Evaluation of gel time of TEOS using the idea of phononic band-gap for macro bi-mass system
In this work, elastic wave propagation through a composite medium, consists of solid and colloidal liquid in a one-dimensional phononic crystal has been studied. The behavioural change in mechanical properties for sol to gel phase transformation is obtained in this experiment. When, a wave of certai...
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| Veröffentlicht in: | Physica. B, Condensed matter Condensed matter, 2020-10, Vol.595, p.412371, Article 412371 |
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| creator | Karmakar, Chayan Kanchan Betal, Priyanka Mukherjee, Sampad |
| description | In this work, elastic wave propagation through a composite medium, consists of solid and colloidal liquid in a one-dimensional phononic crystal has been studied. The behavioural change in mechanical properties for sol to gel phase transformation is obtained in this experiment. When, a wave of certain range of frequency passes through such a medium, propagation is blocked for some frequency range due to the presence of specific periodic structural arrangement. This range of frequency is termed as forbidden band gap. Calculations for the structure of one dimensional N mass system are performed and are generalized for a bi-mass system (assuming N = 2). Considering different structural and mechanical parameter of the medium, the range of the forbidden gap is calculated and is verified with the experimental analysis. Along with this, the transition time for sol to gel phase transformation is obtained.
•The two dimensional mass spring system offers a frequency forbidden gap (obtained experimentally) to the mechanical wave, which agrees with the theoretical value.•Sol to gel transformation through cluster formation and growth.•Amplitude of the received wave increases rapidly during gelation time.•Gelation time decreases exponentially with the increase of the concentration of TEOS of the gel solution. |
| doi_str_mv | 10.1016/j.physb.2020.412371 |
| format | Article |
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•The two dimensional mass spring system offers a frequency forbidden gap (obtained experimentally) to the mechanical wave, which agrees with the theoretical value.•Sol to gel transformation through cluster formation and growth.•Amplitude of the received wave increases rapidly during gelation time.•Gelation time decreases exponentially with the increase of the concentration of TEOS of the gel solution.</description><identifier>ISSN: 0921-4526</identifier><identifier>EISSN: 1873-2135</identifier><identifier>DOI: 10.1016/j.physb.2020.412371</identifier><language>eng</language><publisher>Amsterdam: Elsevier B.V</publisher><subject>Band gap ; Crystal structure ; Elastic wave propagation ; Elastic waves ; Energy gap ; Forbidden bands ; Frequency filter ; Frequency ranges ; Mathematical analysis ; Mechanical properties ; Phase transitions ; Phononic band gap ; Phononic crystal ; Propagation ; Sol-gel kinetics ; Sol-gel processes ; Ultrasonic ; Wave propagation</subject><ispartof>Physica. B, Condensed matter, 2020-10, Vol.595, p.412371, Article 412371</ispartof><rights>2020 Elsevier B.V.</rights><rights>Copyright Elsevier BV Oct 15, 2020</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c331t-500d2a01ea91cdb1a26eebece6ff36b69b6b8f89e702a942945d87947dcc50703</citedby><cites>FETCH-LOGICAL-c331t-500d2a01ea91cdb1a26eebece6ff36b69b6b8f89e702a942945d87947dcc50703</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S0921452620303811$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3537,27903,27904,65309</link.rule.ids></links><search><creatorcontrib>Karmakar, Chayan Kanchan</creatorcontrib><creatorcontrib>Betal, Priyanka</creatorcontrib><creatorcontrib>Mukherjee, Sampad</creatorcontrib><title>Evaluation of gel time of TEOS using the idea of phononic band-gap for macro bi-mass system</title><title>Physica. B, Condensed matter</title><description>In this work, elastic wave propagation through a composite medium, consists of solid and colloidal liquid in a one-dimensional phononic crystal has been studied. The behavioural change in mechanical properties for sol to gel phase transformation is obtained in this experiment. When, a wave of certain range of frequency passes through such a medium, propagation is blocked for some frequency range due to the presence of specific periodic structural arrangement. This range of frequency is termed as forbidden band gap. Calculations for the structure of one dimensional N mass system are performed and are generalized for a bi-mass system (assuming N = 2). Considering different structural and mechanical parameter of the medium, the range of the forbidden gap is calculated and is verified with the experimental analysis. Along with this, the transition time for sol to gel phase transformation is obtained.
•The two dimensional mass spring system offers a frequency forbidden gap (obtained experimentally) to the mechanical wave, which agrees with the theoretical value.•Sol to gel transformation through cluster formation and growth.•Amplitude of the received wave increases rapidly during gelation time.•Gelation time decreases exponentially with the increase of the concentration of TEOS of the gel solution.</description><subject>Band gap</subject><subject>Crystal structure</subject><subject>Elastic wave propagation</subject><subject>Elastic waves</subject><subject>Energy gap</subject><subject>Forbidden bands</subject><subject>Frequency filter</subject><subject>Frequency ranges</subject><subject>Mathematical analysis</subject><subject>Mechanical properties</subject><subject>Phase transitions</subject><subject>Phononic band gap</subject><subject>Phononic crystal</subject><subject>Propagation</subject><subject>Sol-gel kinetics</subject><subject>Sol-gel processes</subject><subject>Ultrasonic</subject><subject>Wave propagation</subject><issn>0921-4526</issn><issn>1873-2135</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNp9kD1PwzAQhi0EEqXwC1gsMSfYTuLEAwOqyodUqQNlYrBs59I6auJgJ5X670kIM7fc6fS-9_EgdE9JTAnlj3XcHc5Bx4wwEqeUJTm9QAta5EnEaJJdogURjEZpxvg1ugmhJmPQnC7Q1_qkjoPqrWuxq_Aejri3DUz1br39wEOw7R73B8C2BDW1u4NrXWsN1qoto73qcOU8bpTxDmsbNSoEHM6hh-YWXVXqGODuLy_R58t6t3qLNtvX99XzJjJJQvsoI6RkilBQgppSU8U4gAYDvKoSrrnQXBdVISAnTImUiTQri1ykeWlMRnKSLNHDPLfz7nuA0MvaDb4dV0qW5gVnVBTZqEpm1XhoCB4q2XnbKH-WlMiJoqzlL0U5UZQzxdH1NLtgfOBkwctgLLQGSuvB9LJ09l__Dyune0M</recordid><startdate>20201015</startdate><enddate>20201015</enddate><creator>Karmakar, Chayan Kanchan</creator><creator>Betal, Priyanka</creator><creator>Mukherjee, Sampad</creator><general>Elsevier B.V</general><general>Elsevier BV</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>L7M</scope></search><sort><creationdate>20201015</creationdate><title>Evaluation of gel time of TEOS using the idea of phononic band-gap for macro bi-mass system</title><author>Karmakar, Chayan Kanchan ; Betal, Priyanka ; Mukherjee, Sampad</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c331t-500d2a01ea91cdb1a26eebece6ff36b69b6b8f89e702a942945d87947dcc50703</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Band gap</topic><topic>Crystal structure</topic><topic>Elastic wave propagation</topic><topic>Elastic waves</topic><topic>Energy gap</topic><topic>Forbidden bands</topic><topic>Frequency filter</topic><topic>Frequency ranges</topic><topic>Mathematical analysis</topic><topic>Mechanical properties</topic><topic>Phase transitions</topic><topic>Phononic band gap</topic><topic>Phononic crystal</topic><topic>Propagation</topic><topic>Sol-gel kinetics</topic><topic>Sol-gel processes</topic><topic>Ultrasonic</topic><topic>Wave propagation</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Karmakar, Chayan Kanchan</creatorcontrib><creatorcontrib>Betal, Priyanka</creatorcontrib><creatorcontrib>Mukherjee, Sampad</creatorcontrib><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Physica. B, Condensed matter</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Karmakar, Chayan Kanchan</au><au>Betal, Priyanka</au><au>Mukherjee, Sampad</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Evaluation of gel time of TEOS using the idea of phononic band-gap for macro bi-mass system</atitle><jtitle>Physica. B, Condensed matter</jtitle><date>2020-10-15</date><risdate>2020</risdate><volume>595</volume><spage>412371</spage><pages>412371-</pages><artnum>412371</artnum><issn>0921-4526</issn><eissn>1873-2135</eissn><abstract>In this work, elastic wave propagation through a composite medium, consists of solid and colloidal liquid in a one-dimensional phononic crystal has been studied. The behavioural change in mechanical properties for sol to gel phase transformation is obtained in this experiment. When, a wave of certain range of frequency passes through such a medium, propagation is blocked for some frequency range due to the presence of specific periodic structural arrangement. This range of frequency is termed as forbidden band gap. Calculations for the structure of one dimensional N mass system are performed and are generalized for a bi-mass system (assuming N = 2). Considering different structural and mechanical parameter of the medium, the range of the forbidden gap is calculated and is verified with the experimental analysis. Along with this, the transition time for sol to gel phase transformation is obtained.
•The two dimensional mass spring system offers a frequency forbidden gap (obtained experimentally) to the mechanical wave, which agrees with the theoretical value.•Sol to gel transformation through cluster formation and growth.•Amplitude of the received wave increases rapidly during gelation time.•Gelation time decreases exponentially with the increase of the concentration of TEOS of the gel solution.</abstract><cop>Amsterdam</cop><pub>Elsevier B.V</pub><doi>10.1016/j.physb.2020.412371</doi></addata></record> |
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| subjects | Band gap Crystal structure Elastic wave propagation Elastic waves Energy gap Forbidden bands Frequency filter Frequency ranges Mathematical analysis Mechanical properties Phase transitions Phononic band gap Phononic crystal Propagation Sol-gel kinetics Sol-gel processes Ultrasonic Wave propagation |
| title | Evaluation of gel time of TEOS using the idea of phononic band-gap for macro bi-mass system |
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