• Journal of the Mineralogical Society of Korea
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• v.16 no.3
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• pp.215-222
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• 2003

The Rietveld structure refinement for the natural trioctahedral mica, phlogopite-1M (Parker Mine, Quebec, Canada) has been done by high resolution neutron powder diffraction at $25^{\circ}C$ and -263$^{\circ}C$. The structural formula of phlogopite determined by electron probe microanalysis is $K_2$(M $g_{4.46}$F $e_{0.83}$A $l_{0.34}$ $Ti_{0.22}$)(S $i_{5.51}$A $l_{2.49}$) $O_{20}$(O $H_{3.59}$ $F_{0.41}$). Cell parameters are a=5.30∼5.31 $\AA$, b=9.18∼9.20 $\AA$, c=10.18∼10.21 $\AA$, $\beta$=100.06∼100.08$^{\circ}$. Refinements converged to R values in the range of $R_{p}$=2.35%, $R_{wp}$=3.01%, respectively. In this study, the OH bond length is calculated to 0.93 $\AA$ at room temperature and 1.03 $\AA$ at -263$^{\circ}C$, and the angles between OH vector and (001) plane are obtained 93.4$^{\circ}$∼93.6$^{\circ}$. The decrease in the length of OH with the increase in temperature should be due to the hydrogen bonding in the structure of phogopite.e.e.f phogopite.e.e.

• Journal of the Mineralogical Society of Korea
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• v.13 no.3
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• pp.164-170
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• 2000

Neutron single crystal and powder diffraction techniques have been applied to the structure analysis of yttria-stabilized zirconium, Z $r_{0.73}$ $Y_{0.27}$ $O_{1.87}$., prepared by the skull-melting method. The crystal structure has been determined to be cubic symmetry, space group Fm/equation omitted/ with a=5.155(2)$\AA$, V=136.99(5)$\AA$, Z=4, and R(F)=5.65%, $\omega$R(I)=10.57% for 70 integrated intensities of Bragg Peaks observed from single crystal of Z $r_{0.73}$ $Y_{0.27}$ $O_{1.87}$. The stabilizer atoms randomly occupy the zirconium sites and there are displacements of oxygen atoms with amplitudes of $\Delta$/a~0.033 and 0.11 along <110> and <100> directions from the ideal positions of the fluorite structure, respectively. There are no significant differences in crystallographic data between the single crystal and powder studies. Diffraction pattern after Rietveld refinement, using neutron powder data, has shown the evidence of a tetragonal impurity phase, or a slight tetragonal distortion.

• Economic and Environmental Geology
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• v.34 no.1
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• pp.1-12
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• 2001

The crystal structure of biotite-1M from Bancroft, Ontario, was determined by Rietveld refinement method using high-resolution neutron powder diffraction data at -26.3$^{\circ}C$, 2$0^{\circ}C$, 30$0^{\circ}C$, $600^{\circ}C$, 90$0^{\circ}C$. The crystal structure has been refined to a R sub(B) of 5.06%-11.9% and S (Goodness of fitness) of 2.97-3.94. The expansion rate of a, b, c unit cell dimensions with elevated temperature linearly increase to $600^{\circ}C$. The expansivity of the c dimension is $1.61{\times}10^{40}C^{-1}$, while $2.73{\times}10^{50}C^{-1}$ and $5.71{\times}10^{-50}C^{-1}$ for the a and b dimensions, respectively. Thus, the volume increase of the unit cell is dominated by expansion of the c axis as increasing temperature. In contrast to the trend, the expansivity of the dimensions is decreased at 90$0^{\circ}C$. It may be attributed to a change in cation size caused by dehydroxylation-oxidation of $Fe^{2+}$ to $Fe^{3+}$ in vacuum condition at such high temperature. The position of H-proton was determined by the refinement of diffraction pattern at low temperature (-2.63$^{\circ}C$). The position is 0.9103${\AA}$ from the O sub(4) location and located at atomic coordinates (x/a=0.138, y/b=0.5, z/c=0.305) with the OH vector almost normal to plane (001). According to the increase of the temperature, $\alpha$* (tetrahedral rotation angle), $t_{oct}$ (octahedral sheet thickness), mean distance increase except 90$0^{\circ}C$ data. But the trend is less clearly relative to unit cell dimension expansion because the expansion is dominant to the interlayer. Also, ${\Psi}$ (octahedral flattening angle) shows no trends as increasing temperature and it may be because the octahedron (M1, M2) is substituted by Mg and Fe.