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Labradorite feldspars of the plagioclase solid solution series have been known for their complicated subsolidus phase relations and enigmatic incommensurately modulated structures. Characterized by the irrationally indexed e-reflections in the diffraction pattern, e-labradorite shows the largest variation in the incommensurate ordering states among the e-plagioclase structures. The strongly ordered low-temperature e-labradorite is one of the last missing pieces of the e-plagioclase puzzle. Nine plutonic and metamorphic labradorite feldspar samples from Canada, Ukraine, Minnesota (USA), Tanzania and Greenland with compositions ranging from An52.5 to An68 were studied with single-crystal X-ray diffraction. Two crystals from Labrador, Canada, and Duluth, MN, USA, with wide enough twin lamellae were analyzed with single-crystal neutron diffraction. The incommensurately modulated structures of e-plagioclase are refined for the first time with neutron diffraction data, which confirmed that the T—O distance modulation in the low-temperature e-plagioclase results from the Al–Si ordering in the framework. Detailed configurations of the M site are also observed in the structures refined from neutron diffraction data, which were not possible to see with X-ray diffraction data. The relation between the q-vectors and the mole% An composition is revealed for the entire compositional range of e-plagioclase, from An25 to An75. The previously proposed two-trend relation depending on the cooling rate and phase transition path is confirmed. A new classification of e-plagioclase (eα, eβ and eγ) is proposed based on the q-vector of the structure, which makes it an independent character from the presence/absence of density modulation. New parameters are proposed to quantify the ordering states of these complicated aperiodic structures of e-plagioclases, such as the difference between 〈T1o—O〉 and 〈T1m—O〉 at phase t = 0.2 or the normalized intensity of the (071\bar 1) reflection.

Supporting information

cif

Crystallographic Information File (CIF) https://doi.org/10.1107/S2052520619017128/dq5045sup1.cif
Contains datablocks global, 7147A, 7147A_neutron, Volga_Blue_yellow, 89GM97, Volga_Blue_colorless, 11044.p1, 67796b, Dul-15-6A, Dul-15-6A_neutron, SKHHM, 11044.p3

hkl

Structure factor file (CIF format) https://doi.org/10.1107/S2052520619017128/dq504511044.p1sup2.hkl
Contains datablock 11044.p1

hkl

Structure factor file (CIF format) https://doi.org/10.1107/S2052520619017128/dq504511044.p3sup3.hkl
Contains datablock 11044.p3

hkl

Structure factor file (CIF format) https://doi.org/10.1107/S2052520619017128/dq504567796bsup4.hkl
Contains datablock 67796b

hkl

Structure factor file (CIF format) https://doi.org/10.1107/S2052520619017128/dq50457147Asup5.hkl
Contains datablock 7147A

hkl

Structure factor file (CIF format) https://doi.org/10.1107/S2052520619017128/dq50457147A_neutronsup6.hkl
Contains datablock 7147A_neutron

hkl

Structure factor file (CIF format) https://doi.org/10.1107/S2052520619017128/dq504589GM97sup7.hkl
Contains datablock 89GM97

hkl

Structure factor file (CIF format) https://doi.org/10.1107/S2052520619017128/dq5045Dul-15-6Asup8.hkl
Contains datablock Dul-15-6A

hkl

Structure factor file (CIF format) https://doi.org/10.1107/S2052520619017128/dq5045Dul-15-6A_neutronsup9.hkl
Contains datablock Dul-15-6A_neutron

hkl

Structure factor file (CIF format) https://doi.org/10.1107/S2052520619017128/dq5045SKHHMsup10.hkl
Contains datablock SKHHM

hkl

Structure factor file (CIF format) https://doi.org/10.1107/S2052520619017128/dq5045Volga_Blue_colorlesssup11.hkl
Contains datablock Volga_Blue_colorless

hkl

Structure factor file (CIF format) https://doi.org/10.1107/S2052520619017128/dq5045Volga_Blue_yellowsup12.hkl
Contains datablock Volga_Blue_yellow

pdf

Portable Document Format (PDF) file https://doi.org/10.1107/S2052520619017128/dq5045sup13.pdf
Supplementary material

B-IncStrDB reference: 16192EpLfNa

Computing details top

Data collection: SNS PyDas for 7147A_neutron, Dul-15-6A_neutron. Cell refinement: Mantidplot for 7147A_neutron, Dul-15-6A_neutron. Data reduction: Mantidplot for 7147A_neutron, Dul-15-6A_neutron.

(7147A) top
Crystal data top
Ca0.525Na0.475Al1.525Si2.475O8γ = 89.781 (3)°
Mr = 270.6V = 1334.15 (7) Å3
Triclinic, X1(αβγ)0†Z = 8
q = 0.067470a* + 0.047770b* + -0.228960c*F(000) = 1074
a = 8.1640 (3) ÅMo Kα radiation, λ = 0.71073 Å
b = 12.8534 (2) ŵ = 1.26 mm1
c = 14.2098 (4) ÅT = 100 K
α = 93.6187 (11)°Block
β = 116.2531 (15)°0.18 × 0.16 × 0.07 mm
† Symmetry operations: (1) x1, x2, x3, x4; (2) −x1, −x2, −x3, −x4; (3) x1+1/2, x2+1/2, x3, x4+1/2; (4) −x1+1/2, −x2+1/2, −x3, −x4+1/2; (5) x1, x2, x3+1/2, x4+1/2; (6) −x1, −x2, −x3+1/2, −x4+1/2; (7) x1+1/2, x2+1/2, x3+1/2, x4; (8) −x1+1/2, −x2+1/2, −x3+1/2, −x4.

Data collection top
Bruker CCD
diffractometer
Rint = 0.067
Radiation source: X-ray tubeθmax = 30.6°, θmin = 1.6°
Graphite monochromatorh = 1111
55048 measured reflectionsk = 1818
13929 independent reflectionsl = 2020
8414 reflections with I > 3σ(I)
Refinement top
Refinement on F20 restraints
R[F2 > 2σ(F2)] = 0.031327 constraints
wR(F2) = 0.095Weighting scheme based on measured s.u.'s w = 1/(σ2(I) + 0.0016I2)
S = 1.34(Δ/σ)max = 0.037
13929 reflectionsΔρmax = 0.91 e Å3
848 parametersΔρmin = 0.72 e Å3
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/UeqOcc. (<1)
M1na0.26669 (8)0.01239 (10)0.08001 (9)0.0209 (2)0.475
M1ca0.26669 (8)0.01239 (10)0.08001 (9)0.0209 (2)0.1775 (19)
M2ca0.27080 (10)0.02803 (6)0.04870 (6)0.01194 (16)0.3475 (19)
T1osi0.49375 (3)0.335648 (14)0.106710 (14)0.00613 (6)0.3853
T1msi0.50322 (2)0.317860 (14)0.116120 (14)0.00629 (6)0.7097
T2osi0.68549 (2)0.109124 (14)0.157906 (14)0.00628 (7)0.7108
T2msi0.18112 (2)0.379592 (14)0.178567 (14)0.00620 (7)0.6692
T1oal0.49375 (3)0.335648 (14)0.106710 (14)0.00613 (6)0.6147
T1mal0.50322 (2)0.317860 (14)0.116120 (14)0.00629 (6)0.2903
T2oal0.68549 (2)0.109124 (14)0.157906 (14)0.00628 (7)0.2892
T2mal0.18112 (2)0.379592 (14)0.178567 (14)0.00620 (7)0.3308
Odm0.68954 (7)0.36713 (4)0.21564 (4)0.01494 (17)
Oa20.58091 (7)0.00703 (4)0.13864 (4)0.00937 (16)
Odo0.30082 (7)0.39281 (4)0.30848 (4)0.01250 (16)
Oa10.49731 (7)0.37159 (4)0.01159 (4)0.01456 (17)
Obm0.31692 (8)0.35295 (5)0.12331 (5)0.01842 (19)
Obo0.81211 (7)0.10519 (4)0.09418 (5)0.01305 (17)
Ocm0.51537 (7)0.18933 (4)0.10749 (4)0.01322 (16)
Oco0.48688 (7)0.20767 (4)0.13904 (4)0.01220 (16)
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
M1na0.00503 (18)0.0373 (4)0.0167 (3)0.00200 (19)0.00389 (18)0.0178 (3)
M1ca0.00503 (18)0.0373 (4)0.0167 (3)0.00200 (19)0.00389 (18)0.0178 (3)
M2ca0.00595 (19)0.0160 (3)0.0097 (2)0.00529 (15)0.00021 (15)0.00302 (17)
T1osi0.00563 (9)0.00850 (9)0.00414 (9)0.00002 (6)0.00196 (7)0.00112 (6)
T1msi0.00620 (9)0.00860 (9)0.00402 (9)0.00372 (6)0.00222 (7)0.00060 (6)
T2osi0.00534 (9)0.00621 (9)0.00649 (9)0.00152 (6)0.00193 (7)0.00022 (6)
T2msi0.00525 (9)0.00690 (9)0.00605 (9)0.00192 (6)0.00202 (7)0.00157 (6)
T1oal0.00563 (9)0.00850 (9)0.00414 (9)0.00002 (6)0.00196 (7)0.00112 (6)
T1mal0.00620 (9)0.00860 (9)0.00402 (9)0.00372 (6)0.00222 (7)0.00060 (6)
T2oal0.00534 (9)0.00621 (9)0.00649 (9)0.00152 (6)0.00193 (7)0.00022 (6)
T2mal0.00525 (9)0.00690 (9)0.00605 (9)0.00192 (6)0.00202 (7)0.00157 (6)
Odm0.0115 (2)0.0134 (2)0.0124 (2)0.00250 (18)0.00117 (19)0.00159 (18)
Oa20.0096 (2)0.0089 (2)0.0092 (2)0.00160 (16)0.00375 (18)0.00153 (16)
Odo0.0118 (2)0.0126 (2)0.0083 (2)0.00098 (16)0.00004 (17)0.00162 (16)
Oa10.0199 (3)0.0178 (2)0.0087 (2)0.00282 (18)0.0086 (2)0.00260 (17)
Obm0.0131 (2)0.0173 (3)0.0281 (3)0.00269 (19)0.0126 (2)0.0017 (2)
Obo0.0113 (2)0.0122 (2)0.0178 (2)0.00013 (17)0.00850 (19)0.00044 (18)
Ocm0.0123 (2)0.0139 (2)0.0106 (2)0.00560 (16)0.00295 (18)0.00199 (16)
Oco0.0113 (2)0.0143 (2)0.0108 (2)0.00021 (16)0.00463 (17)0.00180 (16)
(7147A_neutron) top
Crystal data top
Ca0.892Na0Al1.525Si2.475O8γ = 89.781 (3)°
Mr = 274.4V = 1334.15 (7) Å3
Triclinic, X1(αβγ)0†Z = 8
q = 0.067470a* + 0.047770b* + -0.228960c*F(000) = 529.156
a = 8.1640 (3) ÅNeutrons radiation, λ = 0.40-3.49 Å
b = 12.8534 (2) ŵ = 0.03 mm1
c = 14.2098 (4) ÅT = 100 K
α = 93.6187 (11)°Cubic, yellow
β = 116.2531 (15)°2.5 × 2 × 1.5 × 2 (radius) mm
† Symmetry operations: (1) x1, x2, x3, x4; (2) −x1, −x2, −x3, −x4; (3) x1+1/2, x2+1/2, x3, x4+1/2; (4) −x1+1/2, −x2+1/2, −x3, −x4+1/2; (5) x1, x2, x3+1/2, x4+1/2; (6) −x1, −x2, −x3+1/2, −x4+1/2; (7) x1+1/2, x2+1/2, x3+1/2, x4; (8) −x1+1/2, −x2+1/2, −x3+1/2, −x4.

Data collection top
TOPAZ
diffractometer
45240 independent reflections
Radiation source: The ORNL Spallation Neutron Scource38533 reflections with I > 3σ(I)
time–of–flight Laue scansθmax = 78.4°, θmin = 7.5°
Absorption correction: for a sphere
C. W. Dwiggins, Jr., Acta Cryst. A31, 395 (1975).
h = 1616
Tmin = 0.945, Tmax = 0.960k = 2525
45240 measured reflectionsl = 2828
Refinement top
Refinement on F2202 constraints
R[F2 > 2σ(F2)] = 0.076Weighting scheme based on measured s.u.'s w = 1/(σ2(I) + 0.0100000007I2)
wR(F2) = 0.255(Δ/σ)max = 0.019
S = 1.69Δρmax = 3.73 e Å3
45240 reflectionsΔρmin = 3.11 e Å3
641 parametersExtinction correction: B-C type 1 Lorentzian isotropic (Becker & Coppens, 1974)
1 restraintExtinction coefficient: 1.6 (2)
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/UeqOcc. (<1)
M10.2699 (8)0.0348 (7)0.0902 (5)0.0114 (3)0.282 (4)
M1.50.2638 (4)0.0012 (3)0.0723 (3)0.0179 (12)0.203 (8)
M20.2713 (2)0.03127 (19)0.04822 (17)0.0102 (3)0.407 (9)
T1osi0.49371 (6)0.33567 (4)0.10669 (4)0.00648 (11)0.3927
T1msi0.50327 (6)0.31789 (3)0.11609 (3)0.00622 (10)0.7052
T2osi0.68554 (6)0.10902 (3)0.15793 (3)0.00545 (10)0.6732
T2msi0.18114 (6)0.37961 (3)0.17859 (4)0.00598 (10)0.7038
T1oal0.49371 (6)0.33567 (4)0.10669 (4)0.00648 (11)0.6073
T1mal0.50327 (6)0.31789 (3)0.11609 (3)0.00622 (10)0.2948
T2oal0.68554 (6)0.10902 (3)0.15793 (3)0.00545 (10)0.3267
T2mal0.18114 (6)0.37961 (3)0.17859 (4)0.00598 (10)0.2962
Oa10.49739 (6)0.37149 (3)0.01155 (3)0.01558 (11)
Oa20.58065 (4)0.00696 (2)0.13884 (3)0.00881 (8)
Obo0.81167 (5)0.10494 (3)0.09421 (3)0.01299 (10)
Obm0.31692 (6)0.35304 (3)0.12329 (4)0.01876 (13)
Oco0.48682 (5)0.20766 (3)0.13903 (3)0.01294 (10)
Ocm0.51543 (5)0.18911 (3)0.10780 (3)0.01433 (10)
Odo0.30051 (5)0.39284 (3)0.30864 (3)0.01269 (9)
Odm0.68946 (5)0.36691 (3)0.21574 (3)0.01517 (10)
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
M10.0074 (4)0.0161 (5)0.0114 (5)0.0047 (3)0.0058 (4)0.0070 (4)
M1.50.0067 (7)0.026 (3)0.0163 (15)0.0003 (9)0.0025 (8)0.0090 (17)
M20.0056 (3)0.0125 (4)0.0097 (4)0.0019 (2)0.0014 (3)0.0036 (3)
T1osi0.00558 (14)0.00967 (15)0.00406 (15)0.00280 (11)0.00194 (12)0.00081 (11)
T1msi0.00563 (13)0.00926 (14)0.00341 (14)0.00267 (10)0.00177 (11)0.00022 (10)
T2osi0.00453 (13)0.00510 (12)0.00564 (15)0.00013 (9)0.00142 (11)0.00077 (10)
T2msi0.00488 (13)0.00656 (13)0.00590 (15)0.00078 (10)0.00178 (11)0.00084 (10)
T1oal0.00558 (14)0.00967 (15)0.00406 (15)0.00280 (11)0.00194 (12)0.00081 (11)
T1mal0.00563 (13)0.00926 (14)0.00341 (14)0.00267 (10)0.00177 (11)0.00022 (10)
T2oal0.00453 (13)0.00510 (12)0.00564 (15)0.00013 (9)0.00142 (11)0.00077 (10)
T2mal0.00488 (13)0.00656 (13)0.00590 (15)0.00078 (10)0.00178 (11)0.00084 (10)
Oa10.02050 (17)0.02095 (16)0.00808 (14)0.00110 (12)0.00867 (12)0.00251 (10)
Oa20.00846 (11)0.00878 (10)0.00836 (12)0.00098 (8)0.00292 (9)0.00089 (8)
Obo0.01156 (13)0.01168 (12)0.01754 (16)0.00259 (9)0.00832 (12)0.00108 (10)
Obm0.01365 (15)0.01521 (14)0.0313 (2)0.00008 (11)0.01425 (15)0.00414 (13)
Oco0.01140 (12)0.01543 (13)0.01131 (14)0.00391 (10)0.00433 (10)0.00121 (9)
Ocm0.01228 (13)0.01599 (14)0.01049 (14)0.00550 (10)0.00181 (10)0.00353 (10)
Odo0.01128 (13)0.01409 (12)0.00787 (13)0.00169 (9)0.00023 (10)0.00122 (9)
Odm0.01121 (13)0.01457 (13)0.01122 (15)0.00075 (10)0.00219 (10)0.00341 (10)
(Volga_Blue_yellow) top
Crystal data top
Ca0.55Na0.45Al1.55Si2.45O8γ = 89.8247 (14)°
Mr = 271V = 1334.56 (4) Å3
Triclinic, X1(αβγ)0†Z = 8
q = 0.060260a* + 0.054400b* + -0.214700c*F(000) = 1075
a = 8.1690 (2) ÅMo Kα radiation, λ = 0.71073 Å
b = 12.8537 (1) ŵ = 1.28 mm1
c = 14.2096 (2) ÅT = 100 K
α = 93.6017 (7)°Block
β = 116.2891 (10)°0.12 × 0.11 × 0.06 mm
† Symmetry operations: (1) x1, x2, x3, x4; (2) −x1, −x2, −x3, −x4; (3) x1+1/2, x2+1/2, x3, x4+1/2; (4) −x1+1/2, −x2+1/2, −x3, −x4+1/2; (5) x1, x2, x3+1/2, x4+1/2; (6) −x1, −x2, −x3+1/2, −x4+1/2; (7) x1+1/2, x2+1/2, x3+1/2, x4; (8) −x1+1/2, −x2+1/2, −x3+1/2, −x4.

Data collection top
Bruker CCD
diffractometer
Rint = 0.111
Radiation source: X-ray tubeθmax = 30.5°, θmin = 1.9°
Graphite monochromatorh = 1011
32770 measured reflectionsk = 1818
10151 independent reflectionsl = 2020
4654 reflections with I > 3σ(I)
Refinement top
Refinement on F20 restraints
R[F2 > 2σ(F2)] = 0.033251 constraints
wR(F2) = 0.098Weighting scheme based on measured s.u.'s w = 1/(σ2(I) + 0.0016I2)
S = 1.02(Δ/σ)max = 0.047
10151 reflectionsΔρmax = 0.71 e Å3
640 parametersΔρmin = 0.54 e Å3
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/UeqOcc. (<1)
M1na0.2679 (2)0.0124 (3)0.0798 (4)0.0240 (6)0.45
M1ca0.2679 (2)0.0124 (3)0.0798 (4)0.0240 (6)0.200 (9)
M2ca0.2704 (3)0.0284 (2)0.04877 (16)0.0226 (6)0.350 (9)
T1osi0.49389 (4)0.33579 (2)0.10687 (2)0.00767 (10)0.395
T1msi0.50301 (4)0.31770 (2)0.11601 (2)0.00770 (10)0.6937
T2osi0.68535 (4)0.10907 (2)0.15792 (2)0.00753 (10)0.7026
T2msi0.18102 (4)0.37939 (2)0.17848 (2)0.00761 (10)0.6587
T1oal0.49389 (4)0.33579 (2)0.10687 (2)0.00767 (10)0.605
T1mal0.50301 (4)0.31770 (2)0.11601 (2)0.00770 (10)0.3063
T2oal0.68535 (4)0.10907 (2)0.15792 (2)0.00753 (10)0.2974
T2mal0.18102 (4)0.37939 (2)0.17848 (2)0.00761 (10)0.3413
Odm0.68947 (11)0.36701 (6)0.21598 (6)0.0163 (3)
Oa20.58028 (10)0.00712 (6)0.13878 (6)0.0108 (2)
Odo0.30110 (10)0.39275 (6)0.30843 (6)0.0136 (3)
Oa10.49801 (11)0.37179 (6)0.01139 (6)0.0154 (3)
Obm0.31645 (11)0.35296 (6)0.12292 (7)0.0197 (3)
Obo0.81176 (11)0.10494 (6)0.09420 (6)0.0143 (3)
Ocm0.51482 (11)0.18923 (6)0.10723 (6)0.0145 (3)
Oco0.48674 (11)0.20788 (6)0.13966 (6)0.0137 (3)
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
M1na0.0093 (4)0.0404 (13)0.0186 (9)0.0020 (5)0.0057 (4)0.0202 (8)
M1ca0.0093 (4)0.0404 (13)0.0186 (9)0.0020 (5)0.0057 (4)0.0202 (8)
M2ca0.0146 (6)0.0282 (12)0.0191 (8)0.0054 (6)0.0037 (5)0.0111 (8)
T1osi0.00990 (14)0.00835 (14)0.00568 (12)0.00085 (10)0.00439 (10)0.00045 (10)
T1msi0.01046 (14)0.00848 (13)0.00499 (12)0.00334 (10)0.00438 (10)0.00105 (10)
T2osi0.00964 (14)0.00509 (12)0.00798 (13)0.00099 (10)0.00425 (10)0.00148 (10)
T2msi0.00967 (14)0.00633 (13)0.00746 (13)0.00104 (10)0.00445 (10)0.00017 (10)
T1oal0.00990 (14)0.00835 (14)0.00568 (12)0.00085 (10)0.00439 (10)0.00045 (10)
T1mal0.01046 (14)0.00848 (13)0.00499 (12)0.00334 (10)0.00438 (10)0.00105 (10)
T2oal0.00964 (14)0.00509 (12)0.00798 (13)0.00099 (10)0.00425 (10)0.00148 (10)
T2mal0.00967 (14)0.00633 (13)0.00746 (13)0.00104 (10)0.00445 (10)0.00017 (10)
Odm0.0166 (4)0.0128 (4)0.0125 (3)0.0018 (3)0.0008 (3)0.0037 (3)
Oa20.0144 (4)0.0087 (3)0.0093 (3)0.0006 (3)0.0053 (3)0.0001 (3)
Odo0.0150 (4)0.0118 (4)0.0097 (3)0.0002 (3)0.0017 (3)0.0000 (3)
Oa10.0238 (4)0.0175 (4)0.0081 (3)0.0018 (3)0.0100 (3)0.0015 (3)
Obm0.0182 (4)0.0164 (4)0.0294 (5)0.0018 (3)0.0156 (4)0.0039 (3)
Obo0.0165 (4)0.0105 (3)0.0193 (4)0.0009 (3)0.0114 (3)0.0017 (3)
Ocm0.0156 (4)0.0148 (4)0.0109 (3)0.0053 (3)0.0045 (3)0.0034 (3)
Oco0.0148 (4)0.0150 (4)0.0117 (3)0.0016 (3)0.0064 (3)0.0004 (3)
(89GM97) top
Crystal data top
Ca0.57Na0.43Al1.57Si2.43O8γ = 90.086 (3)°
Mr = 271.3V = 1337.33 (7) Å3
Triclinic, X1(αβγ)0†Z = 8
q = 0.035690a* + 0.062230b* + -0.155820c*F(000) = 1076
a = 8.1742 (3) ÅMo Kα radiation, λ = 0.71073 Å
b = 12.8639 (2) ŵ = 1.29 mm1
c = 14.2056 (4) ÅT = 100 K
α = 93.4852 (10)°Block
β = 116.1830 (12)°0.14 × 0.10 × 0.06 mm
† Symmetry operations: (1) x1, x2, x3, x4; (2) −x1, −x2, −x3, −x4; (3) x1+1/2, x2+1/2, x3, x4+1/2; (4) −x1+1/2, −x2+1/2, −x3, −x4+1/2; (5) x1, x2, x3+1/2, x4+1/2; (6) −x1, −x2, −x3+1/2, −x4+1/2; (7) x1+1/2, x2+1/2, x3+1/2, x4; (8) −x1+1/2, −x2+1/2, −x3+1/2, −x4.

Data collection top
Bruker CCD
diffractometer
Rint = 0.047
Radiation source: X-ray tubeθmax = 30.5°, θmin = 2.0°
Graphite monochromatorh = 1111
32224 measured reflectionsk = 1818
10156 independent reflectionsl = 2020
5174 reflections with I > 3σ(I)
Refinement top
Refinement on F20 restraints
R[F2 > 2σ(F2)] = 0.032251 constraints
wR(F2) = 0.103Weighting scheme based on measured s.u.'s w = 1/(σ2(I) + 0.0016I2)
S = 1.19(Δ/σ)max = 0.048
10156 reflectionsΔρmax = 0.65 e Å3
640 parametersΔρmin = 0.51 e Å3
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/UeqOcc. (<1)
M1na0.26733 (17)0.0126 (5)0.0809 (4)0.0355 (8)0.43
M1ca0.26733 (17)0.0126 (5)0.0809 (4)0.0355 (8)0.157 (7)
M2ca0.27168 (13)0.02922 (9)0.04881 (11)0.0235 (3)0.413 (7)
T1osi0.49399 (3)0.335834 (19)0.107278 (19)0.01035 (9)0.4365
T1msi0.50305 (3)0.317133 (19)0.115816 (18)0.01054 (9)0.6699
T2osi0.68551 (3)0.109170 (19)0.158599 (19)0.01048 (9)0.686
T2msi0.18175 (3)0.379182 (19)0.178577 (18)0.01021 (9)0.6375
T1oal0.49399 (3)0.335834 (19)0.107278 (19)0.01035 (9)0.5635
T1mal0.50305 (3)0.317133 (19)0.115816 (18)0.01054 (9)0.3301
T2oal0.68551 (3)0.109170 (19)0.158599 (19)0.01048 (9)0.314
T2mal0.18175 (3)0.379182 (19)0.178577 (18)0.01021 (9)0.3625
Odm0.68986 (10)0.36669 (6)0.21552 (6)0.0229 (3)
Oa20.58097 (9)0.00753 (5)0.13920 (5)0.0152 (2)
Odo0.30206 (9)0.39265 (6)0.30833 (5)0.0191 (2)
Oa10.49779 (10)0.37116 (6)0.01061 (5)0.0206 (3)
Obm0.31655 (10)0.35351 (6)0.12216 (6)0.0260 (3)
Obo0.81245 (10)0.10511 (6)0.09454 (6)0.0200 (3)
Ocm0.51374 (9)0.18815 (6)0.10740 (5)0.0204 (2)
Oco0.48633 (10)0.20879 (6)0.14011 (5)0.0196 (2)
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
M1na0.0099 (4)0.0648 (18)0.0266 (11)0.0066 (5)0.0070 (4)0.0264 (12)
M1ca0.0099 (4)0.0648 (18)0.0266 (11)0.0066 (5)0.0070 (4)0.0264 (12)
M2ca0.0136 (3)0.0299 (6)0.0209 (4)0.0059 (3)0.0030 (3)0.0072 (4)
T1osi0.01009 (12)0.01258 (13)0.00826 (12)0.00199 (9)0.00389 (9)0.00139 (9)
T1msi0.01065 (12)0.01311 (12)0.00767 (11)0.00368 (9)0.00380 (9)0.00134 (9)
T2osi0.00985 (12)0.00943 (12)0.01115 (12)0.00059 (9)0.00370 (9)0.00079 (9)
T2msi0.00964 (12)0.01011 (12)0.01037 (12)0.00082 (9)0.00376 (9)0.00222 (9)
T1oal0.01009 (12)0.01258 (13)0.00826 (12)0.00199 (9)0.00389 (9)0.00139 (9)
T1mal0.01065 (12)0.01311 (12)0.00767 (11)0.00368 (9)0.00380 (9)0.00134 (9)
T2oal0.00985 (12)0.00943 (12)0.01115 (12)0.00059 (9)0.00370 (9)0.00079 (9)
T2mal0.00964 (12)0.01011 (12)0.01037 (12)0.00082 (9)0.00376 (9)0.00222 (9)
Odm0.0199 (4)0.0228 (4)0.0160 (3)0.0014 (3)0.0006 (3)0.0019 (3)
Oa20.0148 (3)0.0128 (3)0.0161 (3)0.0003 (2)0.0049 (2)0.0033 (2)
Odo0.0185 (3)0.0199 (3)0.0128 (3)0.0006 (3)0.0012 (3)0.0026 (2)
Oa10.0274 (4)0.0257 (4)0.0118 (3)0.0023 (3)0.0112 (3)0.0043 (3)
Obm0.0208 (4)0.0266 (4)0.0361 (4)0.0028 (3)0.0180 (3)0.0010 (3)
Obo0.0191 (3)0.0189 (3)0.0254 (4)0.0027 (3)0.0132 (3)0.0003 (3)
Ocm0.0187 (3)0.0197 (3)0.0181 (3)0.0066 (3)0.0040 (3)0.0007 (3)
Oco0.0191 (3)0.0197 (3)0.0201 (3)0.0033 (3)0.0087 (3)0.0014 (3)
(Volga_Blue_colorless) top
Crystal data top
Ca0.59Na0.41Al1.59Si2.41O8γ = 89.9327 (13)°
Mr = 271.7V = 1336.51 (3) Å3
Triclinic, X1(αβγ)0†Z = 8
q = 0.052470a* + 0.058830b* + -0.194380c*F(000) = 1076
a = 8.1729 (1) ÅMo Kα radiation, λ = 0.71073 Å
b = 12.8590 (1) ŵ = 1.31 mm1
c = 14.2110 (2) ÅT = 100 K
α = 93.5722 (5)°Block
β = 116.2323 (7)°0.08 × 0.06 × 0.04 mm
† Symmetry operations: (1) x1, x2, x3, x4; (2) −x1, −x2, −x3, −x4; (3) x1+1/2, x2+1/2, x3, x4+1/2; (4) −x1+1/2, −x2+1/2, −x3, −x4+1/2; (5) x1, x2, x3+1/2, x4+1/2; (6) −x1, −x2, −x3+1/2, −x4+1/2; (7) x1+1/2, x2+1/2, x3+1/2, x4; (8) −x1+1/2, −x2+1/2, −x3+1/2, −x4.

Data collection top
Bruker CCD
diffractometer
Rint = 0.089
Radiation source: X-ray tubeθmax = 42.6°, θmin = 0.6°
Graphite monochromatorh = 1215
63069 measured reflectionsk = 2424
18772 independent reflectionsl = 2621
5597 reflections with I > 3σ(I)
Refinement top
Refinement on F20 restraints
R[F2 > 2σ(F2)] = 0.033251 constraints
wR(F2) = 0.082Weighting scheme based on measured s.u.'s w = 1/(σ2(I) + 0.0004I2)
S = 0.94(Δ/σ)max = 0.035
18772 reflectionsΔρmax = 0.92 e Å3
640 parametersΔρmin = 0.61 e Å3
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/UeqOcc. (<1)
M1na0.26845 (18)0.0119 (3)0.0805 (3)0.0247 (5)0.41
M1ca0.26845 (18)0.0119 (3)0.0805 (3)0.0247 (5)0.227 (7)
M2ca0.2697 (2)0.02931 (13)0.04771 (11)0.0200 (4)0.363 (7)
T1osi0.49400 (3)0.336104 (17)0.107020 (17)0.00866 (7)0.4016
T1msi0.50306 (3)0.317647 (16)0.115992 (16)0.00881 (7)0.6775
T2osi0.68488 (3)0.109018 (15)0.157879 (16)0.00879 (7)0.6861
T2msi0.18091 (3)0.379319 (16)0.178573 (16)0.00871 (7)0.6447
T1oal0.49400 (3)0.336104 (17)0.107020 (17)0.00866 (7)0.5984
T1mal0.50306 (3)0.317647 (16)0.115992 (16)0.00881 (7)0.3225
T2oal0.68488 (3)0.109018 (15)0.157879 (16)0.00879 (7)0.3138
T2mal0.18091 (3)0.379319 (16)0.178573 (16)0.00871 (7)0.3553
Odm0.68999 (8)0.36700 (4)0.21576 (4)0.0172 (2)
Oa20.57937 (7)0.00726 (4)0.13872 (4)0.01113 (18)
Odo0.30144 (7)0.39313 (4)0.30897 (4)0.01447 (19)
Oa10.49827 (8)0.37240 (4)0.01135 (4)0.0159 (2)
Obm0.31617 (8)0.35321 (4)0.12291 (5)0.0205 (2)
Obo0.81127 (8)0.10434 (4)0.09375 (4)0.0154 (2)
Ocm0.51394 (8)0.18893 (4)0.10663 (4)0.0149 (2)
Oco0.48663 (8)0.20841 (4)0.13992 (4)0.0140 (2)
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
M1na0.0084 (3)0.0405 (10)0.0200 (8)0.0020 (4)0.0041 (3)0.0185 (6)
M1ca0.0084 (3)0.0405 (10)0.0200 (8)0.0020 (4)0.0041 (3)0.0185 (6)
M2ca0.0122 (5)0.0256 (8)0.0176 (6)0.0043 (4)0.0034 (4)0.0069 (5)
T1osi0.00888 (10)0.00984 (10)0.00684 (10)0.00120 (7)0.00302 (8)0.00109 (7)
T1msi0.00958 (10)0.00977 (9)0.00646 (9)0.00326 (7)0.00298 (8)0.00054 (7)
T2osi0.00866 (10)0.00710 (9)0.00963 (10)0.00095 (7)0.00320 (8)0.00018 (7)
T2msi0.00874 (10)0.00766 (9)0.00899 (10)0.00084 (7)0.00311 (8)0.00157 (7)
T1oal0.00888 (10)0.00984 (10)0.00684 (10)0.00120 (7)0.00302 (8)0.00109 (7)
T1mal0.00958 (10)0.00977 (9)0.00646 (9)0.00326 (7)0.00298 (8)0.00054 (7)
T2oal0.00866 (10)0.00710 (9)0.00963 (10)0.00095 (7)0.00320 (8)0.00018 (7)
T2mal0.00874 (10)0.00766 (9)0.00899 (10)0.00084 (7)0.00311 (8)0.00157 (7)
Odm0.0144 (3)0.0146 (3)0.0128 (3)0.0016 (2)0.0023 (2)0.0027 (2)
Oa20.0125 (3)0.0098 (2)0.0099 (2)0.00091 (18)0.0038 (2)0.00150 (18)
Odo0.0140 (3)0.0136 (3)0.0098 (2)0.0001 (2)0.0003 (2)0.0013 (2)
Oa10.0221 (3)0.0182 (3)0.0090 (3)0.0010 (2)0.0082 (2)0.0023 (2)
Obm0.0162 (3)0.0174 (3)0.0315 (4)0.0012 (2)0.0143 (3)0.0028 (2)
Obo0.0150 (3)0.0120 (3)0.0216 (3)0.0016 (2)0.0106 (2)0.0007 (2)
Ocm0.0145 (3)0.0150 (3)0.0109 (3)0.0047 (2)0.0022 (2)0.0021 (2)
Oco0.0139 (3)0.0147 (3)0.0126 (3)0.0021 (2)0.0051 (2)0.0011 (2)
(11044.p1) top
Crystal data top
Ca0.6Na0.4Al1.6Si2.4O8γ = 90.1720 (14)°
Mr = 271.8V = 1335.89 (4) Å3
Triclinic, X1(αβγ)0†Z = 8
q = 0.048700a* + 0.059280b* + -0.184920c*F(000) = 1078
a = 8.1719 (2) ÅMo Kα radiation, λ = 0.71073 Å
b = 12.8602 (1) ŵ = 1.31 mm1
c = 14.2016 (2) ÅT = 100 K
α = 93.5140 (7)°Block
β = 116.1984 (10)°0.11 × 0.11 × 0.06 mm
† Symmetry operations: (1) x1, x2, x3, x4; (2) −x1, −x2, −x3, −x4; (3) x1+1/2, x2+1/2, x3, x4+1/2; (4) −x1+1/2, −x2+1/2, −x3, −x4+1/2; (5) x1, x2, x3+1/2, x4+1/2; (6) −x1, −x2, −x3+1/2, −x4+1/2; (7) x1+1/2, x2+1/2, x3+1/2, x4; (8) −x1+1/2, −x2+1/2, −x3+1/2, −x4.

Data collection top
Bruker CCD
diffractometer
Rint = 0.093
Radiation source: X-ray tubeθmax = 30.5°, θmin = 2.0°
Graphite monochromatorh = 1110
32383 measured reflectionsk = 1818
10094 independent reflectionsl = 2020
4867 reflections with I > 3σ(I)
Refinement top
Refinement on F20 restraints
R[F2 > 2σ(F2)] = 0.032251 constraints
wR(F2) = 0.102Weighting scheme based on measured s.u.'s w = 1/(σ2(I) + 0.0016I2)
S = 1.11(Δ/σ)max = 0.042
10094 reflectionsΔρmax = 0.80 e Å3
640 parametersΔρmin = 0.50 e Å3
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/UeqOcc. (<1)
M1na0.26693 (15)0.0116 (4)0.0809 (4)0.0279 (7)0.4
M1ca0.26693 (15)0.0116 (4)0.0809 (4)0.0279 (7)0.210 (8)
M2ca0.27110 (14)0.03072 (8)0.04692 (11)0.0154 (3)0.390 (8)
T1osi0.49403 (4)0.33653 (2)0.107213 (19)0.00805 (9)0.4432
T1msi0.50284 (3)0.31708 (2)0.115766 (19)0.00819 (9)0.6599
T2osi0.68485 (3)0.10881 (2)0.158132 (19)0.00842 (9)0.6696
T2msi0.18081 (3)0.37889 (2)0.178573 (19)0.00803 (9)0.6274
T1oal0.49403 (4)0.33653 (2)0.107213 (19)0.00805 (9)0.5568
T1mal0.50284 (3)0.31708 (2)0.115766 (19)0.00819 (9)0.3401
T2oal0.68485 (3)0.10881 (2)0.158132 (19)0.00842 (9)0.3304
T2mal0.18081 (3)0.37889 (2)0.178573 (19)0.00803 (9)0.3726
Odm0.69018 (10)0.36661 (6)0.21570 (6)0.0184 (3)
Oa20.57920 (9)0.00801 (5)0.13894 (5)0.0114 (2)
Odo0.30173 (9)0.39301 (6)0.30882 (5)0.0152 (2)
Oa10.49786 (10)0.37196 (6)0.01068 (5)0.0167 (3)
Obm0.31594 (10)0.35299 (6)0.12222 (6)0.0211 (3)
Obo0.81207 (10)0.10363 (6)0.09398 (6)0.0161 (3)
Ocm0.51333 (10)0.18807 (6)0.10630 (5)0.0159 (2)
Oco0.48700 (10)0.20951 (6)0.14038 (5)0.0148 (2)
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
M1na0.0054 (3)0.0545 (13)0.0182 (11)0.0049 (4)0.0035 (3)0.0234 (10)
M1ca0.0054 (3)0.0545 (13)0.0182 (11)0.0049 (4)0.0035 (3)0.0234 (10)
M2ca0.0086 (3)0.0215 (6)0.0119 (4)0.0034 (2)0.0014 (2)0.0049 (3)
T1osi0.00684 (12)0.01174 (13)0.00532 (12)0.00249 (9)0.00247 (9)0.00072 (9)
T1msi0.00710 (12)0.01195 (13)0.00486 (12)0.00227 (9)0.00207 (9)0.00012 (9)
T2osi0.00673 (12)0.00914 (12)0.00808 (12)0.00003 (9)0.00217 (9)0.00018 (9)
T2msi0.00632 (12)0.00958 (12)0.00744 (12)0.00033 (9)0.00228 (9)0.00120 (9)
T1oal0.00684 (12)0.01174 (13)0.00532 (12)0.00249 (9)0.00247 (9)0.00072 (9)
T1mal0.00710 (12)0.01195 (13)0.00486 (12)0.00227 (9)0.00207 (9)0.00012 (9)
T2oal0.00673 (12)0.00914 (12)0.00808 (12)0.00003 (9)0.00217 (9)0.00018 (9)
T2mal0.00632 (12)0.00958 (12)0.00744 (12)0.00033 (9)0.00228 (9)0.00120 (9)
Odm0.0140 (3)0.0180 (4)0.0133 (3)0.0017 (3)0.0024 (3)0.0029 (3)
Oa20.0109 (3)0.0124 (3)0.0099 (3)0.0003 (2)0.0037 (2)0.0013 (2)
Odo0.0133 (3)0.0163 (3)0.0098 (3)0.0011 (3)0.0006 (3)0.0013 (2)
Oa10.0232 (4)0.0224 (4)0.0073 (3)0.0011 (3)0.0090 (3)0.0030 (3)
Obm0.0153 (4)0.0205 (4)0.0313 (4)0.0001 (3)0.0142 (3)0.0034 (3)
Obo0.0150 (3)0.0150 (3)0.0210 (4)0.0019 (3)0.0108 (3)0.0011 (3)
Ocm0.0138 (3)0.0185 (3)0.0113 (3)0.0041 (3)0.0022 (3)0.0022 (3)
Oco0.0131 (3)0.0182 (3)0.0126 (3)0.0034 (3)0.0052 (3)0.0013 (3)
(67796b) top
Crystal data top
Ca0.6Na0.4Al1.6Si2.4O8γ = 90.049 (3)°
Mr = 271.8V = 1333.69 (7) Å3
Triclinic, X1(αβγ)0†Z = 8
q = 0.048770a* + 0.066330b* + -0.190800c*F(000) = 1072
a = 8.1652 (3) ÅMo Kα radiation, λ = 0.71073 Å
b = 12.8518 (2) ŵ = 1.31 mm1
c = 14.2036 (4) ÅT = 100 K
α = 93.5933 (9)°Block
β = 116.2311 (9)°0.12 × 0.07 × 0.04 mm
† Symmetry operations: (1) x1, x2, x3, x4; (2) −x1, −x2, −x3, −x4; (3) x1+1/2, x2+1/2, x3, x4+1/2; (4) −x1+1/2, −x2+1/2, −x3, −x4+1/2; (5) x1, x2, x3+1/2, x4+1/2; (6) −x1, −x2, −x3+1/2, −x4+1/2; (7) x1+1/2, x2+1/2, x3+1/2, x4; (8) −x1+1/2, −x2+1/2, −x3+1/2, −x4.

Data collection top
Bruker CCD
diffractometer
Rint = 0.086
Radiation source: X-ray tubeθmax = 30.6°, θmin = 1.9°
Graphite monochromatorh = 1111
39876 measured reflectionsk = 1818
10151 independent reflectionsl = 2020
5543 reflections with I > 3σ(I)
Refinement top
Refinement on F20 restraints
R[F2 > 2σ(F2)] = 0.036251 constraints
wR(F2) = 0.090Weighting scheme based on measured s.u.'s w = 1/(σ2(I) + 0.0004I2)
S = 1.66(Δ/σ)max = 0.048
10151 reflectionsΔρmax = 0.76 e Å3
640 parametersΔρmin = 0.64 e Å3
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/UeqOcc. (<1)
M1na0.2679 (2)0.0117 (5)0.0811 (6)0.0274 (8)0.4
M1ca0.2679 (2)0.0117 (5)0.0811 (6)0.0274 (8)0.214 (11)
M2ca0.2702 (2)0.03016 (12)0.04722 (13)0.0181 (5)0.386 (11)
T1osi0.49405 (4)0.33658 (2)0.10701 (2)0.01024 (10)0.4165
T1msi0.50314 (4)0.31745 (2)0.11584 (2)0.01035 (10)0.6705
T2osi0.68461 (4)0.10881 (2)0.15787 (2)0.01044 (10)0.6873
T2msi0.18079 (4)0.37915 (2)0.17857 (2)0.01011 (10)0.6257
T1oal0.49405 (4)0.33658 (2)0.10701 (2)0.01024 (10)0.5835
T1mal0.50314 (4)0.31745 (2)0.11584 (2)0.01035 (10)0.3295
T2oal0.68461 (4)0.10881 (2)0.15787 (2)0.01044 (10)0.3127
T2mal0.18079 (4)0.37915 (2)0.17857 (2)0.01011 (10)0.3743
Odm0.69029 (10)0.36673 (6)0.21601 (6)0.0188 (3)
Oa20.57888 (9)0.00765 (5)0.13854 (5)0.0127 (2)
Odo0.30170 (10)0.39340 (5)0.30901 (6)0.0159 (3)
Oa10.49836 (10)0.37219 (6)0.01128 (6)0.0174 (3)
Obm0.31622 (10)0.35308 (6)0.12242 (7)0.0218 (3)
Obo0.81120 (10)0.10389 (5)0.09370 (6)0.0168 (3)
Ocm0.51375 (10)0.18838 (6)0.10628 (6)0.0165 (3)
Oco0.48682 (10)0.20902 (6)0.14023 (6)0.0153 (3)
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
M1na0.0125 (4)0.0423 (13)0.0241 (15)0.0040 (5)0.0078 (5)0.0195 (11)
M1ca0.0125 (4)0.0423 (13)0.0241 (15)0.0040 (5)0.0078 (5)0.0195 (11)
M2ca0.0136 (5)0.0223 (8)0.0159 (6)0.0036 (4)0.0050 (4)0.0058 (5)
T1osi0.01223 (13)0.01008 (12)0.01005 (14)0.00190 (10)0.00659 (11)0.00048 (10)
T1msi0.01267 (13)0.01013 (12)0.00963 (14)0.00189 (10)0.00640 (11)0.00094 (10)
T2osi0.01224 (13)0.00772 (11)0.01232 (14)0.00036 (9)0.00655 (11)0.00130 (10)
T2msi0.01171 (13)0.00847 (12)0.01136 (14)0.00001 (9)0.00626 (11)0.00022 (10)
T1oal0.01223 (13)0.01008 (12)0.01005 (14)0.00190 (10)0.00659 (11)0.00048 (10)
T1mal0.01267 (13)0.01013 (12)0.00963 (14)0.00189 (10)0.00640 (11)0.00094 (10)
T2oal0.01224 (13)0.00772 (11)0.01232 (14)0.00036 (9)0.00655 (11)0.00130 (10)
T2mal0.01171 (13)0.00847 (12)0.01136 (14)0.00001 (9)0.00626 (11)0.00022 (10)
Odm0.0176 (4)0.0154 (3)0.0153 (4)0.0017 (3)0.0005 (3)0.0039 (3)
Oa20.0162 (3)0.0104 (3)0.0122 (3)0.0007 (2)0.0071 (3)0.0003 (3)
Odo0.0180 (4)0.0128 (3)0.0128 (4)0.0009 (3)0.0032 (3)0.0002 (3)
Oa10.0261 (4)0.0177 (3)0.0115 (4)0.0003 (3)0.0113 (3)0.0003 (3)
Obm0.0195 (4)0.0177 (4)0.0331 (5)0.0005 (3)0.0170 (4)0.0037 (3)
Obo0.0183 (4)0.0122 (3)0.0239 (4)0.0021 (3)0.0135 (3)0.0019 (3)
Ocm0.0184 (4)0.0155 (3)0.0137 (4)0.0031 (3)0.0060 (3)0.0028 (3)
Oco0.0173 (4)0.0145 (3)0.0152 (4)0.0026 (3)0.0085 (3)0.0004 (3)
(Dul-15-6A) top
Crystal data top
Ca0.64Na0.36Al1.64Si2.36O8γ = 90.236 (3)°
Mr = 272.5V = 1335.59 (6) Å3
Triclinic, X1(αβγ)0†Z = 8
q = 0.038820a* + 0.065080b* + -0.167260c*F(000) = 1081
a = 8.1684 (3) ÅMo Kα radiation, λ = 0.71073 Å
b = 12.8620 (2) ŵ = 1.34 mm1
c = 14.2016 (2) ÅT = 100 K
α = 93.5396 (7)°Block
β = 116.1820 (6)°0.14 × 0.11 × 0.07 mm
† Symmetry operations: (1) x1, x2, x3, x4; (2) −x1, −x2, −x3, −x4; (3) x1, x2, x3+1/2, x4+1/2; (4) −x1, −x2, −x3+1/2, −x4+1/2; (5) x1+1/2, x2+1/2, x3, x4+1/2; (6) −x1+1/2, −x2+1/2, −x3, −x4+1/2; (7) x1+1/2, x2+1/2, x3+1/2, x4; (8) −x1+1/2, −x2+1/2, −x3+1/2, −x4.

Data collection top
Bruker CCD
diffractometer
Rint = 0.081
Radiation source: X-ray tubeθmax = 33.6°, θmin = 2.0°
Graphite monochromatorh = 1212
53585 measured reflectionsk = 1919
12249 independent reflectionsl = 2122
7543 reflections with I > 3σ(I)
Refinement top
Refinement on F20 restraints
R[F2 > 2σ(F2)] = 0.031251 constraints
wR(F2) = 0.100Weighting scheme based on measured s.u.'s w = 1/(σ2(I) + 0.0016I2)
S = 1.33(Δ/σ)max = 0.031
12249 reflectionsΔρmax = 0.82 e Å3
640 parametersΔρmin = 0.51 e Å3
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/UeqOcc. (<1)
M1na0.26621 (11)0.0121 (3)0.0823 (2)0.0226 (5)0.36
M1ca0.26621 (11)0.0121 (3)0.0823 (2)0.0226 (5)0.207 (5)
M2ca0.27071 (7)0.03150 (5)0.04657 (8)0.01313 (19)0.433 (5)
T1osi0.49422 (3)0.337024 (15)0.107269 (16)0.00619 (7)0.443
T1msi0.50285 (3)0.317151 (15)0.115774 (16)0.00655 (7)0.6419
T2osi0.68406 (3)0.108710 (15)0.157831 (17)0.00696 (7)0.6622
T2msi0.18046 (3)0.378931 (15)0.178696 (16)0.00665 (7)0.6129
T1oal0.49422 (3)0.337024 (15)0.107269 (16)0.00619 (7)0.557
T1mal0.50285 (3)0.317151 (15)0.115774 (16)0.00655 (7)0.3581
T2oal0.68406 (3)0.108710 (15)0.157831 (17)0.00696 (7)0.3378
T2mal0.18046 (3)0.378931 (15)0.178696 (16)0.00665 (7)0.3871
Odm0.69045 (8)0.36624 (5)0.21606 (5)0.0175 (2)
Oa20.57788 (7)0.00820 (4)0.13886 (4)0.00935 (17)
Odo0.30184 (8)0.39369 (4)0.30900 (4)0.01337 (18)
Oa10.49830 (8)0.37260 (4)0.01082 (4)0.0149 (2)
Obm0.31605 (8)0.35351 (5)0.12226 (6)0.0197 (2)
Obo0.81135 (8)0.10301 (5)0.09365 (5)0.0144 (2)
Ocm0.51266 (7)0.18789 (4)0.10582 (4)0.01338 (18)
Oco0.48719 (8)0.21004 (4)0.14068 (4)0.01252 (18)
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
M1na0.0049 (2)0.0434 (10)0.0151 (7)0.0042 (3)0.0031 (3)0.0183 (7)
M1ca0.0049 (2)0.0434 (10)0.0151 (7)0.0042 (3)0.0031 (3)0.0183 (7)
M2ca0.0079 (2)0.0173 (3)0.0104 (3)0.00363 (17)0.00113 (17)0.00403 (19)
T1osi0.00520 (9)0.00795 (9)0.00444 (10)0.00162 (7)0.00122 (7)0.00078 (7)
T1msi0.00606 (9)0.00854 (9)0.00393 (10)0.00236 (7)0.00120 (7)0.00031 (7)
T2osi0.00543 (10)0.00588 (9)0.00781 (10)0.00031 (7)0.00137 (8)0.00003 (7)
T2msi0.00522 (9)0.00650 (9)0.00679 (10)0.00048 (7)0.00123 (8)0.00137 (7)
T1oal0.00520 (9)0.00795 (9)0.00444 (10)0.00162 (7)0.00122 (7)0.00078 (7)
T1mal0.00606 (9)0.00854 (9)0.00393 (10)0.00236 (7)0.00120 (7)0.00031 (7)
T2oal0.00543 (10)0.00588 (9)0.00781 (10)0.00031 (7)0.00137 (8)0.00003 (7)
T2mal0.00522 (9)0.00650 (9)0.00679 (10)0.00048 (7)0.00123 (8)0.00137 (7)
Odm0.0132 (3)0.0146 (3)0.0134 (3)0.0023 (2)0.0037 (2)0.0032 (2)
Oa20.0087 (2)0.0088 (2)0.0087 (2)0.00032 (18)0.0021 (2)0.00177 (17)
Odo0.0117 (2)0.0121 (2)0.0090 (3)0.00020 (19)0.0021 (2)0.00071 (18)
Oa10.0212 (3)0.0176 (3)0.0081 (3)0.0018 (2)0.0082 (2)0.00227 (19)
Obm0.0142 (3)0.0166 (3)0.0318 (4)0.0005 (2)0.0138 (3)0.0034 (2)
Obo0.0131 (3)0.0115 (2)0.0203 (3)0.00149 (19)0.0094 (2)0.0013 (2)
Ocm0.0117 (2)0.0141 (2)0.0100 (3)0.00436 (19)0.0010 (2)0.00146 (19)
Oco0.0113 (2)0.0141 (2)0.0106 (3)0.00221 (19)0.0034 (2)0.00121 (19)
(Dul-15-6A_neutron) top
Crystal data top
Ca0.918Na0Al1.64Si2.36O8γ = 90.236 (3)°
Mr = 275.3V = 1335.59 (6) Å3
Triclinic, X1(αβγ)0†Z = 8
q = 0.038820a* + 0.065080b* + -0.167260c*F(000) = 529.495
a = 8.1684 (3) ÅNeutrons radiation, λ = 0.40-3.49 Å
b = 12.8620 (2) ŵ = 0.03 mm1
c = 14.2016 (2) ÅT = 100 K
α = 93.5396 (7)°Cubic, yellow
β = 116.1820 (6)°2.5 × 2 × 1.5 × 2 (radius) mm
† Symmetry operations: (1) x1, x2, x3, x4; (2) −x1, −x2, −x3, −x4; (3) x1+1/2, x2+1/2, x3, x4+1/2; (4) −x1+1/2, −x2+1/2, −x3, −x4+1/2; (5) x1, x2, x3+1/2, x4+1/2; (6) −x1, −x2, −x3+1/2, −x4+1/2; (7) x1+1/2, x2+1/2, x3+1/2, x4; (8) −x1+1/2, −x2+1/2, −x3+1/2, −x4.

Data collection top
TOPAZ
diffractometer
14829 reflections with I > 3σ(I)
Radiation source: The ORNL Spallation Neutron ScourceRint = 0.071
time–of–flight Laue scansθmax = 78.4°, θmin = 7.5°
Absorption correction: for a sphere
C. W. Dwiggins, Jr., Acta Cryst. A31, 395 (1975).
h = 1616
Tmin = 0.945, Tmax = 0.960k = 2626
45606 measured reflectionsl = 2829
16387 independent reflections
Refinement top
Refinement on F2202 constraints
R[F2 > 2σ(F2)] = 0.066Weighting scheme based on measured s.u.'s w = 1/(σ2(I) + 0.0100000007I2)
wR(F2) = 0.199(Δ/σ)max = 0.016
S = 1.41Δρmax = 3.14 e Å3
16387 reflectionsΔρmin = 3.07 e Å3
620 parametersExtinction correction: B-C type 1 Lorentzian isotropic (Becker & Coppens, 1974)
0 restraintsExtinction coefficient: 158 (15)
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/UeqOcc. (<1)
M10.2690 (9)0.0296 (10)0.0882 (5)0.0155 (5)0.277 (9)
M1.50.2642 (5)0.0020 (7)0.0738 (5)0.0180 (13)0.204 (12)
M20.27090 (19)0.03238 (14)0.04660 (13)0.0099 (3)0.437 (15)
T1osi0.49413 (7)0.33693 (4)0.10720 (4)0.00795 (11)0.5519
T1msi0.50314 (7)0.31734 (4)0.11585 (4)0.00757 (10)0.5829
T2osi0.68412 (6)0.10872 (4)0.15777 (4)0.00750 (10)0.6159
T2msi0.18046 (6)0.37913 (4)0.17873 (4)0.00758 (10)0.6093
T1oal0.49413 (7)0.33693 (4)0.10720 (4)0.00795 (11)0.4481
T1mal0.50314 (7)0.31734 (4)0.11585 (4)0.00757 (10)0.4171
T2oal0.68412 (6)0.10872 (4)0.15777 (4)0.00750 (10)0.3841
T2mal0.18046 (6)0.37913 (4)0.17873 (4)0.00758 (10)0.3907
Odm0.69014 (7)0.36640 (4)0.21564 (4)0.01912 (12)
Oa20.57788 (5)0.00795 (3)0.13874 (3)0.01006 (8)
Odo0.30127 (6)0.39365 (3)0.30957 (3)0.01483 (10)
Oa10.49820 (7)0.37237 (4)0.01095 (3)0.01706 (13)
Obm0.31591 (7)0.35372 (4)0.12238 (6)0.02220 (17)
Obo0.81158 (6)0.10306 (3)0.09381 (4)0.01563 (12)
Ocm0.51301 (6)0.18792 (4)0.10614 (3)0.01528 (11)
Oco0.48694 (6)0.20993 (3)0.14023 (3)0.01407 (10)
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
M10.0110 (5)0.0229 (9)0.0139 (7)0.0058 (5)0.0080 (5)0.0081 (6)
M1.50.0072 (8)0.026 (3)0.0154 (17)0.0027 (9)0.0011 (8)0.0085 (18)
M20.0074 (3)0.0119 (4)0.0082 (4)0.0027 (2)0.0018 (2)0.0017 (3)
T1osi0.00714 (14)0.01103 (15)0.00546 (15)0.00223 (11)0.00257 (11)0.00082 (10)
T1msi0.00751 (14)0.01033 (15)0.00479 (14)0.00294 (11)0.00267 (11)0.00017 (10)
T2osi0.00645 (13)0.00716 (13)0.00790 (15)0.00072 (10)0.00241 (12)0.00055 (10)
T2msi0.00644 (13)0.00794 (13)0.00795 (15)0.00006 (10)0.00270 (11)0.00148 (10)
T1oal0.00714 (14)0.01103 (15)0.00546 (15)0.00223 (11)0.00257 (11)0.00082 (10)
T1mal0.00751 (14)0.01033 (15)0.00479 (14)0.00294 (11)0.00267 (11)0.00017 (10)
T2oal0.00645 (13)0.00716 (13)0.00790 (15)0.00072 (10)0.00241 (12)0.00055 (10)
T2mal0.00644 (13)0.00794 (13)0.00795 (15)0.00006 (10)0.00270 (11)0.00148 (10)
Odm0.01445 (15)0.01663 (15)0.01528 (17)0.00255 (11)0.00280 (12)0.00393 (12)
Oa20.00943 (11)0.01004 (11)0.01012 (12)0.00018 (8)0.00371 (9)0.00127 (8)
Odo0.01388 (14)0.01419 (13)0.01038 (13)0.00013 (10)0.00015 (10)0.00109 (10)
Oa10.02430 (19)0.02051 (17)0.00991 (14)0.00201 (13)0.01060 (14)0.00244 (11)
Obm0.01601 (16)0.01615 (16)0.0388 (3)0.00032 (12)0.01695 (19)0.00472 (16)
Obo0.01422 (14)0.01275 (13)0.02265 (19)0.00277 (10)0.01112 (13)0.00239 (11)
Ocm0.01445 (14)0.01704 (15)0.01091 (14)0.00594 (11)0.00283 (11)0.00225 (10)
Oco0.01284 (13)0.01609 (14)0.01309 (14)0.00293 (10)0.00551 (11)0.00160 (10)
(SKHHM) top
Crystal data top
Ca0.67Na0.33Al1.67Si2.33O8γ = 90.387 (9)°
Mr = 272.9V = 1339.8 (2) Å3
Triclinic, X1(αβγ)0†Z = 8
q = 0.017450a* + 0.064470b* + -0.096680c*F(000) = 1077
a = 8.1809 (10) ÅMo Kα radiation, λ = 0.71073 Å
b = 12.8723 (6) ŵ = 1.35 mm1
c = 14.2148 (12) ÅT = 100 K
α = 93.5325 (15)°0.10 × 0.06 × 0.04 mm
β = 116.1817°
† Symmetry operations: (1) x1, x2, x3, x4; (2) −x1, −x2, −x3, −x4; (3) x1+1/2, x2+1/2, x3, x4+1/2; (4) −x1+1/2, −x2+1/2, −x3, −x4+1/2; (5) x1, x2, x3+1/2, x4+1/2; (6) −x1, −x2, −x3+1/2, −x4+1/2; (7) x1+1/2, x2+1/2, x3+1/2, x4; (8) −x1+1/2, −x2+1/2, −x3+1/2, −x4.

Data collection top
Bruker CCD
diffractometer
Rint = 0.056
Radiation source: X-ray tubeθmax = 26.4°, θmin = 3.2°
Graphite monochromatorh = 1010
25254 measured reflectionsk = 1616
6776 independent reflectionsl = 1717
4330 reflections with I > 3σ(I)
Refinement top
Refinement on F20 restraints
R[F2 > 2σ(F2)] = 0.036251 constraints
wR(F2) = 0.115Weighting scheme based on measured s.u.'s w = 1/(σ2(I) + 0.0016I2)
S = 1.46(Δ/σ)max = 0.046
6776 reflectionsΔρmax = 0.65 e Å3
640 parametersΔρmin = 0.45 e Å3
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/UeqOcc. (<1)
M1na0.2662 (2)0.0122 (6)0.0828 (5)0.0277 (10)0.33
M1ca0.2662 (2)0.0122 (6)0.0828 (5)0.0277 (10)0.215 (8)
M2ca0.27111 (13)0.03152 (10)0.04671 (14)0.0146 (4)0.455 (8)
T1osi0.49425 (5)0.33739 (3)0.10729 (3)0.00848 (15)0.4498
T1msi0.50274 (5)0.31680 (3)0.11560 (3)0.00879 (15)0.6322
T2osi0.68400 (5)0.10853 (3)0.15788 (3)0.00926 (16)0.6501
T2msi0.18028 (5)0.37857 (3)0.17862 (3)0.00881 (15)0.5979
T1oal0.49425 (5)0.33739 (3)0.10729 (3)0.00848 (15)0.5502
T1mal0.50274 (5)0.31680 (3)0.11560 (3)0.00879 (15)0.3678
T2oal0.68400 (5)0.10853 (3)0.15788 (3)0.00926 (16)0.3499
T2mal0.18028 (5)0.37857 (3)0.17862 (3)0.00881 (15)0.4021
Odm0.69061 (14)0.36605 (8)0.21612 (8)0.0199 (4)
Oa20.57743 (12)0.00860 (7)0.13866 (7)0.0114 (4)
Odo0.30215 (13)0.39379 (7)0.30914 (7)0.0157 (4)
Oa10.49807 (14)0.37266 (7)0.01065 (7)0.0175 (4)
Obm0.31567 (13)0.35322 (8)0.12189 (9)0.0220 (4)
Obo0.81136 (13)0.10237 (7)0.09348 (8)0.0166 (4)
Ocm0.51178 (13)0.18734 (7)0.10518 (7)0.0161 (4)
Oco0.48723 (13)0.21065 (7)0.14109 (7)0.0146 (4)
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
M1na0.0113 (5)0.047 (2)0.0215 (15)0.0045 (6)0.0074 (5)0.0200 (16)
M1ca0.0113 (5)0.047 (2)0.0215 (15)0.0045 (6)0.0074 (5)0.0200 (16)
M2ca0.0120 (4)0.0150 (6)0.0144 (5)0.0045 (3)0.0043 (3)0.0052 (4)
T1osi0.0100 (2)0.0076 (2)0.0082 (2)0.00154 (14)0.00445 (16)0.00026 (14)
T1msi0.0107 (2)0.0082 (2)0.0076 (2)0.00302 (14)0.00417 (16)0.00010 (14)
T2osi0.0105 (2)0.00522 (19)0.0119 (2)0.00068 (14)0.00488 (17)0.00033 (14)
T2msi0.0096 (2)0.00616 (19)0.0102 (2)0.00052 (14)0.00400 (16)0.00100 (14)
T1oal0.0100 (2)0.0076 (2)0.0082 (2)0.00154 (14)0.00445 (16)0.00026 (14)
T1mal0.0107 (2)0.0082 (2)0.0076 (2)0.00302 (14)0.00417 (16)0.00010 (14)
T2oal0.0105 (2)0.00522 (19)0.0119 (2)0.00068 (14)0.00488 (17)0.00033 (14)
T2mal0.0096 (2)0.00616 (19)0.0102 (2)0.00052 (14)0.00400 (16)0.00100 (14)
Odm0.0180 (5)0.0150 (5)0.0168 (5)0.0032 (4)0.0008 (4)0.0036 (4)
Oa20.0142 (5)0.0082 (4)0.0114 (5)0.0001 (3)0.0053 (4)0.0010 (3)
Odo0.0163 (5)0.0119 (5)0.0123 (5)0.0006 (4)0.0005 (4)0.0000 (4)
Oa10.0269 (6)0.0180 (5)0.0105 (5)0.0022 (4)0.0109 (4)0.0017 (4)
Obm0.0172 (5)0.0166 (5)0.0354 (6)0.0006 (4)0.0153 (5)0.0042 (4)
Obo0.0181 (5)0.0109 (5)0.0238 (5)0.0014 (4)0.0124 (5)0.0019 (4)
Ocm0.0169 (5)0.0144 (5)0.0135 (5)0.0049 (4)0.0037 (4)0.0023 (4)
Oco0.0160 (5)0.0127 (5)0.0146 (5)0.0022 (4)0.0066 (4)0.0007 (4)
(11044.p3) top
Crystal data top
Ca0.68Na0.32Al1.68Si2.32O8γ = 90.2757 (14)°
Mr = 273.1V = 1336.04 (4) Å3
Triclinic, X1(αβγ)0†Z = 8
q = 0.031180a* + 0.062160b* + -0.134560c*F(000) = 1084
a = 8.1724 (2) ÅMo Kα radiation, λ = 0.71073 Å
b = 12.8652 (1) ŵ = 1.36 mm1
c = 14.1968 (2) ÅT = 100 K
α = 93.5256 (8)°0.09 × 0.07 × 0.06 mm
β = 116.1885 (13)°
† Symmetry operations: (1) x1, x2, x3, x4; (2) −x1, −x2, −x3, −x4; (3) x1+1/2, x2+1/2, x3, x4+1/2; (4) −x1+1/2, −x2+1/2, −x3, −x4+1/2; (5) x1, x2, x3+1/2, x4+1/2; (6) −x1, −x2, −x3+1/2, −x4+1/2; (7) x1+1/2, x2+1/2, x3+1/2, x4; (8) −x1+1/2, −x2+1/2, −x3+1/2, −x4.

Data collection top
Bruker CCD
diffractometer
Rint = 0.029
Radiation source: X-ray tubeθmax = 30.5°, θmin = 2.0°
Graphite monochromatorh = 1111
12177 measured reflectionsk = 1818
6115 independent reflectionsl = 2020
3085 reflections with I > 3σ(I)
Refinement top
Refinement on F20 restraints
R[F2 > 2σ(F2)] = 0.031151 constraints
wR(F2) = 0.081Weighting scheme based on measured s.u.'s w = 1/(σ2(I) + 0.0004I2)
S = 1.41(Δ/σ)max = 0.040
6115 reflectionsΔρmax = 0.55 e Å3
384 parametersΔρmin = 0.48 e Å3
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/UeqOcc. (<1)
M1na0.2673 (2)0.0113 (6)0.0817 (4)0.0325 (10)0.32
M1ca0.2673 (2)0.0113 (6)0.0817 (4)0.0325 (10)0.253 (8)
M2ca0.27072 (16)0.03175 (10)0.04610 (16)0.0156 (4)0.427 (8)
T1osi0.49416 (5)0.33699 (3)0.10723 (3)0.00919 (13)0.438
T1msi0.50287 (5)0.31702 (3)0.11574 (3)0.00940 (13)0.6317
T2osi0.68428 (5)0.10876 (3)0.15795 (3)0.00947 (13)0.6477
T2msi0.18053 (5)0.37887 (3)0.17855 (3)0.00919 (13)0.6026
T1oal0.49416 (5)0.33699 (3)0.10723 (3)0.00919 (13)0.562
T1mal0.50287 (5)0.31702 (3)0.11574 (3)0.00940 (13)0.3682
T2oal0.68428 (5)0.10876 (3)0.15795 (3)0.00947 (13)0.3523
T2mal0.18053 (5)0.37887 (3)0.17855 (3)0.00919 (13)0.3974
Odm0.69022 (14)0.36639 (8)0.21566 (8)0.0201 (4)
Oa20.57823 (13)0.00819 (7)0.13879 (7)0.0121 (3)
Odo0.30180 (14)0.39349 (7)0.30941 (8)0.0165 (4)
Oa10.49801 (15)0.37261 (8)0.01080 (7)0.0181 (4)
Obm0.31595 (14)0.35340 (8)0.12247 (9)0.0226 (4)
Obo0.81152 (14)0.10312 (7)0.09377 (8)0.0174 (4)
Ocm0.51294 (14)0.18777 (8)0.10571 (8)0.0166 (4)
Oco0.48672 (14)0.21003 (8)0.14051 (8)0.0155 (4)
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
M1na0.0100 (5)0.061 (2)0.0213 (15)0.0028 (7)0.0054 (5)0.0236 (17)
M1ca0.0100 (5)0.061 (2)0.0213 (15)0.0028 (7)0.0054 (5)0.0236 (17)
M2ca0.0122 (4)0.0188 (7)0.0129 (6)0.0035 (3)0.0033 (4)0.0031 (4)
T1osi0.00908 (18)0.01175 (18)0.00644 (17)0.00222 (14)0.00317 (14)0.00071 (13)
T1msi0.00948 (18)0.01182 (17)0.00642 (16)0.00310 (13)0.00315 (14)0.00003 (13)
T2osi0.00873 (18)0.00843 (16)0.00994 (17)0.00083 (13)0.00302 (14)0.00004 (13)
T2msi0.00856 (18)0.00909 (17)0.00894 (17)0.00017 (13)0.00288 (14)0.00160 (13)
T1oal0.00908 (18)0.01175 (18)0.00644 (17)0.00222 (14)0.00317 (14)0.00071 (13)
T1mal0.00948 (18)0.01182 (17)0.00642 (16)0.00310 (13)0.00315 (14)0.00003 (13)
T2oal0.00873 (18)0.00843 (16)0.00994 (17)0.00083 (13)0.00302 (14)0.00004 (13)
T2mal0.00856 (18)0.00909 (17)0.00894 (17)0.00017 (13)0.00288 (14)0.00160 (13)
Odm0.0149 (5)0.0176 (5)0.0165 (5)0.0024 (4)0.0026 (4)0.0037 (4)
Oa20.0126 (5)0.0118 (4)0.0108 (4)0.0001 (3)0.0042 (4)0.0009 (3)
Odo0.0159 (5)0.0150 (5)0.0119 (4)0.0017 (4)0.0000 (4)0.0011 (4)
Oa10.0251 (6)0.0215 (5)0.0102 (5)0.0015 (4)0.0100 (4)0.0022 (4)
Obm0.0163 (6)0.0182 (5)0.0368 (7)0.0002 (4)0.0158 (5)0.0043 (5)
Obo0.0173 (5)0.0132 (5)0.0246 (5)0.0020 (4)0.0124 (4)0.0019 (4)
Ocm0.0149 (5)0.0194 (5)0.0115 (5)0.0046 (4)0.0027 (4)0.0028 (4)
Oco0.0133 (5)0.0185 (5)0.0132 (5)0.0038 (4)0.0046 (4)0.0017 (4)
 

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