Rietveld refinement using neutron powder diffraction data is reported for the potential lead-free piezoelectric material KxNa1 - xNbO3 (x = 0.05, x = 0.3) at low temperatures. The structures were determined to be of rhombohedral symmetry, space group R3c, with the tilt system a-a-a- for both compositions. It was found that some of the structural parameters differ significantly in the two structures, and particularly the NbO6 octahedral strains as a function of temperature. The 300 K profile for K0.05Na0.95NbO3 shows the coexistence of rhombohedral and monoclinic phases, which indicates that the phase boundary is close to room temperature; the phase boundary for K0.30Na0.70NbO3 is found to be at approximately 180 K.
Supporting information
| Crystallographic Information File (CIF) https://doi.org/10.1107/S0108768109011057/wf5039sup1.cif Contains datablocks KNN05at50K, KNN05at100K, KNN05at150K, KNN05at200K, KNN05at250K, KNN30at100K, KNN30at120K, KNN30at140K, KNN30at160K, KNN30at180K, KNN05at300K1, KNN05at300K2, KNN30at200K |
| Rietveld powder data file (CIF format) https://doi.org/10.1107/S0108768109011057/wf5039KNN05at50Ksup2.rtv Contains datablock KNN05at50K |
| Rietveld powder data file (CIF format) https://doi.org/10.1107/S0108768109011057/wf5039KNN05at100Ksup3.rtv Contains datablock KNN05at100K |
| Rietveld powder data file (CIF format) https://doi.org/10.1107/S0108768109011057/wf5039KNN05at150Ksup4.rtv Contains datablock KNN05at150K |
| Rietveld powder data file (CIF format) https://doi.org/10.1107/S0108768109011057/wf5039KNN05at200Ksup5.rtv Contains datablock KNN05at200K |
| Rietveld powder data file (CIF format) https://doi.org/10.1107/S0108768109011057/wf5039KNN05at250Ksup6.rtv Contains datablock KNN05at250K |
| Rietveld powder data file (CIF format) https://doi.org/10.1107/S0108768109011057/wf5039KNN30at100Ksup7.rtv Contains datablock KNN30at100K |
| Rietveld powder data file (CIF format) https://doi.org/10.1107/S0108768109011057/wf5039KNN30at120Ksup8.rtv Contains datablock KNN30at120K |
| Rietveld powder data file (CIF format) https://doi.org/10.1107/S0108768109011057/wf5039KNN30at140Ksup9.rtv Contains datablock KNN30at140K |
| Rietveld powder data file (CIF format) https://doi.org/10.1107/S0108768109011057/wf5039KNN30at160Ksup10.rtv Contains datablock KNN30at160K |
| Rietveld powder data file (CIF format) https://doi.org/10.1107/S0108768109011057/wf5039KNN30at180Ksup11.rtv Contains datablock KNN30at180K |
| Rietveld powder data file (CIF format) https://doi.org/10.1107/S0108768109011057/wf5039KNN30at200Ksup12.rtv Contains datablock KNN30at200K |
| Rietveld powder data file (CIF format) https://doi.org/10.1107/S0108768109011057/wf5039KNN05at300Ksup13.rtv Contains datablock KNN05at300K |
For all compounds, program(s) used to refine structure: TOPAS Academic.
(KNN05at50K) Sodium Potassium Niobate
top
Crystal data top
K0.05Na0.95NbO3 | Z = 6 |
Mr = 164.71 | Neutron radiation, λ = 1.60 Å |
Trigonal, R3c | T = 50 K |
a = 5.51848 (4) Å | white |
c = 13.78476 (15) Å | cylinder, 20 × 50 mm |
V = 363.55 (1) Å3 | |
Data collection top
D2B diffractometer | Data collection mode: reflection |
Ge [115] monochromator | Scan method: step |
Specimen mounting: Vanadium can packed with powder | 2θmin = 0.10°, 2θmax = 160°, 2θstep = 0.05° |
Refinement top
Rp = 0.050 | 2601 data points |
Rwp = 0.066 | Excluded region(s): 145-160° 2θ |
Rexp = 0.017 | 24 parameters |
χ2 = 3.842 | |
Crystal data top
K0.05Na0.95NbO3 | V = 363.55 (1) Å3 |
Mr = 164.71 | Z = 6 |
Trigonal, R3c | Neutron radiation, λ = 1.60 Å |
a = 5.51848 (4) Å | T = 50 K |
c = 13.78476 (15) Å | cylinder, 20 × 50 mm |
Data collection top
D2B diffractometer | Scan method: step |
Specimen mounting: Vanadium can packed with powder | 2θmin = 0.10°, 2θmax = 160°, 2θstep = 0.05° |
Data collection mode: reflection | |
Refinement top
Rp = 0.050 | χ2 = 3.842 |
Rwp = 0.066 | 2601 data points |
Rexp = 0.017 | 24 parameters |
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top | x | y | z | Biso*/Beq | Occ. (<1) |
Na1 | 0 | 0 | 0.27285 (17) | 0.08 (3) | 0.95 |
K1 | 0 | 0 | 0.27285 (17) | 0.08 (3) | 0.05 |
Nb1 | 0 | 0 | 0.01599 (10) | −0.134 (19) | |
O1 | 0.10555 (19) | 0.3366 (3) | 0.08333 | 0.079 (15) | |
(KNN05at100K) Sodium Potassium Niobate
top
Crystal data top
K0.05Na0.95NbO3 | Z = 6 |
Mr = 164.71 | Neutron radiation, λ = 1.60 Å |
Trigonal, R3c | T = 100 K |
a = 5.51972 (5) Å | white |
c = 13.78350 (16) Å | cylinder, 20 × 50 mm |
V = 363.68 (1) Å3 | |
Data collection top
D2B diffractometer | Data collection mode: reflection |
Ge [115] monochromator | Scan method: step |
Specimen mounting: Vanadium can packed with powder | 2θmin = 0.10°, 2θmax = 160°, 2θstep = 0.05° |
Refinement top
Rp = 0.050 | 2601 data points |
Rwp = 0.067 | Excluded region(s): 145-160° 2θ |
Rexp = 0.018 | 24 parameters |
χ2 = 3.497 | |
Crystal data top
K0.05Na0.95NbO3 | V = 363.68 (1) Å3 |
Mr = 164.71 | Z = 6 |
Trigonal, R3c | Neutron radiation, λ = 1.60 Å |
a = 5.51972 (5) Å | T = 100 K |
c = 13.78350 (16) Å | cylinder, 20 × 50 mm |
Data collection top
D2B diffractometer | Scan method: step |
Specimen mounting: Vanadium can packed with powder | 2θmin = 0.10°, 2θmax = 160°, 2θstep = 0.05° |
Data collection mode: reflection | |
Refinement top
Rp = 0.050 | χ2 = 3.497 |
Rwp = 0.067 | 2601 data points |
Rexp = 0.018 | 24 parameters |
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top | x | y | z | Biso*/Beq | Occ. (<1) |
Na1 | 0 | 0 | 0.27240 (19) | 0.16 (4) | 0.95 |
K1 | 0 | 0 | 0.27240 (19) | 0.16 (4) | 0.05 |
Nb1 | 0 | 0 | 0.01596 (10) | −0.113 (19) | |
O1 | 0.1061 (2) | 0.3369 (3) | 0.08333 | 0.110 (16) | |
(KNN05at150K) Sodium Potassium Niobate
top
Crystal data top
K0.05Na0.95NbO3 | Z = 6 |
Mr = 164.71 | Neutron radiation, λ = 1.60 Å |
Trigonal, R3c | T = 150 K |
a = 5.52229 (5) Å | white |
c = 13.78243 (16) Å | cylinder, 20 × 50 mm |
V = 363.99 (1) Å3 | |
Data collection top
D2B diffractometer | Data collection mode: reflection |
Ge [115] monochromator | Scan method: step |
Specimen mounting: Vanadium can packed with powder | 2θmin = 0.10°, 2θmax = 160°, 2θstep = 0.05° |
Refinement top
Rp = 0.053 | 2601 data points |
Rwp = 0.070 | Excluded region(s): 145-160° 2θ |
Rexp = 0.019 | 24 parameters |
χ2 = 3.610 | |
Crystal data top
K0.05Na0.95NbO3 | V = 363.99 (1) Å3 |
Mr = 164.71 | Z = 6 |
Trigonal, R3c | Neutron radiation, λ = 1.60 Å |
a = 5.52229 (5) Å | T = 150 K |
c = 13.78243 (16) Å | cylinder, 20 × 50 mm |
Data collection top
D2B diffractometer | Scan method: step |
Specimen mounting: Vanadium can packed with powder | 2θmin = 0.10°, 2θmax = 160°, 2θstep = 0.05° |
Data collection mode: reflection | |
Refinement top
Rp = 0.053 | χ2 = 3.610 |
Rwp = 0.070 | 2601 data points |
Rexp = 0.019 | 24 parameters |
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top | x | y | z | Biso*/Beq | Occ. (<1) |
Na1 | 0 | 0 | 0.2714 (2) | 0.14 (4) | 0.95 |
K1 | 0 | 0 | 0.2714 (2) | 0.14 (4) | 0.05 |
Nb1 | 0 | 0 | 0.01561 (11) | −0.091 (19) | |
O1 | 0.1067 (2) | 0.3365 (4) | 0.08333 | 0.040 (15) | |
(KNN05at200K) Sodium Potassium Niobate
top
Crystal data top
K0.05Na0.95NbO3 | Z = 6 |
Mr = 164.71 | Neutron radiation, λ = 1.60 Å |
Trigonal, R3c | T = 200 K |
a = 5.52539 (5) Å | white |
c = 13.78058 (17) Å | cylinder, 20 × 50 mm |
V = 364.35 (1) Å3 | |
Data collection top
D2B diffractometer | Data collection mode: reflection |
Ge [115] monochromator | Scan method: step |
Specimen mounting: Vanadium can packed with powder | 2θmin = 0.10°, 2θmax = 160°, 2θstep = 0.05° |
Refinement top
Rp = 0.053 | 2601 data points |
Rwp = 0.069 | Excluded region(s): 145-160° 2θ |
Rexp = 0.019 | 24 parameters |
χ2 = 3.610 | |
Crystal data top
K0.05Na0.95NbO3 | V = 364.35 (1) Å3 |
Mr = 164.71 | Z = 6 |
Trigonal, R3c | Neutron radiation, λ = 1.60 Å |
a = 5.52539 (5) Å | T = 200 K |
c = 13.78058 (17) Å | cylinder, 20 × 50 mm |
Data collection top
D2B diffractometer | Scan method: step |
Specimen mounting: Vanadium can packed with powder | 2θmin = 0.10°, 2θmax = 160°, 2θstep = 0.05° |
Data collection mode: reflection | |
Refinement top
Rp = 0.053 | χ2 = 3.610 |
Rwp = 0.069 | 2601 data points |
Rexp = 0.019 | 24 parameters |
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top | x | y | z | Biso*/Beq | Occ. (<1) |
Na1 | 0 | 0 | 0.2707 (2) | 0.22 (4) | 0.95 |
K1 | 0 | 0 | 0.2707 (2) | 0.22 (4) | 0.05 |
Nb1 | 0 | 0 | 0.01538 (11) | −0.07 (2) | |
O1 | 0.1079 (2) | 0.3367 (4) | 0.08333 | 0.063 (15) | |
(KNN05at250K) Sodium Potassium Niobate
top
Crystal data top
K0.05Na0.95NbO3 | Z = 6 |
Mr = 164.71 | Neutron radiation, λ = 1.60 Å |
Trigonal, R3c | T = 250 K |
a = 5.52922 (5) Å | white |
c = 13.77931 (17) Å | cylinder, 20 × 50 mm |
V = 364.83 (1) Å3 | |
Data collection top
D2B diffractometer | Data collection mode: reflection |
Ge [115] monochromator | Scan method: step |
Specimen mounting: Vanadium can packed with powder | 2θmin = 0.10°, 2θmax = 160°, 2θstep = 0.05° |
Refinement top
Rp = 0.050 | 2601 data points |
Rwp = 0.067 | Excluded region(s): 145-160° 2θ |
Rexp = ? | 24 parameters |
RBragg = 0.019 | |
χ2 = 3.648 | |
Crystal data top
K0.05Na0.95NbO3 | V = 364.83 (1) Å3 |
Mr = 164.71 | Z = 6 |
Trigonal, R3c | Neutron radiation, λ = 1.60 Å |
a = 5.52922 (5) Å | T = 250 K |
c = 13.77931 (17) Å | cylinder, 20 × 50 mm |
Data collection top
D2B diffractometer | Scan method: step |
Specimen mounting: Vanadium can packed with powder | 2θmin = 0.10°, 2θmax = 160°, 2θstep = 0.05° |
Data collection mode: reflection | |
Refinement top
Rp = 0.050 | χ2 = 3.648 |
Rwp = 0.067 | 2601 data points |
Rexp = ? | 24 parameters |
RBragg = 0.019 | |
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top | x | y | z | Biso*/Beq | Occ. (<1) |
Na1 | 0 | 0 | 0.2697 (2) | 0.40 (4) | 0.95 |
K1 | 0 | 0 | 0.2697 (2) | 0.40 (4) | 0.05 |
Nb1 | 0 | 0 | 0.01518 (11) | −0.06 (2) | |
O1 | 0.1092 (2) | 0.3370 (4) | 0.08333 | 0.151 (15) | |
(KNN30at100K) Sodium Potassium Niobate
top
Crystal data top
K0.30Na0.70NbO3 | Z = 6 |
Mr = 168.73 | Neutron radiation, λ = 1.60 Å |
Trigonal, R3c | T = 100 K |
a = 5.59214 (6) Å | white |
c = 13.8430 (2) Å | cylinder, 20 × 50 mm |
V = 374.90 (1) Å3 | |
Data collection top
D2B diffractometer | Data collection mode: reflection |
Ge [115] monochromator | Scan method: step |
Specimen mounting: Vanadium can packed with powder | 2θmin = 0.10°, 2θmax = 160°, 2θstep = 0.05° |
Refinement top
Rp = 0.055 | 2601 data points |
Rwp = 0.075 | Excluded region(s): 145-160° 2θ |
Rexp = 0.027 | 24 parameters |
χ2 = 2.722 | |
Crystal data top
K0.30Na0.70NbO3 | V = 374.90 (1) Å3 |
Mr = 168.73 | Z = 6 |
Trigonal, R3c | Neutron radiation, λ = 1.60 Å |
a = 5.59214 (6) Å | T = 100 K |
c = 13.8430 (2) Å | cylinder, 20 × 50 mm |
Data collection top
D2B diffractometer | Scan method: step |
Specimen mounting: Vanadium can packed with powder | 2θmin = 0.10°, 2θmax = 160°, 2θstep = 0.05° |
Data collection mode: reflection | |
Refinement top
Rp = 0.055 | χ2 = 2.722 |
Rwp = 0.075 | 2601 data points |
Rexp = 0.027 | 24 parameters |
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top | x | y | z | Biso*/Beq | Occ. (<1) |
Na1 | 0 | 0 | 0.2666 (3) | 0.19 (4) | 0.7 |
K1 | 0 | 0 | 0.2666 (3) | 0.19 (4) | 0.3 |
Nb1 | 0 | 0 | 0.01564 (12) | −0.42 (2) | |
O1 | 0.1329 (2) | 0.3361 (4) | 0.08333 | 0.110 (17) | |
(KNN30at120K) Sodium Potassium Niobate
top
Crystal data top
K0.30Na0.70NbO3 | Z = 6 |
Mr = 168.73 | Neutron radiation, λ = 1.60 Å |
Trigonal, R3c | T = 120 K |
a = 5.59326 (6) Å | white |
c = 13.8432 (2) Å | cylinder, 20 × 50 mm |
V = 375.06 (1) Å3 | |
Data collection top
D2B diffractometer | Data collection mode: reflection |
Ge [115] monochromator | Scan method: step |
Specimen mounting: Vanadium can packed with powder | 2θmin = 0.10°, 2θmax = 160°, 2θstep = 0.05° |
Refinement top
Rp = 0.055 | 2601 data points |
Rwp = 0.075 | Excluded region(s): 145-160° 2θ |
Rexp = 0.027 | 24 parameters |
χ2 = 2.722 | |
Crystal data top
K0.30Na0.70NbO3 | V = 375.06 (1) Å3 |
Mr = 168.73 | Z = 6 |
Trigonal, R3c | Neutron radiation, λ = 1.60 Å |
a = 5.59326 (6) Å | T = 120 K |
c = 13.8432 (2) Å | cylinder, 20 × 50 mm |
Data collection top
D2B diffractometer | Scan method: step |
Specimen mounting: Vanadium can packed with powder | 2θmin = 0.10°, 2θmax = 160°, 2θstep = 0.05° |
Data collection mode: reflection | |
Refinement top
Rp = 0.055 | χ2 = 2.722 |
Rwp = 0.075 | 2601 data points |
Rexp = 0.027 | 24 parameters |
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top | x | y | z | Biso*/Beq | Occ. (<1) |
Na1 | 0 | 0 | 0.2664 (3) | 0.23 (4) | 0.7 |
K1 | 0 | 0 | 0.2664 (3) | 0.23 (4) | 0.3 |
Nb1 | 0 | 0 | 0.01568 (12) | −0.41 (2) | |
O1 | 0.1338 (2) | 0.3363 (4) | 0.08333 | 0.120 (17) | |
(KNN30at140K) Sodium Potassium Niobate
top
Crystal data top
K0.30Na0.70NbO3 | Z = 6 |
Mr = 168.73 | Neutron radiation, λ = 1.60 Å |
Trigonal, R3c | T = 140 K |
a = 5.59447 (6) Å | white |
c = 13.8429 (3) Å | cylinder, 20 × 50 mm |
V = 375.21 (1) Å3 | |
Data collection top
D2B diffractometer | Data collection mode: reflection |
Ge [115] monochromator | Scan method: step |
Specimen mounting: Vanadium can packed with powder | 2θmin = 0.10°, 2θmax = 160°, 2θstep = 0.05° |
Refinement top
Rp = 0.056 | 2601 data points |
Rwp = 0.076 | Excluded region(s): 145-160° 2θ |
Rexp = ? | 24 parameters |
RBragg = 0.027 | |
χ2 = 2.789 | |
Crystal data top
K0.30Na0.70NbO3 | V = 375.21 (1) Å3 |
Mr = 168.73 | Z = 6 |
Trigonal, R3c | Neutron radiation, λ = 1.60 Å |
a = 5.59447 (6) Å | T = 140 K |
c = 13.8429 (3) Å | cylinder, 20 × 50 mm |
Data collection top
D2B diffractometer | Scan method: step |
Specimen mounting: Vanadium can packed with powder | 2θmin = 0.10°, 2θmax = 160°, 2θstep = 0.05° |
Data collection mode: reflection | |
Refinement top
Rp = 0.056 | χ2 = 2.789 |
Rwp = 0.076 | 2601 data points |
Rexp = ? | 24 parameters |
RBragg = 0.027 | |
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top | x | y | z | Biso*/Beq | Occ. (<1) |
Na1 | 0 | 0 | 0.2662 (4) | 0.28 (4) | 0.7 |
K1 | 0 | 0 | 0.2662 (4) | 0.28 (4) | 0.3 |
Nb1 | 0 | 0 | 0.01564 (12) | −0.42 (2) | |
O1 | 0.1345 (2) | 0.3361 (4) | 0.08333 | 0.157 (18) | |
(KNN30at160K) Sodium Potassium Niobate
top
Crystal data top
K0.30Na0.70NbO3 | Z = 6 |
Mr = 168.73 | Neutron radiation, λ = 1.60 Å |
Trigonal, R3c | T = 160 K |
a = 5.59575 (6) Å | white |
c = 13.8429 (3) Å | cylinder, 20 × 50 mm |
V = 375.38 (1) Å3 | |
Data collection top
D2B diffractometer | Data collection mode: reflection |
Ge [115] monochromator | Scan method: step |
Specimen mounting: Vanadium can packed with powder | 2θmin = 0.10°, 2θmax = 160°, 2θstep = 0.05° |
Refinement top
Rp = 0.059 | 2601 data points |
Rwp = 0.079 | Excluded region(s): 145-160° 2θ |
Rexp = 0.027 | 24 parameters |
χ2 = 2.890 | |
Crystal data top
K0.30Na0.70NbO3 | V = 375.38 (1) Å3 |
Mr = 168.73 | Z = 6 |
Trigonal, R3c | Neutron radiation, λ = 1.60 Å |
a = 5.59575 (6) Å | T = 160 K |
c = 13.8429 (3) Å | cylinder, 20 × 50 mm |
Data collection top
D2B diffractometer | Scan method: step |
Specimen mounting: Vanadium can packed with powder | 2θmin = 0.10°, 2θmax = 160°, 2θstep = 0.05° |
Data collection mode: reflection | |
Refinement top
Rp = 0.059 | χ2 = 2.890 |
Rwp = 0.079 | 2601 data points |
Rexp = 0.027 | 24 parameters |
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top | x | y | z | Biso*/Beq | Occ. (<1) |
Na1 | 0 | 0 | 0.2660 (4) | 0.37 (4) | 0.7 |
K1 | 0 | 0 | 0.2660 (4) | 0.37 (4) | 0.3 |
Nb1 | 0 | 0 | 0.01559 (13) | −0.38 (2) | |
O1 | 0.1360 (3) | 0.3365 (4) | 0.08333 | 0.209 (19) | |
(KNN30at180K) Sodium Potassium Niobate
top
Crystal data top
K0.30Na0.70NbO3 | Z = 6 |
Mr = 168.73 | Neutron radiation, λ = 1.60 Å |
Trigonal, R3c | T = 180 K |
a = 5.59717 (10) Å | white |
c = 13.8423 (4) Å | cylinder, 20 × 50 mm |
V = 375.56 (2) Å3 | |
Data collection top
D2B diffractometer | Data collection mode: reflection |
Ge [115] monochromator | Scan method: step |
Specimen mounting: Vanadium can packed with powder | 2θmin = 0.10°, 2θmax = 160°, 2θstep = 0.05° |
Refinement top
Rp = 0.085 | 2601 data points |
Rwp = 0.114 | Excluded region(s): 145-160° 2θ |
Rexp = 0.027 | 24 parameters |
χ2 = 4.202 | |
Crystal data top
K0.30Na0.70NbO3 | V = 375.56 (2) Å3 |
Mr = 168.73 | Z = 6 |
Trigonal, R3c | Neutron radiation, λ = 1.60 Å |
a = 5.59717 (10) Å | T = 180 K |
c = 13.8423 (4) Å | cylinder, 20 × 50 mm |
Data collection top
D2B diffractometer | Scan method: step |
Specimen mounting: Vanadium can packed with powder | 2θmin = 0.10°, 2θmax = 160°, 2θstep = 0.05° |
Data collection mode: reflection | |
Refinement top
Rp = 0.085 | χ2 = 4.202 |
Rwp = 0.114 | 2601 data points |
Rexp = 0.027 | 24 parameters |
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top | x | y | z | Biso*/Beq | Occ. (<1) |
Na1 | 0 | 0 | 0.2660 (6) | 0.55 (6) | 0.7 |
K1 | 0 | 0 | 0.2660 (6) | 0.55 (6) | 0.3 |
Nb1 | 0 | 0 | 0.0155 (2) | −0.29 (3) | |
O1 | 0.1388 (4) | 0.3370 (6) | 0.08333 | 0.39 (3) | |
(KNN05at300K1) Sodium Potassium Niobate
top
Crystal data top
K0.05Na0.95NbO3 | V = 242.34 (1) Å3 |
Mr = 164.70 | Z = 4 |
Monoclinic, Pm | Neutron radiation, λ = 1.60 Å |
a = 5.60123 (12) Å | T = 300 K |
b = 7.79834 (15) Å | white |
c = 5.54800 (14) Å | flat, ? × ? × ? mm |
β = 90.051 (4)° | |
Data collection top
D2B diffractometer | Data collection mode: reflection |
Ge [115] monochromator | 2θmin = 0.10°, 2θmax = 160°, 2θstep = 0.05° |
Specimen mounting: Vanadium can packed with powder | |
Refinement top
Rp = 0.060 | ? data points |
Rwp = 0.079 | 57 parameters |
Rexp = ? | |
χ2 = 2.993 | |
Crystal data top
K0.05Na0.95NbO3 | β = 90.051 (4)° |
Mr = 164.70 | V = 242.34 (1) Å3 |
Monoclinic, Pm | Z = 4 |
a = 5.60123 (12) Å | Neutron radiation, λ = 1.60 Å |
b = 7.79834 (15) Å | T = 300 K |
c = 5.54800 (14) Å | flat, ? × ? × ? mm |
Data collection top
D2B diffractometer | Data collection mode: reflection |
Specimen mounting: Vanadium can packed with powder | 2θmin = 0.10°, 2θmax = 160°, 2θstep = 0.05° |
Refinement top
Rp = 0.060 | χ2 = 2.993 |
Rwp = 0.079 | ? data points |
Rexp = ? | 57 parameters |
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top | x | y | z | Biso*/Beq | Occ. (<1) |
Na1 | 0.538 (2) | 0 | 0.0048 (15) | 0 | 0.95 |
K1 | 0.538 (2) | 0 | 0.0048 (15) | 0 | 0.05 |
Na2 | 0.038 (2) | 0 | 0.4952 (15) | 0 | 0.95 |
K2 | 0.038 (2) | 0 | 0.4952 (15) | 0 | 0.05 |
Na3 | 0.538 (2) | 0.5 | 0.0048 (15) | 0 | 0.95 |
K3 | 0.538 (2) | 0.5 | 0.0048 (15) | 0 | 0.05 |
Na4 | 0.038 (2) | 0.5 | 0.4952 (15) | 0 | 0.95 |
K4 | 0.038 (2) | 0.5 | 0.4952 (15) | 0 | 0.05 |
Nb1 | 0.0322 (8) | 0.25 | 0.004 (4) | 0 | |
Nb2 | 0.5322 (8) | 0.25 | 0.504 (4) | 0 | |
O1 | −0.0033 (15) | 0 | 0.0561 (8) | 0 | |
O2 | 0.5033 (15) | 0 | 0.4439 (8) | 0 | |
O7 | 0.0033 (15) | 0.5 | −0.0561 (8) | 0 | |
O8 | 0.4967 (15) | 0.5 | 0.5561 (8) | 0 | |
O3 | 0.2839 (9) | 0.2835 (9) | 0.2174 (9) | 0 | |
O4 | 0.2174 (9) | 0.2311 (9) | 0.7161 (9) | 0 | |
O5 | 0.7826 (9) | 0.2690 (9) | 0.2839 (9) | 0 | |
O6 | 0.7161 (9) | 0.2165 (9) | 0.7826 (9) | 0 | |
Atomic displacement parameters (Å2) top | U11 | U22 | U33 | U12 | U13 | U23 |
Na1 | 0.017 (3) | 0.0173 (18) | 0.028 (3) | 0 | −0.020 (6) | 0 |
K1 | 0.017 (3) | 0.0173 (18) | 0.028 (3) | 0 | −0.020 (6) | 0 |
Na2 | 0.017 (3) | 0.0173 (18) | 0.028 (3) | 0 | −0.020 (6) | 0 |
K2 | 0.017 (3) | 0.0173 (18) | 0.028 (3) | 0 | −0.020 (6) | 0 |
Na3 | 0.017 (3) | 0.0173 (18) | 0.028 (3) | 0 | −0.020 (6) | 0 |
K3 | 0.017 (3) | 0.0173 (18) | 0.028 (3) | 0 | −0.020 (6) | 0 |
Na4 | 0.017 (3) | 0.0173 (18) | 0.028 (3) | 0 | −0.020 (6) | 0 |
K4 | 0.017 (3) | 0.0173 (18) | 0.028 (3) | 0 | −0.020 (6) | 0 |
Nb1 | 0.0026 (13) | 0.0067 (10) | 0.0048 (10) | 0.0002 (16) | −0.002 (4) | −0.011 (3) |
Nb2 | 0.0026 (13) | 0.0067 (10) | 0.0048 (10) | 0.0002 (16) | −0.002 (4) | −0.011 (3) |
O1 | 0.021 (2) | 0.0027 (12) | 0.019 (2) | 0 | −0.023 (3) | 0 |
O2 | 0.021 (2) | 0.0027 (12) | 0.019 (2) | 0 | −0.023 (3) | 0 |
O7 | 0.021 (2) | 0.0027 (12) | 0.019 (2) | 0 | −0.023 (3) | 0 |
O8 | 0.021 (2) | 0.0027 (12) | 0.019 (2) | 0 | −0.023 (3) | 0 |
O3 | 0.0074 (9) | 0.0148 (13) | 0.0076 (8) | −0.0036 (9) | −0.010 (2) | 0.007 (2) |
O4 | 0.0074 (9) | 0.0148 (13) | 0.0076 (8) | −0.0036 (9) | −0.010 (2) | 0.007 (2) |
O5 | 0.0074 (9) | 0.0148 (13) | 0.0076 (8) | −0.0036 (9) | −0.010 (2) | 0.007 (2) |
O6 | 0.0074 (9) | 0.0148 (13) | 0.0076 (8) | −0.0036 (9) | −0.010 (2) | 0.007 (2) |
(KNN05at300K2) Sodium Potassium Niobate
top
Crystal data top
K0.05Na0.95NbO3 | Z = 6 |
Mr = 164.70 | Neutron radiation, λ = 1.60 Å |
Trigonal, R3c | T = 300 K |
a = 5.5298 (3) Å | white |
c = 13.7692 (11) Å | flat, ? × ? × ? mm |
V = 364.63 (5) Å3 | |
Data collection top
D2B diffractometer | Data collection mode: reflection |
Ge [115] monochromator | 2θmin = 0.10°, 2θmax = 160°, 2θstep = 0.05° |
Specimen mounting: Vanadium can packed with powder | |
Refinement top
Rp = 0.060 | ? data points |
Rwp = 0.079 | 57 parameters |
Rexp = ? | |
χ2 = 2.993 | |
Crystal data top
K0.05Na0.95NbO3 | V = 364.63 (5) Å3 |
Mr = 164.70 | Z = 6 |
Trigonal, R3c | Neutron radiation, λ = 1.60 Å |
a = 5.5298 (3) Å | T = 300 K |
c = 13.7692 (11) Å | flat, ? × ? × ? mm |
Data collection top
D2B diffractometer | Data collection mode: reflection |
Specimen mounting: Vanadium can packed with powder | 2θmin = 0.10°, 2θmax = 160°, 2θstep = 0.05° |
Refinement top
Rp = 0.060 | χ2 = 2.993 |
Rwp = 0.079 | ? data points |
Rexp = ? | 57 parameters |
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top | x | y | z | Biso*/Beq | Occ. (<1) |
Na1 | 0 | 0 | 0.3209 (10) | −1.72 (16) | 0.95 |
K1 | 0 | 0 | 0.3209 (10) | −1.72 (16) | 0.05 |
Nb1 | 0 | 0 | 0.0578 (12) | 3.0 (4) | |
O1 | 0.007 (3) | 0.4425 (17) | 0.08333 | 0.66 (12) | |
(KNN30at200K) Sodium Potassium Niobate
top
Crystal data top
K0.30Na0.70NbO3 | V = 125.36 (1) Å3 |
Mr = 168.73 | Z = 2 |
Monoclinic, Pm | Neutron radiation, λ = 1.60 Å |
a = 5.65868 (12) Å | T = 200 K |
b = 3.93856 (5) Å | white |
c = 5.62480 (13) Å | flat, ? × ? × ? mm |
β = 90.073 (3)° | |
Data collection top
D2B diffractometer | Data collection mode: reflection |
Ge [115] monochromator | 2θmin = 0.10°, 2θmax = 160°, 2θstep = 0.05° |
Specimen mounting: Vanadium can packed with powder | |
Refinement top
Rp = 0.058 | ? data points |
Rwp = 0.076 | 39 parameters |
Rexp = ? | |
χ2 = 2.016 | |
Crystal data top
K0.30Na0.70NbO3 | β = 90.073 (3)° |
Mr = 168.73 | V = 125.36 (1) Å3 |
Monoclinic, Pm | Z = 2 |
a = 5.65868 (12) Å | Neutron radiation, λ = 1.60 Å |
b = 3.93856 (5) Å | T = 200 K |
c = 5.62480 (13) Å | flat, ? × ? × ? mm |
Data collection top
D2B diffractometer | Data collection mode: reflection |
Specimen mounting: Vanadium can packed with powder | 2θmin = 0.10°, 2θmax = 160°, 2θstep = 0.05° |
Refinement top
Rp = 0.058 | χ2 = 2.016 |
Rwp = 0.076 | ? data points |
Rexp = ? | 39 parameters |
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top | x | y | z | Biso*/Beq | Occ. (<1) |
Na1 | 0.5389 (18) | 0.5 | 0.018 (2) | 0 | 0.7 |
K1 | 0.5389 (18) | 0.5 | 0.018 (2) | 0 | 0.3 |
Na2 | 0.0389 (18) | 0.5 | 0.518 (2) | 0 | 0.7 |
K2 | 0.0389 (18) | 0.5 | 0.518 (2) | 0 | 0.3 |
Nb1 | 0.0362 (5) | 0 | −0.003 (2) | 0 | |
Nb2 | 0.5362 (5) | 0 | 0.497 (2) | 0 | |
O1 | 0 | 0.5 | 0 | 0 | |
O2 | 0.5 | 0.5 | 0.5 | 0 | |
O3 | 0.2737 (9) | 0 | 0.2286 (10) | 0 | |
O4 | 0.2286 (10) | 0 | 0.7263 (9) | 0 | |
O5 | 0.7714 (10) | 0 | 0.2737 (9) | 0 | |
O6 | 0.7263 (9) | 0 | 0.7714 (10) | 0 | |
Atomic displacement parameters (Å2) top | U11 | U22 | U33 | U12 | U13 | U23 |
Na1 | 0.009 (3) | 0.0031 (11) | 0.006 (3) | 0 | −0.038 (3) | 0 |
K1 | 0.009 (3) | 0.0031 (11) | 0.006 (3) | 0 | −0.038 (3) | 0 |
Na2 | 0.009 (3) | 0.0031 (11) | 0.006 (3) | 0 | −0.038 (3) | 0 |
K2 | 0.009 (3) | 0.0031 (11) | 0.006 (3) | 0 | −0.038 (3) | 0 |
Nb1 | 0.0000 (17) | 0.0000 (6) | 0.0000 (12) | 0 | −0.004 (2) | 0 |
Nb2 | 0.0000 (17) | 0.0000 (6) | 0.0000 (12) | 0 | −0.004 (2) | 0 |
O1 | 0.0109 (16) | 0.0000 (9) | 0.0146 (17) | 0 | 0.007 (3) | 0 |
O2 | 0.0109 (16) | 0.0000 (9) | 0.0146 (17) | 0 | 0.007 (3) | 0 |
O3 | 0.0012 (7) | 0.0108 (6) | 0.0002 (7) | 0 | 0.003 (2) | 0 |
O4 | 0.0012 (7) | 0.0108 (6) | 0.0002 (7) | 0 | 0.003 (2) | 0 |
O5 | 0.0012 (7) | 0.0108 (6) | 0.0002 (7) | 0 | 0.003 (2) | 0 |
O6 | 0.0012 (7) | 0.0108 (6) | 0.0002 (7) | 0 | 0.003 (2) | 0 |
Experimental details
| (KNN05at50K) | (KNN05at100K) | (KNN05at150K) | (KNN05at200K) |
Crystal data |
Chemical formula | K0.05Na0.95NbO3 | K0.05Na0.95NbO3 | K0.05Na0.95NbO3 | K0.05Na0.95NbO3 |
Mr | 164.71 | 164.71 | 164.71 | 164.71 |
Crystal system, space group | Trigonal, R3c | Trigonal, R3c | Trigonal, R3c | Trigonal, R3c |
Temperature (K) | 50 | 100 | 150 | 200 |
a, b, c (Å) | 5.51848 (4), 5.51848 (4), 13.78476 (15) | 5.51972 (5), 5.51972 (5), 13.78350 (16) | 5.52229 (5), 5.52229 (5), 13.78243 (16) | 5.52539 (5), 5.52539 (5), 13.78058 (17) |
α, β, γ (°) | 90, 90, 120 | 90, 90, 120 | 90, 90, 120 | 90, 90, 120 |
V (Å3) | 363.55 (1) | 363.68 (1) | 363.99 (1) | 364.35 (1) |
Z | 6 | 6 | 6 | 6 |
Radiation type | Neutron, λ = 1.60 Å | Neutron, λ = 1.60 Å | Neutron, λ = 1.60 Å | Neutron, λ = 1.60 Å |
Specimen shape, size (mm) | Cylinder, 20 × 50 | Cylinder, 20 × 50 | Cylinder, 20 × 50 | Cylinder, 20 × 50 |
|
Data collection |
Diffractometer | D2B diffractometer | D2B diffractometer | D2B diffractometer | D2B diffractometer |
Specimen mounting | Vanadium can packed with powder | Vanadium can packed with powder | Vanadium can packed with powder | Vanadium can packed with powder |
Data collection mode | Reflection | Reflection | Reflection | Reflection |
Scan method | Step | Step | Step | Step |
2θ values (°) | 2θmin = 0.10 2θmax = 160 2θstep = 0.05 | 2θmin = 0.10 2θmax = 160 2θstep = 0.05 | 2θmin = 0.10 2θmax = 160 2θstep = 0.05 | 2θmin = 0.10 2θmax = 160 2θstep = 0.05 |
|
Refinement |
R factors and goodness of fit | Rp = 0.050, Rwp = 0.066, Rexp = 0.017, χ2 = 3.842 | Rp = 0.050, Rwp = 0.067, Rexp = 0.018, χ2 = 3.497 | Rp = 0.053, Rwp = 0.070, Rexp = 0.019, χ2 = 3.610 | Rp = 0.053, Rwp = 0.069, Rexp = 0.019, χ2 = 3.610 |
No. of data points | 2601 | 2601 | 2601 | 2601 |
No. of parameters | 24 | 24 | 24 | 24 |
No. of restraints | ? | ? | ? | ? |
| (KNN05at250K) | (KNN30at100K) | (KNN30at120K) | (KNN30at140K) |
Crystal data |
Chemical formula | K0.05Na0.95NbO3 | K0.30Na0.70NbO3 | K0.30Na0.70NbO3 | K0.30Na0.70NbO3 |
Mr | 164.71 | 168.73 | 168.73 | 168.73 |
Crystal system, space group | Trigonal, R3c | Trigonal, R3c | Trigonal, R3c | Trigonal, R3c |
Temperature (K) | 250 | 100 | 120 | 140 |
a, b, c (Å) | 5.52922 (5), 5.52922 (5), 13.77931 (17) | 5.59214 (6), 5.59214 (6), 13.8430 (2) | 5.59326 (6), 5.59326 (6), 13.8432 (2) | 5.59447 (6), 5.59447 (6), 13.8429 (3) |
α, β, γ (°) | 90, 90, 120 | 90, 90, 120 | 90, 90, 120 | 90, 90, 120 |
V (Å3) | 364.83 (1) | 374.90 (1) | 375.06 (1) | 375.21 (1) |
Z | 6 | 6 | 6 | 6 |
Radiation type | Neutron, λ = 1.60 Å | Neutron, λ = 1.60 Å | Neutron, λ = 1.60 Å | Neutron, λ = 1.60 Å |
Specimen shape, size (mm) | Cylinder, 20 × 50 | Cylinder, 20 × 50 | Cylinder, 20 × 50 | Cylinder, 20 × 50 |
|
Data collection |
Diffractometer | D2B diffractometer | D2B diffractometer | D2B diffractometer | D2B diffractometer |
Specimen mounting | Vanadium can packed with powder | Vanadium can packed with powder | Vanadium can packed with powder | Vanadium can packed with powder |
Data collection mode | Reflection | Reflection | Reflection | Reflection |
Scan method | Step | Step | Step | Step |
2θ values (°) | 2θmin = 0.10 2θmax = 160 2θstep = 0.05 | 2θmin = 0.10 2θmax = 160 2θstep = 0.05 | 2θmin = 0.10 2θmax = 160 2θstep = 0.05 | 2θmin = 0.10 2θmax = 160 2θstep = 0.05 |
|
Refinement |
R factors and goodness of fit | Rp = 0.050, Rwp = 0.067, Rexp = ?, RBragg = 0.019, χ2 = 3.648 | Rp = 0.055, Rwp = 0.075, Rexp = 0.027, χ2 = 2.722 | Rp = 0.055, Rwp = 0.075, Rexp = 0.027, χ2 = 2.722 | Rp = 0.056, Rwp = 0.076, Rexp = ?, RBragg = 0.027, χ2 = 2.789 |
No. of data points | 2601 | 2601 | 2601 | 2601 |
No. of parameters | 24 | 24 | 24 | 24 |
No. of restraints | ? | ? | ? | ? |
| (KNN30at160K) | (KNN30at180K) | (KNN05at300K1) | (KNN05at300K2) |
Crystal data |
Chemical formula | K0.30Na0.70NbO3 | K0.30Na0.70NbO3 | K0.05Na0.95NbO3 | K0.05Na0.95NbO3 |
Mr | 168.73 | 168.73 | 164.70 | 164.70 |
Crystal system, space group | Trigonal, R3c | Trigonal, R3c | Monoclinic, Pm | Trigonal, R3c |
Temperature (K) | 160 | 180 | 300 | 300 |
a, b, c (Å) | 5.59575 (6), 5.59575 (6), 13.8429 (3) | 5.59717 (10), 5.59717 (10), 13.8423 (4) | 5.60123 (12), 7.79834 (15), 5.54800 (14) | 5.5298 (3), 5.5298 (3), 13.7692 (11) |
α, β, γ (°) | 90, 90, 120 | 90, 90, 120 | 90, 90.051 (4), 90 | 90, 90, 120 |
V (Å3) | 375.38 (1) | 375.56 (2) | 242.34 (1) | 364.63 (5) |
Z | 6 | 6 | 4 | 6 |
Radiation type | Neutron, λ = 1.60 Å | Neutron, λ = 1.60 Å | Neutron, λ = 1.60 Å | Neutron, λ = 1.60 Å |
Specimen shape, size (mm) | Cylinder, 20 × 50 | Cylinder, 20 × 50 | Flat, ? × ? × ? | Flat, ? × ? × ? |
|
Data collection |
Diffractometer | D2B diffractometer | D2B diffractometer | D2B diffractometer | D2B diffractometer |
Specimen mounting | Vanadium can packed with powder | Vanadium can packed with powder | Vanadium can packed with powder | Vanadium can packed with powder |
Data collection mode | Reflection | Reflection | Reflection | Reflection |
Scan method | Step | Step | ? | ? |
2θ values (°) | 2θmin = 0.10 2θmax = 160 2θstep = 0.05 | 2θmin = 0.10 2θmax = 160 2θstep = 0.05 | 2θmin = 0.10 2θmax = 160 2θstep = 0.05 | 2θmin = 0.10 2θmax = 160 2θstep = 0.05 |
|
Refinement |
R factors and goodness of fit | Rp = 0.059, Rwp = 0.079, Rexp = 0.027, χ2 = 2.890 | Rp = 0.085, Rwp = 0.114, Rexp = 0.027, χ2 = 4.202 | Rp = 0.060, Rwp = 0.079, Rexp = ?, χ2 = 2.993 | Rp = 0.060, Rwp = 0.079, Rexp = ?, χ2 = 2.993 |
No. of data points | 2601 | 2601 | ? | ? |
No. of parameters | 24 | 24 | 57 | 57 |
No. of restraints | ? | ? | ? | ? |
| (KNN30at200K) |
Crystal data |
Chemical formula | K0.30Na0.70NbO3 |
Mr | 168.73 |
Crystal system, space group | Monoclinic, Pm |
Temperature (K) | 200 |
a, b, c (Å) | 5.65868 (12), 3.93856 (5), 5.62480 (13) |
α, β, γ (°) | 90, 90.073 (3), 90 |
V (Å3) | 125.36 (1) |
Z | 2 |
Radiation type | Neutron, λ = 1.60 Å |
Specimen shape, size (mm) | Flat, ? × ? × ? |
|
Data collection |
Diffractometer | D2B diffractometer |
Specimen mounting | Vanadium can packed with powder |
Data collection mode | Reflection |
Scan method | ? |
2θ values (°) | 2θmin = 0.10 2θmax = 160 2θstep = 0.05 |
|
Refinement |
R factors and goodness of fit | Rp = 0.058, Rwp = 0.076, Rexp = ?, χ2 = 2.016 |
No. of data points | ? |
No. of parameters | 39 |
No. of restraints | ? |