismology ; Inelastic ; Attenuation ; Earth model, also for more shallow analyses ! ; High frequency ... ; Quality factor ; GRL
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  • 14
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    In:  J. Geophys. Res., Luxembourg, Inst. Electrical & Electronics Engineers, vol. 96, no. 5433, pp. 2233-2247, pp. B06303, (ISSN: 1340-4202)
    Publication Date: 1991
    Keywords: Seismology ; Waves ; Earth model, also for more shallow analyses ! ; earth Core ; Travel time ; Inhomogeneity ; JGR
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  • 15
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    Bornträger
    In:  Berlin, Bornträger, vol. 8, no. Publ. No. 12, pp. 95-104, (ISBN 0-865-42078-5)
    Publication Date: 1991
    Keywords: Earth model, also for more shallow analyses ! ; Textbook of geophysics ; geodyn
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  • 16
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    Am. Geophys. Un.
    In:  Bull., Polar Proj. OP-O3A4, Continental Lithosphere: Deep Seismic Reflections, Washington, D.C., Am. Geophys. Un., vol. 22, no. Subvol. a, pp. 377-382, (ISBN 0080419208)
    Publication Date: 1991
    Keywords: Deep seismic sounding (espec. cont. crust) ; Earth model, also for more shallow analyses ! ; GeodesyY ; Plate tectonics ; Review article ; Meissner ; Duerbaum ; Durbaum
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  • 17
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    In:  J. Geophys. Res., London, Geological Society, vol. 99, no. 11, pp. 12091-12108, pp. L11303, (ISBN 1-86239-117-3)
    Publication Date: 1994
    Keywords: Tectonics ; Turkey ; Earth model, also for more shallow analyses ! ; Tomography ; JGR
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  • 18
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    In:  Tectonophys., Warszawa, Icelandic Meteorological Office, Ministry for the Environment,, vol. 230, no. 4, pp. 1-19, pp. 1567, (ISBN: 0534351875, 2nd edition)
    Publication Date: 1994
    Keywords: Seismics (controlled source seismology) ; Attenuation ; Earth model, also for more shallow analyses ! ; Velocity depth profile ; Quality factor
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  • 19
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    In:  Geophys. J. Int., Oxford and Edinburgh, Blackwell Scientific Publications, vol. 117, no. 1, pp. 273-283, pp. 1549, (ISBN: 0534351875, 2nd edition)
    Publication Date: 1994
    Keywords: P-waves ; Plate tectonics ; Velocity analysis ; earth mantle ; Mohorovicic disc. ; Earth model, also for more shallow analyses ! ; Velocity depth profile ; GJI
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  • 20
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    In:  Earth planet. Sci. Lett., Kleinmachnow, Dt. Geophys. Ges. e. V., vol. 122, no. 6, pp. 89-101, pp. B05401, (ISBN: 0534351875, 2nd edition)
    Publication Date: 1994
    Keywords: Seismology ; Earth model, also for more shallow analyses ! ; Subduction zone ; phase ; transition
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  • 21
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    In:  Geologische Rundschau, Jena, Gustav Fischer, vol. 18, no. 3, pp. 148-149, pp. L24306, (ISBN: 0534351875, 2nd edition)
    Publication Date: 1927
    Keywords: Earth model, also for more shallow analyses ! ; Tectonics ; Inelastic ; Plate tectonics
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  • 22
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    In:  Gerlands Beiträge zur Geophysik, Jena, Gustav Fischer, vol. 17, no. 3, pp. 356-365, pp. L24306, (ISBN: 0534351875, 2nd edition)
    Publication Date: 1927
    Keywords: Travel time ; Earth model, also for more shallow analyses ! ; Seismology ; Body waves ; Velocity depth profile
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  • 23
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    In:  Geophys. J. Int., Kunming, China, 3-4, vol. 117, no. 1, pp. 695-715, pp. B05S18, (ISSN: 1340-4202)
    Publication Date: 1994
    Keywords: Shear waves ; Earth model, also for more shallow analyses ! ; Velocity depth profile ; earth mantle ; GJI
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  • 24
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    Am. Geophys. Un.
    In:  Washington, D.C., Am. Geophys. Un., vol. 22, no. 1, pp. 65-66, (ISBN 0-596-00610-1)
    Publication Date: 1991
    Keywords: Deep seismic sounding (espec. cont. crust) ; Earth model, also for more shallow analyses ! ; Review article ; Reflection seismics ; Meissner ; Duerbaum ; Durbaum
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  • 25
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    Gustav Fischer
    In:  Professional Paper, Handwörterbuch der Naturwissenschaften Bd. 3, Jena, Gustav Fischer, vol. 3, no. VIIa, pp. 762-774, (ISBN: 3-540-23712-7)
    Publication Date: 1933
    Keywords: Handbook of geophysics ; Earth model, also for more shallow analyses !
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  • 26
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    In:  Hannov. land- und forstw. Zeitg.:93-95
    Publication Date: 1927
    Description: Beschreibung der Witterungsverläufe der Winter und Empfehlungen für die Bodenbearbeitung und Bestandesführung von Winterkulturen KATASTER-BESCHREIBUNG: Einfluss der Witterung (Niederschlag und Temperatur) auf den Ertrag KATASTER-DETAIL: Delta Nied (Vorjahr) ++, dann Ertrag -; Delta Nied (Winter) +, dann Bodenfeuchte + und somit Ertrag +; Delta T (November) -, dann Ertrag -; Delta T (Winter) +, dann Ertrag +; Delta T (Frühling) +, dann Ertrag -;
    Keywords: Niedersachsen ; 1924-26 ; Insekten ; Ertrag ; Getreide ; Landwirtschaft ; Niederschlag ; Pflanzenschädling ; Roggen ; Weizen ; Düngung ; Gerste
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  • 27
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    In:  Fortschritte der Landwirtschaft, 8: 313-316
    Publication Date: 1933
    Description: Beschreibung der Häufigkeitsverteilung von Trockenperioden durch Belegung und Gewichtung von niederschlagsfreien Tagen im Mittel von Dekaden KATASTER-BESCHREIBUNG: Betrachtung einzelner Dekaden, Vergleich der Häufigkeitsverteilung der Dürrezahlen, Schlussfolgerungen für die Gefährdung durch Dürre für die Landwirtschaft KATASTER-DETAIL: Delta Nied- (Dez-März), Hervortreten des Winters als Dürrezeit im Raum Wien
    Keywords: Utrecht, Wien ; 1851-1910, 1881-1920 ; Landwirtschaft ; Niederschlag ; Trockenheit
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  • 28
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    In:  Zeitschrift für Pflanzenernährung, Düngung, Bodenkunde 6:490-496.
    Publication Date: 1927
    Description: Einfluss der Witterungsfaktoren Niederschlag, Temperatur und Sonnenscheindauer auf die Erträge KATASTER-BESCHREIBUNG: Einteilung der Temperatur in Klassen (stark, mittel, gering) und die Beurteilung auf die Erträge in den 6 Provinzen des deutschen Reiches, mit Vermehrung der Niederschlage wahrend der Vegetationszeit Zunahme der Halmfrüchte und der Kartoffeln im gröBten Teile des PreuBischen Staates anfangs, jedoch nd spater wieder abnehmender Trend KATASTER-DETAIL: Delta T+ (April-Augut), dann Winterweizenerträge + in OstpreuBen, Brandenburg und Sachsen Delte T++ (April-August), dann Winterweizenerträge ++ in Ostpreußen, aber - in Brandenburg und Sachsen Delta T- (April-Augut), dann Winterweizenerträge - in Hannover und der Rheinprovinz Delta T+ (+0.1° Erhöhung Temperaturmittel der Monate April bis September), dann Kartoffel+ in OstpreuBen und Schlesien
    Keywords: Deutschland, teilw. einzelne Regionen ; 1899-1913 ; Ertrag ; Niederschlag ; Temperatur ; Witterung ; Sonnenscheindauer
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  • 29
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    In:  Arb. deut. Landw. Gesell. 354:66
    Publication Date: 1927
    Description: Zusammenhang zwischen dem Ertrag von Kartoffeln, Hafer und Luzerne und dem Niederschlag KATASTER-BESCHREIBUNG: Korrelationen zwischen dem Ertrag von Kartoffeln und Hafer und dem jährlichen Niederschlag, bzw. der jährlichen Anzahl nasser Monate (〉50mm pro Monat); stärkerer Zusammenhang mit jährlichem Niederschlag als mit Anzahl nasser Monate und umso schwächer, je niederschlagsreicher das Jahr, am ausgeprägtesten in Mitteldeutschland selbst auf schweren Böden KATASTER-DETAIL:
    Keywords: Mitteldeutschland ; 1904-1914, 1922-1924 ; Kartoffeln ; Ertrag ; Hafer ; Korrelationsmethode ; Niederschlag
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  • 30
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    In:  Vortrag, Schr. Königsberg. gel. Ges., Naturwiss. Kl., 10 H.6) Max Niemeyer, Halle a. S.:16
    Publication Date: 1933
    Description: Untersuchungen über den Einfluss klimatischer Wachstumsfaktoren auf den Ertrag KATASTER-BESCHREIBUNG: Einfluss der Witterung (Temperatur, Niederschlag, Sonnenschein) auf den Ertrag KATASTER-DETAIL: Delta Luftdruck +, dann Erträge +; Delta O2-Gehalt (Luft) = 15 %, dann Ertrag = max; Delta CO2-Gehalt (Luft) = 0.03 %, dann Ertrag = max; Delta Lichtintensität - und Delta CO2-Gehalt +, dann Ertrag +; Delta T Boden, Vegetationszeit) + : Tmit 〉 5 °C, dann Ertrag; Delta Nied +, dann Ertrag +;
    Keywords: Königsberg, Preußen ; 1931-1932 ; Boden ; Ertrag ; Niederschlag ; Temperatur ; Wind ; Witterung ; Sonnenscheindauer
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  • 31
    Publication Date: 1933
    Description: Korrelation zwischen Junitemperaturen und Hafererträgen Regressionsgleichung (Temperaturzunahme bedingt Ertragsrückgang) KATASTER-BESCHREIBUNG: Einfluss der Junitemperatur auf die Haferernte KATASTER-DETAIL: Delta T (Juni) +, dann Erträge --; Änderungen um +1°C, dann Verminderung der Erträge um ~2,1 Zentner; Änderungen um +5°C, dann Verminderung der Erträge um 10 Zentner pro 1 ha
    Keywords: Niederbayern und Oberösterreich ; 1885-1925 ; Ertrag ; Hafer ; Korrelationsmethode ; Niederschlag ; Temperatur ; Witterung
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  • 32
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    In:  Anzeig. Schädlingskunde 9; p.29-34
    Publication Date: 1933
    Description: Der Autor beschreibt Beobachtungen über verschiedene schädigende und nicht schädigende Insekten im Acker- und Obstbau, sowie der Forstwirtschaft und versucht ihre Ursachen im Wetter des Jahres 1932 zu finden. KATASTER-BESCHREIBUNG: KATASTER-DETAIL:
    Keywords: Mecklenburg-Vorpommern ; 1932 ; Niederschlag ; Pflanzenschädling ; Temperatur ; Trockenheit ; Witterung
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  • 33
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    Univ. Grenoble, 290 pp.
    In:  Ph.D. Thesis, Grenoble, Univ. Grenoble, 290 pp., vol. 10, no. GL-TR-89-0230, pp. 95-134, (ISBN 3-933346-037)
    Publication Date: 1991
    Keywords: Seismicity ; Velocity depth profile ; Earth model, also for more shallow analyses !
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  • 34
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    Gruppo Nazionale di Geofisica della Terra Solida
    In:  Atti del 13. Convegno Annuale del Gruppo Nazionale di Geofisica della Terra Solida, Roma, Gruppo Nazionale di Geofisica della Terra Solida, vol. C 560, 183 pp., no. 70, pp. 13-24, (ISBN 3-933346-037)
    Publication Date: 1994
    Keywords: Subduction zone ; Italy ; Earth model, also for more shallow analyses ! ; Elasticity
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  • 35
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    Phillips Laboratory Air Force Systems Command
    In:  scientific report, Hanscom Air Force Base, Phillips Laboratory Air Force Systems Command, vol. 10, no. PL-TR-91-2215, pp. 5989-5994
    Publication Date: 1991
    Keywords: Earth model, also for more shallow analyses ! ; Nuclear explosion ; Seismology ; Velocity analysis ; Source ; Synthetic seismograms ; Velocity depth profile
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  • 36
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    Nauka i Tekhnika
    In:  Minsk, Nauka i Tekhnika, vol. 12, no. Subvol. b, pp. 220, (ISBN: 0-08-037951-6)
    Publication Date: 1991
    Keywords: Earth model, also for more shallow analyses ! ; Deep seismic sounding (espec. cont. crust) ; GeodesyY ; EUROPROBE (Geol. and Geophys. in eastern Europe)
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  • 37
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    Nauka
    In:  Professional Paper, Geodinamika i razvitiye tektonosfery, Moscow, Nauka, vol. 24, no. 231, pp. 6-17, (ISBN: 3-540-23712-7)
    Publication Date: 1991
    Keywords: Earth model, also for more shallow analyses ! ; Deep seismic sounding (espec. cont. crust) ; GeodesyY ; EUROPROBE (Geol. and Geophys. in eastern Europe)
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  • 38
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    In:  Geophys. J. Int., Houston, Akademie-Verlag, vol. 105, no. 1-2, pp. 801-804, pp. L08310, (ISSN: 1340-4202)
    Publication Date: 1991
    Keywords: Seismology ; ConvolutionR ; Earth model, also for more shallow analyses ! ; Broad-band ; Body waves ; earth mantle ; Plesinger ; Horalek ; GJI
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  • 39
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    Gruppo Nazionale di Geofisica della Terra Solida
    In:  Atti del 13. Convegno Annuale del Gruppo Nazionale di Geofisica della Terra Solida, Roma, Gruppo Nazionale di Geofisica della Terra Solida, vol. C 560, 183 pp., no. 78 (?), pp. 193-210, (ISBN 3-933346-037)
    Publication Date: 1994
    Keywords: Subduction zone ; Italy ; Earth model, also for more shallow analyses ! ; Elasticity
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  • 40
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    In:  Eos, Trans., Am. Geophys. Un., Trans. Am. Geoph. Union, supplement, Tokyo, Railway Tech. Res. Inst., vol. 72, no. 12, pp. 492, pp. B06403, (ISSN: 1340-4202)
    Publication Date: 1991
    Keywords: Geol. aspects ; Reflection seismics ; Seismology ; P-waves ; Low frequency ... ; Earth model, also for more shallow analyses ! ; Inhomogeneity
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  • 41
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    Universität Frankfurt/Main
    In:  Dissertation, München, Universität Frankfurt/Main, vol. 10, no. EL-1021R, pp. 1386-1387, (ISBN 3-933346-037)
    Publication Date: 1991
    Keywords: Seismology ; earth Core ; earth mantle ; P-waves ; Earth model, also for more shallow analyses !
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  • 42
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 39 (1991), S. 19-29 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A procedure for identifying redundancy in the Cartesian force constant matrix is described, and a prescription is given for generating the entire matrix of second derivatives from the minimal set of information. A proof is supplied which demonstrates that the number of nonredundant rows corresponding to a symmetry unique atom is necessarily less than three if the atom is invariant with respect to a symmetry operation of the point group other than the identity or inversion. Furthermore, only one row is required if the atom lies on a threefold or higher-order rotation axis. An application of the procedure to the evaluation of harmonic force constants by numerical differentiation of gradient vectors is briefly described.
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  • 43
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 39 (1991), S. 31-45 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: An intermediate neglect of differential overlap (INDO) model for elements of the second transition series is described. Values of exponents for the radial portion of the Slater basis atomic orbitals, the orbital ionization energies, and the beta (or bonding) parameters for these elements are reported. Use of the model to investigate equilibrium geometries, relative energy ordering of geometric isomers, spectroscopic transition energies, energy ordering of state wave functions of different symmetry, trends in dipole moments, and equilibrium stretching frequencies is reported. The results indicate that the INDO method is capable of yielding quality results for species containing atoms of the second transition series.
    Additional Material: 11 Tab.
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  • 44
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 39 (1991), S. 625-645 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The numerical properties of a two-dimensional integral representation [J. Grotendorst and E.O. Steinborn, Phys. Rev. A 38, 3857 (1988)] of the three-center nuclear attraction integral with a special class of exponential-type orbitals (ETO'S), the B functions [E. Filter and E.O. Steinborn, Phys. Rev. A 18, 1 (1978)] are examined. B functions span the space of ETO'S. The commonly occurring ETO'S can be expressed in terms of simple finite sums of B functions. Hence, molecular integrals for other ETO'S, like the more common Slater-type orbitals, may be found as finite linear combinations of integrals with B functions. The main advantage of B functions is the simplicity of their Fourier transform that makes the derivation of relatively simple general formulas for molecular integrals with the Fourier transform method possible. The integrand of the integral representation mentioned above shows sharp peaks causing, in the case of highly asymmetric charge distributions, slow convergence of the quadrature method used by Grotendorst and Steinborn. New quadrature schemes are presented that use quadrature rules based on Möbius transformations. These rules are well suited for the numerical quadrature of functions that possess a sharp peak at or near a single boundary of integration [H.H.H. Homeier and E.O. Steinborn, J. Comput. Phys., 87, 61 (1990)]. Numerical results are presented that illustrate the fact that convergence of the new quadrature schemes is about a factor two faster in case of highly asymmetric charge distributions.
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  • 45
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    International Journal of Quantum Chemistry 39 (1991), S. 681-688 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: An orbital transformation that minimizes the sum of the squares of the off-diagonal Hamiltonian elements between the singly excited configurations is described. The resulting single-excitations-adapted molecular orbitals (SEAMOS) are found to be very suitable for the description of electronic excited states. The test calculations on the singlet and triplet excited states of the N2, CO, and H2CO molecules are presented.
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  • 46
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    International Journal of Quantum Chemistry 39 (1991), S. 709-727 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A theoretical model based on physical, chemical, and biochemical mechanisms has been presented to evaluate the yields of DNA strand breaks (single and double) as a function of linear energy transfer (LET) or -dE/dx. Energetic heavy charged particles are considered explicitly to provide a general theory for low- as well as for high-LET radiation. There are three main features of the calculation: (a) track structure considerations for the energy deposition pattern, (b) three-dimensional structure of DNA molecules to provide information on the exact location of damage, and (c) a Monte-Carlo scheme to simulate the diffusion processes of water radicals. To avoid the complexities of a cellular medium, an aqueous solution of DNA is considered in the calculation. When the results of the calculations are compared with experimental measurements of the yields of strand breaks in mammalian DNA (exposed in a cellular complex), reasonable agreement is obtained. However, only those experimental data have been compared where there were no enzyme repair processes. The method of calculation has also been extended to study breaks in higher-order structures of DNA molecules such as chromatin. Specific limitations of the present model have been pointed out for making further improvements.
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  • 47
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    International Journal of Quantum Chemistry 39 (1991), S. 767-786 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Electronic aspects of the catalytic mechanism of liver alcohol dehydrogenase (LADH) are studied with the help of ab initio analytical gradient SCF MO methods. Three points are considered: (i) role of the catalytic zinc; (ii) geometry and electronic structure of the transition state for the hydride transfer reactions; and (iii) factors affecting the energy gap for the hydride transfer step, namely, substrate binding to zinc, reaction field, and serine 48 effects on the potential energy profile. The coordination sphere of the catalytic zinc has been modeled with an ammonia molecule and two SH- groups; complexes with CH3O-, CH3OH, and CH2O have been studied; a (6, 2, 2, 2, 1/6, 2, 1/3, 2) basis set has been used for Zn++; a (5, 2, 1, 1/3, 2) was used for oxygen, carbon, and sulfur; and a (3, 1) was used for hydrogen atoms. The hydride step was studied with two model systems: pyridinium cation/1,4-dihydropyridine coupled to the CH3O-/CH2O reaction, and cyclopropenyl cation/cyclopropene coupled to the CH3O-/CH2O system. For the latter, the role of Ser48 has been studied at the supermolecule level. The calculation on the hydride transfer step has been done at a 4-31G basis set level. The results obtained shed new light on the sources of catalytic activity of liver alcohol dehydrogenases.
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  • 48
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    International Journal of Quantum Chemistry 39 (1991), S. 839-849 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: We present a treatment of chemisorption that uses the Green matrix of the surface and the admolecule, as well as a cluster calculation of a small surface cluster. Since full HF-SCF-band structures with nonlocal exchange are available now for larger systems for a couple of years, it is possible to treat the substrate surface and the admolecule on equal footing. This offers a natural way to solve the embedding problem. We have applied the formalism to the adsorption of H2 on beryllium and show that in contrast to cluster calculations there appears a binding, which is experimentally verified.
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  • 49
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    International Journal of Quantum Chemistry 39 (1991), S. 211-226 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The electronic absorption spectra of 2-, 3-, and 4-vinylpyridines and 1,2-(2,3-dipyridyl), 1,2-(2,4-dipyridyl), 1,2-(3,4-dipyridyl), and 1,2-(4,4-dipyridyl) ethylenes have been investigated in polar and nonpolar solvents. A correlation has been made between the geometry of the molecule and the observed spectrum. Molecular orbital calculations have been carried out using the INDO/S—CI procedure and a limited geometry optimization. The solvent effect at the MO level has been calculated. MO calculations predicted the existence of nπ* transitions that were not observed experimentally. The wave functions of the different CI states were calculated. The experimental transition energy as well as oscillator strength corresponded satisfactorily with the calculated ones. The observed transitions were assigned according to the results of MO calculations.
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    International Journal of Quantum Chemistry 39 (1991) 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
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  • 51
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    International Journal of Quantum Chemistry 39 (1991), S. 251-267 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: From the speculations of G. N. Lewis in 1916, [J. Am. Chem. Soc. 38, 762 (1916)], the spectral predictions of R.S. Mulliken [Nature 122, 505 (1928)], and the quantum mechanical treatment by E. Hückel [Z. Phys. 60, 423 (1930)], the three lowest states of molecular oxygen (3Σg-, 1Δg, and 1Σg+) remained spectroscopic elusives until Gerhard and Lisa Herzberg [G. Herzberg, Nature 133, 759 (1934); L. Herzberg and G. Herzberg, Astrophys. J. 105, 353 (1947); G. Herzberg and L. Herzberg, Astrophys. J. 108, 167 (1948)], precisely defined them by observed infared transitions. The excited singlets remained of interest mainly to atmospheric spectroscopists and astrophysicists, and research on these species was scarce. The discovery in 1963 by A.U. Khan and M. Kasha [J. Chem. Phys. 39, 2105 (1963)] of the simple chemical production of singlet molecular oxygens by the aqueous reaction of hydrogen peroxide and hypochlorite released an explosion of research on the neglected species. Fifteen research symposia and research treatises confirm the broad range of chemical activities of singlet oxygen. The extension to biological systems is now proceeding, with surprising evidence of involvement of natural processes, including the action of singlet oxygen in white blood cell phagocytosis.
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    International Journal of Quantum Chemistry 39 (1991), S. 371-386 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: We propose 10 desirable features or criteria for general purpose methods to be applied to the calculation of a range of spectroscopic properties. We discuss the second-order polarization propagator approximation (SOPPA) in light of these criteria by giving the actual computational expression used as well as a few numerical examples taken from the theory of NMR spectra (magnetic shieldings and spin-spin coupling constants). We demonstrate that SOPPA comes close to fulfilling these criteria.
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    International Journal of Quantum Chemistry 39 (1991), S. 423-436 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A method for analyzing asymmetric top rovibrational bands displaying both blended and resolved features is described. The two-phase computational procedure uses a modified version of the asymmetric rotor-band contour program FASTPLOT to generate a preliminary set of upperstate spectroscopic constants. The parameters are subsequently refined by employing the assigned line-fitting formalism of the ASYROT program using both resolved and blended features. The technique is detailed in a comprehensive analysis of the ν17 band of pyridine. Inclusion of quartic centrifugal distortion constants was found to satisfactorily model a high-resolution (0.004 cm-1) spectrum of this band, yielding a standard deviation of 0.00137 cm-1. The variation in the rotational parameters with vibrational quantum number is examined in terms of possible weak rovibrational perturbations to the ν17 state. An ab initio calculation of the ν17/ν27 Coriolis coupling constant indicates the observed results are consistent with the interaction of these two vibrational states.
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    International Journal of Quantum Chemistry 39 (1991), S. 521-521 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
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    International Journal of Quantum Chemistry 39 (1991), S. 173-181 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: An original procedure has been developed to determine the eigenvalues and the eigenfunctions of quantum-mechanical many-body systems with a harmonic oscillator interaction. Exact solutions in the explicit form have been obtained for the case of systems containing three groups of identical particles. For the system containing two groups of identical particles, a solution in the adiabatic approximation has been obtained and compared with the exact one.
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    International Journal of Quantum Chemistry 39 (1991), S. 229-229 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
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    International Journal of Quantum Chemistry 39 (1991), S. 233-233 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
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    International Journal of Quantum Chemistry 39 (1991), S. 331-344 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
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    Topics: Chemistry and Pharmacology
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    International Journal of Quantum Chemistry 39 (1991), S. 1-2 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
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    International Journal of Quantum Chemistry 39 (1991), S. 93-113 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The excitation and ionization spectra of RuO4 and OsO4 are studied theoretically by the symmetry-adapted cluster (SAC) and SAC-CI theories. This is the attempt to assign whole of the spectra by ab initio calculations including electron correlations. In the ground state, electron correlations work to reduce the polarity of the M-O bond overestimated in the Hartree-Fock calculation. The Os-O bond is stronger than is the Ru-O bond, which is reflected in the differences of the excitation and ionization spectra of RuO4 and OsO4. The excitation energies of the experimental spectra are well reproduced by the SAC-CI theory, though the calculated intensities of some peaks are very small in comparison with the experiments. The outer-valence ionization spectra calculated by the SAC-CI theory agree well with the experimental photoelectron spectra. Some shake-up peaks that are accompanied with an electron-transfers from oxygen to metal are also calculated.
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    International Journal of Quantum Chemistry 39 (1991), S. 159-162 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The dependence of the rainbow angle on the depth of the potential well, the equilibrium distance, andthe force constant of the potential are discussed for several potential functions.
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    International Journal of Quantum Chemistry 39 (1991), S. 183-196 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: An exact, within the Born-Oppenheimer approximation, body-fixed Hamiltonian for the nuclear motions of a triatomic system is presented. This Hamiltonian is expressed in terms of two arbitrarily defined internal distances and the angle between them. The body-fixed axis system is related to these coordinates in a general fashion. Problems with singularities and the domain of the Hamiltonian are discussed using specific examples of axis embedding. A number of commonly used coordinate systems including Jacobi, bond-length-bond-angle, and Radau coordinates are special cases of this Hamiltonian. Sample calculations on the H2S molecule are presented using all these and other coordinate systems. The possibility of using this Hamiltonian for reactive scattering calculations is also discussed.
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    International Journal of Quantum Chemistry 40 (1991), S. 1-2 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
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    International Journal of Quantum Chemistry 40 (1991), S. 33-53 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A behavior of a quantum rigid and pointlike dipole in a permanent electric field is under study. A dependence of a number of librational energy levels on the strength of the electric field is investigated on the basis of some rigorous results for the appropriate normal Jacobian matrices.
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    International Journal of Quantum Chemistry 40 (1991), S. 139-148 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A very simple modification of the usual (∼N4) SCF procedure is proposed, permitting the exclusion of basis set superposition errors (BSSE) in problems of intermolecular interactions. No a posteriori corrections are required. The results of this “CHA/F method” are numerically close to those of the Boys-Bernardi correction scheme but are free from the “overcompensation” characteristic of the latter at smaller distances.
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    International Journal of Quantum Chemistry 40 (1991), S. 243-264 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The singly excited functions satisfying Brillouin theorem are expressed as linear combinations of configuration-state functions for any spin and spatial symmetries (atomic or molecular) and for any reference wave function. The generality of the formulation is ensured by the use of the irreducible tensor method that can be adapted to any symmetry point group of interest. The expansion coefficients are simply written as products of fractional parentage coefficients, spin- and orbit-recoupling coefficients, and phase factors. The formalism is illustrated for some atomic (Kh) and molecular (C∞v, C3v, and Td) configurations. Group theoretical techniques are also used to correlate the Brillouin conditions within a chain of groups.
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    International Journal of Quantum Chemistry 40 (1991), S. 299-304 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A model for catecholamine storage in vesicles is analyzed within the SCRF-CNDO/2 approach including continuum solvent effects. The model considers the approach of cationic norepinephrine (NE) to a positively charged guanidinium moiety. Ion-pair formation is found for the whole range of dielectric constants. Even though stable states of H-bonded partners are found for large dielectric constants, this process is ruled out to occur because it involves too high energies. It appears that the medium's polarity is determinant in lowering the energy barrier between the ion-pair complex and the separated partners. Thus, as the medium dielectric constant increases, the equilibrium between the two states is enhanced.
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    International Journal of Quantum Chemistry 39 (1991), S. 519-519 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
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    International Journal of Quantum Chemistry 39 (1991), S. 487-517 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: We present a general method of implementing the kinetic balance condition within the Dirac-Fock (DF) self-consistent field (SCF) formalism for closed-shell molecular structure. We review the steps leading to the derivation of DF SCF equations for closed-shell molecules, particularly as formulated by Matsuoka et al. In the present approach, the large component of the molecular spinors are expanded in terms of atomic basis spinors of spherical-type Gaussian functions, with the small component related to the large component by the kinetic balance condition. It is shown that imposing the kinetic balance condition on geometric Gaussian-type basis functions allows us to obtain the Fock matrix elements, involving both the large and the small components, form the standard nonrelativistic Cartesian-type matrix elements. By using properties of orthogonal polynomials, the solid spherical harmonics are expressed in Cartesian form, thus providing a general basis for transformation of one- and two-electron-matrix elements, obtained from a Cartesian Gaussian-type basis, to a spherical Gaussian-type basis. The advantages of using kinetically balanced geometric Gaussian-type basis functions in molecular DF calculations including finite-size nucleus effects are emphasized. For the sake of completeness, we have added in an appendix corrections to the nuclear attraction matrix elements for the finite-size nucleus already derived by Matsuoka.
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
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    Topics: Chemistry and Pharmacology
    Notes: Recently we extended our strategy for MRD-CI (multireference double excitation-configuration interaction) calculations, based on localized/local orbitals and an “effective” CI Hamiltonian, for molecular decompositions of large molecules to breaking a chemical bond in a molecule in a crystalline or other solid environment.Our technique begins with an explicit quantum chemical SCF calculation for a reference molecule surrounded by a number of other molecules in the multipole environment of more distant neighbors. The resulting canonical molecular orbitals are then localized, and the localized occupied and virtual orbitals in the region of interest are included explicitly in the MRD-CI with the remainder of the occupied localized orbitals being folded into an “effective” CI Hamiltonian. The MRD-CI calculations are then carried out for breaking a bond in the reference molecule. This method is completely general in that the space treated explicitly, as well as the surrounding space, may contain voids, defects, deformations, dislocations, impurities, dopants, edges and surfaces, boundaries, etc.Dimethylnitramine is the smallest prototype of the energetic R2N - NO2 nitramines, such as the 6-member ring RDX or the 8-member ring HMX. Decomposition of energetic compounds is initiated in the solid by a breaking of the target bond. Thus, it is crucial to know the difference in energy between breaking a bond in an isolated energetic molecule versus in the molecule in a solid. In the present study, we have carried out MRD-CI calculations for the Me2N - NO2 dissociation of dimethylnitramine in a dimethylnitramine crystal. The cases we investigated were one dimethylnitramine molecule (surrounded by 53 and 685 neighboring dimethylnitramine molecules represented by multipoles), three dimethylnitramine molecules, and three dimethylnitramine molecules (surrounded by 683 neighbors). All multipoles were cumulative atomic multipoles up through quadrupoles. The MRD-CI calculations on dimethylnitramine required large numbers of reference configurations from which were allowed all single and double excitations.
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    International Journal of Quantum Chemistry 39 (1991), S. 667-679 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The frequency-dependent dipole polarizability, α(E), is calculated using the second-order polarization propagator approximation (SOPPA). We have shown how to express α(E) as a function of E2 and thus obtained a form of α(E) that can be used to compute C6-coefficients without invoking complex arithmetic. For He we find that SOPPA recovers a large fraction of the correlation contribution for all frequencies, whereas for H2 where the correlation contributions are much smaller and also basis set-dependent, we find a less definite trend of SOPPA relative to RPA.
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    International Journal of Quantum Chemistry 39 (1991), S. 71-91 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The usefulness of the MS-Xα method for calculating molecular transition properties is investigated in a study of NO2. Two-dimensional potential surfaces are obtained in C2v symmetry for the X̃2A1/Ã2B2 system. Potential curves that approximately follow the asymmetric stretch coordinate are also presented: On investigation, no symmetry-broken solutions were found. At all nuclear geometries investigated, the muffin-tin sphere radii were chosen by an energy-minimization technique. The inclusion of corrections to the muffin-tin form of the Xα total energy is shown to be essential, if the computed surfaces are to be qualitatively correct. The transition dipole moment connecting the two states is evaluated as a function of nuclear coordinates, using the transition-state approximation. Finally, the radiative decay of a single vibronic level in NO2 is modeled and the relevance to experiment is discussed.
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    International Journal of Quantum Chemistry 39 (1991), S. 131-147 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Nonempirical quantum chemical method Hartree-Fock-Roothan LCAO SCF MO in a two-exponent Dunning basis with the use of an extended set of Gaussian functions by Huzinaga-Dunning with consideration of electron correlation according to the Meller-Plesset theory of excitations of the second order was used to study monohydrates of Li+, Na+, K+, and HCOO- ions. The indicated basis was supplemented with polarization functions of d-type on the O atom and of p-type on the hydrogen atom as well as with diffusion functions of p-type on the oxygen atom. It has been found that binding energies of the water molecule with Li+, Na+ appeared to be higher and with K+ lower than with HCOO- · H2O. Potential curve shapes of K+ + H2O and HCOO- + H2O reactions are shown to be similar. The molecular mechanism of K+ channel selectivity of an excitable membrane is explained on the basis of the obtained calculations.
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    International Journal of Quantum Chemistry 39 (1991), S. 287-298 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: In flow tube studies of the quenching of O2(b1Σg+), broad band emission of O2(b):M collision complexes was found to appear under the discrete rotational lines of the 0-0 band of the b1Σg+ → a1Δg electric quadrupole transition at higher oxygen pressures and on addition of foreign gases. Bimolecular rate constants for the collision-induced emission processes have been derived from the ratio of the intensities of the discrete lines and the continuum as well as from low-resolution measurements of the relative intensities of the b → a and b → X bands as a function of O2 and added gas pressure. They range from ≈10-21 cm3 s-1 for He to ≈4 × 10-19 cm3 s-1 for PCl3 vapor.
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  • 75
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    International Journal of Quantum Chemistry 39 (1991), S. 523-539 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: We present a model system for the study of curve-crossing situations in diatomic molecules. All model parameters are determined by the potential energy topology. No coupling functions are fitted. The standard approximation schemes (Born-Oppenheimer approximation, adiabatic approximation, and the generator coordinate approximation) are then applied. The result of these numerical experiments suggest that the generator coordinate approximation is able to remove 80%-90% of the nonadiabatic effect on all levels throughout the crossing region.
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  • 76
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    International Journal of Quantum Chemistry 39 (1991), S. 593-604 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: An expression for the product of a single-cycle class [(1)N - P(p)]N and an arbitrary class [(1)l1(2)l … (N)lN]N of the symmetric group has recently been conjectured. This expression involves a sum over a relatively small number of reduced class sums, depending on p indices. A further conjecture is formulated and demonstrated, according to which reduced class coefficients (RCCS) involving cycles whose length is expressed by means of a single index can be related to corresponding coefficients in the product of [(1)N - P+1(p - 1)]N with an arbitrary class sum. Consequently, the problem of evaluating the general class sum product reduces to that of obtaining a relatively small set of fundamental RCCS containing no single-index cycles. The conjectures mentioned can be used to evaluate the product [(1)N - p(p)]N · [(1)N - q(q)]N in terms of fundamental RCCS that can all be obtained from the product [(r)]r · [(r)]r, where r = min(p, q). For the latter product, we use a result due to Boccara.
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  • 77
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    International Journal of Quantum Chemistry 39 (1991) 
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  • 78
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    International Journal of Quantum Chemistry 39 (1991), S. 647-647 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
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  • 79
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    International Journal of Quantum Chemistry 39 (1991), S. 345-352 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The near-ultraviolet spectrum of a dinaphthonorbornadiene is reported and is interpreted using simple exciton theory that treats this molecule as a dimer of naphthalene. It shows examples of weak, intermediate, and strong coupling for the interaction of the three observed bands of naphthalene.
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  • 80
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    International Journal of Quantum Chemistry 39 (1991), S. 387-397 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Coherent dynamics of multilevel systems is of interest for the elucidation of energy disposal and multiphoton chemistry of polyatomic molecules. We compare the analytical solutions for coherent multiphoton excitation of two sparse multilevel model systems: (1) The spin-J system consisting of N = (2J + 1) equally spaced levels with the radiative coupling being determined by the xth component of the angular momentum. (2) The equally coupled N level system. The transition amplitudes for system (1) are always periodic, which is in contrast to the nonperiodic behavior exhibited by system (2) for N 〉 3.
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  • 81
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    International Journal of Quantum Chemistry 39 (1991), S. 437-447 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A formulation is presented of the effects of van der Waals interaction on infrared intensities. The theory takes account of induction and dispersion interactions (including charge interpenetration) and is applicable to fluids of arbitrary density. The transition moments are developed from generalized van der Waals-induced moments, and expressions are obtained for the adsorption coefficient in terms of generalized charge densities and charge-density (hyper)susceptibilities. Explicit expressions are given also of the integrated absorption coefficient in terms of multipoles, and (hyper)polarizabilities and their derivates, and the usefulness of this formulationin interpreting experimental data is illustrated by several examples. The relevance of the induction and dispersion interactions to allowed and to forbidden transitions made allowed is discussed.
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  • 82
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    International Journal of Quantum Chemistry 39 (1991), S. 455-486 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The interaction between theory and experiment in the field of molecular core electron spectroscopies is reviewed. Those aspects that distinguish the theoretical descriptions of core and valence electron spectra are analyzed in particular. Differences in the theoretical approaches to atomic and molecular spectra in terms of scattering and many-body theories are commented on. The molecular core electron spectroscopies are analyzed from a common point of view with respect to molecular orbital theory, many-body theory, and the role of localization and local selection rules. A brief analysis is presented for the particularities that enter the calculations of core hole spectra. Solutions are described to computational problems posed by the quasi-bound, highly excited nature of core hole states and by the large electronic relaxation following their creation. Two areas where the interaction between theory and experiment is particularly fruitful are briefly reviewed, namely, the theory of vibronic excitations in core electron spectra and the theory of the core photoelectron chemical shift.
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  • 83
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    International Journal of Quantum Chemistry 39 (1991), S. 585-592 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A non-local generalization K(r, r') of the kinetic energy t(r) such that t(r) = ∫K(r, r') dr' is defined using the idempotency property of the Hartree-Fock first-order density matrix. This is, in turn, related by means of an explicit differential equation to the non-local exchange energy density X(r, r'). The relationship is illustrated for a couple of examples: with the Fermi-hole in a uniform electron gas, of importance in the local density version of density functional theory, and with inhomogeneous electron systems.
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    International Journal of Quantum Chemistry 39 (1991), S. 605-613 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The total energies, in the Hückel theory, of a large number of polyhex molecules and some containing a four-membered ring have been calculated and analyzed. The results confirm that within a set of isomers the number of Kekulé structures is the dominant variable. It is proposed that this term should be recognized as the aromatic term. The remaining contributions to the energy can be attributed to local features of the molecule. Comparison with the Hess-Schaad analysis of the same energies indicates that this treatment is simpler, more complete, and closer to the original concept of aromaticity.
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    International Journal of Quantum Chemistry 39 (1991) 
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  • 86
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    International Journal of Quantum Chemistry 39 (1991), S. 11-17 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The common quantum mechanical problem for the total class of saturated hydrocarbons has been stated and solved within the framework of the effective Hamiltonian method. A quantum mechanical substantiation of the transferability of the electronic structure characteristics (bond dipole moments, bond energies, and bond force constants) as well as the investigation of the origin of transferability have been considered for the stated class of chemical compounds.
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    International Journal of Quantum Chemistry 39 (1991), S. 59-70 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
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    Topics: Chemistry and Pharmacology
    Notes: Simple net sign analysis has been carried out for particle in one- and two-dimensional boxes and harmonic oscillators. The conclusion that no simple rule for the ordering of eigenvalues of two-dimensional systems can be drawn is conjectured. Cyclobutadiene, naphthalene, benz-cyclobutadiene, biphenylene, biphenyl, and p-terphenyl are found to behave topologically as particle in either type of potential. Benzene, anthracene, naphthacene, and pentacene are found to behave topologically as particle in a two-dimensional harmonic oscillator. This analysis provides the physical basis for the net sign approach in the signed graph theory.
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    International Journal of Quantum Chemistry 39 (1991), S. 123-130 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: We propose a fomula that directly gives an estimate of the value of a Gaussian integral through only one multiplication. Using this formula, we may neglect about 60%-80% of integrals in quantum chemical ab initio calculations, without any loss in precision theoretically. Such a large molecule as ATP with 183 STOS using the STO-2G method has been calculated utilizing this technique, and only 31 CPU hours of VAX 11/730 were spent on integrals.
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    International Journal of Quantum Chemistry 39 (1991), S. 163-172 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
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    Topics: Chemistry and Pharmacology
    Notes: A basis set of evenly spaced S-type Gaussian functions with common exponents is examined. Formulas for common one- and two-electron integrals are derived. Because of thesymmetry of this basis set, a very compact two-electron integral list is produced. The number of two-electron integrals that must be stored is approximately eight times the number of basis functions. Use of this basis set in an SCF calculation is examined. Numerical results show that this approach works well for molecules containing only small atoms such as hydrogen, helium, or lithium, but that the method has problems with the core orbitals of heavier atoms. Procedures for augementing this basis set in calculations involving heavier atoms are examined.
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    International Journal of Quantum Chemistry 39 (1991), S. 227-228 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
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  • 91
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    International Journal of Quantum Chemistry 39 (1991), S. 231-231 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
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  • 92
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
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    Topics: Chemistry and Pharmacology
    Notes: The correlated, size-consistent, ab initio effective valence-shell dipole operator (μv) method is used to calculate dipole moments and transition dipole moments of the CH molecule and transition dipole moments of the CH+ ion as a function of internuclear distance. The dipole and transition dipole moments computed here compare well with those of other accurate ab initio methods. The transition dipole moments are then used to calculate oscillator strengths and radiative lifetimes for the A → X and B → A transitions of the CH+ ion and the A → X transition of the CH molecule. Comparisons are made with the best available theoretical and experimental lifetimes. Finally, the CH ground-state dipole moment function is used to evaluate overtone intensities and to examine simple models of the CH overtone intensities in polyatomic molecules.
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    International Journal of Quantum Chemistry 39 (1991), S. 299-308 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Mulliken's model for the intensity of charge-transfer absorption bands in donor/acceptor complexes is extended to transition-metal compounds. Attention is focused on the analysis of systems containing a central metal ion and symmetrically equivalent π-acceptor ligands. The theory is illustrated for a one-donor/two-acceptor complex in D2d point symmetry. Results are stated for symmetries of commonly occurring transition-metal compounds that display well-documented metal-to-ligand charge-transfer transitions.
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    International Journal of Quantum Chemistry 39 (1991), S. 325-330 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
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    Topics: Chemistry and Pharmacology
    Notes: Drawing on the results of an analysis of the nature of the pulse that generates complete transfer of population from one to another level in a system with a discrete spectrum, a generalization of the method of stimulated emission pumping is proposed. It is shown that a small subset of the Fourier components of the optimal pulse will, if their relative amplitudes are the same as in the optimal pulse, generate almost as efficient a population transfer, thereby generating the opportunity to prepare a system in a selected state with a selected population.
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    International Journal of Quantum Chemistry 39 (1991), S. 309-324 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Model studies are reported aimed at accounting for the abrupt dependence of radiationless decay-rate constants on excess energy (known as channel-three decay in the case of S1 benzene) in singlet and triplet manifolds of benzene and azabenzenes. The favored model involves La(ππ*) state, strongly distorted along an out-of-plane coordinate, crossing the ground-state potential at an energy close to the minimum of the lowest excited state. The results are compared with experimental observations on benzene and three azabenzenes. Implications for photochemical reactions are also discussed.
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    International Journal of Quantum Chemistry 39 (1991), S. 353-370 
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    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: In this paper, the density matrix formalism has been applied to treat ultrafast time-resolved absorption spectroscopy. We have shown that in the femto-second (fs) pump-probe experiments, the observed time-resolved absorption spectra consist of the contributions from the population (i.e., incoherent contribution) and the coherence (i.e., the phase of the system). The adiabatic approximation has been used to derive the expressions for ultrafast time-resolved spectra. We have also shown that the dynamics of the coherence will result in quantum beat. Numerical calculations have been performed to demonstrate the theoretical results.
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    International Journal of Quantum Chemistry 39 (1991), S. 411-422 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: C6H6 Raman scattering activities calculated from harmonic model ab initio Hartree-Fock 6-311 ++ G(d, p) polarizability derivatives (and harmonic force fields calculated at the same level) accurately simulate experiment (to within 1% for the a1g modes). Accurate predictions are also made for the e2g modes (to within 5% for ν7 and ν9, and more poorly for ν6 and ν8 [in Fermi resonance with ν6 + ν1]) and for the e1g out-of-plane mode, ν10. Only the ν6 in-plane CCC bending mode scattering activity is found to be anomalous. Systematic variation of the basis set indicates that the benzene scattering activities and depolarization ratios are strongly dependent on inclusion of both carbon and hydrogen atom diffuse functions in the basis set. Predictions are also made for 12C6D6 and for unmeasured intensities in 13C6H6. Measurements of a1g mode scattering activities in the latter molecule are predicted to be useful in testing the harmonic Hartree-Fock Raman intensity model.
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    International Journal of Quantum Chemistry 40 (1991), S. 347-360 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Any matrix can be expanded on a basis of SU(2) normalized irreducible tensorial matrices, NITM, defined in terms of 3-j symbols or coupling coefficients of SU(2). The NITM transform under rotations according to Wigner's matrices. If one dimension of an NITM is odd and the other even, the tensor has half-integer rank. A simple NITM basis consists of all NITM having the same numbers of rows and columns as the expanded matrix. A compound NITM basis consists of two or more simple bases, each spanning a corresponding block in the expanded matrix. The choice of NITM basis for expanding an effective Hamiltonian matrix is a crucial step in formulating a model. To illustrate the use of a compound NITM basis, including nonsquare NITM, an effective sp-type overlap-free superposition Hamiltonian is constructed and applied to the photoelectron ionization potential spectrum of water.
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    International Journal of Quantum Chemistry 40 (1991), S. 409-414 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: In a recent work, Csvinszky formulated a variational density-functional approach for the investigation of the spatial generalization of Kato's theorem by March. In the previous work, a 10-electron model system (filled K and L shells) was considered. In the present work, the investigation is extended to two other cases: a 28-electron model system (filled K, L, and M shells) and a 60-electron model system (filled K, L, M, and N shells). As in the previous work, several expressions are adapted for the kinetic-energy functional of the electrons and the intriguing question of identifying the “best” kinetic-energy functional is raised and discussed.
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    International Journal of Quantum Chemistry 40 (1991), S. 421-428 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A new type of correlation functional derived from the second-order expression for the correlation energy of an atom is proposed. The derived correlation potential contains one free parameter, which is determined by fitting the known pair correlation energy. The calculations with this potential in the Kohn-Sham approximation give rather accurate values for the matrix elements of different operators.
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