Post on 14-Oct-2015
description
NaClEu2+Longitud de OndaAbsorcinColumna B
1500-0.00001635962326
2499-0.0006752538611
3498-0.001097884611
4497-0.001968302531
5496-0.00160522142
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77424-0.0003509236849
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884130.003435131162
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1753260.02772104554
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1963050.04072210193
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2003010.04376294464
2013000.04216399416
2022990.04720648378
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2052960.04632272944
2062950.0494309701
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2982030.3640570939
2992020.3754169941
3002010.3875374198
3012000.403685838
KClEu2+v2Longitud de onda (nm)AbsorcinColumna B
1500-0.00001635962326
2499-0.0006752538611
3498-0.001097884611
4497-0.001968302531
5496-0.00160522142
6495-0.002134892391
7494-0.002066831803
8493-0.002162917284
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10491-0.00162616279
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14487-0.002326960675
15486-0.002481779549
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17484-0.002765839221
18483-0.002864444861
19482-0.002861101646
20481-0.00320355501
21480-0.003471581498
22479-0.003776243422
23478-0.003490122035
24477-0.004095154349
25476-0.003947887104
26475-0.004272157792
27474-0.004411986563
28473-0.004550899845
29472-0.004482242744
30471-0.004317576531
31470-0.004982061218
32469-0.004617701285
33468-0.004772780929
34467-0.005296457093
35466-0.005522405263
36465-0.005493369419
37464-0.006154936273
38463-0.005680841859
39462-0.005730558187
40461-0.006527801044
41460-0.006277065724
42459-0.00654748641
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44457-0.006330387667
45456-0.006604395807
46455-0.006919963751
47454-0.007006270345
48453-0.006952317897
49452-0.006770644337
50451-0.007250119001
51450-0.007267531473
52449-0.007562471088
53448-0.007539371494
54447-0.007496985607
55446-0.00710753398
56445-0.007216666825
57444-0.007195433136
58443-0.006702286657
59442-0.007337123621
60441-0.006903403439
61440-0.00655845087
62439-0.006345847622
63438-0.00641487306
64437-0.005961182993
65436-0.005690090358
66435-0.00540573895
67434-0.004651918076
68433-0.005324483383
69432-0.004126796965
70431-0.004295021761
71430-0.003127077827
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74427-0.001077382592
75426-0.001082133735
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77424-0.0003509236849
784230.0004808650119
794220.001140011591
804210.001621387666
814200.002368463436
824190.001890132902
834180.002323203953
844170.002763662953
854160.002013229067
864150.002918278566
874140.002124419902
884130.003435131162
894120.002170257038
904110.002193645807
914100.002688407665
924090.0009031161317
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944070.001423963346
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1004010.001551759429
1014000.00008872027684
1023990.0007197341183
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114387-0.0008884806302
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116385-0.0004224088334
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1203810.0000189748298
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1233780.0004580866371
1243770.0007385848439
1253760.0003822968865
1263750.001398175023
1273740.00271883118
1283730.003013253445
1293720.002972513903
1303710.003169965465
1313700.004408757202
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1333680.00453343289
1343670.003937814385
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1493520.01261412259
1503510.01525842119
1513500.01466577966
1523490.01634078659
1533480.02480144985
1543470.02432679571
1553460.02698363736
1563450.02544454485
1573440.02732414752
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1593420.02462553047
1603410.02673527598
1613400.02561176196
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1653360.0246644076
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1693320.02593138628
1703310.02415594086
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1753260.02772104554
1763250.0284079425
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1813200.02948480658
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1843170.02920026518
1853160.02643222548
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1913100.03427395225
1923090.03742636368
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1943070.03638949245
1953060.03611212224
1963050.04072210193
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1983030.04147747904
1993020.04376034066
2003010.04376294464
2013000.04216399416
2022990.04720648378
2032980.04579043761
2042970.04820190743
2052960.04632272944
2062950.0494309701
2072940.04820916802
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2242770.05729497597
2252760.05768917128
2262750.05811021104
2272740.05902618915
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2312700.06035668775
2322690.06054344028
2332680.06309289485
2342670.06431721896
2352660.06199595705
2362650.06447931379
2372640.06648765504
2382630.06810463965
2392620.06906530261
2402610.06875901669
2412600.07191562653
2422590.07170584798
2432580.07384088635
2442570.07691651583
2452560.0782808587
2462550.07994987816
2472540.0816469565
2482530.08326645195
2492520.08532629162
2502510.0875659138
2512500.08959233761
2522490.0936518237
2532480.09515464306
2542470.09717693925
2552460.09898837656
2562450.1002905369
2572440.102054745
2582430.1050298661
2592420.1074228436
2602410.1103612557
2612400.1107432023
2622390.1145906821
2632380.1184891388
2642370.1216036528
2652360.1250282824
2662350.1290379614
2672340.132108748
2682330.1355151981
2692320.1400289237
2702310.1443730444
2712300.1485939175
2722290.1521396339
2732280.1559622139
2742270.1641112715
2752260.1703832895
2762250.1773022562
2772240.1864684224
2782230.1943238974
2792220.2061472982
2802210.2180740088
2812200.2296334058
2822190.2438458949
2832180.2578284442
2842170.2724657357
2852160.2844181657
2862150.2945693731
2872140.3047797084
2882130.3129538596
2892120.3197737038
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2922090.3332926035
2932080.3361228406
2942070.3380402029
2952060.3426899612
2962050.34695521
2972040.3544877172
2982030.3640570939
2992020.3754169941
3002010.3875374198
3012000.403685838
KClEu2+ V2Nmero de Onda [nm] [u.a./mm]Columna E
10.0020.000797637820291382
20.002004008016032060.000150167080099252
30.002008032128514060.00124769375909984
40.00201207243460765-0.000816853500882032
50.00201612903225806-0.000626156610675935
60.00202020202020202-0.00181889919471423
70.00202429149797571-0.00128657708365667
80.00202839756592292-0.00134087009483341
90.00203252032520325-0.00116955873914463
100.00203665987780041-0.00107478968849228
110.00204081632653061-0.00129519064854496
120.00204498977505112-0.00189269233918618
130.00204918032786885-0.00162824366451577
140.00205338809034908-0.00149947024610919
150.00205761316872428-0.00168889838103626
160.00206185567010309-0.00182160726807358
170.00206611570247934-0.00186338873651171
180.0020703933747412-0.00213143480577886
190.0020746887966805-0.00187547785044553
200.00207900207900208-0.00222820766527561
210.00208333333333333-0.00323585461797073
220.00208768267223382-0.0019687997917626
230.00209205020920502-0.00265228640480488
240.00209643605870021-0.00300661111453984
250.00210084033613445-0.00347130746625691
260.00210526315789474-0.00286308388369187
270.00210970464135021-0.00344505284310406
280.00211416490486258-0.00330179589645528
290.00211864406779661-0.00313485638820325
300.00212314225053079-0.00324116483043415
310.00212765957446808-0.00390988455505041
320.00213219616204691-0.0038007690797374
330.00213675213675214-0.00393332647749431
340.00214132762312634-0.00342420303328862
350.00214592274678112-0.00413761991552683
360.0021505376344086-0.00396815085199024
370.0021551724137931-0.00431062098343902
380.00215982721382289-0.00454065419680406
390.00216450216450216-0.00496324005122195
400.00216919739696312-0.0046468754508252
410.00217391304347826-0.00486101072191057
420.00217864923747277-0.0056119657196309
430.00218340611353712-0.00426395118648618
440.00218818380743982-0.00573527678209187
450.00219298245614035-0.00571641094498862
460.0021978021978022-0.00571140545687236
470.00220264317180617-0.0058949471722935
480.0022075055187638-0.00612664917128862
490.00221238938053097-0.00590659162523415
500.00221729490022173-0.00582190112383008
510.00222222222222222-0.00641820299097805
520.0022271714922049-0.00615791582270325
530.00223214285714286-0.00652658346664959
540.00223713646532438-0.00683289349670894
550.00224215246636771-0.00733498911547642
560.00224719101123596-0.00692199616976911
570.00225225225225225-0.00613511516967317
580.00225733634311512-0.00695227148828049
590.00226244343891403-0.00729492863830813
600.00226757369614512-0.00687364930200325
610.00227272727272727-0.00760287040003821
620.00227790432801822-0.00734382653720732
630.00228310502283105-0.00716301382061545
640.0022883295194508-0.00731606399016585
650.00229357798165138-0.00672974563550732
660.00229885057471264-0.00759998969342439
670.00230414746543779-0.00769592140183089
680.0023094688221709-0.00755053030065691
690.00231481481481481-0.0071510995178626
700.00232018561484919-0.00605766479847724
710.00232558139534884-0.00628576155582439
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730.00233644859813084-0.00466750118623008
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KClEu2+ v2Energi [eV]AbsorcinColumna H
12.479683714-0.00001635962326
22.48465302004008-0.0006752538611
32.48964228313253-0.001097884611
42.49465162374246-0.001968302531
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2004.119075936877080.04376294464
2014.132806190.04216399416
2024.146628284280940.04720648378
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UEA: Laboratorio de Fsica Avanzada II
PROFESOR:
Dra. Sosa Rebeca
ALUMNO(S):
FARFAN ALTAMIRANO LUIS ANTONIO
JEAN CARLO VENEGAS CRUZ
SABINO
PRCTICA II:
ESPECTROSCOPAAbsorcin y Emisin por Radiacin
Marco Teorico.
La ecuacin (1) se refiere a la probabilidad de transicin de un estado a otro. Para que esta sea diferente de cero, deben serlo tambin todos los factores que aparecen en la misma. Por razones obvias, la amplitud del campo elctrico E no puede anularse. Tampoco debe anularse la integral del momento dipolar , que es el denominado momento dipolar de transicin. Para ello es necesario, aunque no suficiente , que el momento dipolar frmula sea diferente de cero. La mera presencia de la radiacin no garantiza, que se produzca la transicin. Se concluye que, para que la transicin est permitida el momento dipolar de la transicin el momento dipolar de la transicin ha de ser diferente de cero:
Consideremos el factor entre barras de la ecuacin (1). Las exponenciales imaginarias que aparecen aqu en los numeradores no pueden tomar valores absolutos superiores a la unidad puesto que, debido a la relacin de Euler se encuentran acotados por entre cero y la unidad. Si disminuye el valor de los denominadores, la magnitud de los sumandos entre barras aumenta, y con ello aumenta tambin la probabilidad de transicin. Supongamos, por ejemplo, que frmula toma valores muy prximos afrmula . El primer trmino entre barras se hace en este caso mucho ms pequeo que el segundo y puede despreciarse. Esta es la denominada aproximacin de la onda rotante, bajo cuyo efecto la probabilidad de transicin queda:
Podemos simplificar el mdulo al cuadrado del factor entre barras que aparece aqu usando la relacin:
frmula
de lo cual se deriva:
Figura (a)
En la figura (a), se representa la probabilidad de transicin frmula con respecto a la frecuencia frmulaen un instante de tiempo dado. Se nota que es una probabilidad oscilante con un mximo absoluto en frmulacuyo valor es mucho mayor que el de los restantes mximos locales. Qu significa exactamente la condicin frmula? Sustituyendo en ella las expresiones:
obtenemos ;
La expresin anterior es la propuesta original dada por Niels Bohr, para explicar el tomo de hidrgeno. Se puede notar que la probabilidad de que se produzca una transicin desde el estado estacionario inicial del sistema, con energa frmula, hasta el estado estacionario final , con energa , se incrementa cuando la frecuencia de la radiacin coincide exactamente con la diferenca entre los niveles de energa dividida por la constante de Planck h, es decir cuando . Se dice entonces que el tomo, o molecula y la radiacin entran en resonancia y la frecuencia se denomina frecuencia de resonancia o frecuencia natural de sistema. Dado que la frecuencia de la radiacin es positiva la condicin (7) implica que , de modo que el sistema absorbe una cantidad de energa de la radiacin en esta transicin. Por lo cual, se le denomina a este proceso como de absorcin de radiacin electromagntica.
Figura (b)
La absorcin de la radiacin no es el nico fenmeno que puede tener lugar cuando la radiacin incide sobre el sistema. Si nos fijamos en la ecuacin (1) que es la probabilidad de transicin. Ahora tomamos valores para cercanos a frmula, entonces es el segundo trmino entre barras el que se desprecia, un desarrollo similar al anterior nos da:
Ahora tenemos que la probabilidad mxima se alcanza ahora en , usando el par de ecuaciones en (6), se obtiene;
esta ltima dice, que el estado final tiene una energa inferior a la del estado inicial frmula. Este sistema pierde energa en este tipo de trasicin. Qu pasa con esta energa?, se demuestra con teora cuntica , que el sistema la emite en forma de radiacin electromagntica con frecuencia . El tomo, o molcula, que se encuentra en un determinado estado excitado y que se expone a una radiacin electromagntica de frecuencia , puede emitir radiacin con la misma frcuencia frmula, cayendo a un estado de energa inferior. Este fenomeno que se presenta en la figura (b) inciso (b), se denomina emisin estimulada de radiacin electromagntica.
Experimento
Objetivo(s)
Visualizar el Proceso de Absorcin y Emisin, a travs de radiacin,
de lo anterior enteder el proceso de espectroscopa,
entender las grficas de la espectroscopa.
Saber caracterizar ciertas muestras a travs de este proceso.
Material:
Cristales; NaCl con Eu++ y Kcl con Eu++.Muestras: Roja, verde y amarillo (no sabemos de que estan compuestos por determinar).
Proceso
Absorcin:
Consistio en tomar cada una de las muestras e introducirlas en el dispositivo que se encarga de hacer la espectroscopa de absorcin, la cual enva un haz de electromagntico que va desde la longitud de onda de 200nm a 800 nm (pertence a la regin del ultravioleta hasta el infrarrojo del espectro electromagntico), el cual incide sobre la muestra y sabemos que longitud de onda es absorbida debido a un detector . El procedimiento por el que sabemos a que longitud de onda absorbe es que el dispositivo enva dos haz de luz uno incide primero sobre la muestra y despus la longitud de onda que atraviesa la muestra se dirije al detector, el otro haz sobre otro detector (obviamente recibe todas longitudes de onda dado que no hay nada en su camino), entonces el dispositivo compara entre los dos detectores para ver que longitud de onda bajo de intensidad, y por ende se concluye que a esa longitud de onda absorbio.
Resultados
grficogrficogrfico
grficogrfico
grfico
grfico
grficogrfico
grfico
grficogrfico
grfico
grfico
Emisin:
El dispositivo por el cual podemos ver el espectro de emisin se compone (figura) principalmente por; fuente, muestra, selector de longitud de onda, detector y el sistema de lectura.
Durante el experimento operamos de la siguiente manera; consisto en poner a la muestra en su lugar, es decir, entre el selector de onda y el detector. Despus a ojimetro fuimos variando la longitud de onda sobre la muestra y nos fijamos en donde emitia por estimulacin. Una vez ajustado el selector de onda (longitud de excitacin), le asignamos al detector un intervalo de longitud de onda en el cual registro la intensidad de emisin vs longitud de onda. Las grficas se muestran a continuacin:
Anlisis de resultados
Conclusiones
Bibliografa
Ttulo: Espectroscopa.Autor: Alberto Requena Rodrguez, Jos Ziga Romn.Editorial: Pearson.
El libro de PozosAmarilloEnerga [eV]AbsorcinColumna H
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3452.718951440789470.2601189017
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3472.730929200440530.2699102163
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3502.749095026607540.286455512
3512.755204126666670.293163538
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3732.896826768691590.4598085582
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4183.237185005221931.081451774
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4713.757096536363643.534646034
4723.768516282674773.599341869
4733.780005661585373.921371698
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4823.8866515893416910
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4883.961156092651764.289981365
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4924.012433194174764.305706978
4934.025460574675334.502084255
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4954.05177077450984.331892014
4964.065055268852464.318779945
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5996.137830975247525.95553875
6006.168367447761195.936851501
6016.1992092854.729827404
VerdeLongitud de OndaAbsorcinColumna B
1800-0.0001366564102
27990.0004671822826
37980.001761483494
47970.003004964441
57960.003614756279
67950.004664711189
77940.005779588129
87930.007013228722
97920.008642524481
107910.0093886666
117900.01121491566
127890.01239166129
137880.01333485171
147870.01402111351
157860.01492064539
167850.0160753876
177840.0180659648
187830.01946725883
197820.02121552825
207810.0217352584
217800.02330695651
227790.02424626052
237780.02628465742
247770.02682486735
257760.02889889479
267750.03039235435
277740.03148295358
287730.03316370398
297720.03447341174
307710.03693884611
317700.03789567575
327690.04049593955
337680.04134048149
347670.04359872267
357660.04572204128
367650.04789899662
377640.0494639799
387630.05180784315
397620.05398960039
407610.05565881357
417600.05774992704
427590.05957784876
437580.06236040965
447570.06547869742
457560.06774235517
467550.07066649199
477540.0741802305
487530.07675836235
497520.0793903023
507510.08247601241
517500.0857244283
527490.08942081034
537480.09286711365
547470.09618021548
557460.09995797276
567450.103844896
577440.1076506078
587430.1114426255
597420.1158563495
607410.1200666428
617400.1253189445
627390.1296903491
637380.1343888193
647370.139008224
657360.1443235725
667350.150072962
677340.1558791101
687330.1615101993
697320.1675811261
707310.1738126576
717300.1806076616
727290.18755126
737280.194827646
747270.2027118802
757260.2110102773
767250.2192215025
777240.2271399945
787230.2366576791
797220.2462404966
807210.2562539876
817200.2677116394
827190.2781308889
837180.2905212045
847170.30349648
857160.3176124394
867150.3323106468
877140.3476698101
887130.3640089631
897120.3813787699
907110.3998805285
917100.4206975698
927090.4416297376
937080.4662156403
947070.4912810922
957060.518719852
967050.5470830798
977040.5788625479
987030.6125003099
997020.6478241086
1007010.6858519912
1017000.726680696
1026990.7703794837
1036980.816736877
1046970.8644446731
1056960.9155112505
1066950.9681657553
1076941.023324132
1086931.080138206
1096921.135077357
1106911.189352155
1116901.243411064
1126891.295842409
1136881.345193386
1146871.390750527
1156861.433638215
1166851.472788453
1176841.505122066
1186831.533426404
1196821.557493448
1206811.576175332
1216801.59117198
1226791.606147885
1236781.618019819
1246771.629001379
1256761.640243888
1266751.649658084
1276741.662237525
1286731.674758911
1296721.690592885
1306711.710697412
1316701.733122587
1326691.762694359
1336681.79826057
1346671.844390154
1356661.898643017
1366651.966020942
1376642.043995857
1386632.134341717
1396622.239232302
1406612.363592863
1416602.498774529
1426592.645075321
1436582.812345266
1446572.998840094
1456563.186580658
1466553.409841061
1476543.672552824
1486533.862981319
1496524.036214828
1506514.118480682
1516504.397229671
1526494.686061859
1536484.483782291
1546474.522916317
1556464.779363632
1566455.185338974
1576444.598940849
1586434.706316948
1596424.613645554
1606414.760529995
1616404.792099953
1626394.485623837
1636384.466041565
1646374.297448635
1656364.023529053
1666353.909053087
1676343.707486868
1686333.505762815
1696323.337743282
1706313.172593355
1716303.005958557
1726292.869230032
1736282.746721029
1746272.622517109
1756262.520821333
1766252.421818495
1776242.330309868
1786232.246585131
1796222.162328482
1806212.082649469
1816202.010630369
1826191.939949274
1836181.870461106
1846171.805843592
1856161.742529631
1866151.681811571
1876141.621291399
1886131.561736226
1896121.506317258
1906111.452517629
1916101.400323153
1926091.350979328
1936081.305088639
1946071.261845827
1956061.221979499
1966051.186837554
1976041.155872941
1986031.126901984
1996021.101160407
2006011.078983784
2016001.058815837
2025991.041487694
2035981.025113106
2045971.010852337
2055960.9981714487
2065950.9860278964
2075940.9743753076
2085930.9631347656
2095920.9506667852
2105910.9383966923
2115900.9244209528
2125890.9088827372
2135880.8926166296
2145870.8731793761
2155860.8523346782
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2185830.7810155749
2195820.7539653182
2205810.7263533473
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2275740.551183641
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2305710.4982320666
2315700.481993854
2325690.4672020674
2335680.4549382925
2345670.4399706721
2355660.4262582064
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2405610.3629866242
2415600.3524478674
2425590.3416693211
2435580.3306880295
2445570.3207128048
2455560.3110192418
2465550.3009383082
2475540.2924577594
2485530.2836387455
2495520.2751292288
2505510.2670080364
2515500.2593300343
2525490.2524350584
2535480.2457177341
2545470.2388166785
2555460.2291229069
2565450.2190971673
2575440.2121719718
2585430.2066095918
2595420.2014652491
2605410.1966267079
2615400.1917866468
2625390.1866554469
2635380.1818905771
2645370.1765657216
2655360.1719992161
2665350.1669930965
2675340.1628640294
2685330.1584485918
2695320.1544989645
2705310.1504289806
2715300.1469901353
2725290.1436114758
2735280.1406312734
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KCl Estao 330Longitud de Onda [nm]Intencidad de Emisin [u.a]Columna B
13608.6016306
2360.3830411.32434
3360.7660714.015733
4361.1491115.943148
5361.5321516.584842
6361.9151815.950618
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36373.4062930.464005
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38374.1723729.210098
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41375.3214828.523656
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107400.6019263.579761
108400.9849564.118378
109401.3679964.885294
110401.7510365.767155
111402.1340666.51221
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152417.8385