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  • 1975-1979  (9)
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  • 1
    Electronic Resource
    Electronic Resource
    Quintets in P\overline{1}: probabilistic theory of the five-phase structure invariant in the space group P\overline{1} (1977)
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 33 (1977), S. 829-833 
    Details
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: It is assumed that a crystal structure in P{\bar 1} is fixed and that the 15 non-negative numbers R1, R2, R3, R4, R5; R12, R13, R14, R15, R23, R24, R25, R34, R35, R45 are also specified. The random vector (h, k, l, m, n) is assumed to be uniformly distributed over the subset of the fivefold Cartesian product W × W × W × W × W of reciprocal space W defined by |Eh| = R1, |Ek| = R2, |El| = R3, |Em| = R4, |En| = R5; (1) |Eh + k| = R12, |Eh + l| = R13, |Eh + m| = R14, |Eh + n| = R15, |Ek + l| = R23 |Ek + m| = R24, |Ek + n| = R25, |El + m| = R34, |El + m| = R35, |Em + n| = R45; (2) and h + k + l + m + n = 0. (3) Then the structure invariant (φ = φh + φk + φl + φm + φn, (4) as a function of the primitive random variables h, k, l, m, n, is itself a random variable, and its conditional probability distribution, given (1) and (2), is derived. The distribution yields reliable estimates for large numbers of quintets φ in terms of the 15 magnitudes (1) and (2).
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1107/S0567739477002009
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Quintets: a joint probability distribution of fifteen structure factors (1977)
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 33 (1977), S. 572-575 
    Details
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: It is assumed that a crystal structure in P1 is fixed and that the random variables (vectors) h, k, l, m, n are uniformly and independently distributed over the subset of reciprocal space defined by h + k + l + m + n = 0. Then the 15 structure factors Eh, Ek, El, Em, En, Eh + k, Eh + l, Eh + m, Eh + n, Ek + l, Ek + m, Ek + n, El + m, El + n, Em + n as functions of the primitive random variables h, k, l, m, n, are themselves random variables, and their joint probability distribution is found. This distribution plays the central role in the theory and estimation of the five-phase structure invariants φh + φk + φl + φm + φn.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1107/S0567739477001466
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  • 3
    Electronic Resource
    Electronic Resource
    Quintets: the probabilistic theory of the structure invariant φh + φk + φl + φm + φn (1977)
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 33 (1977), S. 575-580 
    Details
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: It is assumed that a crystal structure in P1 is fixed and that the 15 non-negative numbers R1, R2, R3, R4, R5; R12, R13, R14, R15, R23, R24, R25, R34, R35, R45 are also specified. The random variables (vectors) h, k, l, m, n are assumed to be uniformly and independently distributed in the regions of reciprocal space defined by |Eh| = R1, |Ek| = R2, |El| = R3, |Em| = R4, |En| = R5; (1) |Eh + k| = R12, |Eh + l| = R13, |Eh + m| = R14, |Eh + n| = R15, |Ek + l| = R23, |Ek + m| = R24, |Ek + n| = R25, |El + m| = R34, |El + n| = R35, |Em + n| = R45: (2) and h + k + l + m + n = 0. (3) Then the structure invariant φ = φh + φk + φl + φm + φn, as a function of the primitive random variables h, k, l, m, n, is itself a random variable, and its conditional probability distribution, given (1) and (2), is derived. The distribution leads to estimates for cos φ in terms of the 15 magnitudes (1) and (2).
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1107/S0567739477001478
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  • 4
    Electronic Resource
    Electronic Resource
    Sextets in P1: The joint probability distribution of thirty-one structure factors (1977)
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 33 (1977), S. 694-696 
    Details
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: It is assumed that a crystal structure in P1 is fixed and that the random variables (vectors) h, k, l, m, n, p are uniformly and independently distributed over the subset of reciprocal space defined by h + k +l + m + n + p = 0. Then the 31 structure factors Eh, Ek, . . . ., Ep; Eh + k, Eh + l, . . ., En + p; Eh + k + l, Eh + k + m, . . ., Eh + n + p, as functions of the primitive random variables h, k, l, m, n, p, are themselves random variables, and their joint probability distribution is found. This distribution plays the central role in the theory and estimation of the six-phase structure invariant φh + φk + φl + φm + φn + φp
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1107/S0567739477001788
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  • 5
    Electronic Resource
    Electronic Resource
    Sextets in P1: The probabilistic theory of the six-phase structure invariant φ = φh + φk + φl + φm + φn + φp (1977)
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 33 (1977), S. 697-701 
    Details
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: It is assumed that a crystal structure P1 is fixed and that the 31 non-negative numbers R1, R2, . . ., R6; R12, R13, . . ., R56; R123, R124, . . ., R156 are also specified. The random variables (vectors) h, k, 1, m, n, p are assumed to be uniformly and independently distributed in the regions of reciprocal space defined by and |Eh| = R1, |Ek| = R2, . . . , |Ep| = R6; (1) |Eh + k| = R12, |Eh + l| = R13, . . . , |En + p| = R56; (2) |Eh + k + l| = R123, |Eh + k + m| = R124, . . . , |Eh + n + p| = R156; (3) and h + k + l + m + n + p = 0. (4) Then the structure invariant φ = φh + φk + φl + φm + φn + φp, as a function of the primitive random variables h, k, l, m, n, p, is itself a random variable, and its conditional probability distribution, given (1), (2) and (3), is derived from the main result of the previous paper [equation (3.1); Fortier & Hauptman (1977). Acta Cryst. A33, 694-696.] and compared with the distribution when only (1) is given. The distribution leads to estimates for cos φ in terms of the 31 magnitudes (1), (2) and (3).
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1107/S056773947700179X
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  • 6
    Electronic Resource
    Electronic Resource
    The crystal structure of the 5-oxotricyclo[2.2.1.02,6]heptane-3-carboxylic acid stereoisomer: an exercise in the application of a new automatic phasing procedure (1979)
    Copenhagen : International Union of Crystallography (IUCr)
    Acta crystallographica 35 (1979), S. 2062-2066 
    Details
    ISSN: 1600-5740
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1107/S0567740879008463
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  • 7
    Electronic Resource
    Electronic Resource
    Stramonin-B (1979)
    Copenhagen : International Union of Crystallography (IUCr)
    Acta crystallographica 35 (1979), S. 1742-1744 
    Details
    ISSN: 1600-5740
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1107/S0567740879007640
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  • 8
    Electronic Resource
    Electronic Resource
    (±)-6-epi-Eriolanin (1979)
    Copenhagen : International Union of Crystallography (IUCr)
    Acta crystallographica 35 (1979), S. 1903-1905 
    Details
    ISSN: 1600-5740
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1107/S0567740879008050
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  • 9
    Electronic Resource
    Electronic Resource
    Thromboxane molecules do not adopt the prostaglandin hairpin conformation (1979)
    [s.l.] : Nature Publishing Group
    Nature 281 (1979), S. 237-238 
    Details
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] Thromboxane B2 was crystallised from ethyl acetate as colourless, transparent, monoclinic laths following suggestions offered by Hanessian4. The space group is ?21? with unit cell data a = 9.971(3), b = 40.45(2), c = 5.510(2) ?, = 102.5(1), ? = 4, £)obs (flotation) = 1.14 lg cm3, Z〉cak= ...
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1038/281237a0
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