Spinel materials for Li-ion batteries: new insights obtained by operando neutron and synchrotron X-ray diffraction

Bianchini, M.; Fauth, F.; Suard, E.; Leriche, J.-B.; Masquelier, C.; Croguennec, L.

doi:10.1107/S2052520615017199

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Spinel materials for Li-ion batteries: new insights obtained by operando neutron and synchrotron X-ray diffraction

M. Bianchini, F. Fauth, E. Suard, J.-B. Leriche, C. Masquelier and L. Croguennec

In the last few decades Li-ion batteries changed the way we store energy, becoming a key element of our everyday life. Their continuous improvement is tightly bound to the understanding of lithium (de)intercalation phenomena in electrode materials. Here we address the use of operando diffraction techniques to understand these mechanisms. We focus on powerful probes such as neutrons and synchrotron X-ray radiation, which have become increasingly familiar to the electrochemical community. After discussing the general benefits (and drawbacks) of these characterization techniques and the work of customization required to adapt standard electrochemical cells to an operando diffraction experiment, we highlight several very recent results. We concentrate on important electrode materials such as the spinels Li_1 + xMn_2 − xO₄ (0 ≤ x ≤ 0.10) and LiNi_0.4Mn_1.6O₄. Thorough investigations led by operando neutron powder diffraction demonstrated that neutrons are highly sensitive to structural parameters that cannot be captured by other means (for example, atomic Debye–Waller factors and lithium site occupancy). Synchrotron radiation X-ray powder diffraction reveals how LiMn₂O₄ is subject to irreversibility upon the first electrochemical cycle, resulting in severe Bragg peak broadening. Even more interestingly, we show for the first time an ordering scheme of the elusive composition Li_0.5Mn₂O₄, through the coexistence of Mn³⁺:Mn⁴⁺ 1:3 cation ordering and lithium/vacancy ordering. More accurately written as Li_0.5Mn³⁺_0.5Mn⁴⁺_1.5O₄, this intermediate phase loses the $Fd\overline 3m$ symmetry, to be correctly described in the P2₁3 space group.

Keywords: batteries; spinel; synchrotron X-ray diffraction; neutron diffraction; operando.

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Supporting information

	Crystallographic Information File (CIF) https://doi.org/10.1107/S2052520615017199/kc5017sup1.cif Contains datablocks global, I
	Rietveld powder data file (CIF format) https://doi.org/10.1107/S2052520615017199/kc5017Isup2.rtv Contains datablock I
	Text file https://doi.org/10.1107/S2052520615017199/kc5017sup3.txt XRD data for Li1/2Mn2O4

Computing details top

Program(s) used to refine structure: FULLPROF.

(I) top

Crystal data top

Li_0.5Mn₂O₄	a = 8.152889 (13) Å
M_r = 177.34	V = 541.92 (1) Å³
Cubic, P2₁3	Z = 8
Hall symbol: P 2ac 2ab 3	T = 293 K

Data collection top

Alba MSPD Beam Line diffractometer	2θ_min = 1.132°, 2θ_max = 50.110°, 2θ_step = 0.006°
Radiation source: Synchrotron

Refinement top

R_p = 4.698	8164 data points
R_wp = 8.007	16 parameters
R_exp = 1.171	0 restraints
R_Bragg = 8.057

Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å²) top

	x	y	z	U_iso*/U_eq
O1	0.387 (7)	0.387 (7)	0.387 (7)	0.02956*
O2	0.142 (9)	−0.135 (6)	0.136 (6)	0.02956*
O3	0.869 (6)	0.869 (6)	0.869 (6)	0.02956*
O4	0.104 (6)	0.119 (5)	0.396 (6)	0.02956*
Li1	0.01100	0.01100	0.01100	0.01267*
Mn1	0.626 (2)	0.626 (2)	0.626 (2)	0.03257*
Mn2	0.128 (2)	0.3798 (13)	−0.1274 (14)	0.03257*

Geometric parameters (Å, º) top

O1—O2ⁱ	2.90 (8)	O4—Li1ⁱ	3.44 (5)
O1—O2ⁱⁱ	2.90 (8)	O4—Mn1^xxi	2.01 (4)
O1—O2ⁱⁱⁱ	2.90 (8)	O4—Mn2^xxii	3.31 (5)
O1—O3^iv	2.89 (8)	O4—Mn2^xxxv	1.90 (5)
O1—O3^v	2.89 (8)	O4—Mn2^x	1.89 (5)
O1—O3^vi	2.89 (8)	Li1—O1^xxxvi	3.50 (6)
O1—O4	3.18 (7)	Li1—O1^xxii	3.50 (6)
O1—O4^vii	2.50 (8)	Li1—O1^xvii	3.50 (6)
O1—O4^viii	3.18 (8)	Li1—O2	1.90 (5)
O1—O4^ix	2.50 (7)	Li1—O2^viii	1.90 (6)
O1—O4^x	3.18 (7)	Li1—O2^x	1.90 (5)
O1—O4^xi	2.50 (7)	Li1—O3^xx	2.01 (5)
O1—Li1^xii	3.50 (6)	Li1—O4	3.35 (5)
O1—Li1^xiii	3.50 (6)	Li1—O4^xxii	3.42 (4)
O1—Li1ⁱ	3.50 (6)	Li1—O4^xvii	3.44 (5)
O1—Mn1	3.37 (6)	Li1—O4^viii	3.35 (4)
O1—Mn2^xiv	1.91 (6)	Li1—O4^xxxvii	3.42 (5)
O1—Mn2^xv	1.91 (6)	Li1—O4^xviii	3.44 (5)
O1—Mn2^xvi	1.91 (6)	Li1—O4^x	3.35 (5)
O2—O1^xvii	2.90 (8)	Li1—O4^xxxviii	3.42 (5)
O2—O2^viii	3.16 (8)	Li1—O4^xxxix	3.44 (4)
O2—O2^xviii	2.60 (7)	Li1—Mn1^xxi	3.299 (16)
O2—O2^x	3.16 (7)	Li1—Mn1^xl	3.299 (16)
O2—O2^xix	2.60 (8)	Li1—Mn1^xli	3.299 (16)
O2—O3^xx	3.11 (8)	Li1—Mn2	3.351 (11)
O2—O3^xxi	2.66 (8)	Li1—Mn2^xxxvi	3.380 (16)
O2—O4	2.98 (7)	Li1—Mn2^xlii	3.495 (12)
O2—O4^xxii	2.85 (7)	Li1—Mn2^viii	3.351 (15)
O2—O4^xvii	2.85 (8)	Li1—Mn2^xliii	3.380 (12)
O2—O4^xviii	3.01 (8)	Li1—Mn2^xliv	3.495 (11)
O2—O4^x	2.85 (7)	Li1—Mn2^x	3.351 (12)
O2—Li1	1.90 (5)	Li1—Mn2^xxiii	3.380 (11)
O2—Mn1^xxi	1.95 (5)	Li1—Mn2^xlv	3.495 (15)
O2—Mn2ⁱ	3.35 (6)	Mn1—O1	3.37 (6)
O2—Mn2^viii	1.94 (7)	Mn1—O2^vii	1.95 (5)
O2—Mn2^xxiii	1.94 (5)	Mn1—O2^ix	1.95 (5)
O3—O1^xxiv	2.89 (8)	Mn1—O2^xi	1.95 (7)
O3—O1^xxv	2.89 (8)	Mn1—O3	3.43 (5)
O3—O1^xxvi	2.89 (8)	Mn1—O4^vii	2.01 (4)
O3—O2^xxvii	3.11 (8)	Mn1—O4^ix	2.01 (5)
O3—O2^vii	2.66 (8)	Mn1—O4^xi	2.01 (5)
O3—O2^xxviii	3.11 (7)	Mn1—Li1^vii	3.299 (16)
O3—O2^ix	2.66 (8)	Mn1—Li1^xxxii	3.299 (16)
O3—O2^xxix	3.11 (8)	Mn1—Li1^xiv	3.299 (16)
O3—O2^xi	2.66 (7)	Mn1—Mn2^xxxii	2.88 (2)
O3—O4^xxv	2.81 (7)	Mn1—Mn2^xiv	2.93 (2)
O3—O4^xxx	2.81 (7)	Mn1—Mn2^xxxiii	2.88 (2)
O3—O4^xxxi	2.81 (7)	Mn1—Mn2^xv	2.93 (2)
O3—Li1^xxvii	2.01 (5)	Mn1—Mn2^xxxiv	2.88 (2)
O3—Mn1	3.43 (5)	Mn1—Mn2^xvi	2.93 (2)
O3—Mn2^xxxii	1.97 (5)	Mn2—O1^xli	1.91 (6)
O3—Mn2^xxxiii	1.97 (5)	Mn2—O2^xvii	3.35 (6)
O3—Mn2^xxxiv	1.97 (5)	Mn2—O2^xlvi	1.94 (7)
O4—O1	3.18 (7)	Mn2—O2^x	1.94 (5)
O4—O1^xxi	2.50 (8)	Mn2—O3^xl	1.97 (5)
O4—O2	2.98 (7)	Mn2—O4^xiii	3.31 (5)
O4—O2^xiii	2.85 (7)	Mn2—O4^viii	1.89 (5)
O4—O2ⁱ	2.85 (8)	Mn2—O4^xxxix	1.90 (5)
O4—O2^viii	2.85 (8)	Mn2—Li1	3.351 (11)
O4—O2^xix	3.01 (7)	Mn2—Li1^xii	3.380 (16)
O4—O3^v	2.81 (7)	Mn2—Li1^xlvii	3.495 (12)
O4—O4^viii	3.28 (6)	Mn2—Mn1^xl	2.88 (2)
O4—O4^xviii	2.57 (6)	Mn2—Mn1^xli	2.93 (2)
O4—O4^x	3.28 (7)	Mn2—Mn2^xliii	2.864 (16)
O4—O4^xix	2.57 (6)	Mn2—Mn2^xxxvii	2.861 (19)
O4—Li1	3.35 (5)	Mn2—Mn2^xlviii	2.861 (16)
O4—Li1^xiii	3.42 (4)	Mn2—Mn2ⁱⁱⁱ	2.86 (2)

O2ⁱ—O1—O2ⁱⁱ	120 (3)	O1^xxxvi—Li1—O2^viii	102 (3)
O2ⁱ—O1—O2ⁱⁱⁱ	120 (3)	O1^xxxvi—Li1—O2^x	56 (3)
O2ⁱ—O1—O3^iv	172 (3)	O1^xxxvi—Li1—O3^xx	56 (2)
O2ⁱ—O1—O3^v	55 (3)	O1^xxxvi—Li1—O4	151 (3)
O2ⁱ—O1—O3^vi	65 (3)	O1^xxxvi—Li1—O4^xxii	110 (2)
O2ⁱ—O1—O4	56 (2)	O1^xxxvi—Li1—O4^xvii	95 (2)
O2ⁱ—O1—O4^vii	63 (3)	O1^xxxvi—Li1—O4^viii	94 (2)
O2ⁱ—O1—O4^viii	118 (3)	O1^xxxvi—Li1—O4^xxxvii	54.7 (17)
O2ⁱ—O1—O4^ix	90 (3)	O1^xxxvi—Li1—O4^xviii	145 (3)
O2ⁱ—O1—O4^x	88 (3)	O1^xxxvi—Li1—O4^x	117 (2)
O2ⁱ—O1—O4^xi	125 (3)	O1^xxxvi—Li1—O4^xxxix	54.5 (16)
O2ⁱ—O1—Li1^xii	147 (2)	O1^xxxvi—Li1—Mn1^xxi	174 (2)
O2ⁱ—O1—Li1^xiii	88 (2)	O1^xxxvi—Li1—Mn1^xl	83.0 (16)
O2ⁱ—O1—Mn1	93 (2)	O1^xxxvi—Li1—Mn1^xli	87.3 (17)
O2ⁱ—O1—Mn2^xiv	138 (3)	O1^xxxvi—Li1—Mn2	63.7 (14)
O2ⁱ—O1—Mn2^xv	95 (3)	O1^xxxvi—Li1—Mn2^xxxvi	86.0 (16)
O2ⁱⁱ—O1—O2ⁱⁱⁱ	120 (4)	O1^xxxvi—Li1—Mn2^viii	127 (2)
O2ⁱⁱ—O1—O3^iv	55 (3)	O1^xxxvi—Li1—Mn2^xliv	79.8 (15)
O2ⁱⁱ—O1—O3^v	65 (3)	O1^xxxvi—Li1—Mn2^x	132 (2)
O2ⁱⁱ—O1—O3^vi	172 (4)	O1^xxxvi—Li1—Mn2^xxiii	123 (2)
O2ⁱⁱ—O1—O4	88 (3)	O1^xxxvi—Li1—Mn2^xlv	62.3 (14)
O2ⁱⁱ—O1—O4^vii	125 (4)	O1^xxii—Li1—O1^xvii	91 (2)
O2ⁱⁱ—O1—O4^viii	56 (2)	O1^xxii—Li1—O2	102 (4)
O2ⁱⁱ—O1—O4^ix	63 (3)	O1^xxii—Li1—O2^viii	56 (3)
O2ⁱⁱ—O1—O4^x	118 (3)	O1^xxii—Li1—O2^x	144 (4)
O2ⁱⁱ—O1—O4^xi	90 (4)	O1^xxii—Li1—O3^xx	56 (2)
O2ⁱⁱ—O1—Li1^xii	88 (2)	O1^xxii—Li1—O4	94 (2)
O2ⁱⁱ—O1—Li1ⁱ	147 (3)	O1^xxii—Li1—O4^xxii	54.7 (16)
O2ⁱⁱ—O1—Mn1	93 (3)	O1^xxii—Li1—O4^xvii	145 (3)
O2ⁱⁱ—O1—Mn2^xv	138 (4)	O1^xxii—Li1—O4^viii	117 (2)
O2ⁱⁱ—O1—Mn2^xvi	95 (3)	O1^xxii—Li1—O4^xviii	54.5 (17)
O2ⁱⁱⁱ—O1—O3^iv	65 (3)	O1^xxii—Li1—O4^x	151 (3)
O2ⁱⁱⁱ—O1—O3^v	172 (4)	O1^xxii—Li1—O4^xxxviii	110 (2)
O2ⁱⁱⁱ—O1—O3^vi	55 (3)	O1^xxii—Li1—O4^xxxix	95 (2)
O2ⁱⁱⁱ—O1—O4	118 (3)	O1^xxii—Li1—Mn1^xxi	87.3 (17)
O2ⁱⁱⁱ—O1—O4^vii	90 (3)	O1^xxii—Li1—Mn1^xl	174 (2)
O2ⁱⁱⁱ—O1—O4^viii	88 (3)	O1^xxii—Li1—Mn1^xli	83.0 (16)
O2ⁱⁱⁱ—O1—O4^ix	125 (4)	O1^xxii—Li1—Mn2	127 (2)
O2ⁱⁱⁱ—O1—O4^x	56 (3)	O1^xxii—Li1—Mn2^xlii	79.8 (16)
O2ⁱⁱⁱ—O1—O4^xi	63 (3)	O1^xxii—Li1—Mn2^viii	132 (2)
O2ⁱⁱⁱ—O1—Li1^xiii	147 (3)	O1^xxii—Li1—Mn2^xliii	123 (2)
O2ⁱⁱⁱ—O1—Li1ⁱ	88 (2)	O1^xxii—Li1—Mn2^xliv	62.3 (14)
O2ⁱⁱⁱ—O1—Mn1	93 (2)	O1^xxii—Li1—Mn2^x	63.7 (14)
O2ⁱⁱⁱ—O1—Mn2^xiv	95 (3)	O1^xxii—Li1—Mn2^xxiii	86.0 (16)
O2ⁱⁱⁱ—O1—Mn2^xvi	138 (4)	O1^xvii—Li1—O2	56 (3)
O3^iv—O1—O3^v	120 (3)	O1^xvii—Li1—O2^viii	144 (4)
O3^iv—O1—O3^vi	120 (3)	O1^xvii—Li1—O2^x	102 (3)
O3^iv—O1—O4	117 (3)	O1^xvii—Li1—O3^xx	56 (2)
O3^iv—O1—O4^vii	124 (3)	O1^xvii—Li1—O4	117 (2)
O3^iv—O1—O4^viii	55 (2)	O1^xvii—Li1—O4^xvii	54.5 (17)
O3^iv—O1—O4^ix	91 (3)	O1^xvii—Li1—O4^viii	151 (3)
O3^iv—O1—O4^x	90 (3)	O1^xvii—Li1—O4^xxxvii	110 (2)
O3^iv—O1—O4^xi	62 (3)	O1^xvii—Li1—O4^xviii	95 (2)
O3^iv—O1—Li1^xiii	86 (2)	O1^xvii—Li1—O4^x	94 (2)
O3^iv—O1—Li1ⁱ	149 (2)	O1^xvii—Li1—O4^xxxviii	54.7 (17)
O3^iv—O1—Mn1	93 (2)	O1^xvii—Li1—O4^xxxix	145 (3)
O3^iv—O1—Mn2^xv	93 (3)	O1^xvii—Li1—Mn1^xxi	83.0 (16)
O3^iv—O1—Mn2^xvi	140 (3)	O1^xvii—Li1—Mn1^xl	87.3 (17)
O3^v—O1—O3^vi	120 (3)	O1^xvii—Li1—Mn1^xli	174 (2)
O3^v—O1—O4	55 (2)	O1^xvii—Li1—Mn2	132 (2)
O3^v—O1—O4^vii	91 (3)	O1^xvii—Li1—Mn2^xxxvi	123 (2)
O3^v—O1—O4^viii	90 (3)	O1^xvii—Li1—Mn2^xlii	62.3 (14)
O3^v—O1—O4^ix	62 (3)	O1^xvii—Li1—Mn2^viii	63.7 (14)
O3^v—O1—O4^x	117 (3)	O1^xvii—Li1—Mn2^xliii	86.0 (16)
O3^v—O1—O4^xi	124 (3)	O1^xvii—Li1—Mn2^x	127 (2)
O3^v—O1—Li1^xii	149 (2)	O1^xvii—Li1—Mn2^xlv	79.8 (16)
O3^v—O1—Li1ⁱ	86 (2)	O2—Li1—O2^viii	113 (5)
O3^v—O1—Mn1	93 (2)	O2—Li1—O2^x	113 (4)
O3^v—O1—Mn2^xiv	93 (3)	O2—Li1—O3^xx	106 (4)
O3^v—O1—Mn2^xv	140 (3)	O2—Li1—O4	62 (3)
O3^vi—O1—O4	90 (3)	O2—Li1—O4^xxii	56 (3)
O3^vi—O1—O4^vii	62 (3)	O2—Li1—O4^xvii	56 (3)
O3^vi—O1—O4^viii	117 (3)	O2—Li1—O4^viii	109 (3)
O3^vi—O1—O4^ix	124 (3)	O2—Li1—O4^xxxvii	144 (4)
O3^vi—O1—O4^x	55 (2)	O2—Li1—O4^xviii	61 (3)
O3^vi—O1—O4^xi	91 (3)	O2—Li1—O4^x	58 (3)
O3^vi—O1—Li1^xii	86 (2)	O2—Li1—O4^xxxviii	102 (3)
O3^vi—O1—Li1^xiii	149 (2)	O2—Li1—O4^xxxix	153 (4)
O3^vi—O1—Mn1	93 (2)	O2—Li1—Mn1^xl	82 (3)
O3^vi—O1—Mn2^xiv	140 (3)	O2—Li1—Mn1^xli	127 (3)
O3^vi—O1—Mn2^xvi	93 (3)	O2—Li1—Mn2	126 (3)
O4—O1—O4^vii	119 (3)	O2—Li1—Mn2^xxxvi	122 (3)
O4—O1—O4^viii	62 (2)	O2—Li1—Mn2^xlii	118 (3)
O4—O1—O4^ix	117 (3)	O2—Li1—Mn2^xliii	122 (3)
O4—O1—O4^x	62 (2)	O2—Li1—Mn2^xliv	77 (3)
O4—O1—O4^xi	178 (3)	O2—Li1—Mn2^x	83 (3)
O4—O1—Li1^xii	113 (2)	O2—Li1—Mn2^xlv	118 (3)
O4—O1—Li1^xiii	61.3 (18)	O2^viii—Li1—O2^x	113 (5)
O4—O1—Li1ⁱ	61.9 (18)	O2^viii—Li1—O3^xx	106 (4)
O4—O1—Mn1	143 (2)	O2^viii—Li1—O4	58 (3)
O4—O1—Mn2^xiv	130 (3)	O2^viii—Li1—O4^xxii	102 (3)
O4—O1—Mn2^xv	133 (3)	O2^viii—Li1—O4^xvii	153 (4)
O4—O1—Mn2^xvi	84 (3)	O2^viii—Li1—O4^viii	62 (3)
O4^vii—O1—O4^viii	178 (4)	O2^viii—Li1—O4^xxxvii	56 (3)
O4^vii—O1—O4^ix	62 (3)	O2^viii—Li1—O4^xviii	56 (3)
O4^vii—O1—O4^x	117 (3)	O2^viii—Li1—O4^x	109 (4)
O4^vii—O1—O4^xi	62 (3)	O2^viii—Li1—O4^xxxviii	144 (4)
O4^vii—O1—Li1^xii	117 (3)	O2^viii—Li1—O4^xxxix	61 (3)
O4^vii—O1—Li1^xiii	120 (3)	O2^viii—Li1—Mn1^xxi	82 (3)
O4^vii—O1—Li1ⁱ	67 (2)	O2^viii—Li1—Mn1^xl	127 (4)
O4^vii—O1—Mn2^xiv	96 (3)	O2^viii—Li1—Mn2	83 (3)
O4^vii—O1—Mn2^xv	49 (3)	O2^viii—Li1—Mn2^xlii	118 (3)
O4^vii—O1—Mn2^xvi	49 (3)	O2^viii—Li1—Mn2^viii	126 (4)
O4^viii—O1—O4^ix	119 (3)	O2^viii—Li1—Mn2^xliii	122 (3)
O4^viii—O1—O4^x	62 (2)	O2^viii—Li1—Mn2^xliv	118 (3)
O4^viii—O1—O4^xi	117 (3)	O2^viii—Li1—Mn2^xxiii	122 (3)
O4^viii—O1—Li1^xii	61.3 (19)	O2^viii—Li1—Mn2^xlv	77 (3)
O4^viii—O1—Li1^xiii	61.9 (19)	O2^x—Li1—O3^xx	106 (4)
O4^viii—O1—Li1ⁱ	113 (2)	O2^x—Li1—O4	109 (3)
O4^viii—O1—Mn1	143 (2)	O2^x—Li1—O4^xxii	144 (4)
O4^viii—O1—Mn2^xiv	84 (3)	O2^x—Li1—O4^xvii	61 (3)
O4^viii—O1—Mn2^xv	130 (3)	O2^x—Li1—O4^viii	58 (3)
O4^viii—O1—Mn2^xvi	133 (3)	O2^x—Li1—O4^xxxvii	102 (4)
O4^ix—O1—O4^x	178 (3)	O2^x—Li1—O4^xviii	153 (4)
O4^ix—O1—O4^xi	62 (3)	O2^x—Li1—O4^x	62 (3)
O4^ix—O1—Li1^xii	120 (3)	O2^x—Li1—O4^xxxviii	56 (3)
O4^ix—O1—Li1^xiii	67 (2)	O2^x—Li1—O4^xxxix	56 (3)
O4^ix—O1—Li1ⁱ	117 (2)	O2^x—Li1—Mn1^xxi	127 (3)
O4^ix—O1—Mn2^xiv	49 (3)	O2^x—Li1—Mn1^xli	82 (3)
O4^ix—O1—Mn2^xv	96 (3)	O2^x—Li1—Mn2^xxxvi	122 (3)
O4^ix—O1—Mn2^xvi	49 (3)	O2^x—Li1—Mn2^xlii	77 (3)
O4^x—O1—O4^xi	119 (3)	O2^x—Li1—Mn2^viii	83 (3)
O4^x—O1—Li1^xii	61.9 (18)	O2^x—Li1—Mn2^xliv	118 (3)
O4^x—O1—Li1^xiii	113 (2)	O2^x—Li1—Mn2^x	126 (3)
O4^x—O1—Li1ⁱ	61.3 (18)	O2^x—Li1—Mn2^xxiii	122 (3)
O4^x—O1—Mn1	143 (2)	O2^x—Li1—Mn2^xlv	118 (3)
O4^x—O1—Mn2^xiv	133 (3)	O3^xx—Li1—O4	145 (3)
O4^x—O1—Mn2^xv	84 (3)	O3^xx—Li1—O4^xxii	55 (2)
O4^x—O1—Mn2^xvi	130 (3)	O3^xx—Li1—O4^xvii	101 (3)
O4^xi—O1—Li1^xii	67 (2)	O3^xx—Li1—O4^viii	145 (3)
O4^xi—O1—Li1^xiii	117 (3)	O3^xx—Li1—O4^xxxvii	55 (2)
O4^xi—O1—Li1ⁱ	120 (2)	O3^xx—Li1—O4^xviii	101 (3)
O4^xi—O1—Mn2^xiv	49 (3)	O3^xx—Li1—O4^x	145 (3)
O4^xi—O1—Mn2^xv	49 (3)	O3^xx—Li1—O4^xxxviii	55 (2)
O4^xi—O1—Mn2^xvi	96 (3)	O3^xx—Li1—O4^xxxix	101 (3)
Li1^xii—O1—Li1^xiii	114.8 (13)	O3^xx—Li1—Mn1^xxi	119 (3)
Li1^xii—O1—Li1ⁱ	114.8 (13)	O3^xx—Li1—Mn1^xl	119 (3)
Li1^xii—O1—Mn1	103.4 (14)	O3^xx—Li1—Mn1^xli	119 (3)
Li1^xii—O1—Mn2^xiv	74 (2)	O3^xx—Li1—Mn2	119 (2)
Li1^xii—O1—Mn2^xv	71 (2)	O3^xx—Li1—Mn2^xxxvi	77 (2)
Li1^xii—O1—Mn2^xvi	163 (2)	O3^xx—Li1—Mn2^viii	119 (2)
Li1^xiii—O1—Li1ⁱ	114.8 (13)	O3^xx—Li1—Mn2^xliii	77 (2)
Li1^xiii—O1—Mn1	103.4 (14)	O3^xx—Li1—Mn2^x	119 (2)
Li1^xiii—O1—Mn2^xiv	71 (2)	O3^xx—Li1—Mn2^xxiii	77 (2)
Li1^xiii—O1—Mn2^xv	163 (2)	O4—Li1—O4^xxii	95.7 (19)
Li1^xiii—O1—Mn2^xvi	74 (2)	O4—Li1—O4^xvii	97 (2)
Li1ⁱ—O1—Mn1	103.4 (14)	O4—Li1—O4^viii	58.8 (15)
Li1ⁱ—O1—Mn2^xiv	163 (2)	O4—Li1—O4^xxxvii	114 (2)
Li1ⁱ—O1—Mn2^xv	74 (2)	O4—Li1—O4^x	58.8 (17)
Li1ⁱ—O1—Mn2^xvi	71 (2)	O4—Li1—O4^xxxviii	154 (3)
Mn1—O1—Mn2^xiv	60 (2)	O4—Li1—O4^xxxix	96 (2)
Mn1—O1—Mn2^xv	60 (2)	O4—Li1—Mn1^xl	92.3 (16)
Mn1—O1—Mn2^xvi	60 (2)	O4—Li1—Mn1^xli	64.8 (13)
Mn2^xiv—O1—Mn2^xv	97 (3)	O4—Li1—Mn2	90.9 (15)
Mn2^xiv—O1—Mn2^xvi	97 (3)	O4—Li1—Mn2^xxxvi	82.9 (14)
Mn2^xv—O1—Mn2^xvi	97 (3)	O4—Li1—Mn2^xlii	173.4 (19)
O1^xvii—O2—O2^viii	117 (3)	O4—Li1—Mn2^viii	67.6 (13)
O1^xvii—O2—O2^xviii	89 (3)	O4—Li1—Mn2^xliii	137.1 (18)
O1^xvii—O2—O2^x	91 (3)	O4—Li1—Mn2^xliv	127.5 (17)
O1^xvii—O2—O2^xix	123 (4)	O4—Li1—Mn2^xxiii	86.1 (13)
O1^xvii—O2—O3^xx	57 (3)	O4—Li1—Mn2^xlv	125.1 (17)
O1^xvii—O2—O3^xxi	62 (3)	O4^xxii—Li1—O4^xvii	91.3 (19)
O1^xvii—O2—O4	170 (3)	O4^xxii—Li1—O4^viii	154 (2)
O1^xvii—O2—O4^xxii	52 (3)	O4^xxii—Li1—O4^xxxvii	90.7 (18)
O1^xvii—O2—O4^xvii	67 (3)	O4^xxii—Li1—O4^xviii	57.2 (15)
O1^xvii—O2—O4^xviii	120 (3)	O4^xxii—Li1—O4^x	114 (2)
O1^xvii—O2—O4^x	121 (3)	O4^xxii—Li1—O4^xxxviii	90.7 (19)
O1^xvii—O2—Li1	91 (3)	O4^xxii—Li1—O4^xxxix	148 (2)
O1^xvii—O2—Mn1^xxi	136 (3)	O4^xxii—Li1—Mn1^xxi	64.0 (12)
O1^xvii—O2—Mn2ⁱ	91 (2)	O4^xxii—Li1—Mn1^xl	126.0 (16)
O1^xvii—O2—Mn2^viii	94 (3)	O4^xxii—Li1—Mn1^xli	133.1 (16)
O2^viii—O2—O2^xviii	119 (3)	O4^xxii—Li1—Mn2	173.0 (16)
O2^viii—O2—O2^x	60 (3)	O4^xxii—Li1—Mn2^xxxvi	86.0 (13)
O2^viii—O2—O2^xix	120 (4)	O4^xxii—Li1—Mn2^xlii	79.8 (13)
O2^viii—O2—O3^xx	60 (3)	O4^xxii—Li1—Mn2^viii	82.4 (13)
O2^viii—O2—O3^xxi	179 (4)	O4^xxii—Li1—Mn2^xliii	122.7 (16)
O2^viii—O2—O4	55 (2)	O4^xxii—Li1—Mn2^x	88.6 (13)
O2^viii—O2—O4^xxii	90 (3)	O4^xxii—Li1—Mn2^xlv	61.2 (11)
O2^viii—O2—O4^xvii	120 (4)	O4^xvii—Li1—O4^viii	96.3 (19)
O2^viii—O2—O4^xviii	55 (2)	O4^xvii—Li1—O4^xxxvii	148 (2)
O2^viii—O2—O4^x	92 (3)	O4^xvii—Li1—O4^xviii	116 (2)
O2^viii—O2—Mn1^xxi	85 (3)	O4^xvii—Li1—O4^xxxviii	57.2 (16)
O2^viii—O2—Mn2ⁱ	144 (3)	O4^xvii—Li1—O4^xxxix	116 (2)
O2^viii—O2—Mn2^viii	134 (4)	O4^xvii—Li1—Mn1^xxi	83.2 (14)
O2^viii—O2—Mn2^xxiii	131 (3)	O4^xvii—Li1—Mn1^xli	131.5 (17)
O2^xviii—O2—O2^x	178 (3)	O4^xvii—Li1—Mn2	85.7 (13)
O2^xviii—O2—O2^xix	60 (3)	O4^xvii—Li1—Mn2^xxxvi	177.3 (19)
O2^xviii—O2—O3^xx	119 (3)	O4^xvii—Li1—Mn2^xlii	87.6 (14)
O2^xviii—O2—O3^xxi	61 (3)	O4^xvii—Li1—Mn2^xliii	66.1 (12)
O2^xviii—O2—O4	90 (3)	O4^xvii—Li1—Mn2^xliv	85.1 (14)
O2^xviii—O2—O4^xxii	63 (3)	O4^xvii—Li1—Mn2^x	129.7 (17)
O2^xviii—O2—O4^xvii	122 (3)	O4^xvii—Li1—Mn2^xxiii	62.1 (12)
O2^xviii—O2—O4^xviii	64 (3)	O4^xvii—Li1—Mn2^xlv	129.3 (18)
O2^xviii—O2—O4^x	122 (3)	O4^viii—Li1—O4^xxxvii	96 (2)
O2^xviii—O2—Li1	145 (3)	O4^viii—Li1—O4^xviii	97.5 (19)
O2^xviii—O2—Mn1^xxi	48 (2)	O4^viii—Li1—O4^x	58.8 (15)
O2^xviii—O2—Mn2^viii	94 (4)	O4^viii—Li1—O4^xxxviii	114 (2)
O2^xviii—O2—Mn2^xxiii	48 (2)	O4^viii—Li1—Mn1^xxi	92.3 (14)
O2^x—O2—O2^xix	122 (3)	O4^viii—Li1—Mn1^xl	64.8 (12)
O2^x—O2—O3^xx	60 (2)	O4^viii—Li1—Mn2^xxxvi	86.1 (14)
O2^x—O2—O3^xxi	121 (3)	O4^viii—Li1—Mn2^xlii	125.1 (16)
O2^x—O2—O4	90 (3)	O4^viii—Li1—Mn2^viii	90.9 (13)
O2^x—O2—O4^xxii	115 (3)	O4^viii—Li1—Mn2^xliii	82.9 (13)
O2^x—O2—O4^xvii	60 (3)	O4^viii—Li1—Mn2^xliv	173.4 (16)
O2^x—O2—O4^xviii	115 (3)	O4^viii—Li1—Mn2^x	67.6 (12)
O2^x—O2—O4^x	59 (3)	O4^viii—Li1—Mn2^xxiii	137.1 (15)
O2^x—O2—Mn1^xxi	132 (3)	O4^viii—Li1—Mn2^xlv	127.5 (16)
O2^x—O2—Mn2ⁱ	147 (2)	O4^xxxvii—Li1—O4^xviii	91 (2)
O2^x—O2—Mn2^viii	88 (3)	O4^xxxvii—Li1—O4^x	154 (3)
O2^x—O2—Mn2^xxiii	132 (3)	O4^xxxvii—Li1—O4^xxxviii	91 (2)
O2^xix—O2—O3^xx	179 (4)	O4^xxxvii—Li1—O4^xxxix	57.2 (15)
O2^xix—O2—O3^xxi	61 (3)	O4^xxxvii—Li1—Mn1^xxi	126.0 (18)
O2^xix—O2—O4	65 (3)	O4^xxxvii—Li1—Mn1^xl	133.1 (18)
O2^xix—O2—O4^xxii	123 (4)	O4^xxxvii—Li1—Mn1^xli	64.0 (12)
O2^xix—O2—O4^xvii	89 (3)	O4^xxxvii—Li1—Mn2	88.6 (14)
O2^xix—O2—O4^xviii	89 (4)	O4^xxxvii—Li1—Mn2^xlii	61.2 (12)
O2^xix—O2—O4^x	63 (3)	O4^xxxvii—Li1—Mn2^viii	173.0 (19)
O2^xix—O2—Li1	142 (4)	O4^xxxvii—Li1—Mn2^xliii	86.0 (14)
O2^xix—O2—Mn1^xxi	48 (3)	O4^xxxvii—Li1—Mn2^xliv	79.8 (13)
O2^xix—O2—Mn2^viii	48 (3)	O4^xxxvii—Li1—Mn2^x	82.4 (14)
O2^xix—O2—Mn2^xxiii	94 (3)	O4^xxxvii—Li1—Mn2^xxiii	122.7 (16)
O3^xx—O2—O3^xxi	120 (3)	O4^xviii—Li1—O4^x	96 (2)
O3^xx—O2—O4	115 (3)	O4^xviii—Li1—O4^xxxviii	148 (2)
O3^xx—O2—O4^xxii	56 (2)	O4^xviii—Li1—O4^xxxix	116 (2)
O3^xx—O2—O4^xvii	92 (3)	O4^xviii—Li1—Mn1^xl	131.5 (18)
O3^xx—O2—O4^xviii	89 (3)	O4^xviii—Li1—Mn1^xli	83.2 (13)
O3^xx—O2—O4^x	119 (3)	O4^xviii—Li1—Mn2	129.7 (17)
O3^xx—O2—Mn1^xxi	131 (3)	O4^xviii—Li1—Mn2^xxxvi	62.1 (12)
O3^xx—O2—Mn2ⁱ	144 (2)	O4^xviii—Li1—Mn2^xlii	129.3 (17)
O3^xx—O2—Mn2^viii	134 (3)	O4^xviii—Li1—Mn2^viii	85.7 (14)
O3^xx—O2—Mn2^xxiii	86 (3)	O4^xviii—Li1—Mn2^xliii	177.3 (19)
O3^xxi—O2—O4	125 (3)	O4^xviii—Li1—Mn2^xliv	87.6 (14)
O3^xxi—O2—O4^xxii	89 (3)	O4^xviii—Li1—Mn2^xxiii	66.1 (12)
O3^xxi—O2—O4^xvii	61 (3)	O4^xviii—Li1—Mn2^xlv	85.1 (14)
O3^xxi—O2—O4^xviii	124 (3)	O4^x—Li1—O4^xxxviii	96 (2)
O3^xxi—O2—O4^x	89 (3)	O4^x—Li1—O4^xxxix	97 (2)
O3^xxi—O2—Li1	146 (3)	O4^x—Li1—Mn1^xxi	64.8 (13)
O3^xxi—O2—Mn1^xxi	95 (3)	O4^x—Li1—Mn1^xli	92.3 (15)
O3^xxi—O2—Mn2^viii	48 (3)	O4^x—Li1—Mn2	67.6 (12)
O3^xxi—O2—Mn2^xxiii	48 (3)	O4^x—Li1—Mn2^xxxvi	137.1 (19)
O4—O2—O4^xxii	119 (3)	O4^x—Li1—Mn2^xlii	127.5 (17)
O4—O2—O4^xvii	122 (3)	O4^x—Li1—Mn2^xliii	86.1 (15)
O4—O2—O4^xviii	51 (2)	O4^x—Li1—Mn2^xliv	125.1 (17)
O4—O2—O4^x	69 (3)	O4^x—Li1—Mn2^x	90.9 (15)
O4—O2—Li1	84 (3)	O4^x—Li1—Mn2^xxiii	82.9 (13)
O4—O2—Mn2ⁱ	94 (2)	O4^x—Li1—Mn2^xlv	173.4 (19)
O4—O2—Mn2^viii	96 (3)	O4^xxxviii—Li1—O4^xxxix	91.3 (18)
O4—O2—Mn2^xxiii	137 (3)	O4^xxxviii—Li1—Mn1^xxi	133.1 (18)
O4^xxii—O2—O4^xvii	119 (3)	O4^xxxviii—Li1—Mn1^xl	64.0 (12)
O4^xxii—O2—O4^xviii	68 (3)	O4^xxxviii—Li1—Mn1^xli	126.0 (17)
O4^xxii—O2—O4^x	172 (3)	O4^xxxviii—Li1—Mn2	82.4 (13)
O4^xxii—O2—Li1	90 (3)	O4^xxxviii—Li1—Mn2^xxxvi	122.7 (17)
O4^xxii—O2—Mn1^xxi	94 (3)	O4^xxxviii—Li1—Mn2^viii	88.6 (15)
O4^xxii—O2—Mn2ⁱ	92 (2)	O4^xxxviii—Li1—Mn2^xliv	61.2 (12)
O4^xxii—O2—Mn2^viii	136 (4)	O4^xxxviii—Li1—Mn2^x	173.0 (19)
O4^xvii—O2—O4^xviii	172 (3)	O4^xxxviii—Li1—Mn2^xxiii	86.0 (14)
O4^xvii—O2—O4^x	54 (3)	O4^xxxviii—Li1—Mn2^xlv	79.8 (14)
O4^xvii—O2—Li1	91 (3)	O4^xxxix—Li1—Mn1^xxi	131.5 (17)
O4^xvii—O2—Mn1^xxi	137 (3)	O4^xxxix—Li1—Mn1^xl	83.2 (14)
O4^xvii—O2—Mn2ⁱ	91 (2)	O4^xxxix—Li1—Mn2^xxxvi	66.1 (12)
O4^xvii—O2—Mn2^xxiii	92 (3)	O4^xxxix—Li1—Mn2^xlii	85.1 (12)
O4^xviii—O2—O4^x	119 (3)	O4^xxxix—Li1—Mn2^viii	129.7 (16)
O4^xviii—O2—Li1	86 (3)	O4^xxxix—Li1—Mn2^xliii	62.1 (11)
O4^xviii—O2—Mn2ⁱ	92 (2)	O4^xxxix—Li1—Mn2^xliv	129.3 (15)
O4^xviii—O2—Mn2^viii	136 (4)	O4^xxxix—Li1—Mn2^x	85.7 (13)
O4^xviii—O2—Mn2^xxiii	95 (3)	O4^xxxix—Li1—Mn2^xxiii	177.3 (16)
O4^x—O2—Li1	87 (3)	O4^xxxix—Li1—Mn2^xlv	87.6 (13)
O4^x—O2—Mn1^xxi	94 (3)	Mn1^xxi—Li1—Mn1^xl	98.3 (7)
O4^x—O2—Mn2ⁱ	91 (2)	Mn1^xxi—Li1—Mn1^xli	98.3 (7)
O4^x—O2—Mn2^xxiii	136 (3)	Mn1^xxi—Li1—Mn2	121.7 (7)
Li1—O2—Mn1^xxi	119 (2)	Mn1^xxi—Li1—Mn2^xxxvi	95.7 (7)
Li1—O2—Mn2ⁱ	177 (2)	Mn1^xxi—Li1—Mn2^xlii	142.3 (7)
Li1—O2—Mn2^viii	121 (3)	Mn1^xxi—Li1—Mn2^viii	51.4 (5)
Li1—O2—Mn2^xxiii	124 (2)	Mn1^xxi—Li1—Mn2^xliii	148.0 (7)
Mn1^xxi—O2—Mn2ⁱ	58.9 (19)	Mn1^xxi—Li1—Mn2^xliv	94.3 (6)
Mn1^xxi—O2—Mn2^viii	95 (3)	Mn1^xxi—Li1—Mn2^x	52.2 (5)
Mn1^xxi—O2—Mn2^xxiii	96 (2)	Mn1^xxi—Li1—Mn2^xxiii	51.1 (4)
Mn2ⁱ—O2—Mn2^viii	58 (2)	Mn1^xxi—Li1—Mn2^xlv	114.8 (7)
Mn2ⁱ—O2—Mn2^xxiii	58.5 (19)	Mn1^xl—Li1—Mn1^xli	98.3 (7)
Mn2^viii—O2—Mn2^xxiii	95 (3)	Mn1^xl—Li1—Mn2	51.4 (5)
O1^xxiv—O3—O1^xxv	120 (3)	Mn1^xl—Li1—Mn2^xxxvi	148.0 (8)
O1^xxiv—O3—O1^xxvi	120 (3)	Mn1^xl—Li1—Mn2^xlii	94.3 (6)
O1^xxiv—O3—O2^xxvii	119 (3)	Mn1^xl—Li1—Mn2^viii	52.2 (5)
O1^xxiv—O3—O2^vii	121 (4)	Mn1^xl—Li1—Mn2^xliii	51.1 (5)
O1^xxiv—O3—O2^xxviii	92 (3)	Mn1^xl—Li1—Mn2^xliv	114.8 (7)
O1^xxiv—O3—O2^ix	63 (3)	Mn1^xl—Li1—Mn2^x	121.7 (7)
O1^xxiv—O3—O2^xxix	58 (3)	Mn1^xl—Li1—Mn2^xxiii	95.7 (6)
O1^xxiv—O3—O2^xi	88 (3)	Mn1^xl—Li1—Mn2^xlv	142.3 (8)
O1^xxiv—O3—O4^xxv	172 (4)	Mn1^xli—Li1—Mn2	52.2 (5)
O1^xxiv—O3—O4^xxx	68 (3)	Mn1^xli—Li1—Mn2^xxxvi	51.1 (5)
O1^xxiv—O3—O4^xxxi	52 (2)	Mn1^xli—Li1—Mn2^xlii	114.8 (7)
O1^xxiv—O3—Li1^xxvii	89 (3)	Mn1^xli—Li1—Mn2^viii	121.7 (7)
O1^xxiv—O3—Mn1	91 (2)	Mn1^xli—Li1—Mn2^xliii	95.7 (6)
O1^xxiv—O3—Mn2^xxxiii	134 (3)	Mn1^xli—Li1—Mn2^xliv	142.3 (7)
O1^xxiv—O3—Mn2^xxxiv	94 (3)	Mn1^xli—Li1—Mn2^x	51.4 (5)
O1^xxv—O3—O1^xxvi	120 (3)	Mn1^xli—Li1—Mn2^xxiii	148.0 (7)
O1^xxv—O3—O2^xxvii	92 (3)	Mn1^xli—Li1—Mn2^xlv	94.3 (6)
O1^xxv—O3—O2^vii	63 (3)	Mn2—Li1—Mn2^xxxvi	97.0 (6)
O1^xxv—O3—O2^xxviii	58 (3)	Mn2—Li1—Mn2^xlii	93.8 (5)
O1^xxv—O3—O2^ix	88 (3)	Mn2—Li1—Mn2^viii	98.2 (5)
O1^xxv—O3—O2^xxix	119 (4)	Mn2—Li1—Mn2^xliii	50.4 (4)
O1^xxv—O3—O2^xi	121 (4)	Mn2—Li1—Mn2^xliv	141.4 (6)
O1^xxv—O3—O4^xxv	68 (3)	Mn2—Li1—Mn2^x	98.2 (5)
O1^xxv—O3—O4^xxx	52 (2)	Mn2—Li1—Mn2^xxiii	146.8 (6)
O1^xxv—O3—O4^xxxi	172 (4)	Mn2—Li1—Mn2^xlv	116.3 (6)
O1^xxv—O3—Li1^xxvii	89 (3)	Mn2^xxxvi—Li1—Mn2^xlii	91.9 (5)
O1^xxv—O3—Mn1	91 (2)	Mn2^xxxvi—Li1—Mn2^viii	146.8 (8)
O1^xxv—O3—Mn2^xxxii	134 (3)	Mn2^xxxvi—Li1—Mn2^xliii	115.3 (7)
O1^xxv—O3—Mn2^xxxiii	94 (3)	Mn2^xxxvi—Li1—Mn2^xliv	92.5 (5)
O1^xxvi—O3—O2^xxvii	58 (3)	Mn2^xxxvi—Li1—Mn2^x	50.4 (4)
O1^xxvi—O3—O2^vii	88 (3)	Mn2^xxxvi—Li1—Mn2^xxiii	115.3 (6)
O1^xxvi—O3—O2^xxviii	119 (3)	Mn2^xxxvi—Li1—Mn2^xlv	49.1 (4)
O1^xxvi—O3—O2^ix	121 (4)	Mn2^xlii—Li1—Mn2^viii	116.3 (7)
O1^xxvi—O3—O2^xxix	92 (3)	Mn2^xlii—Li1—Mn2^xliii	49.1 (4)
O1^xxvi—O3—O2^xi	63 (3)	Mn2^xlii—Li1—Mn2^xliv	48.4 (3)
O1^xxvi—O3—O4^xxv	52 (2)	Mn2^xlii—Li1—Mn2^x	141.4 (6)
O1^xxvi—O3—O4^xxx	172 (4)	Mn2^xlii—Li1—Mn2^xxiii	92.5 (5)
O1^xxvi—O3—O4^xxxi	68 (3)	Mn2^xlii—Li1—Mn2^xlv	48.4 (4)
O1^xxvi—O3—Li1^xxvii	89 (3)	Mn2^viii—Li1—Mn2^xliii	97.0 (6)
O1^xxvi—O3—Mn1	91 (2)	Mn2^viii—Li1—Mn2^xliv	93.8 (6)
O1^xxvi—O3—Mn2^xxxii	94 (3)	Mn2^viii—Li1—Mn2^x	98.2 (6)
O1^xxvi—O3—Mn2^xxxiv	134 (3)	Mn2^viii—Li1—Mn2^xxiii	50.4 (4)
O2^xxvii—O3—O2^vii	120 (4)	Mn2^viii—Li1—Mn2^xlv	141.4 (8)
O2^xxvii—O3—O2^xxviii	61 (3)	Mn2^xliii—Li1—Mn2^xliv	91.9 (5)
O2^xxvii—O3—O2^ix	179 (4)	Mn2^xliii—Li1—Mn2^x	146.8 (6)
O2^xxvii—O3—O2^xxix	61 (2)	Mn2^xliii—Li1—Mn2^xxiii	115.3 (5)
O2^xxvii—O3—O2^xi	120 (3)	Mn2^xliii—Li1—Mn2^xlv	92.5 (6)
O2^xxvii—O3—O4^xxv	57 (2)	Mn2^xliv—Li1—Mn2^x	116.3 (5)
O2^xxvii—O3—O4^xxx	118 (3)	Mn2^xliv—Li1—Mn2^xxiii	49.1 (4)
O2^xxvii—O3—O4^xxxi	91 (3)	Mn2^xliv—Li1—Mn2^xlv	48.4 (4)
O2^xxvii—O3—Mn1	144 (3)	Mn2^x—Li1—Mn2^xxiii	97.0 (5)
O2^xxvii—O3—Mn2^xxxii	134 (3)	Mn2^x—Li1—Mn2^xlv	93.8 (5)
O2^xxvii—O3—Mn2^xxxiii	87 (3)	Mn2^xxiii—Li1—Mn2^xlv	91.9 (6)
O2^xxvii—O3—Mn2^xxxiv	133 (4)	O1—Mn1—O2^vii	129 (4)
O2^vii—O3—O2^xxviii	120 (3)	O1—Mn1—O2^ix	129 (4)
O2^vii—O3—O2^ix	59 (3)	O1—Mn1—O2^xi	129 (4)
O2^vii—O3—O2^xxix	179 (4)	O1—Mn1—O3	180 (3)
O2^vii—O3—O2^xi	59 (3)	O1—Mn1—O4^vii	47 (2)
O2^vii—O3—O4^xxv	63 (3)	O1—Mn1—O4^ix	47 (2)
O2^vii—O3—O4^xxx	89 (3)	O1—Mn1—O4^xi	47 (2)
O2^vii—O3—O4^xxxi	121 (4)	O1—Mn1—Li1^vii	99.1 (18)
O2^vii—O3—Li1^xxvii	146 (4)	O1—Mn1—Li1^xxxii	99.1 (18)
O2^vii—O3—Mn2^xxxii	91 (3)	O1—Mn1—Li1^xiv	99.1 (18)
O2^vii—O3—Mn2^xxxiii	47 (3)	O1—Mn1—Mn2^xxxii	145 (2)
O2^vii—O3—Mn2^xxxiv	47 (3)	O1—Mn1—Mn2^xxxiii	145 (2)
O2^xxviii—O3—O2^ix	120 (3)	O1—Mn1—Mn2^xxxiv	145 (2)
O2^xxviii—O3—O2^xxix	61 (3)	O2^vii—Mn1—O2^ix	84 (3)
O2^xxviii—O3—O2^xi	179 (3)	O2^vii—Mn1—O2^xi	84 (4)
O2^xxviii—O3—O4^xxv	91 (3)	O2^vii—Mn1—O3	51 (3)
O2^xxviii—O3—O4^xxx	57 (2)	O2^vii—Mn1—O4^vii	98 (4)
O2^xxviii—O3—O4^xxxi	118 (3)	O2^vii—Mn1—O4^ix	99 (4)
O2^xxviii—O3—Mn1	144 (2)	O2^vii—Mn1—O4^xi	177 (5)
O2^xxviii—O3—Mn2^xxxii	133 (3)	O2^vii—Mn1—Li1^xxxii	107 (3)
O2^xxviii—O3—Mn2^xxxiii	134 (3)	O2^vii—Mn1—Li1^xiv	106 (2)
O2^xxviii—O3—Mn2^xxxiv	87 (3)	O2^vii—Mn1—Mn2^xxxii	86 (3)
O2^ix—O3—O2^xxix	120 (4)	O2^vii—Mn1—Mn2^xiv	139 (3)
O2^ix—O3—O2^xi	59 (3)	O2^vii—Mn1—Mn2^xv	137 (3)
O2^ix—O3—O4^xxv	121 (3)	O2^vii—Mn1—Mn2^xvi	95 (3)
O2^ix—O3—O4^xxx	63 (3)	O2^ix—Mn1—O2^xi	84 (4)
O2^ix—O3—O4^xxxi	89 (3)	O2^ix—Mn1—O3	51 (3)
O2^ix—O3—Li1^xxvii	146 (4)	O2^ix—Mn1—O4^vii	177 (4)
O2^ix—O3—Mn2^xxxii	47 (3)	O2^ix—Mn1—O4^ix	98 (4)
O2^ix—O3—Mn2^xxxiii	91 (3)	O2^ix—Mn1—O4^xi	99 (4)
O2^ix—O3—Mn2^xxxiv	47 (3)	O2^ix—Mn1—Li1^vii	107 (2)
O2^xxix—O3—O2^xi	120 (3)	O2^ix—Mn1—Li1^xxxii	106 (3)
O2^xxix—O3—O4^xxv	118 (3)	O2^ix—Mn1—Mn2^xiv	95 (3)
O2^xxix—O3—O4^xxx	91 (3)	O2^ix—Mn1—Mn2^xxxiii	86 (3)
O2^xxix—O3—O4^xxxi	57 (2)	O2^ix—Mn1—Mn2^xv	139 (3)
O2^xxix—O3—Mn1	144 (3)	O2^ix—Mn1—Mn2^xvi	137 (3)
O2^xxix—O3—Mn2^xxxii	87 (3)	O2^xi—Mn1—O3	51 (3)
O2^xxix—O3—Mn2^xxxiii	133 (3)	O2^xi—Mn1—O4^vii	99 (4)
O2^xxix—O3—Mn2^xxxiv	134 (4)	O2^xi—Mn1—O4^ix	177 (6)
O2^xi—O3—O4^xxv	89 (3)	O2^xi—Mn1—O4^xi	98 (4)
O2^xi—O3—O4^xxx	121 (3)	O2^xi—Mn1—Li1^vii	106 (3)
O2^xi—O3—O4^xxxi	63 (3)	O2^xi—Mn1—Li1^xiv	107 (3)
O2^xi—O3—Li1^xxvii	146 (3)	O2^xi—Mn1—Mn2^xiv	137 (4)
O2^xi—O3—Mn2^xxxii	47 (2)	O2^xi—Mn1—Mn2^xv	95 (3)
O2^xi—O3—Mn2^xxxiii	47 (2)	O2^xi—Mn1—Mn2^xxxiv	86 (3)
O2^xi—O3—Mn2^xxxiv	91 (3)	O2^xi—Mn1—Mn2^xvi	139 (4)
O4^xxv—O3—O4^xxx	120 (3)	O3—Mn1—O4^vii	133 (3)
O4^xxv—O3—O4^xxxi	120 (3)	O3—Mn1—O4^ix	133 (3)
O4^xxv—O3—Li1^xxvii	89 (2)	O3—Mn1—O4^xi	133 (3)
O4^xxv—O3—Mn1	91 (2)	O3—Mn1—Li1^vii	80.9 (14)
O4^xxv—O3—Mn2^xxxii	136 (3)	O3—Mn1—Li1^xxxii	80.9 (14)
O4^xxv—O3—Mn2^xxxiv	93 (3)	O3—Mn1—Li1^xiv	80.9 (14)
O4^xxx—O3—O4^xxxi	120 (3)	O3—Mn1—Mn2^xiv	146 (2)
O4^xxx—O3—Li1^xxvii	89 (3)	O3—Mn1—Mn2^xv	146 (2)
O4^xxx—O3—Mn1	91 (2)	O3—Mn1—Mn2^xvi	146 (2)
O4^xxx—O3—Mn2^xxxii	93 (3)	O4^vii—Mn1—O4^ix	79 (3)
O4^xxx—O3—Mn2^xxxiii	136 (3)	O4^vii—Mn1—O4^xi	79 (3)
O4^xxxi—O3—Li1^xxvii	89 (3)	O4^vii—Mn1—Li1^vii	73.7 (19)
O4^xxxi—O3—Mn1	91 (2)	O4^vii—Mn1—Li1^xxxii	76.6 (19)
O4^xxxi—O3—Mn2^xxxiii	93 (3)	O4^vii—Mn1—Li1^xiv	147 (2)
O4^xxxi—O3—Mn2^xxxiv	136 (3)	O4^vii—Mn1—Mn2^xxxii	141 (2)
Li1^xxvii—O3—Mn1	180.0 (18)	O4^vii—Mn1—Mn2^xiv	82 (2)
Li1^xxvii—O3—Mn2^xxxii	123 (2)	O4^vii—Mn1—Mn2^xxxiii	97 (2)
Li1^xxvii—O3—Mn2^xxxiii	123 (2)	O4^vii—Mn1—Mn2^xxxiv	139 (2)
Li1^xxvii—O3—Mn2^xxxiv	123 (2)	O4^ix—Mn1—O4^xi	79 (3)
Mn1—O3—Mn2^xxxii	57.1 (18)	O4^ix—Mn1—Li1^vii	77 (2)
Mn1—O3—Mn2^xxxiii	57.1 (18)	O4^ix—Mn1—Li1^xxxii	147 (3)
Mn1—O3—Mn2^xxxiv	57.1 (18)	O4^ix—Mn1—Li1^xiv	73.7 (19)
Mn2^xxxii—O3—Mn2^xxxiii	93 (2)	O4^ix—Mn1—Mn2^xxxii	139 (3)
Mn2^xxxii—O3—Mn2^xxxiv	93 (2)	O4^ix—Mn1—Mn2^xxxiii	141 (3)
Mn2^xxxiii—O3—Mn2^xxxiv	93 (2)	O4^ix—Mn1—Mn2^xv	82 (2)
O1—O4—O1^xxi	123 (4)	O4^ix—Mn1—Mn2^xxxiv	97 (2)
O1—O4—O2	113 (3)	O4^xi—Mn1—Li1^vii	147 (3)
O1—O4—O2^xiii	91 (3)	O4^xi—Mn1—Li1^xxxii	74 (2)
O1—O4—O2ⁱ	57 (2)	O4^xi—Mn1—Li1^xiv	77 (2)
O1—O4—O2^viii	116 (4)	O4^xi—Mn1—Mn2^xxxii	97 (2)
O1—O4—O2^xix	88 (3)	O4^xi—Mn1—Mn2^xxxiii	139 (3)
O1—O4—O3^v	57 (2)	O4^xi—Mn1—Mn2^xxxiv	141 (3)
O1—O4—O4^viii	59 (2)	O4^xi—Mn1—Mn2^xvi	82 (2)
O1—O4—O4^xviii	178 (4)	Li1^vii—Mn1—Li1^xxxii	117.5 (4)
O1—O4—O4^x	59 (2)	Li1^vii—Mn1—Li1^xiv	117.5 (4)
O1—O4—O4^xix	120 (3)	Li1^vii—Mn1—Mn2^xxxii	115.9 (7)
O1—O4—Li1	109 (2)	Li1^vii—Mn1—Mn2^xiv	115.3 (6)
O1—O4—Li1^xiii	64.0 (18)	Li1^vii—Mn1—Mn2^xxxiii	65.2 (6)
O1—O4—Li1ⁱ	63.6 (19)	Li1^vii—Mn1—Mn2^xv	113.0 (6)
O1—O4—Mn1^xxi	128 (3)	Li1^vii—Mn1—Mn2^xxxiv	66.0 (5)
O1—O4—Mn2^xxii	146 (3)	Li1^vii—Mn1—Mn2^xvi	64.8 (6)
O1—O4—Mn2^xxxv	87 (3)	Li1^xxxii—Mn1—Li1^xiv	117.5 (4)
O1—O4—Mn2^x	134 (3)	Li1^xxxii—Mn1—Mn2^xxxii	65.2 (6)
O1^xxi—O4—O2	124 (4)	Li1^xxxii—Mn1—Mn2^xiv	113.0 (7)
O1^xxi—O4—O2^xiii	65 (3)	Li1^xxxii—Mn1—Mn2^xxxiii	66.0 (6)
O1^xxi—O4—O2ⁱ	92 (4)	Li1^xxxii—Mn1—Mn2^xv	64.8 (6)
O1^xxi—O4—O2^viii	92 (3)	Li1^xxxii—Mn1—Mn2^xxxiv	115.9 (6)
O1^xxi—O4—O2^xix	123 (4)	Li1^xxxii—Mn1—Mn2^xvi	115.3 (7)
O1^xxi—O4—O3^v	66 (3)	Li1^xiv—Mn1—Mn2^xxxii	66.0 (6)
O1^xxi—O4—O4^viii	124 (3)	Li1^xiv—Mn1—Mn2^xiv	64.8 (6)
O1^xxi—O4—O4^xviii	59 (3)	Li1^xiv—Mn1—Mn2^xxxiii	115.9 (7)
O1^xxi—O4—O4^x	176 (4)	Li1^xiv—Mn1—Mn2^xv	115.3 (6)
O1^xxi—O4—O4^xix	59 (3)	Li1^xiv—Mn1—Mn2^xxxiv	65.2 (5)
O1^xxi—O4—Li1	120 (3)	Li1^xiv—Mn1—Mn2^xvi	113.0 (6)
O1^xxi—O4—Li1^xiii	71 (2)	Mn2^xxxii—Mn1—Mn2^xiv	120.5 (9)
O1^xxi—O4—Li1ⁱ	116 (3)	Mn2^xxxii—Mn1—Mn2^xxxiii	59.6 (7)
O1^xxi—O4—Mn1^xxi	96 (3)	Mn2^xxxii—Mn1—Mn2^xv	121.4 (8)
O1^xxi—O4—Mn2^xxxv	49 (3)	Mn2^xxxii—Mn1—Mn2^xxxiv	59.6 (7)
O1^xxi—O4—Mn2^x	49 (3)	Mn2^xxxii—Mn1—Mn2^xvi	178.9 (10)
O2—O4—O2^xiii	120 (3)	Mn2^xiv—Mn1—Mn2^xxxiii	178.9 (10)
O2—O4—O2ⁱ	116 (3)	Mn2^xiv—Mn1—Mn2^xv	58.5 (7)
O2—O4—O2^viii	65 (3)	Mn2^xiv—Mn1—Mn2^xxxiv	121.4 (8)
O2—O4—O2^xix	52 (2)	Mn2^xiv—Mn1—Mn2^xvi	58.5 (7)
O2—O4—O3^v	169 (3)	Mn2^xxxiii—Mn1—Mn2^xv	120.5 (8)
O2—O4—O4^viii	88 (2)	Mn2^xxxiii—Mn1—Mn2^xxxiv	59.6 (7)
O2—O4—O4^xviii	65 (3)	Mn2^xxxiii—Mn1—Mn2^xvi	121.4 (9)
O2—O4—O4^x	54 (2)	Mn2^xv—Mn1—Mn2^xxxiv	178.9 (8)
O2—O4—O4^xix	91 (3)	Mn2^xv—Mn1—Mn2^xvi	58.5 (7)
O2—O4—Li1^xiii	147 (2)	Mn2^xxxiv—Mn1—Mn2^xvi	120.5 (8)
O2—O4—Li1ⁱ	84 (2)	O1^xli—Mn2—O2^xvii	132 (4)
O2—O4—Mn2^xxii	93 (2)	O1^xli—Mn2—O2^xlvi	98 (5)
O2—O4—Mn2^xxxv	137 (3)	O1^xli—Mn2—O2^x	178 (5)
O2—O4—Mn2^x	94 (3)	O1^xli—Mn2—O3^xl	96 (4)
O2^xiii—O4—O2ⁱ	123 (4)	O1^xli—Mn2—O4^xiii	49 (3)
O2^xiii—O4—O2^viii	54 (3)	O1^xli—Mn2—O4^viii	82 (4)
O2^xiii—O4—O2^xix	170 (4)	O1^xli—Mn2—O4^xxxix	82 (4)
O2^xiii—O4—O3^v	67 (3)	O1^xli—Mn2—Li1	149 (3)
O2^xiii—O4—O4^viii	58 (2)	O1^xli—Mn2—Li1^xii	77 (2)
O2^xiii—O4—O4^xviii	90 (3)	O1^xli—Mn2—Li1^xlvii	74 (2)
O2^xiii—O4—O4^x	118 (3)	O1^xli—Mn2—Mn1^xl	139 (3)
O2^xiii—O4—O4^xix	124 (3)	O1^xli—Mn2—Mn1^xli	86 (3)
O2^xiii—O4—Li1	87 (2)	O1^xli—Mn2—Mn2^xliii	139 (3)
O2^xiii—O4—Li1ⁱ	152 (3)	O1^xli—Mn2—Mn2ⁱⁱⁱ	96 (3)
O2^xiii—O4—Mn1^xxi	139 (3)	O2^xvii—Mn2—O2^xlvi	51 (3)
O2^xiii—O4—Mn2^xxii	94 (2)	O2^xvii—Mn2—O2^x	51 (3)
O2^xiii—O4—Mn2^xxxv	97 (3)	O2^xvii—Mn2—O3^xl	53 (3)
O2ⁱ—O4—O2^viii	174 (4)	O2^xvii—Mn2—O4^xiii	179 (3)
O2ⁱ—O4—O2^xix	65 (3)	O2^xvii—Mn2—O4^viii	130 (4)
O2ⁱ—O4—O3^v	56 (3)	O2^xvii—Mn2—O4^xxxix	128 (4)
O2ⁱ—O4—O4^viii	116 (3)	O2^xvii—Mn2—Li1	79.6 (17)
O2ⁱ—O4—O4^xviii	123 (4)	O2^xvii—Mn2—Li1^xii	78.4 (15)
O2ⁱ—O4—O4^x	87 (3)	O2^xvii—Mn2—Li1^xlvii	81.3 (17)
O2ⁱ—O4—O4^xix	63 (3)	O2^xvii—Mn2—Mn1^xli	143 (2)
O2ⁱ—O4—Li1	145 (3)	O2^xvii—Mn2—Mn2^xxxvii	145 (2)
O2ⁱ—O4—Li1^xiii	90 (2)	O2^xvii—Mn2—Mn2^xlviii	146 (2)
O2ⁱ—O4—Mn1^xxi	92 (3)	O2^xlvi—Mn2—O2^x	84 (4)
O2ⁱ—O4—Mn2^xxii	93 (3)	O2^xlvi—Mn2—O3^xl	86 (4)
O2ⁱ—O4—Mn2^x	140 (4)	O2^xlvi—Mn2—O4^xiii	130 (4)
O2^viii—O4—O2^xix	117 (4)	O2^xlvi—Mn2—O4^viii	96 (4)
O2^viii—O4—O3^v	121 (3)	O2^xlvi—Mn2—O4^xxxix	179 (6)
O2^viii—O4—O4^viii	58 (2)	O2^xlvi—Mn2—Li1	104 (3)
O2^viii—O4—O4^xviii	63 (3)	O2^xlvi—Mn2—Li1^xlvii	107 (3)
O2^viii—O4—O4^x	90 (3)	O2^xlvi—Mn2—Mn1^xli	138 (4)
O2^viii—O4—O4^xix	123 (3)	O2^xlvi—Mn2—Mn2^xliii	86 (3)
O2^viii—O4—Li1^xiii	86 (2)	O2^xlvi—Mn2—Mn2^xxxvii	139 (4)
O2^viii—O4—Li1ⁱ	147 (3)	O2^xlvi—Mn2—Mn2^xlviii	95 (3)
O2^viii—O4—Mn1^xxi	93 (3)	O2^x—Mn2—O3^xl	86 (3)
O2^viii—O4—Mn2^xxii	93 (2)	O2^x—Mn2—O4^xiii	129 (3)
O2^viii—O4—Mn2^xxxv	141 (3)	O2^x—Mn2—O4^viii	96 (4)
O2^xix—O4—O3^v	121 (3)	O2^x—Mn2—O4^xxxix	96 (4)
O2^xix—O4—O4^viii	113 (3)	O2^x—Mn2—Li1^xii	104 (3)
O2^xix—O4—O4^xviii	90 (3)	O2^x—Mn2—Li1^xlvii	107 (2)
O2^xix—O4—O4^x	53 (2)	O2^x—Mn2—Mn1^xli	92 (3)
O2^xix—O4—O4^xix	64 (3)	O2^x—Mn2—Mn2^xxxvii	137 (3)
O2^xix—O4—Li1	84 (2)	O2^x—Mn2—Mn2^xlviii	137 (3)
O2^xix—O4—Li1^xiii	151 (3)	O2^x—Mn2—Mn2ⁱⁱⁱ	86 (3)
O2^xix—O4—Mn2^xxii	92 (2)	O3^xl—Mn2—O4^xiii	127 (3)
O2^xix—O4—Mn2^xxxv	93 (3)	O3^xl—Mn2—O4^viii	178 (5)
O2^xix—O4—Mn2^x	136 (4)	O3^xl—Mn2—O4^xxxix	93 (4)
O3^v—O4—O4^viii	90 (3)	O3^xl—Mn2—Li1	107 (2)
O3^v—O4—O4^xviii	125 (3)	O3^xl—Mn2—Li1^xii	106 (2)
O3^v—O4—O4^x	116 (3)	O3^xl—Mn2—Mn1^xl	88 (2)
O3^v—O4—O4^xix	92 (3)	O3^xl—Mn2—Mn1^xli	136 (3)
O3^v—O4—Li1	148 (2)	O3^xl—Mn2—Mn2^xxxvii	92 (2)
O3^v—O4—Li1ⁱ	88 (2)	O3^xl—Mn2—Mn2^xlviii	137 (3)
O3^v—O4—Mn1^xxi	141 (3)	O4^xiii—Mn2—O4^viii	51 (2)
O3^v—O4—Mn2^xxii	95 (2)	O4^xiii—Mn2—O4^xxxix	51 (2)
O3^v—O4—Mn2^x	96 (3)	O4^xiii—Mn2—Li1	100.0 (14)
O4^viii—O4—O4^xviii	121 (3)	O4^xiii—Mn2—Li1^xii	102.3 (16)
O4^viii—O4—O4^x	60 (2)	O4^xiii—Mn2—Li1^xlvii	98.3 (15)
O4^viii—O4—O4^xix	177 (3)	O4^xiii—Mn2—Mn1^xl	145.0 (19)
O4^viii—O4—Li1	60.6 (16)	O4^xiii—Mn2—Mn2^xliii	143.8 (19)
O4^viii—O4—Li1^xiii	61.8 (16)	O4^xiii—Mn2—Mn2ⁱⁱⁱ	145 (2)
O4^viii—O4—Li1ⁱ	112.0 (19)	O4^viii—Mn2—O4^xxxix	85 (4)
O4^viii—O4—Mn1^xxi	128 (3)	O4^viii—Mn2—Li1	74 (2)
O4^viii—O4—Mn2^xxii	147 (2)	O4^viii—Mn2—Li1^xii	75 (2)
O4^viii—O4—Mn2^xxxv	134 (3)	O4^viii—Mn2—Li1^xlvii	149 (3)
O4^viii—O4—Mn2^x	88 (3)	O4^viii—Mn2—Mn1^xl	94 (2)
O4^xviii—O4—O4^x	119 (3)	O4^viii—Mn2—Mn2^xliii	138 (3)
O4^xviii—O4—O4^xix	60 (3)	O4^viii—Mn2—Mn2^xxxvii	86 (2)
O4^xviii—O4—Li1	70 (2)	O4^viii—Mn2—Mn2ⁱⁱⁱ	138 (3)
O4^xviii—O4—Li1^xiii	118 (2)	O4^xxxix—Mn2—Li1	76 (2)
O4^xviii—O4—Li1ⁱ	115 (2)	O4^xxxix—Mn2—Li1^xii	153 (3)
O4^xviii—O4—Mn1^xxi	50 (2)	O4^xxxix—Mn2—Li1^xlvii	72 (2)
O4^xviii—O4—Mn2^xxxv	94 (3)	O4^xxxix—Mn2—Mn1^xl	138 (3)
O4^xviii—O4—Mn2^x	47 (2)	O4^xxxix—Mn2—Mn2^xliii	93 (2)
O4^x—O4—O4^xix	117 (3)	O4^xxxix—Mn2—Mn2^xlviii	86 (2)
O4^x—O4—Li1	60.6 (17)	O4^xxxix—Mn2—Mn2ⁱⁱⁱ	136 (3)
O4^x—O4—Li1^xiii	112.7 (19)	Li1—Mn2—Li1^xii	113.9 (3)
O4^x—O4—Li1ⁱ	61.0 (17)	Li1—Mn2—Li1^xlvii	118.9 (3)
O4^x—O4—Mn1^xxi	81 (2)	Li1—Mn2—Mn1^xl	63.4 (6)
O4^x—O4—Mn2^xxii	142 (2)	Li1—Mn2—Mn1^xli	63.0 (6)
O4^x—O4—Mn2^xxxv	130 (3)	Li1—Mn2—Mn2^xliii	65.4 (4)
O4^x—O4—Mn2^x	133 (3)	Li1—Mn2—Mn2^xxxvii	115.6 (6)
O4^xix—O4—Li1	118 (2)	Li1—Mn2—Mn2^xlviii	113.4 (5)
O4^xix—O4—Li1^xiii	120 (2)	Li1—Mn2—Mn2ⁱⁱⁱ	114.8 (6)
O4^xix—O4—Li1ⁱ	65.8 (19)	Li1^xii—Mn2—Li1^xlvii	118.0 (3)
O4^xix—O4—Mn1^xxi	50 (2)	Li1^xii—Mn2—Mn1^xl	63.0 (6)
O4^xix—O4—Mn2^xxxv	47 (2)	Li1^xii—Mn2—Mn1^xli	117.4 (7)
O4^xix—O4—Mn2^x	94 (3)	Li1^xii—Mn2—Mn2^xliii	113.9 (6)
Li1—O4—Li1^xiii	113.1 (11)	Li1^xii—Mn2—Mn2^xxxvii	117.9 (7)
Li1—O4—Li1ⁱ	112.4 (12)	Li1^xii—Mn2—Mn2^xlviii	67.5 (5)
Li1—O4—Mn1^xxi	71.1 (16)	Li1^xii—Mn2—Mn2ⁱⁱⁱ	64.2 (5)
Li1—O4—Mn2^xxii	104.5 (12)	Li1^xlvii—Mn2—Mn1^xl	116.7 (7)
Li1—O4—Mn2^xxxv	163.8 (18)	Li1^xlvii—Mn2—Mn1^xli	114.0 (7)
Li1—O4—Mn2^x	73.7 (18)	Li1^xlvii—Mn2—Mn2^xliii	65.8 (4)
Li1^xiii—O4—Li1ⁱ	118.5 (11)	Li1^xlvii—Mn2—Mn2^xxxvii	63.4 (5)
Li1^xiii—O4—Mn1^xxi	166.5 (16)	Li1^xlvii—Mn2—Mn2^xlviii	114.5 (5)
Li1^xiii—O4—Mn2^xxii	105.5 (11)	Li1^xlvii—Mn2—Mn2ⁱⁱⁱ	65.8 (5)
Li1^xiii—O4—Mn2^xxxv	76.4 (17)	Mn1^xl—Mn2—Mn1^xli	118.6 (10)
Li1^xiii—O4—Mn2^x	72.9 (17)	Mn1^xl—Mn2—Mn2^xliii	60.2 (7)
Li1ⁱ—O4—Mn1^xxi	68.8 (16)	Mn1^xl—Mn2—Mn2^xxxvii	179.0 (10)
Li1ⁱ—O4—Mn2^xxii	100.6 (12)	Mn1^xl—Mn2—Mn2^xlviii	120.4 (9)
Li1ⁱ—O4—Mn2^xxxv	71.1 (18)	Mn1^xl—Mn2—Mn2ⁱⁱⁱ	60.2 (7)
Li1ⁱ—O4—Mn2^x	160.0 (19)	Mn1^xli—Mn2—Mn2^xliii	117.6 (9)
Mn1^xxi—O4—Mn2^xxii	61.1 (16)	Mn1^xli—Mn2—Mn2^xxxvii	60.8 (7)
Mn1^xxi—O4—Mn2^xxxv	97 (2)	Mn1^xli—Mn2—Mn2^xlviii	60.8 (7)
Mn1^xxi—O4—Mn2^x	97 (2)	Mn1^xli—Mn2—Mn2ⁱⁱⁱ	177.6 (10)
Mn2^xxii—O4—Mn2^xxxv	59.5 (18)	Mn2^xliii—Mn2—Mn2^xxxvii	119.4 (8)
Mn2^xxii—O4—Mn2^x	59.5 (18)	Mn2^xliii—Mn2—Mn2^xlviii	178.4 (8)
Mn2^xxxv—O4—Mn2^x	98 (2)	Mn2^xliii—Mn2—Mn2ⁱⁱⁱ	60.0 (6)
O1^xxxvi—Li1—O1^xxii	91 (2)	Mn2^xxxvii—Mn2—Mn2^xlviii	60.0 (6)
O1^xxxvi—Li1—O1^xvii	91 (2)	Mn2^xxxvii—Mn2—Mn2ⁱⁱⁱ	120.5 (9)
O1^xxxvi—Li1—O2	144 (4)	Mn2^xlviii—Mn2—Mn2ⁱⁱⁱ	121.6 (8)

Symmetry codes: (i) −x+1/2, −y, z+1/2; (ii) −y, z+1/2, −x+1/2; (iii) z+1/2, −x+1/2, −y; (iv) x−1/2, −y+3/2, −z+1; (v) −x+1, y−1/2, −z+3/2; (vi) −x+3/2, −y+1, z−1/2; (vii) x+1/2, −y+1/2, −z+1; (viii) y, z, x; (ix) −y+1/2, −z+1, x+1/2; (x) z, x, y; (xi) −z+1, x+1/2, −y+1/2; (xii) x+1/2, −y+1/2, −z; (xiii) −x, y+1/2, −z+1/2; (xiv) −x+1/2, −y+1, z+1/2; (xv) −y+1, z+1/2, −x+1/2; (xvi) z+1/2, −x+1/2, −y+1; (xvii) −x+1/2, −y, z−1/2; (xviii) −y, z−1/2, −x+1/2; (xix) −z+1/2, −x, y+1/2; (xx) x−1, y−1, z−1; (xxi) x−1/2, −y+1/2, −z+1; (xxii) −x, y−1/2, −z+1/2; (xxiii) −z, x−1/2, −y+1/2; (xxiv) x+1/2, −y+3/2, −z+1; (xxv) −x+1, y+1/2, −z+3/2; (xxvi) −x+3/2, −y+1, z+1/2; (xxvii) x+1, y+1, z+1; (xxviii) y+1, z+1, x+1; (xxix) z+1, x+1, y+1; (xxx) y+1/2, −z+3/2, −x+1; (xxxi) −z+3/2, −x+1, y+1/2; (xxxii) −x+1, y+1/2, −z+1/2; (xxxiii) y+1/2, −z+1/2, −x+1; (xxxiv) −z+1/2, −x+1, y+1/2; (xxxv) −y+1/2, −z, x+1/2; (xxxvi) x−1/2, −y+1/2, −z; (xxxvii) y−1/2, −z+1/2, −x; (xxxviii) −z+1/2, −x, y−1/2; (xxxix) z−1/2, −x+1/2, −y; (xl) −x+1, y−1/2, −z+1/2; (xli) −x+1/2, −y+1, z−1/2; (xlii) −x, y−1/2, −z−1/2; (xliii) −y+1/2, −z, x−1/2; (xliv) y−1/2, −z−1/2, −x; (xlv) −z−1/2, −x, y−1/2; (xlvi) y+1/2, −z+1/2, −x; (xlvii) −x, y+1/2, −z−1/2; (xlviii) −z, x+1/2, −y+1/2.

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