МИНОБРНАУКИ РОССИИ
САНКТ-ПЕТЕРБУРГСКИЙ ГОСУДАРСТВЕННЫЙ
ЭЛЕКТРОТЕХНИЧЕСКИЙ УНИВЕРСИТЕТ
"ЛЭТИ" ИМ. В.И. УЛЬЯНОВА (ЛЕНИНА)
Кафедра МНЭ
ОТЧЕТ
по лабораторной работе №2
по дисциплине "ФТТ"
Исследование собственного поглощения полупроводников
Студенты гр. 3206 |
Бурцев В.Е. Марахин А.А. Корепанов Д.М.
|
Преподаватель |
Кучерова О.В. |
Санкт-Петербург
2025
Цель: Исследовать явления собственного поглощения прямозонных и непрямозонных полупроводников на примере GaAs, Si и SiC - 4H. Оценка ширины запрещённой зоны материалов и сравнение с табличным значением.
Описание установки: Спектрофотометр СФ-56, функциональная схема представлена на рисунке 1.
Рисунок 1 - Функциональная схема спектрофотометра СФ-56
В качестве источников излучения используются дейтериевая лампа 1 – для работы в области спектра от 190 до 340 нм, и галогенная лампа 3 – для работы в области спектра от 340 до 1100 нм. Смена источников излучения производится автоматически введением в световой поток плоского зеркала 2, закреплённого на оси шагового двигателя.
При помощи эллиптического зеркала 4 и плоского зеркала 5 источник излучения проецируется на входную щель 6 монохроматора. Двойной монохроматор построен по горизонтальной схеме с постоянным углом отклонения 12° со сложением дисперсий и состоит из двух вогнутых дифракционных решёток 8 и сферического зеркала 7, выполняющего роль средней щели.
В качестве фотоприемника излучения используется фотодиод с приёмной площадкой размером 7 × 7 мм, который развернут на угол 19° для устранения многократных отражений от светочувствительной поверхности.
Зонная структура исследуемых материалов:
GaAs - Прямозонный полупроводник, чья зонная структура представлена на рисунке 2
Рисунок 2 - Зонная структура GaAs
Si -непрямозонный полупроводник, зонная структура представлена на рисунке 3
Рисунок 3 - Зонная структура Si
SiC - непрямозонный полупроводник, зонная структура на рисунке 4
Рисунок 4 - Зонная структура SiC- 4H
Обработка результатов
Спектр пропускания материалов:
Рисунок 5 - Спектры пропускания исследуемых материалов
Анализ коэффициентов поглощения:
Пример расчёта для GaAs:
Случай для T = 1.976744
Все последующие расчёты будут опущены и результаты занесены в таблицы 1-3:
Таблица 1 - Параметры GaAs:
GaAs |
|||||
lamda, нм |
T |
Погл, a |
Отраж, R |
hv, eV |
a^2 |
903 |
0.013225 |
1813.566609 |
0.31947 |
1.373200443 |
3289023.846 |
903.5 |
0.098873 |
1366.516116 |
|
1.372440509 |
1867366.295 |
904 |
0.21902 |
1189.776816 |
|
1.371681416 |
1415568.871 |
904.5 |
0.377705 |
1068.676723 |
|
1.370923162 |
1142069.938 |
905 |
0.580889 |
973.0220069 |
|
1.370165746 |
946771.8259 |
905.5 |
0.843781 |
890.0590528 |
|
1.369409166 |
792205.1174 |
906 |
1.128575 |
825.4328146 |
|
1.368653422 |
681339.3314 |
906.5 |
1.50692 |
761.1856907 |
|
1.367898511 |
579403.6557 |
907 |
1.919439 |
707.4156633 |
|
1.367144432 |
500436.9207 |
907.5 |
2.374421 |
660.144405 |
|
1.366391185 |
435790.6354 |
908 |
2.899449 |
615.751716 |
|
1.365638767 |
379150.1757 |
908.5 |
3.462235 |
576.3309125 |
|
1.364887177 |
332157.3208 |
909 |
4.08302 |
539.6814511 |
|
1.364136414 |
291256.0687 |
909.5 |
4.754442 |
505.8498004 |
|
1.363386476 |
255884.0206 |
910 |
5.424065 |
476.5684236 |
|
1.362637363 |
227117.4624 |
910.5 |
6.161816 |
448.2293114 |
|
1.361889072 |
200909.5156 |
911 |
6.937302 |
421.8867784 |
|
1.361141603 |
177988.4538 |
911.5 |
7.756546 |
397.0814019 |
|
1.360394953 |
157673.6398 |
912 |
8.616816 |
373.7083995 |
|
1.359649123 |
139657.9679 |
912.5 |
9.445542 |
353.3023459 |
|
1.35890411 |
124822.5476 |
913 |
10.31069 |
333.8271599 |
|
1.358159912 |
111440.5727 |
913.5 |
11.21368 |
315.1708843 |
|
1.35741653 |
99332.68629 |
914 |
12.03879 |
299.3932232 |
|
1.356673961 |
89636.30208 |
914.5 |
12.84721 |
284.9503941 |
|
1.355932203 |
81196.72711 |
915 |
13.66958 |
271.1623366 |
|
1.355191257 |
73529.01279 |
915.5 |
14.47253 |
258.4780157 |
|
1.35445112 |
66810.88462 |
916 |
15.27766 |
246.4470689 |
|
1.35371179 |
60736.15777 |
916.5 |
16.0483 |
235.5112257 |
|
1.352973268 |
55465.53744 |
917 |
16.79933 |
225.3476525 |
|
1.352235551 |
50781.56447 |
917.5 |
17.53323 |
215.8456674 |
|
1.351498638 |
46589.35213 |
918 |
18.20956 |
207.4348244 |
|
1.350762527 |
43029.20638 |
918.5 |
18.87028 |
199.5144985 |
|
1.350027218 |
39806.0351 |
919 |
19.48934 |
192.341287 |
|
1.349292709 |
36995.17067 |
919.5 |
20.06738 |
185.8461843 |
|
1.348558999 |
34538.80423 |
920 |
20.64206 |
179.5717109 |
|
1.347826087 |
32245.99934 |
920.5 |
21.20227 |
173.6211532 |
|
1.347093971 |
30144.30483 |
921 |
21.7278 |
168.1801987 |
|
1.346362649 |
28284.57923 |
921.5 |
22.27296 |
162.6733453 |
|
1.345632122 |
26462.61729 |
922 |
22.7713 |
157.7561044 |
|
1.344902386 |
24886.98846 |
922.5 |
23.2532 |
153.1023742 |
|
1.344173442 |
23440.33698 |
923 |
23.72337 |
148.6539561 |
|
1.343445287 |
22097.99867 |
923.5 |
24.12308 |
144.9409738 |
|
1.342717921 |
21007.88589 |
924 |
24.50821 |
141.4211727 |
|
1.341991342 |
19999.9481 |
924.5 |
24.86886 |
138.1748938 |
|
1.341265549 |
19092.30129 |
925 |
25.20203 |
135.217532 |
|
1.340540541 |
18283.78095 |
925.5 |
25.50134 |
132.5938758 |
|
1.339816316 |
17581.13589 |
926 |
25.8141 |
129.8850192 |
|
1.339092873 |
16870.11822 |
926.5 |
26.06875 |
127.7035915 |
|
1.33837021 |
16308.20728 |
927 |
26.34104 |
125.3945026 |
|
1.337648328 |
15723.78127 |
927.5 |
26.57221 |
123.4527795 |
|
1.336927224 |
15240.58877 |
928 |
26.79703 |
121.5805289 |
|
1.336206897 |
14781.82502 |
928.5 |
26.98919 |
119.9926723 |
|
1.335487345 |
14398.2414 |
929 |
27.17539 |
118.4648125 |
|
1.334768568 |
14033.91181 |
929.5 |
27.35193 |
117.025855 |
|
1.334050565 |
13695.05074 |
930 |
27.51515 |
115.7037064 |
|
1.333333333 |
13387.34767 |
930.5 |
27.65259 |
114.5964547 |
|
1.332616873 |
13132.34744 |
931 |
27.81101 |
113.3269901 |
|
1.331901182 |
12843.00668 |
931.5 |
27.94115 |
112.2895396 |
|
1.331186259 |
12608.9407 |
932 |
28.07081 |
111.2607099 |
|
1.330472103 |
12378.94556 |
932.5 |
28.18685 |
110.3439741 |
|
1.329758713 |
12175.79263 |
933 |
28.29504 |
109.4926481 |
|
1.329046088 |
11988.63999 |
933.5 |
28.38811 |
108.7628989 |
|
1.328334226 |
11829.36818 |
934 |
28.47991 |
108.0454476 |
|
1.327623126 |
11673.81875 |
934.5 |
28.52233 |
107.7147003 |
|
1.326912788 |
11602.45667 |
935 |
28.64122 |
106.7903337 |
|
1.326203209 |
11404.17538 |
935.5 |
28.67153 |
106.5552881 |
|
1.325494388 |
11354.02942 |
936 |
28.74207 |
106.0092306 |
|
1.324786325 |
11237.95697 |
936.5 |
28.79314 |
105.6147281 |
|
1.324079018 |
11154.47079 |
937 |
28.83962 |
105.2562899 |
|
1.323372465 |
11078.88656 |
937.5 |
28.85755 |
105.1181741 |
|
1.322666667 |
11049.83053 |
938 |
28.90589 |
104.7462356 |
|
1.32196162 |
10971.77387 |
938.5 |
28.95206 |
104.3915738 |
|
1.321257326 |
10897.60068 |
939 |
28.98379 |
104.1481628 |
|
1.320553781 |
10846.83981 |
939.5 |
29.02952 |
103.7978217 |
|
1.319850985 |
10773.98778 |
940 |
29.03916 |
103.7240393 |
|
1.319148936 |
10758.67633 |
940.5 |
29.07204 |
103.4725674 |
|
1.318447634 |
10706.5722 |
941 |
29.10385 |
103.2295495 |
|
1.317747078 |
10656.3399 |
941.5 |
29.11207 |
103.1667946 |
|
1.317047265 |
10643.38752 |
942 |
29.1033 |
103.2337491 |
|
1.316348195 |
10657.20695 |
942.5 |
29.12559 |
103.0636159 |
|
1.315649867 |
10622.10892 |
943 |
29.14842 |
102.889496 |
|
1.31495228 |
10586.24838 |
943.5 |
29.12538 |
103.0652182 |
|
1.314255432 |
10622.43919 |
944 |
29.15966 |
102.8038208 |
|
1.313559322 |
10568.62556 |
944.5 |
29.13456 |
102.9951872 |
|
1.312863949 |
10608.00858 |
945 |
29.1585 |
102.8126612 |
|
1.312169312 |
10570.4433 |
945.5 |
29.1474 |
102.8972724 |
|
1.31147541 |
10587.84866 |
946 |
29.15624 |
102.8298857 |
|
1.310782241 |
10573.98539 |
946.5 |
29.13586 |
102.9852717 |
|
1.310089805 |
10605.96619 |
947 |
29.14796 |
102.8930029 |
|
1.309398099 |
10586.97005 |
947.5 |
29.14663 |
102.903143 |
|
1.308707124 |
10589.05684 |
948 |
29.12651 |
103.0565966 |
|
1.308016878 |
10620.6621 |
948.5 |
29.10983 |
103.183894 |
|
1.307327359 |
10646.91598 |
949 |
29.12745 |
103.0494249 |
|
1.306638567 |
10619.18398 |
949.5 |
29.11377 |
103.1538184 |
|
1.3059505 |
10640.71024 |
950 |
29.10072 |
103.2534499 |
|
1.305263158 |
10661.27492 |
950.5 |
29.09075 |
103.329597 |
|
1.304576539 |
10677.00562 |
951 |
29.07105 |
103.4801349 |
|
1.303890641 |
10708.13832 |
951.5 |
29.06465 |
103.5290626 |
|
1.303205465 |
10718.2668 |
952 |
29.04455 |
103.6827961 |
|
1.302521008 |
10750.12221 |
952.5 |
29.03513 |
103.754881 |
|
1.30183727 |
10765.07533 |
953 |
29.01796 |
103.8863316 |
|
1.30115425 |
10792.36989 |
953.5 |
29.00644 |
103.9745703 |
|
1.300471945 |
10810.71127 |
954 |
29.00207 |
104.008052 |
|
1.299790356 |
10817.67488 |
954.5 |
28.9913 |
104.0905902 |
|
1.299109481 |
10834.85096 |
955 |
28.97817 |
104.1912562 |
|
1.298429319 |
10855.81787 |
955.5 |
28.96872 |
104.2637363 |
|
1.297749869 |
10870.92672 |
956 |
28.93032 |
104.5585024 |
|
1.29707113 |
10932.48042 |
956.5 |
28.93593 |
104.5154145 |
|
1.2963931 |
10923.47187 |
957 |
28.90696 |
104.7380098 |
|
1.295715778 |
10970.0507 |
957.5 |
28.90311 |
104.7676087 |
|
1.295039164 |
10976.25182 |
958 |
28.87865 |
104.9557495 |
|
1.294363257 |
11015.70936 |
958.5 |
28.85302 |
105.1530609 |
|
1.293688054 |
11057.16621 |
959 |
28.85308 |
105.1525987 |
|
1.293013556 |
11057.06902 |
959.5 |
28.8146 |
105.4491639 |
|
1.29233976 |
11119.52617 |
960 |
28.81125 |
105.4750011 |
|
1.291666667 |
11124.97585 |
960.5 |
28.80331 |
105.536251 |
|
1.290994274 |
11137.90028 |
961 |
28.76125 |
105.8609879 |
|
1.290322581 |
11206.54877 |
961.5 |
28.75711 |
105.8929777 |
|
1.289651586 |
11213.32273 |
962 |
28.74031 |
106.0228386 |
|
1.288981289 |
11240.84231 |
962.5 |
28.71385 |
106.2275235 |
|
1.288311688 |
11284.28676 |
963 |
28.6916 |
106.3997875 |
|
1.287642783 |
11320.91478 |
963.5 |
28.67097 |
106.5596285 |
|
1.286974572 |
11354.95442 |
964 |
28.6632 |
106.6198602 |
|
1.286307054 |
11367.79458 |
964.5 |
28.63075 |
106.8715835 |
|
1.285640228 |
11421.53536 |
965 |
28.63562 |
106.8337874 |
|
1.284974093 |
11413.45813 |
965.5 |
28.59659 |
107.1368802 |
|
1.284308648 |
11478.31109 |
966 |
28.57168 |
107.3305385 |
|
1.283643892 |
11519.8445 |
966.5 |
28.55714 |
107.4436552 |
|
1.282979824 |
11544.13904 |
967 |
28.53649 |
107.6044048 |
|
1.282316443 |
11578.70793 |
967.5 |
28.53431 |
107.6213817 |
|
1.281653747 |
11582.36181 |
968 |
28.50804 |
107.826064 |
|
1.280991736 |
11626.46008 |
968.5 |
28.48159 |
108.0323394 |
|
1.280330408 |
11670.98635 |
969 |
28.46105 |
108.1926566 |
|
1.279669763 |
11705.65095 |
969.5 |
28.43517 |
108.3948181 |
|
1.279009799 |
11749.43659 |
970 |
28.40899 |
108.5995103 |
|
1.278350515 |
11793.85364 |
GaAs является прямозонным полупроводником, поэтому для него построим график a^2 = f(hv)
Рисунок 6 - Зависимость квадрата коэффициента поглощения от энергии падающих фотонов
С помощью экстраполяции линейной части графика до нуля, можно оценить ширину запрещённой зоны материала:
Рисунок 7 - Экстраполяция линечной части графика для GaAs
Ширина запрещённой зоны GaAs ΔWGaAs ≈ 1.37 eV
Таблица 2 - Параметры Si
Si |
|||||
lamda, нм |
T |
Погл, a |
Отраж, R |
hv, eV |
sqrt(a) |
1003 |
0.013149 |
7971.949018 |
0.30423 |
1.236291127 |
89.28577165 |
1003.5 |
0.01991 |
7569.156389 |
|
1.235675137 |
87.00089878 |
1004 |
0.025239 |
7338.895905 |
|
1.235059761 |
85.66735612 |
1004.5 |
0.038198 |
6936.572855 |
|
1.234444998 |
83.28609041 |
1005 |
0.049508 |
6684.775657 |
|
1.233830846 |
81.76047735 |
1005.5 |
0.053899 |
6602.273082 |
|
1.233217305 |
81.25437269 |
1006 |
0.07612 |
6267.128307 |
|
1.232604374 |
79.16519631 |
1006.5 |
0.092305 |
6079.956202 |
|
1.231992052 |
77.97407391 |
1007 |
0.101787 |
5985.020198 |
|
1.231380338 |
77.36291229 |
1007.5 |
0.11705 |
5849.370879 |
|
1.230769231 |
76.4811799 |
1008 |
0.120042 |
5824.865551 |
|
1.23015873 |
76.3208068 |
1008.5 |
0.151 |
5602.11006 |
|
1.229548835 |
74.84724484 |
1009 |
0.163886 |
5522.604014 |
|
1.228939544 |
74.31422485 |
1009.5 |
0.182204 |
5419.734233 |
|
1.228330857 |
73.61884428 |
1010 |
0.190914 |
5374.398188 |
|
1.227722772 |
73.31028706 |
1010.5 |
0.208822 |
5287.35047 |
|
1.227115289 |
72.71416967 |
1011 |
0.236531 |
5166.382448 |
|
1.226508408 |
71.87755177 |
1011.5 |
0.254188 |
5096.484513 |
|
1.225902126 |
71.38966671 |
1012 |
0.277307 |
5011.968935 |
|
1.225296443 |
70.79526068 |
1012.5 |
0.300636 |
4933.546571 |
|
1.224691358 |
70.23920964 |
1013 |
0.324314 |
4859.942735 |
|
1.224086871 |
69.71328951 |
1013.5 |
0.343173 |
4805.06651 |
|
1.22348298 |
69.31858705 |
1014 |
0.362658 |
4751.449473 |
|
1.222879684 |
68.93075854 |
1014.5 |
0.387271 |
4687.697566 |
|
1.222276984 |
68.46676249 |
1015 |
0.413634 |
4623.758907 |
|
1.221674877 |
67.99822723 |
1015.5 |
0.44548 |
4551.748395 |
|
1.221073363 |
67.46664653 |
1016 |
0.474113 |
4491.269426 |
|
1.220472441 |
67.01693388 |
1016.5 |
0.509463 |
4421.452397 |
|
1.21987211 |
66.49400272 |
1017 |
0.5399 |
4365.115788 |
|
1.21927237 |
66.06902291 |
1017.5 |
0.56703 |
4317.515521 |
|
1.218673219 |
65.70780411 |
1018 |
0.590863 |
4277.542737 |
|
1.218074656 |
65.40292606 |
1018.5 |
0.631398 |
4213.123097 |
|
1.217476681 |
64.90857491 |
1019 |
0.679994 |
4141.135169 |
|
1.216879293 |
64.35165242 |
1019.5 |
0.708988 |
4100.596697 |
|
1.216282491 |
64.03590162 |
1020 |
0.755406 |
4039.027035 |
|
1.215686275 |
63.55334008 |
1020.5 |
0.792973 |
3991.906821 |
|
1.215090642 |
63.18153861 |
1021 |
0.839639 |
3936.389477 |
|
1.214495593 |
62.74065251 |
1021.5 |
0.882388 |
3888.176049 |
|
1.213901126 |
62.35524075 |
1022 |
0.93425 |
3832.727311 |
|
1.213307241 |
61.90902447 |
1022.5 |
0.988581 |
3777.847201 |
|
1.212713936 |
61.46419447 |
1023 |
1.03855 |
3729.973214 |
|
1.212121212 |
61.07350665 |
1023.5 |
1.097444 |
3676.421437 |
|
1.211529067 |
60.63350095 |
1024 |
1.158006 |
3624.270252 |
|
1.2109375 |
60.20191236 |
1024.5 |
1.208569 |
3582.777577 |
|
1.21034651 |
59.85630775 |
1025 |
1.275895 |
3530.145657 |
|
1.209756098 |
59.41502888 |
1025.5 |
1.352556 |
3473.496878 |
|
1.20916626 |
58.93637992 |
1026 |
1.408924 |
3433.855949 |
|
1.208576998 |
58.59911219 |
1026.5 |
1.474967 |
3389.380877 |
|
1.20798831 |
58.21838951 |
1027 |
1.560137 |
3334.877944 |
|
1.207400195 |
57.74840209 |
1027.5 |
1.653802 |
3278.272855 |
|
1.206812652 |
57.25620363 |
1028 |
1.730022 |
3234.527956 |
|
1.206225681 |
56.87291056 |
1028.5 |
1.81481 |
3188.074894 |
|
1.205639281 |
56.46304007 |
1029 |
1.891547 |
3147.8669 |
|
1.20505345 |
56.10585442 |
1029.5 |
1.996437 |
3095.469736 |
|
1.204468188 |
55.63694578 |
1030 |
2.09465 |
3048.846063 |
|
1.203883495 |
55.21635684 |
1030.5 |
2.184712 |
3007.974668 |
|
1.203299369 |
54.84500586 |
1031 |
2.299903 |
2958.088322 |
|
1.20271581 |
54.38831053 |
1031.5 |
2.406218 |
2914.215242 |
|
1.202132816 |
53.98347194 |
1032 |
2.503398 |
2875.775642 |
|
1.201550388 |
53.62625888 |
1032.5 |
2.61325 |
2834.080837 |
|
1.200968523 |
53.23608586 |
1033 |
2.751907 |
2783.887179 |
|
1.200387222 |
52.7625547 |
1033.5 |
2.876879 |
2740.768829 |
|
1.199806483 |
52.35235266 |
1034 |
2.988078 |
2703.949076 |
|
1.199226306 |
51.99951035 |
1034.5 |
3.125181 |
2660.393901 |
|
1.198646689 |
51.5790064 |
1035 |
3.241685 |
2624.858897 |
|
1.198067633 |
51.23337678 |
1035.5 |
3.393309 |
2580.478028 |
|
1.197489136 |
50.79840576 |
1036 |
3.525103 |
2543.483752 |
|
1.196911197 |
50.43296295 |
1036.5 |
3.682935 |
2500.959157 |
|
1.196333816 |
50.00959065 |
1037 |
3.816031 |
2466.492274 |
|
1.195756991 |
49.66379239 |
1037.5 |
3.961316 |
2430.215171 |
|
1.195180723 |
49.29721261 |
1038 |
4.097571 |
2397.382098 |
|
1.19460501 |
48.96306871 |
1038.5 |
4.272708 |
2356.747672 |
|
1.194029851 |
48.5463456 |
1039 |
4.426683 |
2322.376092 |
|
1.193455245 |
48.19103747 |
1039.5 |
4.607721 |
2283.460724 |
|
1.192881193 |
47.78557024 |
1040 |
4.778096 |
2248.209494 |
|
1.192307692 |
47.41528756 |
1040.5 |
4.941509 |
2215.560359 |
|
1.191734743 |
47.06973931 |
1041 |
5.141697 |
2177.004601 |
|
1.191162344 |
46.6583819 |
1041.5 |
5.311616 |
2145.43864 |
|
1.190590494 |
46.31887996 |
1042 |
5.492765 |
2112.879756 |
|
1.190019194 |
45.96607179 |
1042.5 |
5.703895 |
2076.260821 |
|
1.189448441 |
45.5660051 |
1043 |
5.920081 |
2040.143484 |
|
1.188878236 |
45.16794753 |
1043.5 |
6.10971 |
2009.532632 |
|
1.188308577 |
44.82781092 |
1044 |
6.300421 |
1979.690741 |
|
1.187739464 |
44.49371575 |
1044.5 |
6.526527 |
1945.459195 |
|
1.187170895 |
44.10735988 |
1045 |
6.753201 |
1912.311947 |
|
1.186602871 |
43.7299891 |
1045.5 |
6.981976 |
1879.96694 |
|
1.18603539 |
43.35858554 |
1046 |
7.214097 |
1848.214458 |
|
1.185468451 |
42.99086482 |
1046.5 |
7.421528 |
1820.692188 |
|
1.184902054 |
42.66956982 |
1047 |
7.675259 |
1788.054253 |
|
1.184336199 |
42.28539054 |
1047.5 |
7.902452 |
1759.732844 |
|
1.183770883 |
41.94916976 |
1048 |
8.117058 |
1733.718589 |
|
1.183206107 |
41.6379465 |
1048.5 |
8.383428 |
1702.369922 |
|
1.182641869 |
41.25978577 |
1049 |
8.631533 |
1674.054169 |
|
1.18207817 |
40.91520707 |
1049.5 |
8.856652 |
1649.057383 |
|
1.181515007 |
40.60858756 |
1050 |
9.117136 |
1620.914758 |
|
1.180952381 |
40.26058566 |
1050.5 |
9.347777 |
1596.659572 |
|
1.18039029 |
39.95822283 |
1051 |
9.613023 |
1569.494348 |
|
1.179828735 |
39.61684424 |
1051.5 |
9.867074 |
1544.16948 |
|
1.179267713 |
39.29592192 |
1052 |
10.12198 |
1519.40643 |
|
1.178707224 |
38.97956426 |
1052.5 |
10.40282 |
1492.835919 |
|
1.178147268 |
38.63723488 |
1053 |
10.70506 |
1465.030479 |
|
1.177587844 |
38.27571657 |
1053.5 |
10.99023 |
1439.506042 |
|
1.177028951 |
37.9408229 |
1054 |
11.26513 |
1415.5202 |
|
1.176470588 |
37.62339963 |
1054.5 |
11.54928 |
1391.334779 |
|
1.175912755 |
37.30060025 |
1055 |
11.86728 |
1364.963968 |
|
1.17535545 |
36.94541876 |
1055.5 |
12.1472 |
1342.329349 |
|
1.174798674 |
36.6378131 |
1056 |
12.47088 |
1316.797663 |
|
1.174242424 |
36.28770678 |
1056.5 |
12.74703 |
1295.533608 |
|
1.173686701 |
35.99352176 |
1057 |
13.07833 |
1270.62258 |
|
1.173131504 |
35.64579331 |
1057.5 |
13.35382 |
1250.383916 |
|
1.172576832 |
35.36076804 |
1058 |
13.67672 |
1227.187187 |
|
1.172022684 |
35.03123159 |
1058.5 |
14.00659 |
1204.048531 |
|
1.17146906 |
34.69940246 |
1059 |
14.30567 |
1183.535881 |
|
1.170915958 |
34.40255632 |
1059.5 |
14.65037 |
1160.419737 |
|
1.170363379 |
34.06493412 |
1060 |
15.02782 |
1135.723078 |
|
1.169811321 |
33.70049076 |
1060.5 |
15.37855 |
1113.324503 |
|
1.169259783 |
33.3665177 |
1061 |
15.78874 |
1087.767856 |
|
1.168708765 |
32.98132588 |
1061.5 |
16.14452 |
1066.133249 |
|
1.168158267 |
32.65169596 |
1062 |
16.47947 |
1046.196656 |
|
1.167608286 |
32.34496339 |
1062.5 |
16.79499 |
1027.783779 |
|
1.167058824 |
32.05906703 |
1063 |
17.13282 |
1008.448541 |
|
1.166509878 |
31.75607881 |
1063.5 |
17.42308 |
992.1380154 |
|
1.165961448 |
31.49822242 |
1064 |
17.71587 |
975.9583222 |
|
1.165413534 |
31.24033166 |
1064.5 |
17.94013 |
963.7454533 |
|
1.164866134 |
31.04424992 |
1065 |
18.24774 |
947.2394982 |
|
1.164319249 |
30.77725618 |
1065.5 |
18.52273 |
932.7177605 |
|
1.163772877 |
30.5404283 |
1066 |
18.76887 |
919.9012365 |
|
1.163227017 |
30.32987366 |
1066.5 |
19.0069 |
907.6658726 |
|
1.162681669 |
30.12749363 |
1067 |
19.24824 |
895.4158174 |
|
1.162136832 |
29.92349942 |
1067.5 |
19.49873 |
882.8627036 |
|
1.161592506 |
29.71300563 |
1068 |
19.73637 |
871.1017412 |
|
1.161048689 |
29.51443276 |
1068.5 |
20.03023 |
856.7527063 |
|
1.160505381 |
29.27033834 |
1069 |
20.27097 |
845.1535016 |
|
1.159962582 |
29.0715239 |
1069.5 |
20.48786 |
834.8207809 |
|
1.15942029 |
28.89326532 |
1070 |
20.71548 |
824.0938573 |
|
1.158878505 |
28.70703498 |
1070.5 |
21.00295 |
810.7136076 |
|
1.158337226 |
28.47303299 |
1071 |
21.2546 |
799.1500751 |
|
1.157796452 |
28.26924256 |
1071.5 |
21.51102 |
787.5073378 |
|
1.157256183 |
28.06256114 |
1072 |
21.71337 |
778.417204 |
|
1.156716418 |
27.9001291 |
1072.5 |
21.95773 |
767.5521149 |
|
1.156177156 |
27.70473091 |
1073 |
22.24593 |
754.8920868 |
|
1.155638397 |
27.47529958 |
1073.5 |
22.4546 |
745.827599 |
|
1.15510014 |
27.30984436 |
1074 |
22.68842 |
735.7701532 |
|
1.154562384 |
27.12508347 |
1074.5 |
22.98131 |
723.3171292 |
|
1.154025128 |
26.89455575 |
1075 |
23.20208 |
714.0349418 |
|
1.153488372 |
26.72143226 |
1075.5 |
23.45432 |
703.537107 |
|
1.152952115 |
26.52427392 |
1076 |
23.70921 |
693.0430482 |
|
1.152416357 |
26.32571078 |
1076.5 |
23.92915 |
684.0781931 |
|
1.151881096 |
26.15488851 |
1077 |
24.13715 |
675.6755073 |
|
1.151346332 |
25.99375901 |
1077.5 |
24.38263 |
665.8513848 |
|
1.150812065 |
25.80409628 |
1078 |
24.62528 |
656.237245 |
|
1.150278293 |
25.61712796 |
1078.5 |
24.8473 |
647.5231313 |
|
1.149745016 |
25.44647581 |
1079 |
25.12575 |
636.7035954 |
|
1.149212234 |
25.23298626 |
1079.5 |
25.34818 |
628.1465896 |
|
1.148679944 |
25.06285278 |
1080 |
25.55274 |
620.343076 |
|
1.148148148 |
24.90668738 |
1080.5 |
25.76684 |
612.2422582 |
|
1.147616844 |
24.74352962 |
1081 |
26.05952 |
601.2764732 |
|
1.147086031 |
24.52093949 |
1081.5 |
26.25214 |
594.126612 |
|
1.14655571 |
24.37471255 |
1082 |
26.4777 |
585.8204375 |
|
1.146025878 |
24.20372776 |
1082.5 |
26.73041 |
576.5981081 |
|
1.145496536 |
24.01245735 |
1083 |
26.9505 |
568.636961 |
|
1.144967682 |
23.84610998 |
1083.5 |
27.2134 |
559.2120591 |
|
1.144439317 |
23.64766498 |
1084 |
27.43286 |
551.4139369 |
|
1.143911439 |
23.48220469 |
1084.5 |
27.70396 |
541.8665599 |
|
1.143384048 |
23.2780274 |
1085 |
27.90734 |
534.7652265 |
|
1.142857143 |
23.12499138 |
1085.5 |
28.14563 |
526.5105021 |
|
1.142330723 |
22.94581666 |
1086 |
28.30498 |
521.0292806 |
|
1.141804788 |
22.82606582 |
1086.5 |
28.55239 |
512.5798782 |
|
1.141279337 |
22.64022699 |
1087 |
28.77787 |
504.9429427 |
|
1.14075437 |
22.47093551 |
1087.5 |
28.9169 |
500.2638064 |
|
1.140229885 |
22.36657789 |
1088 |
29.17395 |
491.6715846 |
|
1.139705882 |
22.17366872 |
1088.5 |
29.43771 |
482.9334121 |
|
1.139182361 |
21.975746 |
1089 |
29.63663 |
476.3949744 |
|
1.13865932 |
21.82647416 |
1089.5 |
29.82908 |
470.1108382 |
|
1.13813676 |
21.68203953 |
1090 |
30.06728 |
462.388721 |
|
1.137614679 |
21.50322583 |
1090.5 |
30.22314 |
457.368994 |
|
1.137093077 |
21.38618699 |
1091 |
30.45554 |
449.9320434 |
|
1.136571952 |
21.21160162 |
1091.5 |
30.66388 |
443.3131119 |
|
1.136051306 |
21.05500206 |
1092 |
30.94764 |
434.3700735 |
|
1.135531136 |
20.84154681 |
1092.5 |
31.12371 |
428.8621474 |
|
1.135011442 |
20.70898712 |
1093 |
31.29694 |
423.4733891 |
|
1.134492223 |
20.57846907 |
1093.5 |
31.54887 |
415.6894638 |
|
1.13397348 |
20.38846399 |
1094 |
31.74304 |
409.7324575 |
|
1.13345521 |
20.24184916 |
1094.5 |
31.98872 |
402.2471643 |
|
1.132937414 |
20.05610043 |
1095 |
32.1475 |
397.4400318 |
|
1.132420091 |
19.93589807 |
1095.5 |
32.41724 |
389.3277086 |
|
1.131903241 |
19.73138892 |
1096 |
32.61253 |
383.4964559 |
|
1.131386861 |
19.58306554 |
1096.5 |
32.75884 |
379.150554 |
|
1.130870953 |
19.47178867 |
1097 |
32.9889 |
372.3560958 |
|
1.130355515 |
19.29653067 |
1097.5 |
33.22322 |
365.4843601 |
|
1.129840547 |
19.11764525 |
1098 |
33.41403 |
359.9243187 |
|
1.129326047 |
18.97167148 |
1098.5 |
33.53783 |
356.333849 |
|
1.128812016 |
18.87680717 |
1099 |
33.82617 |
348.0224822 |
|
1.128298453 |
18.65536068 |
1099.5 |
34.01493 |
342.6197806 |
|
1.127785357 |
18.50999137 |
1100 |
34.01803 |
342.5313027 |
|
1.127272727 |
18.50760121 |
Si является непрямозонным полупроводником, поэтому для него строим зависимость sqrt(a)=f(hv)
Рисунок 8 - Зависимость корня коэффициента поглощения от энергии падающих фотонов для Si
Оценка ширины запрещённой зоны:
Рисунок 8 - Экстраполяция линейной части графика для Si
Ширина запрещённой зоны Si ΔWSi ≈ 1.075 eV
Таблица 3 - Параметры SiC
SiC |
|||||
lamda, нм |
T |
Погл, a |
Отраж, R |
hv, eV |
sqrt(a) |
371 |
1.976744 |
3285.226401 |
0.2111 |
3.342318059 |
57.31689456 |
371.5 |
3.953488 |
2625.08623 |
|
3.33781965 |
51.23559534 |
372 |
6.549708 |
2144.303143 |
|
3.333333333 |
46.30662094 |
372.5 |
9.241706 |
1816.392636 |
|
3.32885906 |
42.61915808 |
373 |
12.32558 |
1542.154277 |
|
3.324396783 |
39.27027218 |
373.5 |
14.18605 |
1408.266363 |
|
3.319946452 |
37.52687521 |
374 |
16.64753 |
1255.882773 |
|
3.315508021 |
35.43843637 |
374.5 |
18.80631 |
1139.758397 |
|
3.311081442 |
33.760308 |
375 |
20.7483 |
1046.166145 |
|
3.306666667 |
32.34449173 |
375.5 |
21.42857 |
1015.441609 |
|
3.302263648 |
31.86599456 |
376 |
22.10884 |
985.6773711 |
|
3.29787234 |
31.39549922 |
376.5 |
24.30011 |
895.674182 |
|
3.293492696 |
29.92781619 |
377 |
26.43805 |
815.366198 |
|
3.289124668 |
28.5546178 |
377.5 |
26.32147 |
819.5750593 |
|
3.284768212 |
28.62822138 |
378 |
26.65245 |
807.6739899 |
|
3.28042328 |
28.41960573 |
378.5 |
28.66175 |
738.4526543 |
|
3.276089828 |
27.17448535 |
379 |
29.41788 |
713.6534433 |
|
3.27176781 |
26.71429287 |
379.5 |
30.0106 |
694.6553482 |
|
3.267457181 |
26.35631515 |
380 |
31.54506 |
647.1635889 |
|
3.263157895 |
25.43941015 |
380.5 |
31.98294 |
634.034412 |
|
3.258869908 |
25.18003995 |
381 |
32.83262 |
609.0630808 |
|
3.254593176 |
24.67920341 |
381.5 |
32.97985 |
604.8019041 |
|
3.250327654 |
24.59272055 |
382 |
33.09353 |
601.5247364 |
|
3.246073298 |
24.52600123 |
382.5 |
33.09353 |
601.5247364 |
|
3.241830065 |
24.52600123 |
383 |
33.95445 |
577.0655692 |
|
3.237597911 |
24.0221891 |
383.5 |
35.28205 |
540.5375545 |
|
3.233376793 |
23.24946353 |
384 |
35.20983 |
542.4890126 |
|
3.229166667 |
23.29139353 |
384.5 |
35.46392 |
535.6408825 |
|
3.22496749 |
23.14391675 |
385 |
36.11971 |
518.1905414 |
|
3.220779221 |
22.76379892 |
385.5 |
36.52263 |
507.6254283 |
|
3.216601816 |
22.53054434 |
386 |
37.14575 |
491.5137187 |
|
3.212435233 |
22.17010868 |
386.5 |
37.25296 |
488.7689176 |
|
3.208279431 |
22.10811882 |
387 |
37.6938 |
477.5648986 |
|
3.204134367 |
21.85325831 |
387.5 |
38.57281 |
455.6106134 |
|
3.2 |
21.34503721 |
388 |
38.71893 |
452.0096576 |
|
3.195876289 |
21.26051875 |
388.5 |
39.13043 |
441.9412791 |
|
3.191763192 |
21.02239946 |
389 |
38.70647 |
452.3161892 |
|
3.187660668 |
21.26772647 |
389.5 |
39.84064 |
424.8107346 |
|
3.183568678 |
20.61093726 |
390 |
39.37008 |
436.1263155 |
|
3.179487179 |
20.88363751 |
390.5 |
40.05282 |
419.7520811 |
|
3.175416133 |
20.48785204 |
391 |
41.86441 |
377.6216244 |
|
3.171355499 |
19.43248889 |
391.5 |
41.20562 |
392.7277271 |
|
3.167305236 |
19.81735924 |
392 |
41.98535 |
374.8743051 |
|
3.163265306 |
19.36167103 |
392.5 |
42.06788 |
373.004061 |
|
3.159235669 |
19.31331305 |
393 |
43.12068 |
349.4629255 |
|
3.155216285 |
18.6939275 |
393.5 |
42.94385 |
353.3764951 |
|
3.151207116 |
18.79831096 |
394 |
43.68499 |
337.0801937 |
|
3.147208122 |
18.35974384 |
394.5 |
43.59534 |
339.0366708 |
|
3.143219265 |
18.41294845 |
395 |
44.72183 |
314.740018 |
|
3.139240506 |
17.74091368 |
395.5 |
44.61538 |
317.0096434 |
|
3.135271808 |
17.80476463 |
396 |
45.26607 |
303.2200219 |
|
3.131313131 |
17.413214 |
396.5 |
44.84848 |
312.0467343 |
|
3.127364439 |
17.66484459 |
397 |
45.29296 |
302.6544345 |
|
3.123425693 |
17.39696624 |
397.5 |
45.57207 |
296.8035613 |
|
3.119496855 |
17.22798773 |
398 |
45.92357 |
289.4859765 |
|
3.115577889 |
17.01428742 |
398.5 |
45.52286 |
297.8325246 |
|
3.111668758 |
17.25782503 |
399 |
46.22931 |
283.166434 |
|
3.107769424 |
16.82754985 |
399.5 |
46.83544 |
270.760559 |
|
3.10387985 |
16.45480352 |
400 |
47.00652 |
267.2880502 |
|
3.1 |
16.34894646 |
400.5 |
47.09302 |
265.5371176 |
|
3.096129838 |
16.29530968 |
401 |
45.8073 |
291.9002868 |
|
3.092269327 |
17.08508961 |
401.5 |
47.17403 |
263.9002275 |
|
3.088418431 |
16.24500623 |
402 |
47.18232 |
263.7328782 |
|
3.084577114 |
16.23985462 |
402.5 |
47.43104 |
258.7256205 |
|
3.080745342 |
16.08495012 |
403 |
48.0085 |
247.2006568 |
|
3.076923077 |
15.72261609 |
403.5 |
48.38205 |
239.8189439 |
|
3.073110285 |
15.48608872 |
404 |
48.10256 |
245.3365429 |
|
3.069306931 |
15.66322262 |
404.5 |
48.26546 |
242.1167402 |
|
3.065512979 |
15.56010091 |
405 |
49.30556 |
221.8113473 |
|
3.061728395 |
14.89333231 |
405.5 |
49.21951 |
223.474932 |
|
3.057953144 |
14.94907797 |
406 |
49.54524 |
217.1929301 |
|
3.054187192 |
14.73746688 |
406.5 |
49.83514 |
211.6365815 |
|
3.050430504 |
14.54773458 |
407 |
49.86124 |
211.1379246 |
|
3.046683047 |
14.53058583 |
407.5 |
49.8861 |
210.6632013 |
|
3.042944785 |
14.51424133 |
408 |
49.97757 |
208.9185366 |
|
3.039215686 |
14.45401455 |
408.5 |
50.3323 |
202.1826191 |
|
3.035495716 |
14.21909347 |
409 |
50.19557 |
204.7733261 |
|
3.031784841 |
14.30990308 |
409.5 |
50.44968 |
199.9641565 |
|
3.028083028 |
14.14086831 |
410 |
50.5476 |
198.1174301 |
|
3.024390244 |
14.07541936 |
410.5 |
50.97389 |
190.1192642 |
|
3.020706456 |
13.78837424 |
411 |
51.14192 |
186.9850048 |
|
3.01703163 |
13.67424604 |
411.5 |
51.42171 |
181.788868 |
|
3.013365735 |
13.48291022 |
412 |
51.30126 |
184.022338 |
|
3.009708738 |
13.56548333 |
412.5 |
51.73219 |
176.0557618 |
|
3.006060606 |
13.2686006 |
413 |
51.98473 |
171.4178539 |
|
3.002421308 |
13.09266413 |
413.5 |
51.90782 |
172.8279191 |
|
2.99879081 |
13.14640328 |
414 |
52.08024 |
169.6696781 |
|
2.995169082 |
13.02573139 |
414.5 |
51.80855 |
174.6510235 |
|
2.991556092 |
13.2155599 |
415 |
51.90922 |
172.8022329 |
|
2.987951807 |
13.14542631 |
415.5 |
52.38944 |
164.032118 |
|
2.984356197 |
12.80750241 |
416 |
52.1511 |
168.3747562 |
|
2.980769231 |
12.97592988 |
416.5 |
52.71345 |
158.160121 |
|
2.977190876 |
12.57617275 |
417 |
52.55798 |
160.9731686 |
|
2.973621103 |
12.68752019 |
417.5 |
52.55376 |
161.0496405 |
|
2.97005988 |
12.6905335 |
418 |
53.05648 |
151.9826302 |
|
2.966507177 |
12.32812355 |
418.5 |
53.13217 |
150.6249385 |
|
2.962962963 |
12.2729352 |
419 |
53.33549 |
146.9874333 |
|
2.959427208 |
12.1238374 |
419.5 |
53.40582 |
145.7324185 |
|
2.955899881 |
12.07196829 |
420 |
53.47068 |
144.576478 |
|
2.952380952 |
12.02399593 |
420.5 |
54.01942 |
134.8525302 |
|
2.948870392 |
11.61260221 |
421 |
54.4759 |
126.838444 |
|
2.945368171 |
11.2622575 |
421.5 |
54.50433 |
126.341543 |
|
2.941874259 |
11.2401754 |
422 |
54.46761 |
126.9833859 |
|
2.938388626 |
11.26869051 |
422.5 |
54.1926 |
131.8041909 |
|
2.934911243 |
11.48060063 |
423 |
54.83871 |
120.5166065 |
|
2.93144208 |
10.97800558 |
423.5 |
55.01433 |
117.4714966 |
|
2.92798111 |
10.83842685 |
424 |
55.01412 |
117.4751321 |
|
2.924528302 |
10.83859456 |
424.5 |
54.87805 |
119.8336357 |
|
2.921083628 |
10.94685506 |
425 |
55.19972 |
114.2675118 |
|
2.917647059 |
10.6895983 |
425.5 |
55.15832 |
114.9820692 |
|
2.914218566 |
10.72296923 |
426 |
55.26759 |
113.0972452 |
|
2.910798122 |
10.63471886 |
426.5 |
55.31561 |
112.2701153 |
|
2.907385698 |
10.59575931 |
427 |
55.24154 |
113.5462493 |
|
2.903981265 |
10.65580824 |
427.5 |
55.45101 |
109.9417524 |
|
2.900584795 |
10.48531127 |
428 |
55.33762 |
111.8912397 |
|
2.897196262 |
10.57786555 |
428.5 |
55.40412 |
110.7474371 |
|
2.893815636 |
10.52366082 |
429 |
55.46826 |
109.6455266 |
|
2.89044289 |
10.47117599 |
429.5 |
55.75249 |
104.777805 |
|
2.887077998 |
10.23610302 |
430 |
55.32045 |
112.1867876 |
|
2.88372093 |
10.59182645 |
430.5 |
56.13236 |
98.31075705 |
|
2.880371661 |
9.915178115 |
431 |
55.77153 |
104.4526134 |
|
2.877030162 |
10.22020613 |
431.5 |
56.08528 |
99.10988449 |
|
2.873696408 |
9.955394743 |
432 |
55.6692 |
106.2016538 |
|
2.87037037 |
10.30541866 |
432.5 |
55.6692 |
106.2016538 |
|
2.867052023 |
10.30541866 |
433 |
56.26248 |
96.10560484 |
|
2.863741339 |
9.803346614 |
433.5 |
56.16901 |
97.68913038 |
|
2.860438293 |
9.883781178 |
434 |
56.33881 |
94.81440739 |
|
2.857142857 |
9.73726899 |
434.5 |
56.72998 |
88.22471375 |
|
2.853855006 |
9.392801166 |
435 |
56.27036 |
95.97222579 |
|
2.850574713 |
9.796541522 |
435.5 |
56.62554 |
89.9796648 |
|
2.847301952 |
9.485761161 |
436 |
56.55977 |
91.08648869 |
|
2.844036697 |
9.543924177 |
436.5 |
56.71563 |
88.46565153 |
|
2.840778923 |
9.405618083 |
437 |
56.90952 |
85.21536192 |
|
2.837528604 |
9.231216709 |
437.5 |
56.67178 |
89.20227488 |
|
2.834285714 |
9.444695595 |
438 |
56.34479 |
94.71332368 |
|
2.831050228 |
9.732077049 |
438.5 |
56.75676 |
87.77523811 |
|
2.827822121 |
9.368844011 |
439 |
56.7474 |
87.93231228 |
|
2.824601367 |
9.377223058 |
439.5 |
56.86035 |
86.03857767 |
|
2.821387941 |
9.275698231 |
440 |
56.81763 |
86.75438413 |
|
2.818181818 |
9.314203354 |
440.5 |
57.00935 |
83.54617024 |
|
2.814982974 |
9.140359415 |
441 |
56.9974 |
83.74582425 |
|
2.811791383 |
9.151274461 |
441.5 |
56.86871 |
85.89856236 |
|
2.808607022 |
9.268147731 |
442 |
57.0403 |
83.02926921 |
|
2.805429864 |
9.112039794 |
442.5 |
57.37237 |
77.50089493 |
|
2.802259887 |
8.803459259 |
443 |
57.15256 |
81.15674723 |
|
2.799097065 |
9.00870397 |
443.5 |
57.18127 |
80.67844859 |
|
2.795941375 |
8.982118268 |
444 |
57.53059 |
74.87805894 |
|
2.792792793 |
8.653210903 |
444.5 |
57.5011 |
75.36637159 |
|
2.789651294 |
8.681380742 |
445 |
57.53097 |
74.87176831 |
|
2.786516854 |
8.65284741 |
445.5 |
57.5431 |
74.67098666 |
|
2.78338945 |
8.641237565 |
446 |
57.5667 |
74.28046924 |
|
2.780269058 |
8.618611793 |
446.5 |
57.68906 |
72.25829912 |
|
2.777155655 |
8.500488169 |
447 |
57.65935 |
72.74890387 |
|
2.774049217 |
8.529296798 |
447.5 |
57.71381 |
71.84979231 |
|
2.770949721 |
8.47642568 |
448 |
57.69625 |
72.13960777 |
|
2.767857143 |
8.493503857 |
448.5 |
57.80805 |
70.29593228 |
|
2.76477146 |
8.384266949 |
449 |
57.7626 |
71.04501029 |
|
2.76169265 |
8.428820219 |
449.5 |
58.03305 |
66.59627846 |
|
2.75862069 |
8.160654291 |
450 |
57.92177 |
68.42424878 |
|
2.755555556 |
8.271895114 |
450.5 |
57.90297 |
68.73341869 |
|
2.752497225 |
8.290562025 |
451 |
57.91409 |
68.55053585 |
|
2.749445676 |
8.279525098 |
451.5 |
57.89575 |
68.85217977 |
|
2.746400886 |
8.29772136 |
452 |
57.82972 |
69.93898842 |
|
2.743362832 |
8.362953331 |
452.5 |
57.95412 |
67.89248114 |
|
2.740331492 |
8.239689384 |
453 |
58.08673 |
65.71574263 |
|
2.737306843 |
8.106524695 |
453.5 |
58.00332 |
67.0843028 |
|
2.734288864 |
8.190500766 |
454 |
57.98503 |
67.38466137 |
|
2.731277533 |
8.208816076 |
454.5 |
57.94224 |
68.08772947 |
|
2.728272827 |
8.251528917 |
455 |
57.90037 |
68.77618413 |
|
2.725274725 |
8.293140788 |
455.5 |
57.98974 |
67.30730465 |
|
2.722283205 |
8.204102915 |
456 |
58.27048 |
62.70776151 |
|
2.719298246 |
7.91882324 |
456.5 |
58.17583 |
64.25599223 |
|
2.716319825 |
8.015983547 |
457 |
58.18307 |
64.1374755 |
|
2.713347921 |
8.00858761 |
457.5 |
58.05574 |
66.22398542 |
|
2.710382514 |
8.137812078 |
458 |
58.13953 |
64.8504353 |
|
2.707423581 |
8.052976797 |
458.5 |
58.15662 |
64.57052594 |
|
2.704471101 |
8.035578756 |
459 |
58.2659 |
62.78262062 |
|
2.701525054 |
7.923548487 |
459.5 |
58.27197 |
62.68340906 |
|
2.698585419 |
7.91728546 |
460 |
58.38469 |
60.84292409 |
|
2.695652174 |
7.800187439 |
460.5 |
58.35876 |
61.2659926 |
|
2.692725299 |
7.827259584 |
461 |
58.36644 |
61.14066772 |
|
2.689804772 |
7.819249818 |
461.5 |
58.49858 |
58.98694075 |
|
2.686890574 |
7.680295616 |
462 |
58.59594 |
57.40319745 |
|
2.683982684 |
7.576489784 |
462.5 |
58.55578 |
58.0561562 |
|
2.681081081 |
7.619459049 |
463 |
58.59911 |
57.35167569 |
|
2.678185745 |
7.573088913 |
463.5 |
58.6332 |
56.79778969 |
|
2.675296656 |
7.536430832 |
464 |
58.65067 |
56.51406618 |
|
2.672413793 |
7.5175838 |
464.5 |
58.63347 |
56.79340408 |
|
2.669537137 |
7.536139866 |
465 |
58.72597 |
55.29211443 |
|
2.666666667 |
7.435866757 |
465.5 |
58.83805 |
53.47620358 |
|
2.663802363 |
7.312742549 |
466 |
58.78971 |
54.25897965 |
|
2.660944206 |
7.366069485 |
466.5 |
58.94767 |
51.70349242 |
|
2.658092176 |
7.190514058 |
467 |
58.80118 |
54.07318619 |
|
2.655246253 |
7.353447231 |
467.5 |
58.87355 |
52.9017568 |
|
2.652406417 |
7.273359389 |
468 |
58.84711 |
53.32956536 |
|
2.64957265 |
7.302709453 |
468.5 |
58.82273 |
53.72421275 |
|
2.646744931 |
7.329680263 |
469 |
58.84501 |
53.36355234 |
|
2.643923241 |
7.305036094 |
469.5 |
58.88026 |
52.79321719 |
|
2.641107561 |
7.265894108 |
470 |
58.94849 |
51.69024428 |
|
2.638297872 |
7.189592776 |
470.5 |
58.79106 |
54.23711019 |
|
2.635494155 |
7.364584862 |
471 |
58.75552 |
54.81301159 |
|
2.632696391 |
7.403580998 |
471.5 |
58.79022 |
54.2507178 |
|
2.62990456 |
7.365508658 |
472 |
58.91423 |
52.24391507 |
|
2.627118644 |
7.227995232 |
472.5 |
58.98408 |
51.11542023 |
|
2.624338624 |
7.149504894 |
473 |
59.06082 |
49.87715031 |
|
2.621564482 |
7.062375684 |
473.5 |
59.14165 |
48.57462314 |
|
2.618796199 |
6.969549708 |
474 |
58.97436 |
51.27237624 |
|
2.616033755 |
7.160473185 |
474.5 |
59.09091 |
49.39205976 |
|
2.613277134 |
7.027948475 |
475 |
59.00673 |
50.74977431 |
|
2.610526316 |
7.123887584 |
475.5 |
59.1207 |
48.91204889 |
|
2.607781283 |
6.993714956 |
476 |
59.11348 |
49.02836365 |
|
2.605042017 |
7.002025682 |
476.5 |
59.13135 |
48.74050248 |
|
2.602308499 |
6.981439857 |
477 |
59.1832 |
47.90576228 |
|
2.599580713 |
6.921398867 |
477.5 |
59.26821 |
46.53875587 |
|
2.596858639 |
6.821931975 |
478 |
59.26687 |
46.56028857 |
|
2.594142259 |
6.823509989 |
478.5 |
59.3842 |
44.67673382 |
|
2.591431557 |
6.684065665 |
479 |
59.39217 |
44.5489226 |
|
2.588726514 |
6.674497929 |
479.5 |
59.4 |
44.4233732 |
|
2.586027112 |
6.665086136 |
480 |
59.42013 |
44.10067655 |
|
2.583333333 |
6.640834025 |
480.5 |
59.48219 |
43.10650306 |
|
2.580645161 |
6.565554284 |
481 |
59.40273 |
44.37960316 |
|
2.577962578 |
6.661801795 |
481.5 |
59.43771 |
43.81894743 |
|
2.575285566 |
6.619588162 |
482 |
59.51443 |
42.59044197 |
|
2.572614108 |
6.526135301 |
482.5 |
59.49995 |
42.82218668 |
|
2.569948187 |
6.54386634 |
483 |
59.5126 |
42.61972704 |
|
2.567287785 |
6.528378592 |
483.5 |
59.53985 |
42.18374472 |
|
2.564632885 |
6.49490144 |
484 |
59.58827 |
41.4095482 |
|
2.561983471 |
6.435025112 |
484.5 |
59.59379 |
41.32132782 |
|
2.559339525 |
6.428166754 |
485 |
59.70225 |
39.58958104 |
|
2.556701031 |
6.292025194 |
485.5 |
59.70674 |
39.51795845 |
|
2.554067971 |
6.286331081 |
486 |
59.7726 |
38.46800595 |
|
2.551440329 |
6.202258133 |
486.5 |
59.7174 |
39.3479362 |
|
2.548818088 |
6.272793333 |
487 |
59.8646 |
37.00325979 |
|
2.546201232 |
6.083030478 |
487.5 |
59.9026 |
36.39891273 |
|
2.543589744 |
6.033151145 |
488 |
59.8049 |
37.95349603 |
|
2.540983607 |
6.160640878 |
488.5 |
59.8276 |
37.5920717 |
|
2.538382805 |
6.131237371 |
489 |
59.8035 |
37.975791 |
|
2.535787321 |
6.162450081 |
489.5 |
59.755 |
38.74847515 |
|
2.53319714 |
6.224827319 |
490 |
59.7588 |
38.68791231 |
|
2.530612245 |
6.219960796 |
490.5 |
59.8144 |
37.80222246 |
|
2.52803262 |
6.148351198 |
491 |
59.8914 |
36.57699622 |
|
2.525458248 |
6.047891882 |
491.5 |
59.9725 |
35.28823277 |
|
2.522889115 |
5.940389951 |
492 |
59.8802 |
36.75511302 |
|
2.520325203 |
6.062599526 |
492.5 |
59.928 |
35.99516817 |
|
2.517766497 |
5.999597334 |
493 |
59.9268 |
36.01423887 |
|
2.515212982 |
6.001186455 |
493.5 |
59.8584 |
37.10190018 |
|
2.51266464 |
6.091132915 |
494 |
59.9157 |
36.1906609 |
|
2.510121457 |
6.015867427 |
494.5 |
59.9233 |
36.06986391 |
|
2.507583418 |
6.00581917 |
495 |
59.8911 |
36.58176677 |
|
2.505050505 |
6.048286267 |
495.5 |
59.7598 |
38.67197536 |
|
2.502522704 |
6.218679551 |
496 |
59.8704 |
36.91099254 |
|
2.5 |
6.075441757 |
496.5 |
59.9153 |
36.19701906 |
|
2.497482377 |
6.016395853 |
497 |
59.9294 |
35.97291951 |
|
2.494969819 |
5.997742868 |
497.5 |
59.9616 |
35.46134371 |
|
2.492462312 |
5.954942796 |
498 |
59.9684 |
35.3533442 |
|
2.489959839 |
5.945867825 |
498.5 |
59.995 |
34.93099315 |
|
2.487462387 |
5.910244762 |
499 |
60.0262 |
34.43584252 |
|
2.48496994 |
5.868206074 |
499.5 |
59.9983 |
34.87860927 |
|
2.482482482 |
5.905811483 |
500 |
59.9789 |
35.1866043 |
|
2.48 |
5.93182976 |
SiC - непрямозонный полупроводник, поэтому для него строим зависимость sqrt(a)=f(hv)
Рисунок 9 - Зависимость корня коэффициента поглощения от энергии падающих фотонов для SiС - 4H
Оценка ширины запрещённой зоны:
Рисунок 10 - Экстраполяция линейной части графика для SiC
Ширина запрещённой зоны SiC ΔWSiC ≈ 3.3 eV
Вывод
В ходе лабораторной работы были исследованы коэффициенты поглощения полупроводников GaAs, Si и SiC-4H на основе снятого спектра коэффициента пропускания исследуемых материалов.
Каждый материал показал схожее свойство: С повышением длины волны коэффициент поглощения падает, что соответствует справочной зависимости собственного поглощения от длины волны.
Оценённые значение ширины запрещённой зоны материалов соответствуют табличным значениям.