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Matéria condensada. Escola de Física. Universidade Júnior - 2005. Andreia Ribeiro Diogo Fernandes Filipe Afonso Judite Resende Susana Ribeiro. Tipo de Sólidos. Quanto à Estrutura. Cristalinos. Amorfos. Átomos ocupam posições periódicas no espaço. Átomos ocupam posição aleatórias. - PowerPoint PPT Presentation
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Escola de FsicaUniversidade Jnior - 2005Matria condensadaAndreia RibeiroDiogo FernandesFilipe AfonsoJudite ResendeSusana Ribeiro
Tipo de Slidos AmorfosCristalinostomos ocupam posies peridicas no espaotomos ocupam posio aleatriascristaisvidroQuanto EstruturaQuanto distribuio dos electres de valnciaInicosCovalentesMetais
Propriedades dos slidosExemplos estudados:As propriedades dos slidos dependem fortemente da sua estrutura.pticasElctricasEfeito piroelctrico aparecimento de polarizao elctrica por efeito de uma variao de temperatura.Reflexo, refraco, absoro. Polarizao da luz/radiao. Materiais anisotrpicos a luz propaga-se de modo diferente consoante a direco. MagnticasFerromagnetismo (caso do Gadolnio, manes). Induo magntica (transformadores, altifalantes, etc.).SupercondutividadeAusncia de resistncia elctrica. Levitao num campo magntico.
Transies de faseNuma transio de fase observa-se a alterao brusca de uma ou vrias propriedades de um sistema (um material), com uma variao muito pequena da temperatura.Exemplos:Lquido gs Lquido - slidoEnvolvem mudanas do estado fsicoFerromagnetismoFerroelectricidadeSupercondutividadeOcorrem para o mesmo estado fsico
Efeito PiroelctricoO cristal inicialmente no atrai a esferoviteAquecimento do cristalA variao de temperatura desloca cargas para a superfcie e o cristal passa a atrair a esferovite
O material piroelctrico tem uma polarizao espontnea: Em condies normais cargas externas (ar) aderem s superfcies e neutralizam o efeito.O mesmo acontece quando se liga o material a um circuito elctrico: os electres do circuito anulam a carga nas superfcies.Aumentando a temperatura a polarizao (Ps) varia (diminui), induzindo um movimento de cargas (uma corrente) no circuito.
Estudo experimental do efeito piroelctrico no TGSTGS sulfato de triglicina Tc = 325 K (52 C)Polarizao EspontneaCorrente Piroelctrica
Grfico1
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Polarizao
temperatura (K)
polarizao (u.a.)
Polarizacao
Temperatura (K)Polarizao
295.81.10E-09
295.81.10E-09
295.71.09E-09
295.71.09E-09
295.71.09E-09
295.71.09E-09
295.71.09E-09
295.71.09E-09
295.71.09E-09
295.71.09E-09
295.71.09E-09
295.71.09E-09
295.71.09E-09
295.71.09E-09
295.71.09E-09
295.71.09E-09
295.71.09E-09
295.71.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.71.08E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.81.09E-09
295.91.10E-09
295.91.10E-09
2961.11E-09
296.11.11E-09
296.31.13E-09
296.51.15E-09
296.71.17E-09
296.91.19E-09
297.11.21E-09
297.21.22E-09
297.41.25E-09
297.51.26E-09
297.61.27E-09
297.71.28E-09
297.71.28E-09
297.81.29E-09
297.81.29E-09
297.81.29E-09
297.81.29E-09
297.91.31E-09
297.91.31E-09
297.91.31E-09
297.91.31E-09
297.91.31E-09
297.91.31E-09
297.91.31E-09
2981.32E-09
2981.32E-09
2981.32E-09
298.11.33E-09
298.11.33E-09
298.21.35E-09
298.21.35E-09
298.31.36E-09
298.41.38E-09
298.41.38E-09
298.51.39E-09
298.61.40E-09
298.61.40E-09
298.61.40E-09
298.71.42E-09
298.71.42E-09
298.81.43E-09
298.81.43E-09
298.81.43E-09
298.91.45E-09
298.91.45E-09
298.91.45E-09
2991.46E-09
2991.46E-09
2991.46E-09
299.11.48E-09
299.11.48E-09
299.11.48E-09
299.21.49E-09
299.21.49E-09
299.21.49E-09
299.31.51E-09
299.31.51E-09
299.31.51E-09
299.41.52E-09
299.41.52E-09
299.41.52E-09
299.51.54E-09
299.51.54E-09
299.51.54E-09
299.61.55E-09
299.61.55E-09
299.61.55E-09
299.71.57E-09
299.71.57E-09
299.71.57E-09
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326.78.00E-13
326.83.50E-13
326.83.50E-13
326.83.50E-13
326.9-5.00E-14
326.9-5.00E-14
326.9-5.00E-14
326.9-5.00E-14
326.9-5.00E-14
326.9-5.00E-14
326.81.00E-13
326.71.50E-13
326.61.50E-13
326.51.50E-13
326.31.50E-13
326.15.00E-14
3268.27E-24
tempo versus temperatura
0.000928
0.000928
0.0009277
0.0009277
0.0009276
0.0009276
0.0009276
0.0009275
0.0009275
0.0009275
0.0009275
0.0009276
0.0009276
0.0009276
0.0009278
0.0009278
0.0009278
0.0009279
0.0009281
0.000928
0.000928
0.000928
0.000928
0.000928
0.000928
0.000928
0.0009279
0.000928
0.0009281
0.0009281
0.0009283
0.0009284
0.0009286
0.0009287
0.0009288
0.000929
0.0009291
0.0009291
0.0009292
0.0009292
0.0009291
0.0009291
0.0009292
0.0009291
0.0009291
0.0009292
0.0009293
0.0009294
0.0009295
0.0009295
0.0009296
0.0009298
0.00093
0.00093
0.00093
0.0009301
0.0009301
0.0009301
0.0009301
0.0009302
0.0009301
0.0009302
0.0009304
0.0009303
0.0009305
0.0009306
0.0009306
0.0009305
0.0009306
0.0009306
0.0009306
0.0009306
0.0009306
0.0009306
0.0009308
0.0009309
0.0009309
0.000931
0.0009311
0.0009311
0.0009313
0.0009315
0.0009314
0.0009315
0.0009316
0.0009325
0.0009346
0.0009383
0.0009432
0.0009491
0.0009562
0.0009638
0.000972
0.0009799
0.0009868
0.0009926
0.0009973
0.0010011
0.0010041
0.0010065
0.0010083
0.0010096
0.0010107
0.0010113
0.0010118
0.0010121
0.0010124
0.0010127
0.0010132
0.0010139
0.0010146
0.0010156
0.001017
0.0010186
0.0010205
0.0010227
0.001025
0.0010272
0.0010299
0.0010325
0.001035
0.0010373
0.0010395
0.0010413
0.0010431
0.0010448
0.0010463
0.0010476
0.001049
0.0010503
0.0010516
0.001053
0.0010545
0.0010557
0.001057
0.0010585
0.0010597
0.0010611
0.0010625
0.0010638
0.0010651
0.0010666
0.0010681
0.0010694
0.0010706
0.001072
0.0010733
0.0010746
0.001076
0.0010772
0.0010785
0.0010798
0.0010814
0.0010828
0.0010841
0.0010853
0.0010866
0.0010878
0.0010891
0.0010905
0.0010916
0.001093
0.0010944
0.0010958
0.0010973
0.0010987
0.0011
0.0011013
0.0011026
0.0011038
0.0011051
0.0011065
0.0011078
0.0011092
0.0011106
0.0011121
0.0011134
0.0011148
0.0011161
0.0011174
0.0011188
0.0011201
0.0011213
0.0011226
0.0011241
0.0011255
0.0011268
0.0011281
0.0011295
0.0011307
0.001132
0.0011334
0.0011347
0.0011361
0.0011376
0.001139
0.0011404
0.0011416
0.0011431
0.0011445
0.0011458
0.0011473
0.0011486
0.00115
0.0011513
0.0011529
0.0011542
0.0011555
0.0011568
0.0011581
0.0011595
0.0011608
0.0011622
0.0011636
0.0011651
0.0011666
0.0011681
0.0011696
0.0011708
0.001172
0.0011731
0.0011741
0.0011753
0.0011764
0.0011775
0.0011786
0.00118
0.0011816
0.001183
0.0011843
0.0011856
0.001187
0.0011884
0.0011899
0.0011914
0.0011928
0.0011943
0.001196
0.0011975
0.001199
0.0012004
0.0012019
0.0012033
0.0012047
0.0012061
0.0012075
0.001209
0.0012104
0.0012118
0.0012131
0.0012143
0.0012157
0.001217
0.0012183
0.0012196
0.001221
0.0012224
0.0012238
0.0012253
0.0012266
0.0012282
0.0012296
0.001231
0.0012323
0.0012338
0.0012351
0.0012365
0.0012381
0.0012394
0.0012408
0.0012422
0.0012436
0.001245
0.0012464
0.0012476
0.0012489
0.0012503
0.0012518
0.0012531
0.0012545
0.001256
0.0012572
0.0012586
0.00126
0.0012613
0.0012626
0.001264
0.0012655
0.0012669
0.0012683
0.0012698
0.0012711
0.0012725
0.0012738
0.0012751
0.0012761
0.0012773
0.0012786
0.0012798
0.001281
0.0012823
0.0012834
0.0012848
0.0012862
0.0012876
0.0012891
0.0012905
0.001292
0.0012936
0.0012953
0.0012968
0.0012984
0.0013
0.0013015
0.0013031
0.0013046
0.001306
0.0013076
0.0013091
0.0013105
0.0013118
0.0013133
0.0013146
0.0013158
0.001317
0.0013183
0.0013196
0.0013211
0.0013227
0.0013241
0.0013255
0.001327
0.0013285
0.0013298
0.0013313
0.0013326
0.001334
0.0013354
0.0013368
0.0013383
0.0013396
0.0013409
0.001342
0.0013433
0.0013446
0.0013459
0.0013473
0.0013486
0.00135
0.0013515
0.001353
0.0013543
0.0013556
0.001357
0.0013582
0.0013596
0.001361
0.0013623
0.0013638
0.0013653
0.0013666
0.0013679
0.0013691
0.0013701
0.0013713
0.0013725
0.0013735
0.0013747
0.001376
0.0013773
0.0013789
0.0013805
0.001382
0.0013835
0.0013851
0.0013863
0.0013878
0.0013893
0.0013907
0.001392
0.0013935
0.0013948
0.0013961
0.0013975
0.0013988
0.0014001
0.0014015
0.0014028
0.001404
0.0014053
0.001407
0.0014085
0.00141
0.0014114
0.0014128
0.0014141
0.0014156
0.001417
0.0014183
0.0014195
0.001421
0.0014225
0.001424
0.0014253
0.0014266
0.001428
0.0014293
0.0014309
0.0014322
0.0014334
0.0014348
0.0014363
0.0014378
0.0014391
0.0014405
0.0014417
0.0014431
0.0014446
0.001446
0.0014472
0.0014485
0.0014499
0.0014513
0.0014526
0.001454
0.0014552
0.0014565
0.0014578
0.0014592
0.0014605
0.0014618
0.001463
0.001464
0.0014651
0.0014663
0.0014674
0.0014684
0.0014696
0.0014708
0.0014721
0.0014735
0.001475
0.0014762
0.0014776
0.0014791
0.0014805
0.0014819
0.0014833
0.0014848
0.0014862
0.0014878
0.0014895
0.0014911
0.0014927
0.0014943
0.0014957
0.001497
0.0014984
0.0014997
0.001501
0.0015022
0.0015035
0.0015046
0.001506
0.0015072
0.0015086
0.0015099
0.0015111
0.0015123
0.0015135
0.0015147
0.001516
0.0015175
0.0015188
0.0015202
0.0015216
0.0015231
0.0015244
0.0015257
0.001527
0.001528
0.0015292
0.0015305
0.0015316
0.0015328
0.0015341
0.0015356
0.001537
0.0015384
0.0015398
0.0015411
0.0015426
0.0015441
0.0015455
0.0015469
0.0015484
0.0015498
0.0015513
0.0015526
0.0015538
0.0015551
0.0015565
0.0015578
0.0015591
0.0015605
0.001562
0.0015635
0.001565
0.0015665
0.0015677
0.0015691
0.0015703
0.0015715
0.0015726
0.0015738
0.0015748
0.0015759
0.0015771
0.0015782
0.0015795
0.0015805
0.0015816
0.0015829
0.0015843
0.0015855
0.001587
0.0015883
0.0015897
0.0015911
0.0015928
0.0015942
0.0015955
0.0015971
0.0015984
0.0015998
0.0016012
0.0016026
0.0016039
0.0016052
0.0016066
0.001608
0.0016093
0.0016107
0.001612
0.0016133
0.0016146
0.0016161
0.0016174
0.0016186
0.0016198
0.0016209
0.0016221
0.0016232
0.0016243
0.0016253
0.0016265
0.0016278
0.0016293
0.0016308
0.0016325
0.0016341
0.0016357
0.0016372
0.0016386
0.0016401
0.0016415
0.001643
0.0016442
0.0016456
0.001647
0.0016485
0.00165
0.0016513
0.0016526
0.0016538
0.001655
0.0016561
0.001657
0.001658
0.001659
0.0016599
0.001661
0.0016621
0.0016632
0.0016645
0.0016659
0.0016673
0.0016687
0.0016701
0.0016716
0.001673
0.0016746
0.001676
0.0016774
0.0016788
0.00168
0.0016813
0.0016825
0.0016838
0.001685
0.0016863
0.0016876
0.001689
0.0016904
0.0016918
0.0016931
0.0016943
0.0016953
0.0016963
0.0016973
0.0016981
0.001699
0.0017001
0.0017013
0.0017024
0.0017038
0.0017052
0.0017066
0.0017081
0.0017095
0.0017108
0.0017122
0.0017136
0.0017149
0.0017162
0.0017176
0.0017189
0.0017204
0.0017218
0.0017232
0.0017249
0.0017265
0.0017283
0.0017302
0.0017321
0.0017341
0.001736
0.0017379
0.0017396
0.0017413
0.0017428
0.0017442
0.0017458
0.0017471
0.0017485
0.0017498
0.0017511
0.0017523
0.0017535
0.0017547
0.001756
0.0017574
0.0017588
0.0017602
0.0017618
0.0017633
0.0017649
0.0017663
0.0017676
0.0017689
0.0017702
0.0017714
0.0017726
0.0017739
0.0017754
0.0017769
0.0017783
0.0017797
0.0017811
0.0017826
0.001784
0.0017854
0.0017866
0.0017879
0.0017893
0.0017905
0.0017919
0.0017931
0.0017943
0.0017958
0.001797
0.0017985
0.0017998
0.0018013
0.0018027
0.0018044
0.001806
0.0018074
0.001809
0.0018104
0.0018119
0.0018133
0.0018148
0.0018159
0.0018171
0.0018185
0.0018198
0.0018211
0.0018223
0.0018236
0.001825
0.0018264
0.0018278
0.0018291
0.0018305
0.0018316
0.001833
0.0018344
0.0018356
0.0018369
0.0018381
0.0018395
0.0018406
0.001842
0.0018432
0.0018445
0.0018458
0.0018471
0.0018485
0.0018498
0.0018511
0.0018525
0.0018538
0.0018551
0.0018565
0.0018578
0.0018591
0.0018605
0.001862
0.0018633
0.0018647
0.0018661
0.0018676
0.001869
0.0018705
0.0018718
0.0018732
0.0018746
0.0018762
0.0018775
0.0018789
0.0018803
0.0018817
0.0018832
0.0018845
0.001886
0.0018873
0.0018888
0.0018903
0.0018917
0.0018931
0.0018944
0.0018956
0.001897
0.0018983
0.0018995
0.0019006
0.0019019
0.0019032
0.0019046
0.001906
0.0019073
0.0019085
0.00191
0.0019114
0.0019127
0.0019141
0.0019156
0.001917
0.0019186
0.0019201
0.0019215
0.0019229
0.0019243
0.0019257
0.001927
0.0019284
0.0019298
0.0019311
0.0019326
0.001934
0.0019354
0.0019367
0.001938
0.0019393
0.0019405
0.0019416
0.0019428
0.0019439
0.001945
0.0019462
0.0019475
0.0019486
0.0019499
0.0019512
0.0019526
0.001954
0.0019555
0.001957
0.0019584
0.00196
0.0019614
0.0019628
0.0019641
0.0019653
0.0019665
0.0019678
0.0019691
0.0019703
0.0019717
0.0019731
0.0019745
0.001976
0.0019775
0.0019788
0.00198
0.0019813
0.0019825
0.0019838
0.0019851
0.0019864
0.0019877
0.0019892
0.0019908
0.0019921
0.0019935
0.0019947
0.0019961
0.0019975
0.0019987
0.0019998
0.0020011
0.0020025
0.0020038
0.0020052
0.0020064
0.0020075
0.0020088
0.00201
0.0020111
0.0020122
0.0020134
0.0020146
0.0020159
0.0020173
0.0020187
0.0020201
0.0020216
0.002023
0.0020243
0.0020256
0.002027
0.0020284
0.0020296
0.002031
0.0020322
0.0020335
0.0020347
0.0020358
0.002037
0.0020381
0.0020394
0.0020406
0.0020418
0.0020432
0.0020446
0.0020462
0.0020477
0.0020491
0.0020504
0.0020518
0.0020531
0.0020542
0.0020556
0.0020568
0.0020581
0.0020594
0.0020607
0.002062
0.0020632
0.0020644
0.0020655
0.0020667
0.0020679
0.0020691
0.0020705
0.0020718
0.0020733
0.0020749
0.0020764
0.0020777
0.0020791
0.0020803
0.0020816
0.0020831
0.0020843
0.0020855
0.0020866
0.0020879
0.002089
0.0020903
0.0020913
0.0020923
0.0020934
0.0020946
0.0020961
0.0020975
0.002099
0.0021004
0.0021021
0.0021036
0.0021051
0.0021065
0.0021078
0.0021091
0.0021104
0.0021116
0.0021127
0.0021139
0.0021152
0.0021165
0.0021177
0.002119
0.0021202
0.0021215
0.0021228
0.0021241
0.0021254
0.0021266
0.0021281
0.0021294
0.0021309
0.0021323
0.0021336
0.002135
0.0021362
0.0021374
0.0021385
0.0021397
0.0021406
0.0021418
0.0021429
0.0021439
0.0021451
0.0021465
0.0021477
0.0021488
0.0021502
0.0021516
0.002153
0.0021545
0.0021558
0.002157
0.0021583
0.0021598
0.0021611
0.0021623
0.0021634
0.0021646
0.0021657
0.0021669
0.0021681
0.0021691
0.0021703
0.0021716
0.0021728
0.0021741
0.0021755
0.0021768
0.002178
0.0021795
0.0021808
0.0021822
0.0021835
0.0021848
0.0021861
0.0021875
0.0021889
0.0021902
0.0021915
0.0021927
0.0021941
0.0021953
0.0021966
0.0021979
0.002199
0.0022003
0.0022015
0.0022026
0.0022033
0.0022033
0.0022018
0.0021987
0.0021945
0.0021892
0.002183
0.0021763
0.0021695
0.002163
tempo (s)
temperatura (V)
tempo vs temperatura
temperatura vs corrente
0
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000002
0.0000000002
0.0000000002
0.0000000002
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
0.0000000001
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