Thermal dependence of the Pb5Al3F19 lattice parameters in phases I–IV
Abstract
Pb5Al3F19 undergoes three first-order phase transitions; on cooling from phase I (4/m) to phase II (2/m) at 365 K, from phase II to phase III (4/m) at 305 K, and from phase III to phase IV (4mm) at 120 K. The lengths of the a- and c-axes undergo continuous change at the highest temperature phase transition as the β-angle increases from 90[unk] below 365 K; no difference is detectable between the lengths of the a- and b-axes in monoclinic phase II, within an accuracy of 0.007 Å. The β-angle temperature dependence follows a power law with exponent that does not differ significantly from 1/2. At the 305 K first-order phase transition, the β-angle abruptly changes from its maximum value of 90.41° in phase II to 90[unk] in tetragonal phase III; the a- and c-axes, however, maintain their continuous change in length through this transition. The 120 K first-order phase transition is characterized by an abrupt 0.77% decrease in the length of the normalized a-axis, and an equally abrupt 1.89% increase in the c-axis length, on cooling from phase III to phase IV. The a- and c-axes in all four phases are characterized by linear thermal coefficients, with magnitudes presented below. The normalized a-axis lengths in phases I, II and III extrapolated to 0 K differ by less than 0.021 Å from 14.174 Å, the corresponding c-axis lengths at 0 K differ by less than 0.004 Å from 7.194 Å. The normalized unit cell volume thermal dependence of phases I, II and III is linear and continuous between 400 and 120 K but undergoes a discontinuity of 0.40% at the transition from phase III to phase IV.
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Articles in the same Issue
- Thermal dependence of the Pb5Al3F19 lattice parameters in phases I–IV
- Crystal growth and crystal structure of arsenicv ditelluroidide semihydrate, AsTe2I · 0.5 H2O
- Submicroscopic twinning and chemical inhomogeneity of ilvaite, a mixed-valence iron sorosilicate HCaFe22 + Fe3 + Si2O9
- Substitutional disorder in the system Mg1 − xCu2 + xO3: Cu2+ in a compressed octahedral environment
- A crystal structure determination of HgC2O4 from synchrotron X-ray and neutron powder diffraction data
- Crystal and molecular structure of 5-(3-methylbut-2-enyloxy)-7-methoxy-8-(3-methylbut-2-enyl)-2 H-[1]-benzopyran-2-one (Sesibiricin)
- Structural studies on oxalatotriorganostannates. Crystal structure of trimethylsulfonium catena-O,O′-oxalatotriphenylstannate
- Crystal and molecular structures of P,P-dicyclohexyl-N-methyl-phosphinylthioformamide, P,P-dicyclohexyl-N-phenyl-phosphinylthioformamide, P,P-dicyclohexyl-N-methyl-thiophosphinylthioformamide, and P,P-dicyclohexyl-N-phenyl-thiophosphinylthioformamide
- Two organically-templated vanadium arsenate phases: V4As6O30H6 · 2 N2C6H14 · 4 H2O and V4As6O30H8 · 2 N(CH3)4 · 5.33 H2O
- Crystal structure of manganese ultraphosphate, MnP4O11
- Crystal structure of c-6-[N,N-bis(trimethylsilyl)amino]-5,6-dihydro-r-4-[(1′-hydroxy-1′-methyl)ethyl]-t-5-methyl-3-phenyl-4H-1,2-oxazine, ONC(CH)(CH)(CH)(C6H5)C(OH)(CH3)2(CH3)NSi(CH3)3Si(CH3)3
- Crystal structure of 2-methyl-6-phenyl-pyridin-3-al, (C6H5)C(CH)2CCNCHO(CH3)
- Crystal structure of 3-O-(5,6-dihydro-5-methyl-3-phenyl-4H-1,2-oxazin-6-yl)-1,2:5,6-di-O-isopropyliden-α-D-glucofuranose, O(CH)4OCO(CH3)2CHCH2OCO(CH3)2OCHCHCH2CNO(CH3)(C6H5)
- Crystal structure of 1,3-bis(3-trifluoromethylphenyl)-2,2,4,4-tetramethyl-1,3-diaza-2,4-disila-cyclobutane, (F3C(C6H4)NSi(CH3)2)2
- Crystal structure of 5-ethyl-2′-deoxyuridine, C11H16N2O5
- Crystal structure of 3,6-dimethyl-5-methylthio-thieno[3,2-b]-thiophen-2-carbaldehyde, C10H10OS3
- Crystal structure of anti-5,13-di-tert-butyl-8,16-difluoro-[2.2]metacyclophane, C24H30F2
- Crystal structure of 1-(3,5-difluoro-2,6-di(trans-stilbenyl)phenyl)-2-phenyl-diazene, (C6H5)NN(C6F2H(C(C6H5)CH(C6H5))2)
- Crystal structure of di(bis(1,1-dimethylethyl)phosphinic amide) hydrobromide,((C4H9)2(NH2)PO)2(HBr)
- Crystal structure of bis(lignocainium) dioxotrichloronitratouranate(IV), (C14H22ON2)2(UO2(NO3)Cl3)
- Crystal structure of bis(lignocainium) tetrathiocyanatocobaltate(II) hydrate, (C14H22ON2)2 Co(NCS)4 (H2O)
- Crystal structure of bis(lignocainium) tetrabromocuprate(II), (C14H22ON2)2CuBr4
- Crystal structure of terbium chromium aluminium, Tb6Cr4+xAl43−x (x = 1.6), erbium chromium aluminium, Er6Cr4+xAl43−x (x = 1.96), holmium chromium aluminium, Ho6Cr4+xAl43−x (x = 1.6), and lutetium chromium aluminium, Lu6Cr4+xAl43−X (x = 2.76)
Articles in the same Issue
- Thermal dependence of the Pb5Al3F19 lattice parameters in phases I–IV
- Crystal growth and crystal structure of arsenicv ditelluroidide semihydrate, AsTe2I · 0.5 H2O
- Submicroscopic twinning and chemical inhomogeneity of ilvaite, a mixed-valence iron sorosilicate HCaFe22 + Fe3 + Si2O9
- Substitutional disorder in the system Mg1 − xCu2 + xO3: Cu2+ in a compressed octahedral environment
- A crystal structure determination of HgC2O4 from synchrotron X-ray and neutron powder diffraction data
- Crystal and molecular structure of 5-(3-methylbut-2-enyloxy)-7-methoxy-8-(3-methylbut-2-enyl)-2 H-[1]-benzopyran-2-one (Sesibiricin)
- Structural studies on oxalatotriorganostannates. Crystal structure of trimethylsulfonium catena-O,O′-oxalatotriphenylstannate
- Crystal and molecular structures of P,P-dicyclohexyl-N-methyl-phosphinylthioformamide, P,P-dicyclohexyl-N-phenyl-phosphinylthioformamide, P,P-dicyclohexyl-N-methyl-thiophosphinylthioformamide, and P,P-dicyclohexyl-N-phenyl-thiophosphinylthioformamide
- Two organically-templated vanadium arsenate phases: V4As6O30H6 · 2 N2C6H14 · 4 H2O and V4As6O30H8 · 2 N(CH3)4 · 5.33 H2O
- Crystal structure of manganese ultraphosphate, MnP4O11
- Crystal structure of c-6-[N,N-bis(trimethylsilyl)amino]-5,6-dihydro-r-4-[(1′-hydroxy-1′-methyl)ethyl]-t-5-methyl-3-phenyl-4H-1,2-oxazine, ONC(CH)(CH)(CH)(C6H5)C(OH)(CH3)2(CH3)NSi(CH3)3Si(CH3)3
- Crystal structure of 2-methyl-6-phenyl-pyridin-3-al, (C6H5)C(CH)2CCNCHO(CH3)
- Crystal structure of 3-O-(5,6-dihydro-5-methyl-3-phenyl-4H-1,2-oxazin-6-yl)-1,2:5,6-di-O-isopropyliden-α-D-glucofuranose, O(CH)4OCO(CH3)2CHCH2OCO(CH3)2OCHCHCH2CNO(CH3)(C6H5)
- Crystal structure of 1,3-bis(3-trifluoromethylphenyl)-2,2,4,4-tetramethyl-1,3-diaza-2,4-disila-cyclobutane, (F3C(C6H4)NSi(CH3)2)2
- Crystal structure of 5-ethyl-2′-deoxyuridine, C11H16N2O5
- Crystal structure of 3,6-dimethyl-5-methylthio-thieno[3,2-b]-thiophen-2-carbaldehyde, C10H10OS3
- Crystal structure of anti-5,13-di-tert-butyl-8,16-difluoro-[2.2]metacyclophane, C24H30F2
- Crystal structure of 1-(3,5-difluoro-2,6-di(trans-stilbenyl)phenyl)-2-phenyl-diazene, (C6H5)NN(C6F2H(C(C6H5)CH(C6H5))2)
- Crystal structure of di(bis(1,1-dimethylethyl)phosphinic amide) hydrobromide,((C4H9)2(NH2)PO)2(HBr)
- Crystal structure of bis(lignocainium) dioxotrichloronitratouranate(IV), (C14H22ON2)2(UO2(NO3)Cl3)
- Crystal structure of bis(lignocainium) tetrathiocyanatocobaltate(II) hydrate, (C14H22ON2)2 Co(NCS)4 (H2O)
- Crystal structure of bis(lignocainium) tetrabromocuprate(II), (C14H22ON2)2CuBr4
- Crystal structure of terbium chromium aluminium, Tb6Cr4+xAl43−x (x = 1.6), erbium chromium aluminium, Er6Cr4+xAl43−x (x = 1.96), holmium chromium aluminium, Ho6Cr4+xAl43−x (x = 1.6), and lutetium chromium aluminium, Lu6Cr4+xAl43−X (x = 2.76)
