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  • Wiley-Blackwell  (6,888)
  • International Union of Crystallography (IUCr)  (1,258)
  • 1975-1979  (8,146)
  • 1950-1954
  • 1976  (8,146)
Collection
Years
  • 1975-1979  (8,146)
  • 1950-1954
Year
  • 1
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 9 (1976), S. 57-57 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
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  • 2
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 9 (1976), S. 58-58 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
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  • 3
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 9 (1976), S. 184-184 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: The chemical preparation of Pb3(P3O9)2.3H2O is described and crystal data are given. Lead trimetaphosphate trihydrate is tetragonal with a = b = 11.957, c = 12.270 Å. The space group is P41212 or P43212.
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  • 4
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 9 (1976), S. 185-185 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
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  • 5
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 9 (1976), S. 34-38 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: X-ray reflection topographs were taken of a zinc surface oriented about 1° from a basal plane. Basal dislocations are revealed in the topographs, and their apparent depth was determined using stereo pairs of topographs. The apparent depths observed in a complimentary pair of topographs using 10\bar 13 and \bar 1013 reflections were significantly greater than those observed in an asymmetric pair of topographs in which the same 10\bar 13 reflection was used. This difference is attributed to shifts of the image with respect to the dislocation position. Quantitative estimates of the image shifts and the actual depths of the observed dislocations are obtained from the measurement of apparent depths. Dislocations are visible over the range of depths from 1.7 to 4.5 μm.
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  • 6
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 9 (1976), S. 42-47 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: The absolute polarity of single crystals of α-Cu(IO3)2 and Nd(IO3)3.H2O, determined by anomalous X-ray scattering techniques, has been related to the sense of the piezoelectric d22 and pyroelectric p2 coefficients in these monoclinic crystals. The absolute sense of d22 in both cases is predictable from a consideration of the behavior of the spontaneous polarization Ps under stress. Ps was calculated on the basis of a simple point-charge and dipole model. The positive sense of p2 in α-Cu(IO3)2 and Nd(IO3)3.H2O (each with magnitudes of about 2 x 10−5Cm−2deg−1: the secondary pyroelectric coefficients are probably nearly an order of magnitude smaller) allows the inference that |Ps| increases with increasing temperature. The absolute sense of d33 in hexagonal LiIO3, determined by Morosin [Private communication (1972) quoted as Ref. 25 of Bergman, J. G. & Crane, G. R. (1974). J. Chem. Phys. 60, 2470–2474] is similarly predictable from the calculated Ps. Turner's [J. Appl. Cryst. (1976). 9, 52] measurement of p3 in LiIO3 combined with Ps also leads to the inference of increasing |Ps| with temperature.
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  • 7
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 9 (1976), S. 52-53 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: Crystal data for TPPO and BDPPO complexes with cobalt (II) thiocyanate, space group R32 (a = 17.50±0.06 Å, b = 30.99±0.08 Å) and Pbcn (a = 10.10±0.01 Å; b = 20.22±0.03 Å; c= 18.94±0.01 Å), respectively, suggest C2 as the only compatible symmetry for both complexes. Optical, morphological and X-ray powder data are given.
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  • 8
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 9 (1976), S. 57-58 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
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  • 9
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 9 (1976), S. 59-59 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
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  • 10
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 9 (1976), S. 60-61 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
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  • 11
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 9 (1976), S. 61-62 
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    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
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  • 12
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 9 (1976), S. 81-94 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: A procedure is described for the digital processing of fibre diffraction patterns to yield a quasi-continuous map representing a central section through the cylindrically averaged intensity transform of the specimen. No assumptions are required about the nature of the specimen other than that it has fibre-type symmetry. The specimen intensity transform can be used to obtain integrated intensities for discrete reflections from microcrystalline fibres that are potentially as accurate as those obtained from crystals. Improved procedures for extracting structure amplitudes from specimens with continuous layer lines are also described.
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  • 13
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 9 (1976), S. 253-254 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: A set of Fortran programs for radial distribution function analyses of X-ray and electron diffraction data of liquid and amorphous samples is available. The programs relate, first, to the formation of a reduced intensity function, F(K) ≡ (I − 〈f2〉)/〈f〉2, where I is the coherent scattered intensity in electron units, K is 4π sin &thgr;/λ, and 〈f〉 is the average of the scattering factors. The experimental radial distribution function G(r) = 4πr[ρ(r)−ρ0], is derived as the Fourier sine integral of F(K).
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  • 14
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 9 (1976), S. 257-258 
    ISSN: 1600-5767
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  • 15
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 9 (1976), S. 259-259 
    ISSN: 1600-5767
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  • 16
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 9 (1976), S. 181-182 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: A correct version of Fig. 1 of Langlet [J. Appl. Cryst. (1975). 8, 515–519] is given.
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  • 17
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 9 (1976), S. 185-185 
    ISSN: 1600-5767
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  • 18
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 9 (1976), S. 355-356 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: The simulation of an image gives the values of the intensity on the exit surface of the crystal; difficulties arise in the representation because the corresponding luminance is not known. This explains the difference between the densitometric responses of the real and the simulated photographs.
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  • 19
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 9 (1976), S. 357-359 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: Method of growth and chemical characterization of single crystals of Pr(IO3)3. HIO3 and 3La(IO3)3. HIO3.7H2O are given together with the powder data. Pr(IO3)3.HIO3 is monoclinic, a = 14.237±0.006, b = 7.578± 0.003, c = 10.616±0.005 Å, β = 110.48±0.04° at 298 K with space group P21/a and four formulas perunit cell. 3La(IO3)3.HIO3.7H2O is orthorhombic, a = 13.18008±0.00010, b = 21.72076±0.00010, c = 12.15514±0.00018 Å at 298 K with space group Aba2 and four formulas per unit cell. The hydrated La acid salt generates second harmonics: the pyroelectric coefficient p3 = 2.1 x 10−5 Cm−2 deg−1. Mo K radiation produces a bright orange coloration.
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  • 20
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 9 (1976), S. 364-366 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: Crystal data of three compounds in the system SeO2–CuO have been determined from X-ray single-crystal and powder studies. CuSe2O5 is monoclinic, space group Cc or C2/c, with a = 12.254 (5), b = 4.858 (3), c = 7.960 (3) Å, β = 110.7 (1)°, Z = 4. CuSeO3 is monoclinic, space group P21/c, with a = 7.718 (2), b = 8.266 (3), c = 10.529 (3), β = 127.2 (2)°, Z = 8. Cu2SeO4 is cubic, space group P213 or P4232, with a = 8.928 (3) Å, Z = 8. Powder diffraction data are given for all three compounds.
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  • 21
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 9 (1976), S. 368-369 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: The chemical preparation and crystal data for two scandium phosphates are reported. (a) Scandium tetrametaphosphate, Sc4(P4O12)3, is cubic with a = 14.363 (5) Å, and Z = 4. It is isotypic with Al4(P4O12)3. (b) Scandium polyphosphate, Sc(PO3)3, is monoclinic with a = 10.84 (1), b = 19.58 (2), c = 9.694 (5) Å, β = 97.92 (5)° and Z = 12. It is isotypic with the C form of Al(PO3)3.
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  • 22
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 9 (1976), S. 260-260 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
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  • 23
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 9 (1976), S. 291-295 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: Given a photograph of small crystals, it is often desirable to determine the face indices. This paper describes a straightforward iterative method, incorporated in a computer program, by which the azimuth and polar coordinates of the optical axis of the photographic camera are computed from: the lattice parameters a, b, c, α, β, γ; the assumed indices of the three faces intersecting at a point; and the angles between the zone axes to which the faces belong, as measured in projection on the photograph. This optical axis is required to satisfy two conditions: it should be consistent with the assumed indices, and it should be constant with respect to intersection points throughout the photograph. Using these conditions as a criterion, one can eliminate the uncertainty in the assignment of face indices.
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  • 24
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 9 (1976), S. 391-393 
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    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: Twinning has been studied in Ti4O7 crystals. It has been found that they are twinned by reticular pseudomerohedry. The sublattice controlling the twinning has an orthorhombic pseudosymmetry and is obtained from the triclinic cell (a = 5.593, b = 7.125, c = 12.456 Å, α = 95.02, β = 95.21, γ = 108.83°) by means of the transformation (a/b/c)* (½½½/½02/½2\bar 2) (a/b/c)* triclinic. The effect of the twinning on the electron paramagnetic resonance spectra is also reported.
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  • 25
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 9 (1976), S. 413-414 
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    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: Monoclinic unit-cell parameters for LnPO4 (Ln = La, Ce, Pr, Nd, Sm, Eu, Gd, Tb and Dy) have been redetermined from Guinier photographs, and are plotted against effective ionic radii of the lanthanides. Full powder-diffraction data are given for LaPO4 and GdPO4.
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  • 26
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 9 (1976), S. 417-417 
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  • 27
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 9 (1976), S. 416-417 
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 9 (1976), S. 429-432 
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    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: A mathematical model for X-ray powder-diffraction phase analysis is formulated and, based on this model, new identification criteria are established and the conditions under which a solution is optimal are discussed. The proposed concept is illustrated with a three-phase sample problem.
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 9 (1976), S. 441-443 
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    Notes: A computer program for numerical calculation has been written in Fortran which enables Fourier coefficients of associated generalized Legendre polynomials to be obtained in the general case. Thus the generalized spherical harmonics, involved in the quantitative analysis of the distribution function of the orientations of a texture, can be calculated.
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 9 (1976), S. 460-465 
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    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
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    Notes: It may be very useful to know a mathematical expression which helps reconstruct the X-ray diffraction profile. It is in fact easier to work on one relation I(&thgr;) = f(&thgr;) rather than on a series of experimental points. The relation proposed in this paper, I(x) = A \big[cos\pi{(x-x_o-\delta)\over a}\big]^{n} {K^2 \over K^2 + (x-x_{0})^2},gives a good correspondence between experimental values and the values calculated in the case of a monochromatic source. Its use still remains very simple in the case of a doublet, Kα1 Kα2, which can be expressed as follows: I(x) = I_{K\alpha_{1}}(x) + \textstyle{1\over2} I_{K\alpha_{1}}(x - \Delta). IKα1(x) is given by the previous expression, Δ represents the angular separation of the doublet. Different forms of profiles are used in order to verify the validity of the relation proposed and the results are compared with those resulting from the Rachinger classical method.
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 9 (1976), S. 476-480 
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    Notes: Second harmonic generation SHG may be used as an experimental technique in structural crystallography. By applying a bond polarizability model to the nonlinear optical coefficients of quartz, the rotation of the SiO4 tetrahedron with temperature is `observed'. Additionally, the oxygen positional parameter x in β quartz is obtained in excellent agreement with previously published X-ray results.
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  • 32
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 9 (1976), S. 491-498 
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    Notes: A rapid-identification file for crystalline materials is being prepared from the Crystal Data file. In this new file, each cell is represented in its reduced form, which is unique, primitive, and based on the three shortest noncoplanar vectors of the lattice. Unknown materials can be rapidly matched with the same or related crystals in the file. To identify an unknown crystalline material, a primitive cell is first determined experimentally, then it is reduced and checked against the file for a match. Even if the cell of the unknown lattice is not primitive, identification is still possible by calculating appropriate derivative lattices, reducing them, and then checking the file.
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 9 (1976), S. 373-374 
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    Notes: A method is described for the least-squares refinement of lattice constants from powder diffraction data. This method differs from the other analogous methods mainly because it takes into account, for the indexing of the observed peaks, also the structure factors of the reflexions hkl. The refinement is carried out on the weighted observed peaks where the weight wO depends on (1) an individual standard error which takes into account the peculiarities of the peak, and (2) a parabolic function of the &thgr;O value. The description of a computer program based on this method is given.
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  • 34
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 9 (1976), S. 159-168 
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    Notes: Amorphous films of AgCu and CuMg2, approximately 3000 Å in thickness, were prepared by co-evaporation of Ag and Cu, and Cu and Mg, respectively, onto 25 μm thick Be sheets, held at liquid nitrogen temperature. Mo Kα X-rays were used as a radiation probe to determine the structure of the films, at room temperature, and of the liquid alloys of Cu with 50 at.% Ag and with 0 and 67 at.% Mg at 50°C above the liquidus temperature. With the transmission technique, the interference functions (or structure factors) I(K) were determined in the range of K = 4π sin &thgr;/λ between 0.8 Å−1 and 12.5 Å−1, and then Fourier transformed to obtain the radial distribution functions (RDF). The I(K) and RDF of the amorphous AgCu and CuMg2 films were compared with those of the liquid Ag–Cu and Cu–Mg alloys, respectively. It was found that the structures of the amorphous and liquid Ag–Cu alloys were similar with a more well defined short-range order occurring in the solid alloys, whose I(K) exhibited the well known shoulder on the second peak. The I(K) and RDF of the amorphous CuMg2 and the liquid Cu–Mg alloys cannot be explained by a common structure, although I(K) showed a small premaximum below the first main peak in both the amorphous and liquid alloys, a feature observed in many liquid Mg alloys.
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    Applied crystallography online 9 (1976), S. 178-180 
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    Notes: A double-diffractometric method for X-ray topography revealing the smallest crystal defects in as-grown silicon by a relatively low display is described.
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 9 (1976), S. 185-185 
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 9 (1976), S. 186-186 
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    Applied crystallography online 9 (1976), S. 199-204 
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    Notes: Four major improvements have been made in the ZRD–SEARCH–MATCH program [Frevel (1965), Anal. Chem. 37, 471–482]; namely, (1) restriction of the file of standards to the 298 most frequently encountered phases, (2) utilization of a single index file based on the most intense reflection, (3) incorporation of a novel search function, and (4) revision of the quantitative matching of powder patterns.
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    Applied crystallography online 9 (1976), S. 216-219 
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    Notes: An upper limit for the volume of unit cells which can be verified by the de Wolff figure of merit [Wolff, P. M. de, J. Appl.Cryst. (1968). 1, 108–113] is given as a function of the errors in observed d spacings. In the use of the de Wolff figure of merit the requirement of information about the errors of measurement is emphasized. A number of examples are given where the unit cells that are found cannot be accepted as true, because of the lack of accuracy in the published data.
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    Applied crystallography online 9 (1976), S. 212-215 
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    Notes: About forty X-ray powder diagrams were recorded, in the range 5 to 295 K, with a prototype diffractometer and a high-efficiency cryostat. The temperature dependence of the cell parameters and the principal thermal expansion coefficients presents anomalies (below 240 K) which are due to the existence of an order–disorder transition in the range 240–170K. There is a correlation between the temperature dependence of the thermal expansion coefficients αhkl and the asymmetric broadening of corresponding peaks. The existence of domains and frontier zones and the important reorganization of the molecular packing, in the ordered phase, explain the asymmetrical broadening of peaks. The nickelocene molecular configuration is probably eclipsed (D5h) in the ordered phase.
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    Applied crystallography online 9 (1976), S. 259-260 
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    Applied crystallography online 9 (1976), S. 360-360 
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    Topics: Geosciences , Physics
    Notes: Tris(trimethylammonium) heptabromodicadmate [(CH3)3NH]3Cd2Br7 is hexagonal, space group P6mcc. Unit-cell dimensions are: a = 14.863 (6), c = 6.869 (3) Å. Powder diffraction data are given.
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  • 43
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 9 (1976), S. 370-370 
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    Applied crystallography online 9 (1976), S. 371-371 
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    Applied crystallography online 9 (1976), S. 403-406 
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    Notes: The hexagonal cell dimensions a and c of 2H-MoS2, 2H-MoSe2 and 2H-WSe2 have been measured over the temperature range 20 to 800 °C. In all three compounds a and c increased non-linearly with temperature, the linear thermal expansion coefficient of c being greater than that of a. Above 500°C the compounds begin to decompose in vacuum.
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  • 46
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    Applied crystallography online 9 (1976), S. 407-410 
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    Notes: A study has been made of the dislocations found in molybdenum ditelluride. Three different types were observed: undissociated dislocations, widely dissociated ribbons, and ribbons of an intermediate width. The γ/λ ratio was determined for each type of dislocation and found to lie in the range 10−11 to 6.2 × 10−12 cm. In addition an estimation was made of both the growth fault and deformation fault probabilities.
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  • 47
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    Applied crystallography online 9 (1976), S. 412-412 
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    Topics: Geosciences , Physics
    Notes: Ammonium phosphoberyllate, Be2P3O10NH4, is monoclinic with a unit cell a = 12.200 (8), b = 8.645 (3), c = 8.937 (3) Å, β = 117.40 (5)° and Z = 4. Possible space groups are Cc or C2/c. The chemical preparation and crystal data are given for this new compound.
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  • 48
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    Acta crystallographica 32 (1976), S. 11-16 
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    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: The thermal expansion of non-cubic crystal structures may be simulated by a geometric least-squares refinement of the known structure after predicting the thermal expansions of various coordination polyhedra. This method has been applied to forsterite, Mg2SiO4, anhydrite, CaSO4, and scheelite, CaWO4. The expansions of different M-O bonds (M = Mg or Ca) are predicted by using an empirical relationship between the expansion cofficient, α, and bond-strength, s. The expansions of the polyhedral edges are approximated from the changes in the average M-O bond lengths. The rigid tetrahedral groups (SiO4, SO4 or WO4) were assumed to retain their size and shape during the process of thermal expansion. The structural changes are simulated at 300°C for forsterite and at 200°C for anhydrite and scheelite. Calculated changes in the position parameters for forsterite are generally in the same direction as those observed experimentally. The lattice parameters compare well and calculated values of the expansion coefficients along the three crystallographic axes show the same trend as the observed values namely αa 〈 αc 〈 αb. Thermal expansion behavior of anhydrite has been determined experimentally in the temperature range 20-275°C and the structure has been simulated at 200°C. The observed and calculated values of the expansion coefficients agree well; both show that αa 〉 αc 〉〉 αb. The calculations on scheelite successfully reveal the characteristic anisotropic thermal expansion behavior of scheelite-type structures, which is αa 〈 αc.
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  • 49
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    Acta crystallographica 32 (1976), S. 43-45 
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    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: For a fixed crystal structure in P{\bar 1}, it is assumed that h, k, l, m are random variables (vectors) uniformly and independently distributed over the subset of reciprocal space defined by h + k + l + m = 0. Then the seven structure factors Eh, Ek, El, Em, Eh + k, Ek + l, El + h, as functions of the primitive random variables h, k, l, m, are themselves random variables, and their joint probability distribution is found. This distribution plays the central role in the theory and estimation of the four-phase structure invariants φh + φk + φl + φm.
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    Acta crystallographica 32 (1976), S. 74-82 
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    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: The probabilistic approach used by the author in a preceding paper [Acta Cryst. A31, 252-259] for deriving the sign of quartet relations is used to obtain formulae which take terms of order 1/N2 into account. Experimental tests show that the overall reliability of the quartets is better estimated by these formulae, but does not reach the reliability of the triplets. Probabilistic formulae are then rescaled by suitable empirical factors. The new expressions lead to an improvement compared both with theoretical formulae and with the empirical [Schenk (1975). Acta Cryst. A31, 259-263] method: what is more significant, the new quartets are almost always found to be more reliable than triplets.
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    Acta crystallographica 32 (1976), S. 91-99 
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    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: A conditional joint probability distribution is derived in order to estimate the values of the cosine invariant cos (φh + φk + φl - φh + k + l) in terms of the magnitudes of Eh, Ek, El, Eh + k, Eh + l, Ek + l, Eh + k + l. The theory leads to values for the cosines which lie anywhere between - 1 and + 1. Some applications of the quartets in procedures for crystal structure determination are described.
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  • 52
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    Applied crystallography online 9 (1976), S. 9-13 
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    Notes: The method of determining the ratio between lattice parameter and electron wavelength from Kikuchi-line intersections with an accuracy about 0.1% which was described by Høier [Acta Cryst. (1969). A25, 516–518] for cubic crystals, is extended to crystals with any lower symmetry. A computer program using a least-squares refinement has been developed and applied to the determination of unknown lattice parameters in an orthorhombic olivine and a triclinic feldspar crystal. A combination of energy-dispersive X-ray analysis and Kikuchi-line intersection measurements can in many cases be utilized to increase the accuracy in the determination of the lattice parameters. For the feldspars such a combination of measurements can be used to determine the distribution of the Al and Si atoms in the tetrahedral positions of the structure.
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  • 53
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    Applied crystallography online 9 (1976), S. 18-27 
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    Notes: Pellets of the ferrimagnetic material Ba3Co2Fe24O41 were sintered at temperatures between 1220°C and 1310°C in (1) a non-oriented state, (2) with a fibre texture generated by a rotating magnetic field during pressing and (3) with a fan texture due to a static magnetic field. During sintering up to 24 h. the changes in texture sharpness and density were studied. Textured samples attained a higher ultimate density than non-oriented ones and those with fibre texture became densest. To determine the sharpnesses of the texture the maximum standardized intensities of the reflexions 0′0′0′14, 1′0′\bar 1′16, 1′1′\bar 2′10 and 11\bar 20 were calculated from the experimental intensities. The mutual relations of the maximum standardized intensities of the four reflexions were given by representing the intensities of these reflexions for both textures as polynomials. The dependence of sharpness of texture on position in the pellet has been determined. It followed that this sharpness had to be averaged over the height of the pellet, to get a representative value for the whole pellet. Both kinds of texture were found to sharpen during normal grain growth, but during exaggerated grain growth in the last stage of sintering the sharpness of the fibre texture decreased, whereas that of the fan texture still increased. A possible explanation of this phenomenon is given on the basis of the different characters of these textures. A linear relationship is found between sharpness of texture and area porosity during normal grain growth. The compound starts decomposing at a lower temperature than that given in literature.
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    Applied crystallography online 9 (1976), S. 39-41 
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    Notes: The dislocation structure in olivine crystals has been studied by means of X-ray topography. The dislocations have Burgers vector [100] or [001], the majority of the dislocations lying in the (100) or the (001) plane and being of the edge, screw or mixed type. Some dislocation tangles are apparently closely connected to Ca-rich inclusions. The observed dislocation structure and its possible origins are discussed in relation to previous electron diffraction studies and slip line observations on olivine crystals deformed naturally or experimentally at various temperatures.
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    Applied crystallography online 9 (1976), S. 52-52 
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    Notes: The sign of the total pyroelectric coefficient, p3, of LiIO3 has been related to the known [Morosin, 1972. Private communication quoted as Ref. 25 of Bergman, J. G. & Crane, G. R. (1974). J. Chem. Phys. 60, 2470–2474] absolute configuration by use of a model of Liminga & Abrahams [J. Appl. Cryst. (1976). 9, 42–47]. It has been experimentally verified to be positive (piezoelectric convention) as predicted.
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    Applied crystallography online 9 (1976), S. 58-58 
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    Applied crystallography online 9 (1976), S. 58-58 
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    Applied crystallography online 9 (1976), S. 175-177 
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    Notes: Very low-concentration mixtures of gaseous Fe(CO)5 and neon are decomposed in a glow discharge, leaving powdered amorphous iron. A charcoal trap cooled at liquid nitrogen temperature selectively adsorbs the CO from decomposition under a constant pressure of neon. The product, stable at room temperature, has been characterized as iron by X-ray diffraction. The pair distribution function gives the distance ratios expected for an amorphous material (tetrahedral model) computed on the basis of dense random packing of hard spheres or molecular dynamics with a central potential. However, these models may be questioned in the case of a non-compact body-centred structure.
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    Applied crystallography online 9 (1976), S. 183-183 
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    Notes: Three new potassium hydrogen polyiodate compounds [KHn(IO3)1 +n] have been grown from aqueous solution. Their cell parameters, d values and space groups are reported.
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    Applied crystallography online 9 (1976), S. 180-181 
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    Notes: A method is described for the rapid indexing of facets of crystals of hematite α-Fe2O3 from the study of electron diffraction diagrams. The only measurements consist in reading the values of the angles defining the position of the goniometer which allows rotation of the facet in its own plane.
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    Applied crystallography online 9 (1976), S. 14-17 
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    Notes: A detailed description of an automatic low-temperature apparatus to be used in single-crystal diffractometry is given. The crystal is cooled by a stream of nitrogen gas. Prevention of ice formation on the crystal is achieved by heating the outer parts of the gas stream by a conical metal device. The unit-cell dimensions of α-quartz have been determined in the temperature range 86–298 K with this apparatus on a four-circle diffractometer of type CAD-4.
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    Applied crystallography online 9 (1976), S. 190-192 
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    Notes: Specimens of 2 H wurtzite from Pribram, Czechoslovakia have extremely high degrees of stacking disorder, probably much greater than that reported for any close-packed stacking sequence. The fraction of hexagonal stacking layers in two specimens is 0.63 and 0.68, respectively. For lattice rows affected by stacking faults, the agreement between the observed scattering and that calculated from the Jagodzinski model, reduced to one parameter, is remarkably good. The scattering from associated sphalerite is clearly incoherent.
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    Applied crystallography online 9 (1976), S. 187-189 
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    Notes: The relation between the column distribution as determined from the Fourier analysis of diffraction line profiles and the overall size distribution is examined for mixtures of crystallites of uniform shape, but differing in size. It is concluded that for such systems Fourier analyses of a number of profiles can lead to information on the nature of the shape, but that very careful measurements will be necessary to generate useful information on the nature of the distribution of sizes. While the detailed application of the results of this model may be limited, more general consequences seem to be that (a) there is normally no superficial resemblance between the Fourier column distribution and the true size distribution and (b) information on the latter can only be extracted with difficulty from Fourier analyses.
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    Applied crystallography online 9 (1976), S. 205-208 
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    Notes: Instabilities in the mechanical set-up and in the electronic equipment for measuring intensities can be detected by a statistical analysis of a series of profile measurements of one reflexion. The analysis is carried out in three steps starting with the raw data which, at stage 2, are corrected for a drift of intensity and at stage 3 for a drift of the scanning angle.
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    Applied crystallography online 9 (1976), S. 223-230 
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    Notes: Some techniques are surveyed of how to monochromatize synchrotron X-radiation and to eliminate harmonics in the most appropriate way. The theoretical estimates are compared with spectral intensity distribution measurements at DESY in Hamburg and found to be in good agreement.
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    Applied crystallography online 9 (1976), S. 220-222 
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    Notes: A system for cooling a stream of dry air to −120°C is described. Mechanically refrigerated cooling units are used to maintain the cold baths in which heat exchangers are immersed. Adapters for converting a precession camera to a flat-plate oscillation-rotation camera and for mounting crossed polaroids on the precession camera are described. These devices are particularly useful for examining and aligning crystals grown in situ at low temperatures. They can also be used for aligning crystals on the precession camera even when monochromated radiation is used.
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    Applied crystallography online 9 (1976), S. 240-241 
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    Notes: This note reports on the observation of the appearance of singularity in the equal-thickness fringes at the outcrop of a dislocation in silicon observed with a plane-wave of X-rays and proposes a method of determining directly the magnitude and sense of the Burgers vector from the number of the extra half lines of the fringes.
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    Applied crystallography online 9 (1976), S. 245-245 
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    Notes: The crystal structure of Cs2HfCl6 was determined to be cubic, Fm3m, similar to K2PtCl6, with parameters: a0 = 10.42±0.01 Å, and u = 0.247±0.003. Powder diffraction data on which the determination was based are given.
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    Applied crystallography online 9 (1976), S. 261-261 
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    Applied crystallography online 9 (1976), S. 262-262 
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    Applied crystallography online 9 (1976), S. 186-186 
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    Applied crystallography online 9 (1976), S. 186-186 
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    Applied crystallography online 9 (1976), S. 286-290 
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    Notes: A cryostat has been designed for an energy-dispersive X-ray diffractometer so that the specimen can be measured between 1.48 K and room temperature. Three powder samples can successively be measured at a fixed temperature by rotating the cryostat in steps of 120°. This design is very suitable particularly for detecting a slight change or difference, if any, in lattice constant among samples. A typical example is described of detecting the difference in lattice constant between 92Mo and 100Mo.
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    Applied crystallography online 9 (1976), S. 209-211 
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    Notes: For the measurement of the integrated intensities of the reflexions from a crystal which shows satellite reflexions or which has one comparatively short reciprocal lattice constant, the setting angles for a four-circle diffractometer are derived which minimize the overlapping of neighbouring reflexions.
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    Applied crystallography online 9 (1976), S. 231-232 
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    Notes: It is shown that by using a three-circle single-crystal diffractometer to measure interplanar angles, one can obtain accurate ratios of crystal lattice parameters. The c/a ratios of BeO and CdS have been determined to demonstrate the method.
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    Applied crystallography online 9 (1976), S. 243-243 
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    Notes: Methylammonium manganese(II) trichloride crystallizes with a hexagonal unit cell, a = 7.626 (2) Å, c = 6.399 (1) Å, Z = 2, space group P63/mmc or P63mc. It is isostructural with CsCdBr3.
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    Applied crystallography online 9 (1976), S. 347-351 
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    Notes: A method is described for the rapid indexing of (00.1) electron diffraction diagrams obtained from materials having trigonal or hexagonal symmetry. When the substance is known it is possible to determine the azimuthal orientation of the sample. A second diffraction diagram allows the determination of the lattice parameters of the substance when it is unknown.
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    Applied crystallography online 9 (1976), S. 394-402 
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    Notes: An experimental method of measuring absolute structure factors in imperfect single crystals by means of Bragg diffraction of 0.03 Å γ-radiation is presented. It is shown that in principle atomic scattering factors can be deduced with an accuracy of about ±0.5% from rocking curves measured by means of γ-ray diffractometry. Due to the uncertainties in the correction for thermal motion of the atoms, however, the values of the atomic scattering factors of copper at the 220, 2\bar 22 and 333 reflexions could be derived only with an accuracy of ±1%. The measurements were made at room temperature.
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    Applied crystallography online 9 (1976), S. 411-411 
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    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: Crystals of phosphorus oxynitride are tetragonal with a = 4.621 (2), c = 7.007 (4) Å, Z = 4, space group: I4122.
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    Applied crystallography online 9 (1976), S. 415-416 
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    Applied crystallography online 9 (1976), S. 417-417 
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    Applied crystallography online 9 (1976), S. 417-418 
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    Applied crystallography online 9 (1976), S. 419-423 
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    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: A semi-automated system has been developed for identifying the components of a crystalline mixture according to correlations between the diffraction pattern of the mixture and the Hanawalt index of the Powder Diffraction File. The system is designed for use in the laboratory with modest computing facilities, e.g. a disc or tape-based 16 K mini-computer. In the computerized stage of the system those components which cannot contribute to the measured pattern are automatically eliminated. Subsequent manual interpretation of the results of the computer search, preferably with the support of a semi-quantitative elemental analysis, further reduces the number of possibilities.
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    Applied crystallography online 9 (1976), S. 433-440 
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    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: The total X-ray intensity as a function of h (h is the radial coordinate in reciprocal space), scattered by an isotropic system of particles of equal shapes but of different sizes R, can, under certain conditions, be expressed as an integral over the particle size distribution function D(R), multiplied by a common single-particle function of hR which can be calculated from the assumed particle shape. In the first method D(R) is calculated from this relation by the method of least squares, in which values of D at a limited number of particle sizes are the unknowns. To avoid oscillations in the D curve, constraints are imposed on the D values. The proper weight to be assigned to these constraints must be determined by trial and error. The method has been adapted to suit various assumptions and requirements as to the shape of the particles, the type of distribution function to be calculated, and experimental conditions (slit or pinhole focusing). The second method is essentially the one described by Schmidt, Weil & Brill [X-ray & Electron Methods of Analysis, pp. 86–100. (1968), New York: Plenum], which, however, is adapted to the use of slit-smeared intensities. Both methods may give rise to artefacts in the calculated distribution functions in the range of the smallest particle sizes, which are sensitive to the setting of the various parameters and to experimental errors. However, the position and shape of the main maxima can usually be determined quite well. The agreement between the results obtained by the two methods is satisfactory.
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    Applied crystallography online 9 (1976), S. 54-56 
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    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: Apophyllite from the Poona region of the Deccan Traps has been confirmed to be tetragonal, space group P4/mnc, a = 8.965 (3), c = 15.756 (7) Å, at 25°C, Z = 2 and measured density = 2.369 g cm−3 at 33°C. Complete powder data and chemical analysis are given.
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    Applied crystallography online 9 (1976), S. 59-59 
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    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
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    Applied crystallography online 9 (1976), S. 60-60 
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    Applied crystallography online 9 (1976), S. 248-249 
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    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: Crystals of TlAsSe2 have been grown in a single-zone furnace. Precession photographs show that the compound is monoclinic, space group P21/c. Data for the unit cell are: a = 6.26, b = 23.64, c = 12.33 Å; β = 106.5°; Z= 16, Dm = 6.19, Dx = 6.64 g cm−3 . An indexed powder pattern is given. In relation to its sulphur analogue TlAsS2 (the mineral lorandite), TlAsSe2 has a doubled unit cell in the direction of the unique axis.
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    Applied crystallography online 9 (1976), S. 247-248 
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    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: Barium silver trimetaphosphate tetrahydrate: BaAgP3O9.4H2O is monoclinic with a unit cell: a = 21.35 (3), b = 7.163 (3), c= 18.35 (2) Å, β = 121.72 (5)°, Z = 8, space group = Cc or C2/c. Barium silver trimetaphosphate: BaAgP3O9 is orthorhombic with a unit cell: a = 11.05 (1), b = 12.28 (1), c = 5.903 (5) Å, Z = 4, space group: P212121. These two salts are isotypic with the corresponding barium–sodium salts: BaNaP3O9. 4H2O and BaNaP3O9 previously described by the authors.
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 9 (1976), S. 335-338 
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    Topics: Geosciences , Physics
    Notes: The temperature dependence of the axial lattice spacings of a pure BaTiO3 crystal, grown from a `top-seeded' TiO2-rich melt, is presented for the four phases. This behaviour is compared with that of a crystal grown using a potassium fluoride flux. The lower ferroelectric paraelectric transition temperature and the smaller lattice parameter discontinuities exhibited by the latter crystal are attributed to the incorporation of impurities from the flux.
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    Applied crystallography online 9 (1976), S. 342-346 
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    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: A lattice-parameter measurement technique using two lattice planes and monochromatic X-ray beams has been investigated. Accuracy, measurement correction and extensions of the technique are discussed. With this technique, the lattice parameters of Gd3Ga5O12, single crystals, grown under different conditions, have been measured to an accuracy of ±0.0003 Å. From the results obtained for Gd3Ga5O12, single crystals, it has been found that the technique has several advantages in comparison with conventional methods.
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 9 (1976), S. 416-416 
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    Applied crystallography online 9 (1976), S. 417-417 
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    Applied crystallography online 9 (1976), S. 418-418 
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 9 (1976), S. 510-510 
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    Applied crystallography online 9 (1976), S. 511-512 
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    Applied crystallography online 9 (1976), S. 512-512 
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    Applied crystallography online 9 (1976), S. 512-513 
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    Applied crystallography online 9 (1976), S. 514-514 
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    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 32 (1976), S. 65-66 
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: To extend the usefulness of the tabulation of the numbers N of positional isomers [Knop, Barker & White (1975). Acta Cryst. A31, 461-472], all the distinct cycle-index polynomials Z on which the tabulation is based have been listed in a convenient form. This condensed summary facilitates identification of Z-isomorphisms; in turn, N for univalent substitution on many polyhedra not listed previously can be evaluated simply by reference to the existing tabulation.
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