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. 2020 Apr 14;53(Pt 3):614–622. doi: 10.1107/S1600576720003143

Table 2. Refinement and structure parameters of the differently prepared LiNbO3 crystals.

‘obs’ and ‘all’ correspond to observed [Inline graphic] and all recorded reflections, Z is the formula unit, M the molar mass, ρX-ray the ‘ideal’ mass density, a and c the lattice parameters, Inline graphic the unit-cell volume, Inline graphic the extinction parameter (Petricek et al., 2014), x, y, z the fractional atomic coordinates, Inline graphic the equivalent displacement parameter (Petricek et al., 2014), and Inline graphic the residual ED. The refinement was based on F with the goodness-of-fit parameter Inline graphic and the quality-of-refinement values Inline graphic and Inline graphic × Inline graphic. Below, the results of the MEM-ED reconstruction and corresponding Bader charges are summarized. All the given errors correspond to 1σ.

Crystal LN1 LN2 LN3
Z 6 6 6
M (g mol−1) 147.84 147.84 147.84
ρX-ray (g cm−1) 4.62 4.62 4.62
Bravais lattice Rhombohedral (hexagonal setting)
Space group R3c (161) R3c (161) R3c (161)
a (Å) 5.1505 (1) 5.1513 (1) 5.1516 (1)
c (Å) 13.8683 (4) 13.8687 (6) 13.8690 (6)
V EZ3) 318.74 (1) 318.71 (2) 318.76 (2)
F 000 408 408 408
Extinction correction Isotropic, type 1, Lorentz (Petricek et al., 2014)
G iso 0.05 (1) 0.14 (2) 0.26 (1)
 
Extinction influence on reflection hkl (%)
102 5.8 9.2 18.9
006 1.3 4.0 7.8
2 Inline graphic 16 0.2 0.7 1.2
 
Li atom
x 0 0 0
y 0 0 0
z 0.2803 (4) 0.2804 (9) 0.2815 (4)
U eq2) 0.0087 (8) 0.0094 (15) 0.0082 (8)
 
Nb atom
x 0 0 0
y 0 0 0
z 0.000057 (4) 0.000045 (7) 0.000055 (3)
U eq2) 0.00497 (2) 0.00556 (4) 0.00493 (2)
 
O atom
x 0.0479 (1) 0.0480 (2) 0.0489 (1)
y 0.3429 (1) 0.3426 (2) 0.3438 (1)
z 0.06377 (8) 0.06390 (14) 0.06342 (8)
U eq2) 0.0072 (1) 0.0079 (2) 0.0073 (1)
 
ρres (e Å−3) 1.17/Inline graphic0.92 1.21/Inline graphic1.82 0.79/Inline graphic1.06
Inline graphic (obs/all) (%) 1.63/1.82 2.87/2.94 1.52/1.63
Inline graphic (obs/all) (%) 2.04/2.07 3.82/3.83 2.07/2.09
Inline graphic (obs/all) 1.62/1.54 3.18/3.09 1.69/1.65
 
MEM-ED reconstruction
Inline graphic (%) 1.71 2.74 1.59
Inline graphic (%) 2.04 3.60 2.03
 
Bader charges
Li (e) 0.9 0.7 0.7
Nb (e) 1.6 1.9 2.4
O (e) −0.7 −0.9 −1.0