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<h2 class="hd hd-2 unit-title">Question 1.1</h2>
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<h2>QUESTION 1.1: important DEFINITIONS</h2>
<p style="font-size: 16px; line-height: 25.600000381469727px;">Please write a brief definition of each of the following terms in the text box below. Then click on the Show Answer button, and evaluate the following: Did your answer match the one in the Solution? (Exact matches are not required, though your answer should contain the main points indicated in the Instructor-generated answer.) After you have evaluated your answer, check the appropriate box below.</p>
<p style="font-size: 16px; line-height: 25.600000381469727px;">Please take care when answering these questions. Though your grade will be based on your own self-evaluation of your answers, your success in the rest of 3.15x depends in part on your understanding of these basic concepts. </p>
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problem
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<div class="problem-progress" id="block-v1:MITX+3.15.1x+2T2017+type@problem+block@a1d1d55b812349bc915edd24dda77735-problem-progress"></div>
<div class="problem">
<div>
<div>
<p>Conduction Band:</p>
<div class="wrapper-problem-response" tabindex="-1" aria-label="Question 1" role="group"><div id="inputtype_a1d1d55b812349bc915edd24dda77735_2_1" class=" capa_inputtype textline">
<div class="unanswered ">
<input type="text" name="input_a1d1d55b812349bc915edd24dda77735_2_1" id="input_a1d1d55b812349bc915edd24dda77735_2_1" aria-describedby="status_a1d1d55b812349bc915edd24dda77735_2_1" value="" size="80"/>
<span class="trailing_text" id="trailing_text_a1d1d55b812349bc915edd24dda77735_2_1"/>
<span class="status unanswered" id="status_a1d1d55b812349bc915edd24dda77735_2_1" data-tooltip="Not yet answered.">
<span class="sr">unanswered</span><span class="status-icon" aria-hidden="true"/>
</span>
<p id="answer_a1d1d55b812349bc915edd24dda77735_2_1" class="answer"/>
</div>
</div></div>
</div>
</div>
<div class="action">
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problem
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<div class="problem">
<div>
<div class="wrapper-problem-response" tabindex="-1" aria-label="Question 1" role="group"><p>Does your Conduction Band definition match the Instructor's Definition?</p>
<div class="choicegroup capa_inputtype" id="inputtype_eab47f46d41847799fad1882c64868e7_2_1">
<fieldset aria-describedby="status_eab47f46d41847799fad1882c64868e7_2_1">
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<div class="field">
<input type="radio" name="input_eab47f46d41847799fad1882c64868e7_2_1" id="input_eab47f46d41847799fad1882c64868e7_2_1_choice_1" class="field-input input-radio" value="choice_1"/><label id="eab47f46d41847799fad1882c64868e7_2_1-choice_1-label" for="input_eab47f46d41847799fad1882c64868e7_2_1_choice_1" class="response-label field-label label-inline" aria-describedby="status_eab47f46d41847799fad1882c64868e7_2_1"> No
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<span id="answer_eab47f46d41847799fad1882c64868e7_2_1"/>
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<div class="indicator-container">
<span class="status unanswered" id="status_eab47f46d41847799fad1882c64868e7_2_1" data-tooltip="Not yet answered.">
<span class="sr">unanswered</span><span class="status-icon" aria-hidden="true"/>
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problem
</h3>
<div class="problem-progress" id="block-v1:MITX+3.15.1x+2T2017+type@problem+block@b742cdd427d24487b6cbc4cef05761be-problem-progress"></div>
<div class="problem">
<div>
<div>
<p>Valence Band:</p>
<div class="wrapper-problem-response" tabindex="-1" aria-label="Question 1" role="group"><div id="inputtype_b742cdd427d24487b6cbc4cef05761be_2_1" class=" capa_inputtype textline">
<div class="unanswered ">
<input type="text" name="input_b742cdd427d24487b6cbc4cef05761be_2_1" id="input_b742cdd427d24487b6cbc4cef05761be_2_1" aria-describedby="status_b742cdd427d24487b6cbc4cef05761be_2_1" value="" size="80"/>
<span class="trailing_text" id="trailing_text_b742cdd427d24487b6cbc4cef05761be_2_1"/>
<span class="status unanswered" id="status_b742cdd427d24487b6cbc4cef05761be_2_1" data-tooltip="Not yet answered.">
<span class="sr">unanswered</span><span class="status-icon" aria-hidden="true"/>
</span>
<p id="answer_b742cdd427d24487b6cbc4cef05761be_2_1" class="answer"/>
</div>
</div></div>
</div>
</div>
<div class="action">
<input type="hidden" name="problem_id" value="problem" />
<div class="submit-attempt-container">
<button type="button" class="submit btn-brand" data-submitting="Submitting" data-value="Submit" data-should-enable-submit-button="True" aria-describedby="submission_feedback_b742cdd427d24487b6cbc4cef05761be" >
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problem
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<div class="problem-progress" id="block-v1:MITX+3.15.1x+2T2017+type@problem+block@f2a9f7dbddf644bba6ec15565bc07adb-problem-progress"></div>
<div class="problem">
<div>
<div class="wrapper-problem-response" tabindex="-1" aria-label="Question 1" role="group"><p>Does your Valence Band definition match the Instructor's Definition?</p>
<div class="choicegroup capa_inputtype" id="inputtype_f2a9f7dbddf644bba6ec15565bc07adb_2_1">
<fieldset aria-describedby="status_f2a9f7dbddf644bba6ec15565bc07adb_2_1">
<div class="field">
<input type="radio" name="input_f2a9f7dbddf644bba6ec15565bc07adb_2_1" id="input_f2a9f7dbddf644bba6ec15565bc07adb_2_1_choice_0" class="field-input input-radio" value="choice_0"/><label id="f2a9f7dbddf644bba6ec15565bc07adb_2_1-choice_0-label" for="input_f2a9f7dbddf644bba6ec15565bc07adb_2_1_choice_0" class="response-label field-label label-inline" aria-describedby="status_f2a9f7dbddf644bba6ec15565bc07adb_2_1"> Yes
</label>
</div>
<div class="field">
<input type="radio" name="input_f2a9f7dbddf644bba6ec15565bc07adb_2_1" id="input_f2a9f7dbddf644bba6ec15565bc07adb_2_1_choice_1" class="field-input input-radio" value="choice_1"/><label id="f2a9f7dbddf644bba6ec15565bc07adb_2_1-choice_1-label" for="input_f2a9f7dbddf644bba6ec15565bc07adb_2_1_choice_1" class="response-label field-label label-inline" aria-describedby="status_f2a9f7dbddf644bba6ec15565bc07adb_2_1"> No
</label>
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<span id="answer_f2a9f7dbddf644bba6ec15565bc07adb_2_1"/>
</fieldset>
<div class="indicator-container">
<span class="status unanswered" id="status_f2a9f7dbddf644bba6ec15565bc07adb_2_1" data-tooltip="Not yet answered.">
<span class="sr">unanswered</span><span class="status-icon" aria-hidden="true"/>
</span>
</div>
</div><p> </p>
</div>
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data-problem-score="0"
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<h3 class="hd hd-3 problem-header" id="5fab1c6cf733461bb8df2d81885154fe-problem-title" aria-describedby="block-v1:MITX+3.15.1x+2T2017+type@problem+block@5fab1c6cf733461bb8df2d81885154fe-problem-progress" tabindex="-1">
problem
</h3>
<div class="problem-progress" id="block-v1:MITX+3.15.1x+2T2017+type@problem+block@5fab1c6cf733461bb8df2d81885154fe-problem-progress"></div>
<div class="problem">
<div>
<div>
<p>Band Gap:</p>
<div class="wrapper-problem-response" tabindex="-1" aria-label="Question 1" role="group"><div id="inputtype_5fab1c6cf733461bb8df2d81885154fe_2_1" class=" capa_inputtype textline">
<div class="unanswered ">
<input type="text" name="input_5fab1c6cf733461bb8df2d81885154fe_2_1" id="input_5fab1c6cf733461bb8df2d81885154fe_2_1" aria-describedby="status_5fab1c6cf733461bb8df2d81885154fe_2_1" value="" size="80"/>
<span class="trailing_text" id="trailing_text_5fab1c6cf733461bb8df2d81885154fe_2_1"/>
<span class="status unanswered" id="status_5fab1c6cf733461bb8df2d81885154fe_2_1" data-tooltip="Not yet answered.">
<span class="sr">unanswered</span><span class="status-icon" aria-hidden="true"/>
</span>
<p id="answer_5fab1c6cf733461bb8df2d81885154fe_2_1" class="answer"/>
</div>
</div></div>
</div>
</div>
<div class="action">
<input type="hidden" name="problem_id" value="problem" />
<div class="submit-attempt-container">
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<div class="xblock xblock-public_view xblock-public_view-problem xmodule_display xmodule_ProblemBlock" data-init="XBlockToXModuleShim" data-course-id="course-v1:MITX+3.15.1x+2T2017" data-request-token="d9189858ed3a11eeb8fc16ffd59041e1" data-graded="True" data-usage-id="block-v1:MITX+3.15.1x+2T2017+type@problem+block@2c95aabc2f164d8aa31464ee8c5db6ba" data-block-type="problem" data-runtime-class="LmsRuntime" data-runtime-version="1" data-has-score="True">
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problem
</h3>
<div class="problem-progress" id="block-v1:MITX+3.15.1x+2T2017+type@problem+block@2c95aabc2f164d8aa31464ee8c5db6ba-problem-progress"></div>
<div class="problem">
<div>
<div class="wrapper-problem-response" tabindex="-1" aria-label="Question 1" role="group"><p>Does your Band Gap definition match the Instructor's Definition?</p>
<div class="choicegroup capa_inputtype" id="inputtype_2c95aabc2f164d8aa31464ee8c5db6ba_2_1">
<fieldset aria-describedby="status_2c95aabc2f164d8aa31464ee8c5db6ba_2_1">
<div class="field">
<input type="radio" name="input_2c95aabc2f164d8aa31464ee8c5db6ba_2_1" id="input_2c95aabc2f164d8aa31464ee8c5db6ba_2_1_choice_0" class="field-input input-radio" value="choice_0"/><label id="2c95aabc2f164d8aa31464ee8c5db6ba_2_1-choice_0-label" for="input_2c95aabc2f164d8aa31464ee8c5db6ba_2_1_choice_0" class="response-label field-label label-inline" aria-describedby="status_2c95aabc2f164d8aa31464ee8c5db6ba_2_1"> Yes
</label>
</div>
<div class="field">
<input type="radio" name="input_2c95aabc2f164d8aa31464ee8c5db6ba_2_1" id="input_2c95aabc2f164d8aa31464ee8c5db6ba_2_1_choice_1" class="field-input input-radio" value="choice_1"/><label id="2c95aabc2f164d8aa31464ee8c5db6ba_2_1-choice_1-label" for="input_2c95aabc2f164d8aa31464ee8c5db6ba_2_1_choice_1" class="response-label field-label label-inline" aria-describedby="status_2c95aabc2f164d8aa31464ee8c5db6ba_2_1"> No
</label>
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<span id="answer_2c95aabc2f164d8aa31464ee8c5db6ba_2_1"/>
</fieldset>
<div class="indicator-container">
<span class="status unanswered" id="status_2c95aabc2f164d8aa31464ee8c5db6ba_2_1" data-tooltip="Not yet answered.">
<span class="sr">unanswered</span><span class="status-icon" aria-hidden="true"/>
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data-problem-id="block-v1:MITX+3.15.1x+2T2017+type@problem+block@fabb9b9310af445ba59802204c56fb7d" data-url="/courses/course-v1:MITX+3.15.1x+2T2017/xblock/block-v1:MITX+3.15.1x+2T2017+type@problem+block@fabb9b9310af445ba59802204c56fb7d/handler/xmodule_handler"
data-problem-score="0"
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<h3 class="hd hd-3 problem-header" id="fabb9b9310af445ba59802204c56fb7d-problem-title" aria-describedby="block-v1:MITX+3.15.1x+2T2017+type@problem+block@fabb9b9310af445ba59802204c56fb7d-problem-progress" tabindex="-1">
problem
</h3>
<div class="problem-progress" id="block-v1:MITX+3.15.1x+2T2017+type@problem+block@fabb9b9310af445ba59802204c56fb7d-problem-progress"></div>
<div class="problem">
<div>
<div>
<p>Intrinsic Semiconductor:</p>
<div class="wrapper-problem-response" tabindex="-1" aria-label="Question 1" role="group"><div id="inputtype_fabb9b9310af445ba59802204c56fb7d_2_1" class=" capa_inputtype textline">
<div class="unanswered ">
<input type="text" name="input_fabb9b9310af445ba59802204c56fb7d_2_1" id="input_fabb9b9310af445ba59802204c56fb7d_2_1" aria-describedby="status_fabb9b9310af445ba59802204c56fb7d_2_1" value="" size="80"/>
<span class="trailing_text" id="trailing_text_fabb9b9310af445ba59802204c56fb7d_2_1"/>
<span class="status unanswered" id="status_fabb9b9310af445ba59802204c56fb7d_2_1" data-tooltip="Not yet answered.">
<span class="sr">unanswered</span><span class="status-icon" aria-hidden="true"/>
</span>
<p id="answer_fabb9b9310af445ba59802204c56fb7d_2_1" class="answer"/>
</div>
</div></div>
</div>
</div>
<div class="action">
<input type="hidden" name="problem_id" value="problem" />
<div class="submit-attempt-container">
<button type="button" class="submit btn-brand" data-submitting="Submitting" data-value="Submit" data-should-enable-submit-button="True" aria-describedby="submission_feedback_fabb9b9310af445ba59802204c56fb7d" >
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<div class="xblock xblock-public_view xblock-public_view-problem xmodule_display xmodule_ProblemBlock" data-init="XBlockToXModuleShim" data-course-id="course-v1:MITX+3.15.1x+2T2017" data-request-token="d9189858ed3a11eeb8fc16ffd59041e1" data-graded="True" data-usage-id="block-v1:MITX+3.15.1x+2T2017+type@problem+block@7c0e60ff28b0457f95c82ed4218e888e" data-block-type="problem" data-runtime-class="LmsRuntime" data-runtime-version="1" data-has-score="True">
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problem
</h3>
<div class="problem-progress" id="block-v1:MITX+3.15.1x+2T2017+type@problem+block@7c0e60ff28b0457f95c82ed4218e888e-problem-progress"></div>
<div class="problem">
<div>
<div class="wrapper-problem-response" tabindex="-1" aria-label="Question 1" role="group"><p>Does your Intrinsic Semiconductor definition match the Instructor's Definition?</p>
<div class="choicegroup capa_inputtype" id="inputtype_7c0e60ff28b0457f95c82ed4218e888e_2_1">
<fieldset aria-describedby="status_7c0e60ff28b0457f95c82ed4218e888e_2_1">
<div class="field">
<input type="radio" name="input_7c0e60ff28b0457f95c82ed4218e888e_2_1" id="input_7c0e60ff28b0457f95c82ed4218e888e_2_1_choice_0" class="field-input input-radio" value="choice_0"/><label id="7c0e60ff28b0457f95c82ed4218e888e_2_1-choice_0-label" for="input_7c0e60ff28b0457f95c82ed4218e888e_2_1_choice_0" class="response-label field-label label-inline" aria-describedby="status_7c0e60ff28b0457f95c82ed4218e888e_2_1"> Yes
</label>
</div>
<div class="field">
<input type="radio" name="input_7c0e60ff28b0457f95c82ed4218e888e_2_1" id="input_7c0e60ff28b0457f95c82ed4218e888e_2_1_choice_1" class="field-input input-radio" value="choice_1"/><label id="7c0e60ff28b0457f95c82ed4218e888e_2_1-choice_1-label" for="input_7c0e60ff28b0457f95c82ed4218e888e_2_1_choice_1" class="response-label field-label label-inline" aria-describedby="status_7c0e60ff28b0457f95c82ed4218e888e_2_1"> No
</label>
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<span id="answer_7c0e60ff28b0457f95c82ed4218e888e_2_1"/>
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<p>Extrinsic semiconductor:</p>
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<div class="wrapper-problem-response" tabindex="-1" aria-label="Question 1" role="group"><p>Does your Extrinsic Semiconductor definition match the Instructor's Definition?</p>
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<p>Majority Carriers:</p>
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<div>
<div class="wrapper-problem-response" tabindex="-1" aria-label="Question 1" role="group"><p>Does your Majority Carriers definition match the Instructor's Definition?</p>
<div class="choicegroup capa_inputtype" id="inputtype_36938d2b6e6e4c0e8f48efa6627b84d3_2_1">
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<p>Minority Carriers:</p>
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<div class="wrapper-problem-response" tabindex="-1" aria-label="Question 1" role="group"><p>Does your Minority Carriers definition match the Instructor's Definition?</p>
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<div class="problem">
<div>
<div>
<p>Effective Mass:</p>
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<span class="sr">unanswered</span><span class="status-icon" aria-hidden="true"/>
</span>
<p id="answer_1f930a3c93114dcd8ecb6c7bd5966a1d_2_1" class="answer"/>
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<div class="wrapper-problem-response" tabindex="-1" aria-label="Question 1" role="group"><p>Does your Effective Mass definition match the Instructor's Definition?</p>
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<fieldset aria-describedby="status_1090f1f4303f4f5fb498b2693abd557e_2_1">
<div class="field">
<input type="radio" name="input_1090f1f4303f4f5fb498b2693abd557e_2_1" id="input_1090f1f4303f4f5fb498b2693abd557e_2_1_choice_0" class="field-input input-radio" value="choice_0"/><label id="1090f1f4303f4f5fb498b2693abd557e_2_1-choice_0-label" for="input_1090f1f4303f4f5fb498b2693abd557e_2_1_choice_0" class="response-label field-label label-inline" aria-describedby="status_1090f1f4303f4f5fb498b2693abd557e_2_1"> Yes
</label>
</div>
<div class="field">
<input type="radio" name="input_1090f1f4303f4f5fb498b2693abd557e_2_1" id="input_1090f1f4303f4f5fb498b2693abd557e_2_1_choice_1" class="field-input input-radio" value="choice_1"/><label id="1090f1f4303f4f5fb498b2693abd557e_2_1-choice_1-label" for="input_1090f1f4303f4f5fb498b2693abd557e_2_1_choice_1" class="response-label field-label label-inline" aria-describedby="status_1090f1f4303f4f5fb498b2693abd557e_2_1"> No
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<span id="answer_1090f1f4303f4f5fb498b2693abd557e_2_1"/>
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<div class="xblock xblock-public_view xblock-public_view-problem xmodule_display xmodule_ProblemBlock" data-init="XBlockToXModuleShim" data-course-id="course-v1:MITX+3.15.1x+2T2017" data-request-token="d9189858ed3a11eeb8fc16ffd59041e1" data-graded="True" data-usage-id="block-v1:MITX+3.15.1x+2T2017+type@problem+block@fd03df2c330e4d94b2e2415a203884e7" data-block-type="problem" data-runtime-class="LmsRuntime" data-runtime-version="1" data-has-score="True">
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data-problem-id="block-v1:MITX+3.15.1x+2T2017+type@problem+block@fd03df2c330e4d94b2e2415a203884e7" data-url="/courses/course-v1:MITX+3.15.1x+2T2017/xblock/block-v1:MITX+3.15.1x+2T2017+type@problem+block@fd03df2c330e4d94b2e2415a203884e7/handler/xmodule_handler"
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problem
</h3>
<div class="problem-progress" id="block-v1:MITX+3.15.1x+2T2017+type@problem+block@fd03df2c330e4d94b2e2415a203884e7-problem-progress"></div>
<div class="problem">
<div>
<div>
<p>Density of States:</p>
<div class="wrapper-problem-response" tabindex="-1" aria-label="Question 1" role="group"><div id="inputtype_fd03df2c330e4d94b2e2415a203884e7_2_1" class=" capa_inputtype textline">
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<input type="text" name="input_fd03df2c330e4d94b2e2415a203884e7_2_1" id="input_fd03df2c330e4d94b2e2415a203884e7_2_1" aria-describedby="status_fd03df2c330e4d94b2e2415a203884e7_2_1" value="" size="80"/>
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<span class="sr">unanswered</span><span class="status-icon" aria-hidden="true"/>
</span>
<p id="answer_fd03df2c330e4d94b2e2415a203884e7_2_1" class="answer"/>
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</div></div>
</div>
</div>
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<h3 class="hd hd-3 problem-header" id="bb8542949d7343628f465a1ff344ae16-problem-title" aria-describedby="block-v1:MITX+3.15.1x+2T2017+type@problem+block@bb8542949d7343628f465a1ff344ae16-problem-progress" tabindex="-1">
problem
</h3>
<div class="problem-progress" id="block-v1:MITX+3.15.1x+2T2017+type@problem+block@bb8542949d7343628f465a1ff344ae16-problem-progress"></div>
<div class="problem">
<div>
<div class="wrapper-problem-response" tabindex="-1" aria-label="Question 1" role="group"><p>Does your Density of States definition match the Instructor's Definition?</p>
<div class="choicegroup capa_inputtype" id="inputtype_bb8542949d7343628f465a1ff344ae16_2_1">
<fieldset aria-describedby="status_bb8542949d7343628f465a1ff344ae16_2_1">
<div class="field">
<input type="radio" name="input_bb8542949d7343628f465a1ff344ae16_2_1" id="input_bb8542949d7343628f465a1ff344ae16_2_1_choice_0" class="field-input input-radio" value="choice_0"/><label id="bb8542949d7343628f465a1ff344ae16_2_1-choice_0-label" for="input_bb8542949d7343628f465a1ff344ae16_2_1_choice_0" class="response-label field-label label-inline" aria-describedby="status_bb8542949d7343628f465a1ff344ae16_2_1"> Yes
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<div class="field">
<input type="radio" name="input_bb8542949d7343628f465a1ff344ae16_2_1" id="input_bb8542949d7343628f465a1ff344ae16_2_1_choice_1" class="field-input input-radio" value="choice_1"/><label id="bb8542949d7343628f465a1ff344ae16_2_1-choice_1-label" for="input_bb8542949d7343628f465a1ff344ae16_2_1_choice_1" class="response-label field-label label-inline" aria-describedby="status_bb8542949d7343628f465a1ff344ae16_2_1"> No
</label>
</div>
<span id="answer_bb8542949d7343628f465a1ff344ae16_2_1"/>
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<div class="indicator-container">
<span class="status unanswered" id="status_bb8542949d7343628f465a1ff344ae16_2_1" data-tooltip="Not yet answered.">
<span class="sr">unanswered</span><span class="status-icon" aria-hidden="true"/>
</span>
</div>
</div><p> </p>
</div>
</div>
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<input type="hidden" name="problem_id" value="problem" />
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<button type="button" class="submit btn-brand" data-submitting="Submitting" data-value="Submit" data-should-enable-submit-button="True" aria-describedby="submission_feedback_bb8542949d7343628f465a1ff344ae16" >
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problem
</h3>
<div class="problem-progress" id="block-v1:MITX+3.15.1x+2T2017+type@problem+block@d0de0753c7ed49d5a69957b6ae0774a7-problem-progress"></div>
<div class="problem">
<div>
<div>
<p>Fermi Level:</p>
<div class="wrapper-problem-response" tabindex="-1" aria-label="Question 1" role="group"><div id="inputtype_d0de0753c7ed49d5a69957b6ae0774a7_2_1" class=" capa_inputtype textline">
<div class="unanswered ">
<input type="text" name="input_d0de0753c7ed49d5a69957b6ae0774a7_2_1" id="input_d0de0753c7ed49d5a69957b6ae0774a7_2_1" aria-describedby="status_d0de0753c7ed49d5a69957b6ae0774a7_2_1" value="" size="80"/>
<span class="trailing_text" id="trailing_text_d0de0753c7ed49d5a69957b6ae0774a7_2_1"/>
<span class="status unanswered" id="status_d0de0753c7ed49d5a69957b6ae0774a7_2_1" data-tooltip="Not yet answered.">
<span class="sr">unanswered</span><span class="status-icon" aria-hidden="true"/>
</span>
<p id="answer_d0de0753c7ed49d5a69957b6ae0774a7_2_1" class="answer"/>
</div>
</div></div>
</div>
</div>
<div class="action">
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problem
</h3>
<div class="problem-progress" id="block-v1:MITX+3.15.1x+2T2017+type@problem+block@e4a910f6f2c44db6ad6f1157c344f347-problem-progress"></div>
<div class="problem">
<div>
<div class="wrapper-problem-response" tabindex="-1" aria-label="Question 1" role="group"><p>Does your Fermi Level definition match the Instructor's Definition?</p>
<div class="choicegroup capa_inputtype" id="inputtype_e4a910f6f2c44db6ad6f1157c344f347_2_1">
<fieldset aria-describedby="status_e4a910f6f2c44db6ad6f1157c344f347_2_1">
<div class="field">
<input type="radio" name="input_e4a910f6f2c44db6ad6f1157c344f347_2_1" id="input_e4a910f6f2c44db6ad6f1157c344f347_2_1_choice_0" class="field-input input-radio" value="choice_0"/><label id="e4a910f6f2c44db6ad6f1157c344f347_2_1-choice_0-label" for="input_e4a910f6f2c44db6ad6f1157c344f347_2_1_choice_0" class="response-label field-label label-inline" aria-describedby="status_e4a910f6f2c44db6ad6f1157c344f347_2_1"> Yes
</label>
</div>
<div class="field">
<input type="radio" name="input_e4a910f6f2c44db6ad6f1157c344f347_2_1" id="input_e4a910f6f2c44db6ad6f1157c344f347_2_1_choice_1" class="field-input input-radio" value="choice_1"/><label id="e4a910f6f2c44db6ad6f1157c344f347_2_1-choice_1-label" for="input_e4a910f6f2c44db6ad6f1157c344f347_2_1_choice_1" class="response-label field-label label-inline" aria-describedby="status_e4a910f6f2c44db6ad6f1157c344f347_2_1"> No
</label>
</div>
<span id="answer_e4a910f6f2c44db6ad6f1157c344f347_2_1"/>
</fieldset>
<div class="indicator-container">
<span class="status unanswered" id="status_e4a910f6f2c44db6ad6f1157c344f347_2_1" data-tooltip="Not yet answered.">
<span class="sr">unanswered</span><span class="status-icon" aria-hidden="true"/>
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</div>
</div>
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problem
</h3>
<div class="problem-progress" id="block-v1:MITX+3.15.1x+2T2017+type@problem+block@d7e3201061a7405fa7a8c6000f5e3dee-problem-progress"></div>
<div class="problem">
<div>
<div>
<p>n<sup>+</sup> Material:</p>
<div class="wrapper-problem-response" tabindex="-1" aria-label="Question 1" role="group"><div id="inputtype_d7e3201061a7405fa7a8c6000f5e3dee_2_1" class=" capa_inputtype textline">
<div class="unanswered ">
<input type="text" name="input_d7e3201061a7405fa7a8c6000f5e3dee_2_1" id="input_d7e3201061a7405fa7a8c6000f5e3dee_2_1" aria-describedby="status_d7e3201061a7405fa7a8c6000f5e3dee_2_1" value="" size="80"/>
<span class="trailing_text" id="trailing_text_d7e3201061a7405fa7a8c6000f5e3dee_2_1"/>
<span class="status unanswered" id="status_d7e3201061a7405fa7a8c6000f5e3dee_2_1" data-tooltip="Not yet answered.">
<span class="sr">unanswered</span><span class="status-icon" aria-hidden="true"/>
</span>
<p id="answer_d7e3201061a7405fa7a8c6000f5e3dee_2_1" class="answer"/>
</div>
</div></div>
</div>
</div>
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problem
</h3>
<div class="problem-progress" id="block-v1:MITX+3.15.1x+2T2017+type@problem+block@92306d48a1e742c9b8c92e6d2f057027-problem-progress"></div>
<div class="problem">
<div>
<div class="wrapper-problem-response" tabindex="-1" aria-label="Question 1" role="group"><p>Does your n<sup>+</sup> Material definition match the Instructor's Definition?</p>
<div class="choicegroup capa_inputtype" id="inputtype_92306d48a1e742c9b8c92e6d2f057027_2_1">
<fieldset aria-describedby="status_92306d48a1e742c9b8c92e6d2f057027_2_1">
<div class="field">
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</div>
<div class="field">
<input type="radio" name="input_92306d48a1e742c9b8c92e6d2f057027_2_1" id="input_92306d48a1e742c9b8c92e6d2f057027_2_1_choice_1" class="field-input input-radio" value="choice_1"/><label id="92306d48a1e742c9b8c92e6d2f057027_2_1-choice_1-label" for="input_92306d48a1e742c9b8c92e6d2f057027_2_1_choice_1" class="response-label field-label label-inline" aria-describedby="status_92306d48a1e742c9b8c92e6d2f057027_2_1"> No
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<span id="answer_92306d48a1e742c9b8c92e6d2f057027_2_1"/>
</fieldset>
<div class="indicator-container">
<span class="status unanswered" id="status_92306d48a1e742c9b8c92e6d2f057027_2_1" data-tooltip="Not yet answered.">
<span class="sr">unanswered</span><span class="status-icon" aria-hidden="true"/>
</span>
</div>
</div><p> </p>
</div>
</div>
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<input type="hidden" name="problem_id" value="problem" />
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problem
</h3>
<div class="problem-progress" id="block-v1:MITX+3.15.1x+2T2017+type@problem+block@398cde8f88d640e2882bec412c6461b4-problem-progress"></div>
<div class="problem">
<div>
<div>
<p>Degenerate Semiconductor:</p>
<div class="wrapper-problem-response" tabindex="-1" aria-label="Question 1" role="group"><div id="inputtype_398cde8f88d640e2882bec412c6461b4_2_1" class=" capa_inputtype textline">
<div class="unanswered ">
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<span class="status unanswered" id="status_398cde8f88d640e2882bec412c6461b4_2_1" data-tooltip="Not yet answered.">
<span class="sr">unanswered</span><span class="status-icon" aria-hidden="true"/>
</span>
<p id="answer_398cde8f88d640e2882bec412c6461b4_2_1" class="answer"/>
</div>
</div></div>
</div>
</div>
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<div class="wrapper-problem-response" tabindex="-1" aria-label="Question 1" role="group"><p>Does your Degenerate Semiconductor definition match the Instructor's Definition?</p>
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<p>Minority Carrier Lifetime:</p>
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<div class="wrapper-problem-response" tabindex="-1" aria-label="Question 1" role="group"><p>Does your Minority Carrier Lifetime definition match the Instructor's Definition?</p>
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<p>Photogeneration:</p>
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problem
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<div class="wrapper-problem-response" tabindex="-1" aria-label="Question 1" role="group"><p>Does your Photogeneration definition match the Instructor's Definition?</p>
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problem
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<p>Equilibrium:</p>
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<div class="wrapper-problem-response" tabindex="-1" aria-label="Question 1" role="group"><p>Does your Equilibrium definition match the Instructor's Definition?</p>
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<div class="wrapper-problem-response" tabindex="-1" aria-label="Question 1" role="group"><p>Steady State:</p>
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<h2 class="hd hd-2 unit-title">Question 1.2</h2>
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<b> Part A </b>
<p>Indicate which of the following statements are true:</p>
<div class="wrapper-problem-response" tabindex="-1" aria-label="Question 1" role="group"><div class="choicegroup capa_inputtype" id="inputtype_a98e8ebb7f274c87855378c96f957ad1_2_1">
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<input type="checkbox" name="input_a98e8ebb7f274c87855378c96f957ad1_2_1[]" id="input_a98e8ebb7f274c87855378c96f957ad1_2_1_choice_0" class="field-input input-checkbox" value="choice_0"/><label id="a98e8ebb7f274c87855378c96f957ad1_2_1-choice_0-label" for="input_a98e8ebb7f274c87855378c96f957ad1_2_1_choice_0" class="response-label field-label label-inline" aria-describedby="status_a98e8ebb7f274c87855378c96f957ad1_2_1"> The conduction band is the highest filled energy band in a semiconductor or an insulator. It is completely full at 0 K.
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<input type="checkbox" name="input_a98e8ebb7f274c87855378c96f957ad1_2_1[]" id="input_a98e8ebb7f274c87855378c96f957ad1_2_1_choice_1" class="field-input input-checkbox" value="choice_1"/><label id="a98e8ebb7f274c87855378c96f957ad1_2_1-choice_1-label" for="input_a98e8ebb7f274c87855378c96f957ad1_2_1_choice_1" class="response-label field-label label-inline" aria-describedby="status_a98e8ebb7f274c87855378c96f957ad1_2_1"> The effective mass is the mass used to calculate the motion of a particle (such as an electron or hole) in a solid using a semi-classical model. The effective mass accounts for the effects of the surrounding crystal on particle motion.
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<input type="checkbox" name="input_a98e8ebb7f274c87855378c96f957ad1_2_1[]" id="input_a98e8ebb7f274c87855378c96f957ad1_2_1_choice_2" class="field-input input-checkbox" value="choice_2"/><label id="a98e8ebb7f274c87855378c96f957ad1_2_1-choice_2-label" for="input_a98e8ebb7f274c87855378c96f957ad1_2_1_choice_2" class="response-label field-label label-inline" aria-describedby="status_a98e8ebb7f274c87855378c96f957ad1_2_1"> The Fermi level inside a semiconductor is also the chemical potential of the electrons in the material.
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<input type="checkbox" name="input_a98e8ebb7f274c87855378c96f957ad1_2_1[]" id="input_a98e8ebb7f274c87855378c96f957ad1_2_1_choice_3" class="field-input input-checkbox" value="choice_3"/><label id="a98e8ebb7f274c87855378c96f957ad1_2_1-choice_3-label" for="input_a98e8ebb7f274c87855378c96f957ad1_2_1_choice_3" class="response-label field-label label-inline" aria-describedby="status_a98e8ebb7f274c87855378c96f957ad1_2_1"> Equilibrium occurs in a system when its properties do not change with time. This could occur in the presence of an applied electric field or other driving force.
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<input type="checkbox" name="input_a98e8ebb7f274c87855378c96f957ad1_2_1[]" id="input_a98e8ebb7f274c87855378c96f957ad1_2_1_choice_4" class="field-input input-checkbox" value="choice_4"/><label id="a98e8ebb7f274c87855378c96f957ad1_2_1-choice_4-label" for="input_a98e8ebb7f274c87855378c96f957ad1_2_1_choice_4" class="response-label field-label label-inline" aria-describedby="status_a98e8ebb7f274c87855378c96f957ad1_2_1"> The density of states is the differential number of states available to electrons at each energy level.
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<b> Part B </b>
<p>For intrinsic Silicon, what is the intrinsic carrier concentration (in carriers per \(cm^3\)) at room temperature?</p>
<p>\(n\) (in \(cm^{-3}\)):</p>
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<p>How many orders of magnitude lower is the intrinsic carrier concentration in silicon compared to the concentration of atoms in the crystal? </p>
<p>(For example, the number 10 is two orders of magnitude smaller than the number 1000, so in this case you would need to type "2" into the box below.")</p>
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<p>For intrinsic GaAs, what is the intrinsic carrier concentration (in carriers per \(cm^3\)) at room temperature?</p>
<p>\(p\) (in \(cm^-3\)):</p>
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<p>How many orders of magnitude lower is the intrinsic carrier concentration in GaAs compared to the concentration of atoms in the crystal?</p>
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<p>Which of the following statements are true?</p>
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<input type="checkbox" name="input_88840a017ed049d3819c6783bbda2b04_2_1[]" id="input_88840a017ed049d3819c6783bbda2b04_2_1_choice_0" class="field-input input-checkbox" value="choice_0"/><label id="88840a017ed049d3819c6783bbda2b04_2_1-choice_0-label" for="input_88840a017ed049d3819c6783bbda2b04_2_1_choice_0" class="response-label field-label label-inline" aria-describedby="status_88840a017ed049d3819c6783bbda2b04_2_1"> In order to make intrinsic semiconductors, dopant impurity levels must be kept very low.
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<input type="checkbox" name="input_88840a017ed049d3819c6783bbda2b04_2_1[]" id="input_88840a017ed049d3819c6783bbda2b04_2_1_choice_1" class="field-input input-checkbox" value="choice_1"/><label id="88840a017ed049d3819c6783bbda2b04_2_1-choice_1-label" for="input_88840a017ed049d3819c6783bbda2b04_2_1_choice_1" class="response-label field-label label-inline" aria-describedby="status_88840a017ed049d3819c6783bbda2b04_2_1"> In GaAs, silicon is always a p-type dopant.
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<input type="checkbox" name="input_88840a017ed049d3819c6783bbda2b04_2_1[]" id="input_88840a017ed049d3819c6783bbda2b04_2_1_choice_2" class="field-input input-checkbox" value="choice_2"/><label id="88840a017ed049d3819c6783bbda2b04_2_1-choice_2-label" for="input_88840a017ed049d3819c6783bbda2b04_2_1_choice_2" class="response-label field-label label-inline" aria-describedby="status_88840a017ed049d3819c6783bbda2b04_2_1"> Group II, IV, and VI elements can all be suitable dopants for GaAs.
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<input type="checkbox" name="input_88840a017ed049d3819c6783bbda2b04_2_1[]" id="input_88840a017ed049d3819c6783bbda2b04_2_1_choice_3" class="field-input input-checkbox" value="choice_3"/><label id="88840a017ed049d3819c6783bbda2b04_2_1-choice_3-label" for="input_88840a017ed049d3819c6783bbda2b04_2_1_choice_3" class="response-label field-label label-inline" aria-describedby="status_88840a017ed049d3819c6783bbda2b04_2_1"> The solid solubility of a dopant atom limits the amount of dopant that can be added to the crystal.
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<input type="checkbox" name="input_88840a017ed049d3819c6783bbda2b04_2_1[]" id="input_88840a017ed049d3819c6783bbda2b04_2_1_choice_4" class="field-input input-checkbox" value="choice_4"/><label id="88840a017ed049d3819c6783bbda2b04_2_1-choice_4-label" for="input_88840a017ed049d3819c6783bbda2b04_2_1_choice_4" class="response-label field-label label-inline" aria-describedby="status_88840a017ed049d3819c6783bbda2b04_2_1"> Group-III elements can be used as n-type dopants in silicon.
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<h2 class="hd hd-2 unit-title">Question 1.3</h2>
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Question 1.3
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<div><b> Part A </b><p>Identify the following diagrams:</p><p>Diagram 1: What does the shaded region represent?</p>
&#160; &#160; &#160; &#160; &#160; &#160; &#160; <img width="300" src="/assets/courseware/v1/30342426d8527c7dac19b8c42a8c65fc/asset-v1:MITX+3.15.1x+2T2017+type@asset+block/315PS1Ex3.png"/>
<div class="wrapper-problem-response" tabindex="-1" aria-label="Question 1" role="group"><div class="choicegroup capa_inputtype" id="inputtype_54f12ea908894c9aaeaee2833a9c8c85_2_1">
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<input type="radio" name="input_54f12ea908894c9aaeaee2833a9c8c85_2_1" id="input_54f12ea908894c9aaeaee2833a9c8c85_2_1_choice_0" class="field-input input-radio" value="choice_0"/><label id="54f12ea908894c9aaeaee2833a9c8c85_2_1-choice_0-label" for="input_54f12ea908894c9aaeaee2833a9c8c85_2_1_choice_0" class="response-label field-label label-inline" aria-describedby="status_54f12ea908894c9aaeaee2833a9c8c85_2_1"> Density of States for an intrinsic semiconductor
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<input type="radio" name="input_54f12ea908894c9aaeaee2833a9c8c85_2_1" id="input_54f12ea908894c9aaeaee2833a9c8c85_2_1_choice_1" class="field-input input-radio" value="choice_1"/><label id="54f12ea908894c9aaeaee2833a9c8c85_2_1-choice_1-label" for="input_54f12ea908894c9aaeaee2833a9c8c85_2_1_choice_1" class="response-label field-label label-inline" aria-describedby="status_54f12ea908894c9aaeaee2833a9c8c85_2_1"> Density of States for an n-type semicondutor
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<input type="radio" name="input_54f12ea908894c9aaeaee2833a9c8c85_2_1" id="input_54f12ea908894c9aaeaee2833a9c8c85_2_1_choice_2" class="field-input input-radio" value="choice_2"/><label id="54f12ea908894c9aaeaee2833a9c8c85_2_1-choice_2-label" for="input_54f12ea908894c9aaeaee2833a9c8c85_2_1_choice_2" class="response-label field-label label-inline" aria-describedby="status_54f12ea908894c9aaeaee2833a9c8c85_2_1"> Density of States for an p-type semicondutor
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<input type="radio" name="input_54f12ea908894c9aaeaee2833a9c8c85_2_1" id="input_54f12ea908894c9aaeaee2833a9c8c85_2_1_choice_5" class="field-input input-radio" value="choice_5"/><label id="54f12ea908894c9aaeaee2833a9c8c85_2_1-choice_5-label" for="input_54f12ea908894c9aaeaee2833a9c8c85_2_1_choice_5" class="response-label field-label label-inline" aria-describedby="status_54f12ea908894c9aaeaee2833a9c8c85_2_1"> Carrier Distribution in an p-type semiconductor
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<p>Diagram 2: What does the shaded region represent?</p>
&#160; &#160; &#160; &#160; &#160; &#160; &#160; <img width="300" src="/assets/courseware/v1/0dc4bec3c78b9be8ab19a5d5d616b331/asset-v1:MITX+3.15.1x+2T2017+type@asset+block/315PS1Ex3B.png"/>
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<input type="radio" name="input_54f12ea908894c9aaeaee2833a9c8c85_3_1" id="input_54f12ea908894c9aaeaee2833a9c8c85_3_1_choice_0" class="field-input input-radio" value="choice_0"/><label id="54f12ea908894c9aaeaee2833a9c8c85_3_1-choice_0-label" for="input_54f12ea908894c9aaeaee2833a9c8c85_3_1_choice_0" class="response-label field-label label-inline" aria-describedby="status_54f12ea908894c9aaeaee2833a9c8c85_3_1"> Density of States for an intrinsic semiconductor
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<input type="radio" name="input_54f12ea908894c9aaeaee2833a9c8c85_3_1" id="input_54f12ea908894c9aaeaee2833a9c8c85_3_1_choice_4" class="field-input input-radio" value="choice_4"/><label id="54f12ea908894c9aaeaee2833a9c8c85_3_1-choice_4-label" for="input_54f12ea908894c9aaeaee2833a9c8c85_3_1_choice_4" class="response-label field-label label-inline" aria-describedby="status_54f12ea908894c9aaeaee2833a9c8c85_3_1"> Carrier Distribution in an n-type semiconductor
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<p>Diagram 3:</p>
&#160; &#160; &#160; &#160; &#160; &#160; &#160; <img width="300" src="/assets/courseware/v1/5769a1ed0ea2cbf83c4a61f423fa5b8c/asset-v1:MITX+3.15.1x+2T2017+type@asset+block/315PS1Ex3C.png"/>
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<input type="radio" name="input_54f12ea908894c9aaeaee2833a9c8c85_4_1" id="input_54f12ea908894c9aaeaee2833a9c8c85_4_1_choice_0" class="field-input input-radio" value="choice_0"/><label id="54f12ea908894c9aaeaee2833a9c8c85_4_1-choice_0-label" for="input_54f12ea908894c9aaeaee2833a9c8c85_4_1_choice_0" class="response-label field-label label-inline" aria-describedby="status_54f12ea908894c9aaeaee2833a9c8c85_4_1"> Density of States for an intrinsic semiconductor
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<div class="field">
<input type="radio" name="input_54f12ea908894c9aaeaee2833a9c8c85_4_1" id="input_54f12ea908894c9aaeaee2833a9c8c85_4_1_choice_1" class="field-input input-radio" value="choice_1"/><label id="54f12ea908894c9aaeaee2833a9c8c85_4_1-choice_1-label" for="input_54f12ea908894c9aaeaee2833a9c8c85_4_1_choice_1" class="response-label field-label label-inline" aria-describedby="status_54f12ea908894c9aaeaee2833a9c8c85_4_1"> Density of States for an n-type semicondutor
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</div>
<div class="field">
<input type="radio" name="input_54f12ea908894c9aaeaee2833a9c8c85_4_1" id="input_54f12ea908894c9aaeaee2833a9c8c85_4_1_choice_2" class="field-input input-radio" value="choice_2"/><label id="54f12ea908894c9aaeaee2833a9c8c85_4_1-choice_2-label" for="input_54f12ea908894c9aaeaee2833a9c8c85_4_1_choice_2" class="response-label field-label label-inline" aria-describedby="status_54f12ea908894c9aaeaee2833a9c8c85_4_1"> Density of States for an p-type semicondutor
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<input type="radio" name="input_54f12ea908894c9aaeaee2833a9c8c85_4_1" id="input_54f12ea908894c9aaeaee2833a9c8c85_4_1_choice_3" class="field-input input-radio" value="choice_3"/><label id="54f12ea908894c9aaeaee2833a9c8c85_4_1-choice_3-label" for="input_54f12ea908894c9aaeaee2833a9c8c85_4_1_choice_3" class="response-label field-label label-inline" aria-describedby="status_54f12ea908894c9aaeaee2833a9c8c85_4_1"> Carrier Distribution in an intrinsic semiconductor
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</label>
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<input type="radio" name="input_54f12ea908894c9aaeaee2833a9c8c85_4_1" id="input_54f12ea908894c9aaeaee2833a9c8c85_4_1_choice_5" class="field-input input-radio" value="choice_5"/><label id="54f12ea908894c9aaeaee2833a9c8c85_4_1-choice_5-label" for="input_54f12ea908894c9aaeaee2833a9c8c85_4_1_choice_5" class="response-label field-label label-inline" aria-describedby="status_54f12ea908894c9aaeaee2833a9c8c85_4_1"> Carrier Distribution in an p-type semiconductor
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<p>Diagram 4:</p>
&#160; &#160; &#160; &#160; &#160; &#160; &#160; <img width="300" src="/assets/courseware/v1/f1c6d7e5824a61d4721ee46a7501b06f/asset-v1:MITX+3.15.1x+2T2017+type@asset+block/315PS1Ex3D.png"/>
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<input type="radio" name="input_54f12ea908894c9aaeaee2833a9c8c85_5_1" id="input_54f12ea908894c9aaeaee2833a9c8c85_5_1_choice_0" class="field-input input-radio" value="choice_0"/><label id="54f12ea908894c9aaeaee2833a9c8c85_5_1-choice_0-label" for="input_54f12ea908894c9aaeaee2833a9c8c85_5_1_choice_0" class="response-label field-label label-inline" aria-describedby="status_54f12ea908894c9aaeaee2833a9c8c85_5_1"> Density of States for an intrinsic semiconductor
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<div class="field">
<input type="radio" name="input_54f12ea908894c9aaeaee2833a9c8c85_5_1" id="input_54f12ea908894c9aaeaee2833a9c8c85_5_1_choice_1" class="field-input input-radio" value="choice_1"/><label id="54f12ea908894c9aaeaee2833a9c8c85_5_1-choice_1-label" for="input_54f12ea908894c9aaeaee2833a9c8c85_5_1_choice_1" class="response-label field-label label-inline" aria-describedby="status_54f12ea908894c9aaeaee2833a9c8c85_5_1"> Density of States for an n-type semicondutor
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<input type="radio" name="input_54f12ea908894c9aaeaee2833a9c8c85_5_1" id="input_54f12ea908894c9aaeaee2833a9c8c85_5_1_choice_2" class="field-input input-radio" value="choice_2"/><label id="54f12ea908894c9aaeaee2833a9c8c85_5_1-choice_2-label" for="input_54f12ea908894c9aaeaee2833a9c8c85_5_1_choice_2" class="response-label field-label label-inline" aria-describedby="status_54f12ea908894c9aaeaee2833a9c8c85_5_1"> Density of States for an p-type semicondutor
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<input type="radio" name="input_54f12ea908894c9aaeaee2833a9c8c85_5_1" id="input_54f12ea908894c9aaeaee2833a9c8c85_5_1_choice_3" class="field-input input-radio" value="choice_3"/><label id="54f12ea908894c9aaeaee2833a9c8c85_5_1-choice_3-label" for="input_54f12ea908894c9aaeaee2833a9c8c85_5_1_choice_3" class="response-label field-label label-inline" aria-describedby="status_54f12ea908894c9aaeaee2833a9c8c85_5_1"> Carrier Distribution in an intrinsic semiconductor
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<input type="radio" name="input_54f12ea908894c9aaeaee2833a9c8c85_5_1" id="input_54f12ea908894c9aaeaee2833a9c8c85_5_1_choice_4" class="field-input input-radio" value="choice_4"/><label id="54f12ea908894c9aaeaee2833a9c8c85_5_1-choice_4-label" for="input_54f12ea908894c9aaeaee2833a9c8c85_5_1_choice_4" class="response-label field-label label-inline" aria-describedby="status_54f12ea908894c9aaeaee2833a9c8c85_5_1"> Carrier Distribution in an n-type semiconductor
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<input type="radio" name="input_54f12ea908894c9aaeaee2833a9c8c85_5_1" id="input_54f12ea908894c9aaeaee2833a9c8c85_5_1_choice_5" class="field-input input-radio" value="choice_5"/><label id="54f12ea908894c9aaeaee2833a9c8c85_5_1-choice_5-label" for="input_54f12ea908894c9aaeaee2833a9c8c85_5_1_choice_5" class="response-label field-label label-inline" aria-describedby="status_54f12ea908894c9aaeaee2833a9c8c85_5_1"> Carrier Distribution in an p-type semiconductor
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<div class="wrapper-problem-response" tabindex="-1" aria-label="Question 1" role="group"><b> Part B </b>
<p>Germanium has the same crystal structure as silicon but its band gap is \(0.67\) \(eV\). If the total density of states in the conduction band (\(N_c\)) and in the valence band (\(N_v\)) are the same as they are for silicon, what value of \(n_i\) would you expect for Ge at \(300\) \(K\)? </p>
<p>\(n_i\) (in \(cm^{-3}\)):</p>
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<div class="wrapper-problem-response" tabindex="-1" aria-label="Question 1" role="group"><b> Part C </b>
<p>The Ge is now doped with B and with P. Both dopants have the same concentration. This is known as a compensated semiconductor. Assume the B and P energy levels are each \(40\) \(meV\) from the band edge. If \(m_n^*/m_p^* = 0.01\), calculate the difference between \(E_i\) and midgap.</p>
<p>\(E_i\) - midgap (in \(meV\)):</p>
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<div class="wrapper-problem-response" tabindex="-1" aria-label="Question 1" role="group"><p>A semiconductor is doped with acceptor impurities with density \(N_A = 10^{19} cm^{-3}\). The impurity level is at \(E_g/5\) above \(E_v\), \(E_g = 20kT\), and \(E_f = 5kT\) above \(E_v\) (note that \(T\), the temperature, is not necessarily room temperature). The effective masses are: \(m_n^* = 0.12m_0\) and \(m_p^* = m_0\).</p>
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<p>What is \(n_i\)? (in \(cm^{-3}\))</p>
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<p>What are the values of \(n\) and \(p\)?</p>
<p>\(n\): (in \(cm^{-3}\))</p>
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<p>\(p\): (in \(cm^{-3}\))</p>
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