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  • 1
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 85 (1986), S. 5221-5227 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Lithium sulfate monohydrate has been studied at 80 and 298 K by x-ray diffraction. The monoclinic crystal with space group P21 has lattice dimensions at 298 K of a=5.4553(1), b=4.8690(1), c=8.1761(2) A(ring), and β=107.337(2)°; lattice dimensions at 80 K were reported in our neutron study [J. Chem. Phys. 80, 423 (1984)]. Least-squares refinement based on 3486 (80 K) and 3390 (298 K) independent reflections, assuming a spherical atom model, results in final R( F 2) values of 0.024 (80 K) and 0.026 (298 K). Static deformation and charge density model refinement, based on Hirshfeld-type multipole functions, greatly reduces the residual electron density and gives R( F 2) values of 0.017 (80 K) and 0.016 (298 K). Refinement of the resulting multipole parameters within the Gaussian radial dependence model allows a qualitative estimation of the differences in electron densities between 80 and 298 K. A change of about 0.2 e A(ring)−3 in the deformation density of the O–H bonds in the water molecule over this temperature range is related to the contraction in hydrogen bonding at 80 K. Changes in the sulfate oxygen atom lone-pair deformation densities, caused by contractions in the SO2−4–Li+ contacts between 298 and 80 K, are also found between the two temperatures. X-ray–neutron diffraction deformation density calculations indicate a substantial electron deficiency in the sulfur valence shell. Kappa refinement leads to a point charge model with positive atomic charge close to 1.8 on sulfur, about −1.0 on each sulfate oxygen atom, and −0.8 on the water oxygen atom. Interatomic distances at 80 and 298 K, particularly those based on a Gaussian radial dependence for the deformation density function, are in excellent agreement with the corresponding neutron diffraction values.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 83 (1985), S. 2426-2434 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Strontium nitrite monohydrate [Sr(NO2)2⋅H2O] has been studied at 294, 100, and 20 K by neutron diffraction. Integrated intensities of 2958 (294 K), 4239 (100 K), and 2154 (20 K) reflections were measured at the Brookhaven National Laboratory high flux beam reactor, resulting in 2068 (294 K), 2030 (100 K), and 1934 (20 K) independent structure factors. Structural refinement in monoclinic space group P21 led to R(F)=0.029 (294 K), 0.019 (100 K), and 0.034 (20 K). Lattice constants at 295 K are a=12.5831(4), b=8.94941(15), c=4.4860(2) A(ring), β=99.111(4)°; at 100 K, a=12.539(2), b=8.909(1), c=4.475(1) A(ring), β=99.086(20)°; and at 20 K, a=12.542(2), b=8.901(1), c=4.472(1) A(ring), β=99.030(20)°.The expansivity of all four lattice parameters is nonlinear, with α1=32.8×10−6 K−1, β1=76×10−9 K−2; α2=31.6×10−6 K−1, β2=44×10−9 K−2; α3=15.6×10−6 K−1, β3=15×10−9 K−2; α4=−2.8×10−6 K−1, β4=−21×10−9 K−2 for αTi =α295i [1+αiΔT+βi(ΔT)2], ΔT=T−295 K. The mean-square amplitude of Sr varies linearly with temperature between 20 and 294 K, and extrapolates to a zero-point value of 0.0010(2) A(ring)2. A survey shows that atoms with masses greater than about 80 have similar zero-point amplitudes which increase toward the maximum exhibited by H, with its zero-point amplitude of about 0.023 A(ring)2, as the atomic mass decreases. The coordination (9 and 10) of the two independent Sr2+ ions remains unchanged with temperature: the coordination shell radius decreases on average by 0.012 A(ring) from 294 to 20 K. Comparison with previous x-ray structural results on Sr(NO2)2⋅H2O shows the latter are influenced by scattering from the nitrogen atom lone-electron pair. Small but significant differences in N–O distances among the four independent NO−2 ions are detected at 294 K (0.020 A(ring)) and at 20 K (0.017 A(ring)). The mean N–O distance at 20 K for all four ions is identical at 1.253–1.254 A(ring). The maximum atomic displacement between 294 and 20 K is that by a nitrite ion oxygen, of 0.045 A(ring).
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 88 (1988), S. 351-355 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The principal axes of the sulfate ion minimum-equipotential contact surface with respect to its charge center, and the charge and electric dipole moment distribution in the sulfate ion and in the water molecule, are derived for Li2SO4⋅H2O on the basis of previously determined net atomic charges [J. Chem. Phys. 85, 5221 (1986)]. The sulfate ion has a nonzero dipole moment of about 2.3×10−30 C m at 80 K that rotates 9° in the crystallographic a,c plane between 298 and 80 K. The dipole moment of the water molecule increases from about 6.7×10−30 C m at 298 K to 7.8×10−30 C m at 80 K, as it rotates 3.6° in the b,c plane. The total spontaneous polarization at 298 K is calculated to be 3.19(62)×10−2 C m−2, and at 80 K it is 4.37(51)×10−2 C m−2, along the positive direction of the polar axis. The sense and magnitude of the resulting calculated 1.18×10−2 C m−2 polarization change compare well with the experimental value of 1.04×10−2 C m−2 measured on heating through the same temperature interval. Determination of the absolute polarity of a Li2SO4⋅H2O crystal shows that the p2-pyroelectric and the d22-piezoelectric coefficients are both negative, indicating that similar dipole rotations occur in each, respectively, on heating and under tensile stress.
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  • 4
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 23 (1990), S. 211-212 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: Previous reports by Rosenzweig & Morosin [Acta Cryst. (1966). 20, 758–761], Liminga & Abrahams [J. Appl. Cryst. (1976). 9, 42–47] and Svensson, Albertsson, Liminga, Kvick & Abrahams [J. Chem. Phys. (1983). 78, 7343–7352], that the more steeply pointed ends of α-LiIO3 crystals grown from aqueous solution with 3 ≤ pH ≤ 7 have the apex of each pyramidal IO−3 ion pointing toward the direction which develops a positive polarity (d33 〉 0) under tensile stress applied along the polar hexagonal axis, have been confirmed contrary to the conclusion of Yang Hua-guang, Zhang Dao-fan, Chen Wan-chun & Li Yin-yuan [J. Appl. Cryst.(1989). 22, 144–149]. The error leading to the latter conclusion is identified.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 23 (1990), S. 430-430 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: A typsetting error in the paper by Abrahams, Liminga & Albertsson [J. Appl. Cryst. (1990). 23, 211–222] is corrected. On page 212, the first sentence of the second paragraph should read: However, the Miller indices given by Rosenzweig & Morosin's (1966) coordinates result in an opposite sense assignment for the polar c-axis direction and Yang Hua-guang et al. (1989) hence confused (hk.l) with ({\bar h}{\bar k}.{\bar l}).
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Acta crystallographica 38 (1982), S. 1551-1554 
    ISSN: 1600-5740
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Acta crystallographica 28 (1972), S. 2028-2032 
    ISSN: 1600-5740
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Oxford [u.a.] : International Union of Crystallography (IUCr)
    Acta crystallographica 39 (1983), S. 34-38 
    ISSN: 1600-5759
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 13 (1980), S. 516-520 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: The absolute sense of a large single-crystal of Ba(NO2)2.H2O (point group 6), and of one of Cs2S2O6 (point group 6mm), was determined by use of X-ray anomalous scattering methods. The piezoelectric d33 and pyroelectric p3 coefficients were measured on the same crystals, thereby leading to the assignment of the absolute sense of both coefficients. The magnitudes and senses found for Ba(NO2)2.H2O at 298 K are p3 = −14 (1) × 10−5 C m−2 K−1 and d33 = +3.1 (2) × 10−12 C N−1. The absolute coefficients for Cs2S2O6 at 298 K are p3 = +0.9 (2) × 10−6 C m−2 K−1 and d33 = + 14.7 (1.0) x 10−12 C N−1. The atomic displacements in Ba(NO2)2.H2O corresponding to p3 are 5.7 × 10−4 Å K−1 by the Ba2+ ion or dipolar rotations of 7.7 arc min K−1 by NO2 or H2O: for d33, the displacements are about 0.1 × 10−4 Å (106 N m−2)−1 by Ba2+ or dipolar rotations of 0.2 arc min(106 N m−2)−1. In the case of Cs2S2O6, the Cs+ ion displacements are 0.1 × 10−4 Å K−1 on heating and 0.2 × 10−3 Å (106 N m−2)−1 under stress. Dipolar rotations do not contribute either to p3 or to d33 in Cs2S2O6.
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  • 10
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 13 (1980), S. 176-179 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: The sense of the spontaneous polarization Ps for ferroelectric LiH3(SeO3)2 has been related to the absolute atomic arrangement with the use of anomalous scattering of neutrons from 6Li. The polar axis is almost parallel to the crystallographic c* axis. The absolute sense of Ps is antiparallel to c* with an experimentally determined magnitude of 15 × 10−2 C m−2. The calculated value, assuming point charges for Li+, H+, Se4+ and O2− is −9.8 x 10−2 C m−2. LiH3(SeO3)2 belongs to the three-dimensional class of ferroelectrics with essentially random displacement directions of the atoms at polarity reversal. The large value of Ps is the result of the oxygen displacements all having the same sense along the polar axis.
    Type of Medium: Electronic Resource
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