Diffraction phase microscopy imaging and multi-physics modeling of the nanoscale thermal expansion of a suspended resistor
Abstract We studied the nanoscale thermal expansion of a suspended resistor both theoretically and experimentally and obtained consistent results. In the theoretical analysis, we used a three-dimensional coupled electrical-thermal-mechanical simulation and obtained the temperature and displacement f...
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Nature Portfolio
2017
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oai:doaj.org-article:4fff078a3c524adf96b9f997090038512021-12-02T11:40:14ZDiffraction phase microscopy imaging and multi-physics modeling of the nanoscale thermal expansion of a suspended resistor10.1038/s41598-017-04803-52045-2322https://doaj.org/article/4fff078a3c524adf96b9f997090038512017-07-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-04803-5https://doaj.org/toc/2045-2322Abstract We studied the nanoscale thermal expansion of a suspended resistor both theoretically and experimentally and obtained consistent results. In the theoretical analysis, we used a three-dimensional coupled electrical-thermal-mechanical simulation and obtained the temperature and displacement field of the suspended resistor under a direct current (DC) input voltage. In the experiment, we recorded a sequence of images of the axial thermal expansion of the central bridge region of the suspended resistor at a rate of 1.8 frames/s by using epi-illumination diffraction phase microscopy (epi-DPM). This method accurately measured nanometer level relative height changes of the resistor in a temporally and spatially resolved manner. Upon application of a 2 V step in voltage, the resistor exhibited a steady-state increase in resistance of 1.14 Ω and in relative height of 3.5 nm, which agreed reasonably well with the predicted values of 1.08 Ω and 4.4 nm, respectively.Xiaozhen WangTianjian LuXin YuJian-Ming JinLynford L. GoddardNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-9 (2017) |
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Medicine R Science Q Xiaozhen Wang Tianjian Lu Xin Yu Jian-Ming Jin Lynford L. Goddard Diffraction phase microscopy imaging and multi-physics modeling of the nanoscale thermal expansion of a suspended resistor |
description |
Abstract We studied the nanoscale thermal expansion of a suspended resistor both theoretically and experimentally and obtained consistent results. In the theoretical analysis, we used a three-dimensional coupled electrical-thermal-mechanical simulation and obtained the temperature and displacement field of the suspended resistor under a direct current (DC) input voltage. In the experiment, we recorded a sequence of images of the axial thermal expansion of the central bridge region of the suspended resistor at a rate of 1.8 frames/s by using epi-illumination diffraction phase microscopy (epi-DPM). This method accurately measured nanometer level relative height changes of the resistor in a temporally and spatially resolved manner. Upon application of a 2 V step in voltage, the resistor exhibited a steady-state increase in resistance of 1.14 Ω and in relative height of 3.5 nm, which agreed reasonably well with the predicted values of 1.08 Ω and 4.4 nm, respectively. |
format |
article |
author |
Xiaozhen Wang Tianjian Lu Xin Yu Jian-Ming Jin Lynford L. Goddard |
author_facet |
Xiaozhen Wang Tianjian Lu Xin Yu Jian-Ming Jin Lynford L. Goddard |
author_sort |
Xiaozhen Wang |
title |
Diffraction phase microscopy imaging and multi-physics modeling of the nanoscale thermal expansion of a suspended resistor |
title_short |
Diffraction phase microscopy imaging and multi-physics modeling of the nanoscale thermal expansion of a suspended resistor |
title_full |
Diffraction phase microscopy imaging and multi-physics modeling of the nanoscale thermal expansion of a suspended resistor |
title_fullStr |
Diffraction phase microscopy imaging and multi-physics modeling of the nanoscale thermal expansion of a suspended resistor |
title_full_unstemmed |
Diffraction phase microscopy imaging and multi-physics modeling of the nanoscale thermal expansion of a suspended resistor |
title_sort |
diffraction phase microscopy imaging and multi-physics modeling of the nanoscale thermal expansion of a suspended resistor |
publisher |
Nature Portfolio |
publishDate |
2017 |
url |
https://doaj.org/article/4fff078a3c524adf96b9f99709003851 |
work_keys_str_mv |
AT xiaozhenwang diffractionphasemicroscopyimagingandmultiphysicsmodelingofthenanoscalethermalexpansionofasuspendedresistor AT tianjianlu diffractionphasemicroscopyimagingandmultiphysicsmodelingofthenanoscalethermalexpansionofasuspendedresistor AT xinyu diffractionphasemicroscopyimagingandmultiphysicsmodelingofthenanoscalethermalexpansionofasuspendedresistor AT jianmingjin diffractionphasemicroscopyimagingandmultiphysicsmodelingofthenanoscalethermalexpansionofasuspendedresistor AT lynfordlgoddard diffractionphasemicroscopyimagingandmultiphysicsmodelingofthenanoscalethermalexpansionofasuspendedresistor |
_version_ |
1718395641363693568 |