Systematic vibration thermodynamic properties of bromine
Based on the analysis of the maturity and finiteness of vibrational levels of bromine molecule in ground state and evaluating the effect on statistical computation, according to the elementary principles of quantum statistical theorem, using the full set of bromine molecular vibrational levels deter...
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| Veröffentlicht in: | Indian journal of physics 2015-11, Vol.89 (11), p.1109-1115 |
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| container_end_page | 1115 |
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| container_title | Indian journal of physics |
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| creator | Liu, G. Y. Sun, W. G. Liao, B. T. |
| description | Based on the analysis of the maturity and finiteness of vibrational levels of bromine molecule in ground state and evaluating the effect on statistical computation, according to the elementary principles of quantum statistical theorem, using the full set of bromine molecular vibrational levels determined with algebra method, the statistical contribution for bromine systematical macroscopic thermodynamic properties is discussed. Thermodynamic state functions Helmholtz free energy, entropy and observable vibration heat capacity are calculated. The results show that the determination of full set of vibrational levels and maximum vibrational quantum number is the key in the correct statistical analysis of bromine systematical thermodynamic property. Algebra method results are clearly different from data of simple harmonic oscillator and the related algebra method results are no longer analytical but numerical and are superior to simple harmonic oscillator results. Compared with simple harmonic oscillator’s heat capacities, the algebra method’s heat capacities are more consistent with the experimental data in the given temperature range of 600–2100 K. |
| doi_str_mv | 10.1007/s12648-015-0698-4 |
| format | Article |
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Y. ; Sun, W. G. ; Liao, B. T.</creator><creatorcontrib>Liu, G. Y. ; Sun, W. G. ; Liao, B. T.</creatorcontrib><description>Based on the analysis of the maturity and finiteness of vibrational levels of bromine molecule in ground state and evaluating the effect on statistical computation, according to the elementary principles of quantum statistical theorem, using the full set of bromine molecular vibrational levels determined with algebra method, the statistical contribution for bromine systematical macroscopic thermodynamic properties is discussed. Thermodynamic state functions Helmholtz free energy, entropy and observable vibration heat capacity are calculated. The results show that the determination of full set of vibrational levels and maximum vibrational quantum number is the key in the correct statistical analysis of bromine systematical thermodynamic property. Algebra method results are clearly different from data of simple harmonic oscillator and the related algebra method results are no longer analytical but numerical and are superior to simple harmonic oscillator results. Compared with simple harmonic oscillator’s heat capacities, the algebra method’s heat capacities are more consistent with the experimental data in the given temperature range of 600–2100 K.</description><identifier>ISSN: 0973-1458</identifier><identifier>EISSN: 0974-9845</identifier><identifier>DOI: 10.1007/s12648-015-0698-4</identifier><language>eng</language><publisher>New Delhi: Springer India</publisher><subject>Algebra ; Astrophysics and Astroparticles ; Bromine ; Heat capacity ; Mathematical analysis ; Mathematical models ; Physics ; Physics and Astronomy ; Quantum physics ; Review Paper ; Specific heat ; Theorems ; Thermodynamic properties ; Thermodynamics ; Vibration</subject><ispartof>Indian journal of physics, 2015-11, Vol.89 (11), p.1109-1115</ispartof><rights>Indian Association for the Cultivation of Science 2015</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c349t-c264e1c3fe877750b30b19da0c5143029d8e9878b459854970e1efcf253b92623</citedby><cites>FETCH-LOGICAL-c349t-c264e1c3fe877750b30b19da0c5143029d8e9878b459854970e1efcf253b92623</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s12648-015-0698-4$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s12648-015-0698-4$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27922,27923,41486,42555,51317</link.rule.ids></links><search><creatorcontrib>Liu, G. Y.</creatorcontrib><creatorcontrib>Sun, W. G.</creatorcontrib><creatorcontrib>Liao, B. T.</creatorcontrib><title>Systematic vibration thermodynamic properties of bromine</title><title>Indian journal of physics</title><addtitle>Indian J Phys</addtitle><description>Based on the analysis of the maturity and finiteness of vibrational levels of bromine molecule in ground state and evaluating the effect on statistical computation, according to the elementary principles of quantum statistical theorem, using the full set of bromine molecular vibrational levels determined with algebra method, the statistical contribution for bromine systematical macroscopic thermodynamic properties is discussed. Thermodynamic state functions Helmholtz free energy, entropy and observable vibration heat capacity are calculated. The results show that the determination of full set of vibrational levels and maximum vibrational quantum number is the key in the correct statistical analysis of bromine systematical thermodynamic property. Algebra method results are clearly different from data of simple harmonic oscillator and the related algebra method results are no longer analytical but numerical and are superior to simple harmonic oscillator results. Compared with simple harmonic oscillator’s heat capacities, the algebra method’s heat capacities are more consistent with the experimental data in the given temperature range of 600–2100 K.</description><subject>Algebra</subject><subject>Astrophysics and Astroparticles</subject><subject>Bromine</subject><subject>Heat capacity</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum physics</subject><subject>Review Paper</subject><subject>Specific heat</subject><subject>Theorems</subject><subject>Thermodynamic properties</subject><subject>Thermodynamics</subject><subject>Vibration</subject><issn>0973-1458</issn><issn>0974-9845</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><sourceid>8G5</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><sourceid>GUQSH</sourceid><sourceid>M2O</sourceid><recordid>eNp1kE9LAzEQxYMoWKsfwNuCFy_RmU3SJEcp_oOCB_UcdtNZ3dLd1GQr9Nubuh5E8DSP4TePN4-xc4QrBNDXCcuZNBxQcZhZw-UBm4DVklsj1eG3FhylMsfsJKUVZAi1mjDzvEsDddXQ-uKzrWMWoS-Gd4pdWO76qsv7TQwbikNLqQhNUcfQtT2dsqOmWic6-5lT9np3-zJ_4Iun-8f5zYJ7Ie3AfY5F6EVDRmutoBZQo11W4BVKAaVdGrJGm1oqa5S0Ggip8U2pRG3LWSmm7HL0zSk-tpQG17XJ03pd9RS2yaHWILTOb2b04g-6CtvY53SZQmFEqRRkCkfKx5BSpMZtYttVcecQ3L5LN3bpcpdu36XbO5fjTcps_0bxl_O_R1-NAXV4</recordid><startdate>20151101</startdate><enddate>20151101</enddate><creator>Liu, G. Y.</creator><creator>Sun, W. G.</creator><creator>Liao, B. T.</creator><general>Springer India</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>04Q</scope><scope>04W</scope><scope>3V.</scope><scope>7U5</scope><scope>7XB</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>8G5</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>GNUQQ</scope><scope>GUQSH</scope><scope>H8D</scope><scope>HCIFZ</scope><scope>L7M</scope><scope>M2O</scope><scope>MBDVC</scope><scope>P5Z</scope><scope>P62</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>Q9U</scope></search><sort><creationdate>20151101</creationdate><title>Systematic vibration thermodynamic properties of bromine</title><author>Liu, G. Y. ; Sun, W. G. ; Liao, B. T.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c349t-c264e1c3fe877750b30b19da0c5143029d8e9878b459854970e1efcf253b92623</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>Algebra</topic><topic>Astrophysics and Astroparticles</topic><topic>Bromine</topic><topic>Heat capacity</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum physics</topic><topic>Review Paper</topic><topic>Specific heat</topic><topic>Theorems</topic><topic>Thermodynamic properties</topic><topic>Thermodynamics</topic><topic>Vibration</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Liu, G. Y.</creatorcontrib><creatorcontrib>Sun, W. G.</creatorcontrib><creatorcontrib>Liao, B. 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Thermodynamic state functions Helmholtz free energy, entropy and observable vibration heat capacity are calculated. The results show that the determination of full set of vibrational levels and maximum vibrational quantum number is the key in the correct statistical analysis of bromine systematical thermodynamic property. Algebra method results are clearly different from data of simple harmonic oscillator and the related algebra method results are no longer analytical but numerical and are superior to simple harmonic oscillator results. Compared with simple harmonic oscillator’s heat capacities, the algebra method’s heat capacities are more consistent with the experimental data in the given temperature range of 600–2100 K.</abstract><cop>New Delhi</cop><pub>Springer India</pub><doi>10.1007/s12648-015-0698-4</doi><tpages>7</tpages></addata></record> |
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| subjects | Algebra Astrophysics and Astroparticles Bromine Heat capacity Mathematical analysis Mathematical models Physics Physics and Astronomy Quantum physics Review Paper Specific heat Theorems Thermodynamic properties Thermodynamics Vibration |
| title | Systematic vibration thermodynamic properties of bromine |
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