Synthèse et caractérisation de pérovskites à base de lanthane

Conclusion générale

L'ensemble des travaux présentés dans ce mémoire a été axé sur la synthèse de trois phases à structure pérovskite dont la formule générale est LaMO3 (M=Fe, Mn, Ti) par voie solide (méthode céramique), les différents échantillons ont été traités à température 900°C puis à 1000°C afin d'obtenir les phases recherchées, vient en suit l'étape de caractérisation de ces échantillons par la diffraction des rayons X. Les différents spectres obtenus ont été comparés avec la base de données.

Les résultats de ce travail sont rassemblés comme suit:

L'échantillon E1 :

La caractérisation par diffraction des RX nous a permis de conclure que la poudre E1 est monophasique et après l'affinement par le logiciel CELREF on trouve :

T=900°C :

LaFeO3 : SG : Pnma du système orthorhombique :

a=5.5590 A°, b=5.5647 A°, c=7.8598 A°

T=1000°C :

LaFeO3 : SG : Pnma du système orthorhombique :

a=5.5580 A° b=5.5652 A° c=7.8627 A°

L'échantillon E2 :

De même que l'échantillon E1 :

T=900°C :

LaMnO3 : SG : Pbnm du système orthorhombique :

a=5.5198 A° , b=5.7517 A° , c=7.7377 A°

T=1000°C:

LaMnO3 : SG : Pbnm du système orthorhombique :

a=5.5226 A° , b=5.7527 A° , c=7.7541 A°

L'échantillon E3:

T=1000°C:

LaTiO3 : SG : Pm-3m du système cubique

a=b=c=3,9085 A°

TiO2 : SG : P42/mmm du système tetragonal

a=b= 4,58 A° c= 2,95 A°

La2O3 : SG : P-3m1du système hexagonal

a= b= 3.9417 A° c=6.1372 A°

La2Ti2O7 : SG : P21/m du système monoclinique

a=13.0031 A° b= 5.5410A° c= 7.7994 A° â=98.46 °

La phase LaFeO3 d'après la base de données

CELREF VERSION 3
P1:LaFeO3 (T=900°C)

Initial values : (Refinement keys on 2nd line)
Zero Lambda a b c alpha beta gamma volume

0.000 0 H	1.54060 0 K L		5.5582 5.5645 1 1 2Th (obs)	7.8614 90.00 1 0 2Th_obs-shift	90.00 90.00 243.142 0 0 2Th (Calc) diff.
0	0	2	22.6065	22.6065	22.6028	0.0037
1	1	1	25.3037	25.3037	25.3033	0.0004
2	0	0	32.1855	32.1855	32.1835	0.0020
2	0	1	34.1590	34.1590	34.1935	-0.0345
2	0	2	39.6834	39.6834	39.6876	-0.0042
0	0	4	46.1503	46.1503	46.1506	-0.0003
2	2	1	47.6397	47.6397	47.6359	0.0038
1	1	4	51.9892	51.9892	51.9735	0.0157
1	3	1	53.3070	53.3070	53.3127	-0.0057
2	0	4	57.3796	57.3796	57.3768	0.0028
4	0	0	67.3297	67.3297	67.3322	-0.0025
3	1	4	72.0183	72.0183	72.0179	0.0004
1	1	6	76.6079	76.6079	76.5862	0.0217
2	4	1	77.6419	77.6419	77.6476	-0.0057

Final values : (Standard errors on 2nd line)

Zero Lambda a b c alpha beta gamma volume

0.000 0.0000 H	1.54060 0.00000 K L		5.5590 5.5647 0.0006 0.0007 2Th (obs)	7.8598 90.00 0.0007 0.000 2Th_obs-shift	90.00 90.00 0.000 0.000 2Th (Calc)	243.13 0.000 diff.
0	0	2	22.6065	22.6065	22.6075	-0.0010
1	1	1	25.3037	25.3037	25.3024	0.0013
2	0	0	32.1855	32.1855	32.1785	0.0070
2	0	1	34.1590	34.1590	34.1896	-0.0306
2	0	2	39.6834	39.6834	39.6863	-0.0029
0	0	4	46.1503	46.1503	46.1606	-0.0103
2	2	1	47.6397	47.6397	47.6322	0.0075
1	1	4	51.9892	51.9892	51.9817	0.0075
1	3	1	53.3070	53.3070	53.3107	-0.0037
2	0	4	57.3796	57.3796	57.3822	-0.0026
4	0	0	67.3297	67.3297	67.3208	0.0089
3	1	4	72.0183	72.0183	72.0192	-0.0009
1	1	6	76.6079	76.6079	76.6021	0.0058
2	4	1	77.6419	77.6419	77.6429	-0.0010

CELREF Version 3
P1:LaFeO3 (T=1000°C)
Initial values : (Refinement keys on 2nd line)

Zero 0.000 0	Lambda 1.54060 0 H K L		a b 5.5579 5.5646 1 1 2Th (obs)	c alpha 7.8646 90.00 1 0 2Th_obs-shift	beta gamma volume 90.00 90.00 243.232 0 0 2Th (Calc) diff.
1	1	0	22.5919	22.5919	22.5929	-0.0010
1	1	1	25.3011	25.3011	25.3015	-0.0004
2	0	0	32.1787	32.1787	32.1853	-0.0066
2	0	2	39.6856	39.6856	39.6834	0.0022
0	0	4	46.1435	46.1435	46.1307	0.0128
2	2	1	47.6358	47.6358	47.6356	0.0002
3	1	0	51.9775	51.9775	51.9813	-0.0038
1	3	1	53.3017	53.3017	53.3110	-0 .0093
3	1	2	57.3744	57.3744	57.3727	0.0017
1	3	3	63.6406	63.6406	63.6420	-0.0014
4	0	0	67.3254	67.3254	67.3363	-0.0109
4	0	2	72.0274	72.0274	72.0266	0.0008
4	2	0	76.5945	76.5945	76.5839	0.0106

Final values : (Standard errors on 2nd line)

Zero Lambda a b c alpha beta gamma volume

0.000 0.0000 H	1.54060 0.00000 K L		5.5580 5.5652 0.0002 0.0005 2Th (obs)	7.8627 90.00 0.0009 0.000 2Th_obs-shift	90.00 0.000 2Th (Calc)	90.00 243.205 0.000 0.000 diff.
1	1	0	22.5919	22.5919	22.5915	0.0004
1	1	1	25.3011	25.3011	25.3015	-0.0004
2	0	0	32.1787	32.1787	32.1846	-0.0059
2	0	2	39.6856	39.6856	39.6862	-0.0006
0	0	4	46.1435	46.1435	46.1425	0.0010
2	2	1	47.6358	47.6358	47.6333	0.0025
3	1	0	51.9775	51.9775	51.9798	-0.0023
1	3	1	53.3017	53.3017	53.3062	-0.0045
3	1	2	57.3744	57.3744	57.3738	0.0006
1	3	3	63.6406	63.6406	63.6424	-0.0018
4	0	0	67.3254	67.3254	67.3349	-0.0095
4	0	2	72.0274	72.0274	72.0275	-0.0001
4	2	0	76.5945	76.5945	76.5806	0.0139

La phase LaMnO3 d'après la base de données

CELREF version 3
P2:LaMnO3 (900°C)
Initial values : (Refinement keys on 2nd line)
Zero Lambda a b c alpha beta gamma volume

0.000 0 H	K	1.54060 0 L	5.5341 5.7438 1 1 2Th (obs)	7.7235 90.00 1 0 2Th_obs-shift	90.00 90.00 0 0 2Th (Calc)	245.505 diff.
1	1	0	22.7367	22.7367	22.2893	0.4474
2	0	0	32.5073	32.5073	32.3275	0.1798
2	1	0	35.8669	35.8669	35.9983	-0.1314
2	0	2	40.2804	40.2804	40.0548	0.2256
0	0	4	46.5880	46.5880	47.0236	-0.4356
1	1	4	52.5428	52.5428	52.6288	-0.0860
3	1	2	57.8179	57.8179	57.6075	0.2104
2	0	4	57.9733	57.9733	58.2171	-0.2438
2	0	4	58.3252	58.3252	58.2171	0.1081
2	3	2	63.8060	63.8060	63.7881	0.0179
3	1	3	64.0299	64.0299	64.1354	-0.1055
1	1	5	64.7707	64.7707	64.6637	0.1070
4	0	0	67.8068	67.8068	67.6649	0.1419
1	4	1	68.3478	68.3478	68.5417	-0.1939
0	4	2	69.5210	69.5210	69.8249	-0.3039
2	3	3	69.9709	69.9709	69.9877	-0.0168
3	1	4	72.8807	72.8807	72.7232	0.1575
0	4	3	75.8770	75.8770	75.7933	0.0837
4	2	0	76.6573	76.6573	76.3412	0.3161
4	2	1	77.4414	77.4414	77.5114	-0.0700

Final values : (Standard errors on 2nd line)

Zero Lambda a b c alpha beta gamma volume

0.000 0.0000 H	K	1.54060 0.00000 L	5.5198 0.0074 2Th (obs)	5.7517 7.7377 90.00 90.00 0.0092 0.0139 0.000 0.000 2Th_obs-shift 2Th (Calc)		90.00 245.660 0.000 0.000 diff.
1	1	0	22.7367	22.7367	22.3047	0.4320
2	0	0	32.5073	32.5073	32.4134	0.0939
2	1	0	35.8669	35.8669	36.0668	-0.1999
2	0	2	40.2804	40.2804	40.1002	0.1802
0	0	4	46.5880	46.5880	46.9320	-0.3440
1	1	4	52.5428	52.5428	52.5518	-0.0090
3	1	2	57.8179	57.8179	57.7035	0.1144
2	0	4	57.9733	57.9733	58.1924	-0.2191
2	0	4	58.3252	58.3252	58.1924	0.1328
2	3	2	63.8060	63.8060	63.7640	0.0420
3	1	3	64.0299	64.0299	64.2022	-0.1723
1	1	5	64.7707	64.7707	64.5542	0.2165
4	0	0	67.8068	67.8068	67.8637	-0.0569
1	4	1	68.3478	68.3478	68.4524	-0.1046

0 4 2 69.5210 69.5210 69.7107 -0.1897

2 3 3 69.9709 69.9709 69.9424 0.0285

3 1 4 72.8807 72.8807 72.7555 0.1252

0 4 3 75.8770 75.8770 75.6611 0.2159

4 2 0 76.6573 76.6573 76.5072 0.1501

4 2 1 77.4414 77.4414 77.6723 -0.2309

CELREF version 3

P2: LaMnO3 (1000°C)

Initial values : (Refinement keys on 2nd line)

Zero Lambda a b c alpha beta gamma volume

0.000 1.54060 5.5308 5.7583 7.7447 90.00 90.00 90.00 246.653

0 0 1 1 1 0 0 0

H K L 2Th (obs) 2Th_obs-shift 2Th (Calc) diff.

0 0 2 22.7478 22.7478 22.9480 -0.2002

2 0 0 32.2843 32.2843 32.3473 -0.0630

1 0 3 38.2504 38.2504 38.4512 -0.2008

2 0 2 40.4070 40.4070 40.0325 0.3745

0 0 4 46.5658 46.5658 46.8872 -0.3214

3 1 0 52.2885 52.2885 52.0440 0.2445

1 1 4 52.6792 52.6792 52.4935 0.1857

3 1 2 57.6304 57.6304 57.5940 0.0364

2 2 3 58.4506 58.4506 58.4264 0.0242

4 0 0 67.6516 67.6516 67.7107 -0.0591

1 4 1 68.3997 68.3997 68.3596 0.0401

1 1 6 77.6943 77.6943 77.6931 0.0012

Final values : (Standard errors on 2nd line)

Zero Lambda a b c alpha beta gamma volume

0.000 1.54060 5.5226 5.7527 7.7541 90.00 90.00 90.00 246.342

0.0000 0.00000 0.0101 0.0163 0.0138 0.000 0.000 0.000 0.000

H K L 2Th (obs) 2Th_obs-shift 2Th (Calc) diff.

0 0 2 22.7478 22.7478 22.9199 -0.1721

2 0 0 32.2843 32.2843 32.3969 -0.1126

1 0 3 38.2504 38.2504 38.4223 -0.1719

2 0 2 40.4070 40.4070 40.0568 0.3502

0 0 4 46.5658 46.5658 46.8273 -0.2615

3 1 0 52.2885 52.2885 52.1248 0.1637

1 1 4 52.6792 52.6792 52.4518 0.2274

3 1 2 57.6304 57.6304 57.6566 -0.0262

2 2 3 58.4506 58.4506 58.4475 0.0031

4 0 0 67.6516 67.6516 67.8256 -0.1740

1 4 1 68.3997 68.3997 68.4329 -0.0332

1 1 6 77.6943 77.6943 77.6033 0.0910

CELREF Version 3

P3:LaTiO3 (1000°C)

Initial values : (Refinement keys on 2nd line)

Zero Lambda a b c alpha beta gamma volume

0.000 0 H		1.54060 0 K L			3.9111 3.9111 1 0 2Th (obs)	3.9111 90.00 90.00 90.00 59.827 0 0 0 0 2Th_obs-shift 2Th (Calc) diff.
0		1 1			32.5320			32.5320		32.3453	0.1867
1		1 1			39.8120			39.8120		39.8916	-0.0796
0		0 2			46.3754			46.3754		46.3953	-0.0199
2		0 1			52.4121			52.4121		52.2586	0.1535
2		1 1			57.9244			57.9244		57.6888	0.2356
2		0 2			67.6657			67.6657		67.7061	-0.0404
1		2 2			72.3127			72.3127		72.4357	-0.1230
					Final values	: (Standard errors on 2nd line)
Zero		Lambda			a	b		c alpha		beta gamma	volume
0.000		1.54060			3.9085	3.9085		3.9085 90.00		90.00	90.00 59.706
0.0000		0.00000			0.0078	0.0000		0.0000 0.000		0.000	0.000 0.000
H		K L			2Th (obs)	2Th_obs-shift				2Th (Calc) diff.
0	1		1	32.5320			32.5320		32.3677			0.1643
1	1		1	39.8120			39.8120		39.9197			-0.1077
0	0		2	46.3754			46.3754		46.4285			-0.0531
2	0		1	52.4121			52.4121		52.2966			0.1155
2	1		1	57.9244			57.9244		57.7314			0.1930
2	0		2	67.6657			67.6657		67.7581			-0.0924
1	2		2	72.3127			72.3127		72.4924			-0.179

CELREF Version 3

P4:TiO2

Initial values : (Refinement keys on 2nd line)

Zero Lambda a b c alpha beta gamma volume

0.000 1.54060 4.5793 4.5793 2.9560 90.00 90.00 90.00 61.987

0 0 1 0 1 0 0 0

H K L 2Th (obs) 2Th_obs-shift 2Th (Calc) diff.

1	1	0	27.5243	27.5243	27.5241	0.0002
1	0	1	36.1531	36.1531	36.1383	0.0148
0	0	2	62.8203	62.8203	62.8225	-0.0022
3	0	1	69.2146	69.2146	69.2149	-0.0003
1	3	1	72.6278	72.6278	72.6462	-0.0184

Final values : (Standard errors on 2nd line)

Zero			Lambda		a	b c		alpha beta gamma				volume
0.000			1.54060		4.5793	4.5793 2.9560		90.00 90.00			90.00	61.987
0.0000			0.00000		0.0010	0.0000 0.0003		0.000 0.000			0.000	0.000
H K			L		2Th (obs)	2Th_obs-shift		2Th (Calc)			diff.
1	1	0		27.5243			27.5243		27.5243	0.0000
1	0	1		36.1531			36.1531		36.1380	0.0151
0	0	2		62.8203			62.8203		62.8215	-0.0012
3	0	1		69.2146			69.2146		69.2152	-0.0006
1	3	1		72.6278			72.6278		72.6465	-0.0187

CELREF Version 3

P 5:La2O3

Initial values : (Refinement keys on 2nd line)

Zero Lambda a b c alpha beta gamma volume

0.000 1.54060 3.9415 3.9415 6.1373 90.00 90.00 120.00 82.572

0 0 1 0 1 0 0 0

H K L 2Th (obs) 2Th_obs-shift 2Th (Calc) diff.

0 1 1 29.9259 29.9259 29.9292 -0.0033

1 1 3 65.7766 65.7766 65.7391 0.0375

1 2 0 73.3067 73.3067 73.3190 -0.0123

1 1 4 79.0052 79.0052 79.0269 -0.0217

Final values : (Standard errors on 2nd line)

Zero Lambda a b c alpha beta gamma volume

0.000 1.54060 3.9417 3.9417 6.1372 90.00 90.00 120.00 82.577

0.0000 0.00000 0.0049 0.0000 0.0015 0.000 0.000 0.000 0.001

H K L 2Th (obs) 2Th_obs-shift 2Th (Calc) diff.

0 1 1 29.9259 29.9259 29.9283 -0.0024

1 1 3 65.7766 65.7766 65.7380 0.0386

1 2 0 73.3067 73.3067 73.3157 -0.0090

1 1 4 79.0052 79.0052 79.0261 -0.0209

CELREF Version 3

P6:La2Ti2O7

Initial values : (Refinement keys on 2nd line)

Zero Lambda a b c alpha beta gamma volume

0.000 1.54060 13.0031 5.5410 7.7994 90.00 98.46 90.00 555.833

0 0 1 1 1 0 1 0

H K L 2Th (obs) 2Th_obs-shift 2Th (Calc) diff.

2	0		0		13.8275		13.8275		13.7591		0.0684
1	1		0		17.4933		17.4933		17.4127		0.0806
2	1		0		21.2188		21.2188		21.1479		0.0709
-2	1		1		23.1136		23.1136		23.1104		0.0032
2	1		1		25.0670		25.0670		25.0859		-0.0189
3	1		0		26.2020		26.2020		26.2617		-0.0597
-3	1		1		27.5340		27.5340		27.4517		0.0823
-1	1		2		28.1952		28.1952		28.1821		0.0131
-3	0		2		28.7170		28.7170		28.7426		-0.0256
3	1		1		29.9809		29.9809		29.9703		0.0106
0	2		0		32.2966		32.2966		32.2861		0.0105
-4	1		1		32.7942		32.7942		32.7858		0.0084
-3	1		2		33.0580		33.0580		33.0562		0.0018
-4	0		2		33.5228		33.5228		33.5287		-0.0059
0	2		1		34.4367		34.4367		34.3657		0.0710
-4	1		2		37.3570		37.3570		37.3488		0.0082
0	1		3		38.6073		38.6073		38.5664		0.0409
2	0		3		39.5815		39.5815		39.5808		0.0007
-1	2		2		40.0583		40.0583		40.0490		0.0093
1	2		2		41.2840		41.2840		41.2866		-0.0026
-6	0		0		42.1893		42.1893		42.1204		0.0689
-5	1		2		42.4538		42.4538		42.4871		-0.0333
4	2		0		43.1249		43.1249		43.0626		0.0623
-3	2		2		43.7581		43.7581		43.7652		-0.0071
6	1		0		45.3428		45.3428		45.3249		0.0179
-5	0		3		46.1500		46.1500		46.0543		0.0957
-1	0		4		46.5320		46.5320		46.5391		-0.0071
-4	2		2		47.2043		47.2043		47.2344		-0.0301
-6	1		2		48.2796		48.2796		48.2751		0.0045
1	0		4		48.6583		48.6583		48.7226		-0.0643
-2	2		3		48.8658		48.8658		48.8260		0.0398
-2	1		4		50.0812		50.0812		50.0767		0.0045
1	1		4		51.6388		51.6388		51.6069		0.0319
7	0		1		52.8950		52.8950		52.8502		0.0448
6	1		2		54.3891		54.3891		54.4725		-0.0834
0	3		2		55.0687		55.0687		55.0844		-0.0157
7	1		1		55.4909		55.4909		55.5804		-0.0895
												Annexe
1		3		2		56.0488		56.0488		56.0715		-0.0227
-6		2		2		56.6660		56.6660		56.6605		0.0055
-7		0		3		57.1486		57.1486		57.1176		0.0310
-5		1		4		57.7098		57.7098		57.7687		-0.0589
-3		3		2		58.0559		58.0559		58.0675		-0.0116
-8		0		2		58.8393		58.8393		58.8411		-0.0018
8		1		0		59.8705		59.8705		59.8534		0.0171
7		2		0		60.4161		60.4161		60.4049		0.0112
-8		1		2		61.3564		61.3564		61.3955		-0.0391
-2		3		3		62.3364		62.3364		62.2841		0.0523
-4		0		5		62.8288		62.8288		62.8002		0.0286
2		0		5		64.1094		64.1094		64.0488		0.0606
-7		0		4		64.6749		64.6749		64.6612		0.0137
-9		0		0		65.2306		65.2306		65.2343		-0.0037
-5		0		5		65.8244		65.8244		65.7873		0.0371
-9		1		1		66.9879		66.9879		66.9217		0.0662
3		0		5		67.4620		67.4620		67.4096		0.0524
1		4		0		67.9852		67.9852		68.0133		-0.0281
-5		1		5		68.1219		68.1219		68.1935		-0.0716
-9		1		2		68.6949		68.6949		68.6637		0.0312
-1		2		5		69.0624		69.0624		69.0651		-0.0027
4		2		4		69.2228		69.2228		69.1908		0.0320
6		2		3		69.8576		69.8576		69.8596		-0.0020
8		2		1		70.2700		70.2700		70.2349		0.0351
-9		0		3		70.4508		70.4508		70.4600		-0.0092
9		1		1		70.8575		70.8575		70.8135		0.0440
1		3		4		71.7877		71.7877		71.8301		-0.0424
-3		4		1		72.1147		72.1147		72.0843		0.0304
-10		0		1		72.6359		72.6359		72.6712		-0.0353
3		4		1		73.3525		73.3525		73.3513		0.0012
2		2		5		73.5542		73.5542		73.5608		-0.0066
9		0		2		73.9923		73.9923		73.9901		0.0022
6		3		2		74.2391		74.2391		74.2240		0.0151
-3		4		2		75.0117		75.0117		75.0276		-0.0159
-4		0		6		75.3557		75.3557		75.4143		-0.0586
10		1		0		75.8212		75.8212		75.8801		-0.0589
3		4		2		77.5072		77.5072		77.5185		-0.0113
9		2		1		77.7216		77.7216		77.7201		0.0015
5		4		0		78.2756		78.2756		78.3334		-0.0578
5		1		5		78.6794		78.6794		78.7253		-0.0459
10		1		1		79.0492		79.0492		79.1161		-0.0669

Final values : (Standard errors on 2nd line)

Zero Lambda a b c alpha beta gamma volume

0.000	1.54060	13.0031	5.5410	7.7994	90.00	98.46	90.00	555.842
0.0000	0.00000	0.0023	0.0011	0.0017	0.000	0.013	0.000	0.126

H K L 2Th (obs) 2Th_obs-shift 2Th (Calc) diff.

2	0		0		13.8275		13.8275		13.7590		0.0685
1	1		0		17.4933		17.4933		17.4127		0.0806
2	1		0		21.2188		21.2188		21.1479		0.0709
-2	1		1		23.1136		23.1136		23.1109		0.0027
2	1		1		25.0670		25.0670		25.0851		-0.0181
3	1		0		26.2020		26.2020		26.2615		-0.0595
-3	1		1		27.5340		27.5340		27.4522		0.0818
-1	1		2		28.1952		28.1952		28.1822		0.0130
-3	0		2		28.7170		28.7170		28.7436		-0.0266
3	1		1		29.9809		29.9809		29.9693		0.0116
0	2		0		32.2966		32.2966		32.2862		0.0104
-4	1		1		32.7942		32.7942		32.7863		0.0079
-3	1		2		33.0580		33.0580		33.0570		0.0010
-4	0		2		33.5228		33.5228		33.5298		-0.0070
0	2		1		34.4367		34.4367		34.3658		0.0709
-4	1		2		37.3570		37.3570		37.3498		0.0072
0	1		3		38.6073		38.6073		38.5659		0.0414
2	0		3		39.5815		39.5815		39.5790		0.0025
-1	2		2		40.0583		40.0583		40.0492		0.0091
1	2		2		41.2840		41.2840		41.2861		-0.0021
-6	0		0		42.1893		42.1893		42.1198		0.0695
-5	1		2		42.4538		42.4538		42.4882		-0.0344
4	2		0		43.1249		43.1249		43.0624		0.0625
-3	2		2		43.7581		43.7581		43.7660		-0.0079
6	1		0		45.3428		45.3428		45.3244		0.0184
-5	0		3		46.1500		46.1500		46.0559		0.0941
-1	0		4		46.5320		46.5320		46.5389		-0.0069
-4	2		2		47.2043		47.2043		47.2353		-0.0310
-6	1		2		48.2796		48.2796		48.2763		0.0033
1	0		4		48.6583		48.6583		48.7210		-0.0627
-2	2		3		48.8658		48.8658		48.8264		0.0394
-2	1		4		50.0812		50.0812		50.0770		0.0042
1	1		4		51.6388		51.6388		51.6054		0.0334
7	0		1		52.8950		52.8950		52.8484		0.0466
6	1		2		54.3891		54.3891		54.4700		-0.0809
0	3		2		55.0687		55.0687		55.0843		-0.0156
7	1		1		55.4909		55.4909		55.5787		-0.0878
1	3		2		56.0488		56.0488		56.0712		-0.0224
-6	2		2		56.6660		56.6660		56.6617		0.0043
-7	0		3		57.1486		57.1486		57.1195		0.0291
-5	1		4		57.7098		57.7098		57.7704		-0.0606
-3	3		2		58.0559		58.0559		58.0682		-0.0123
-8	0		2		58.8393		58.8393		58.8424		-0.0031
8	1		0		59.8705		59.8705		59.8526		0.0179
7	2		0		60.4161		60.4161		60.4044		0.0117
-8	1		2		61.3564		61.3564		61.3967		-0.0403
-2	3		3		62.3364		62.3364		62.2846		0.0518
-4	0		5		62.8288		62.8288		62.8015		0.0273
2	0		5		64.1094		64.1094		64.0462		0.0632
-7		0		4		64.6749		64.6749		64.6636		0.0113
-9		0		0		65.2306		65.2306		65.2333		-0.0027
-5		0		5		65.8244		65.8244		65.7892		0.0352
-9		1		1		66.9879		66.9879		66.9218		0.0661
3		0		5		67.4620		67.4620		67.4064		0.0556
1		4		0		67.9852		67.9852		68.0135		-0.0283
-5		1		5		68.1219		68.1219		68.1954		-0.0735
-9		1		2		68.6949		68.6949		68.6649		0.0300
-1		2		5		69.0624		69.0624		69.0646		-0.0022
4		2		4		69.2228		69.2228		69.1879		0.0349
6		2		3		69.8576		69.8576		69.8566		0.0010
8		2		1		70.2700		70.2700		70.2332		0.0368
-9		0		3		70.4508		70.4508		70.4621		-0.0113
9		1		1		70.8575		70.8575		70.8114		0.0461
1		3		4		71.7877		71.7877		71.8290		-0.0413
-3		4		1		72.1147		72.1147		72.0848		0.0299
-10		0		1		72.6359		72.6359		72.6712		-0.0353
3		4		1		73.3525		73.3525		73.3511		0.0014
2		2		5		73.5542		73.5542		73.5585		-0.0043
9		0		2		73.9923		73.9923		73.9868		0.0055
6		3		2		74.2391		74.2391		74.2221		0.0170
-3		4		2		75.0117		75.0117		75.0283		-0.0166
-4		0		6		75.3557		75.3557		75.4155		-0.0598
10		1		0		75.8212		75.8212		75.8790		-0.0578
3		4		2		77.5072		77.5072		77.5178		-0.0106
9		2		1		77.7216		77.7216		77.7181		0.0035
5		4		0		78.2756		78.2756		78.3334		-0.0578
5		1		5		78.6794		78.6794		78.7209		-0.0415
10		1		1		79.0492		79.0492		79.1137		-0.0645

Références bibliographiques