General Relations between Molecular Sensitivities and Their Physical Content
Abstract The molecular Legendre transformed representations are reexamined. They correspond to alternative sets of parameters defining the constraints imposed on the system. In the global description the molecular (equilibrium) states are defined by the global state parameter G = (N or μ) and the s...
Ausführliche Beschreibung
Autor*in: |
Nalewajski, Roman F. [verfasserIn] |
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Format: |
Artikel |
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Erschienen: |
1988 |
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Anmerkung: |
© 1946 – 2014: Verlag der Zeitschrift für Naturforschung |
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Übergeordnetes Werk: |
Enthalten in: Zeitschrift für Naturforschung. A, Physical sciences - Verlag der Zeitschrift für Naturforschung, 1947, 43(1988), 1 vom: 01. Jan., Seite 65-72 |
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Übergeordnetes Werk: |
volume:43 ; year:1988 ; number:1 ; day:01 ; month:01 ; pages:65-72 |
Links: |
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DOI / URN: |
10.1515/zna-1988-0109 |
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Katalog-ID: |
OLC2137296780 |
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520 | |a Abstract The molecular Legendre transformed representations are reexamined. They correspond to alternative sets of parameters defining the constraints imposed on the system. In the global description the molecular (equilibrium) states are defined by the global state parameter G = (N or μ) and the state function f (r) = [υ(r) or n(r)]; N is the system number of electrons, μ its chemical potential, υ stands for the external potential due to the nuclei, and n is the electron density. In the local description, capable of defining non-equilibrium molecular density distributions, the state is defined by two state functions, g(r) = [n(r) or μ (r)] and f (r); here μ (r) is the local chemical potential of the electron distribution in small volume element around r. The Maxwell cross differentiation identities in both approaches, relating various molecular sensitivities, are physically interpreted. A qualitative discussion of general relations between molecular sensitivities is given and their physical content and possible applications are commented upon. | ||
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10.1515/zna-1988-0109 doi (DE-627)OLC2137296780 (DE-B1597)zna-1988-0109-p DE-627 ger DE-627 rakwb 530 VZ Nalewajski, Roman F. verfasserin aut General Relations between Molecular Sensitivities and Their Physical Content 1988 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © 1946 – 2014: Verlag der Zeitschrift für Naturforschung Abstract The molecular Legendre transformed representations are reexamined. They correspond to alternative sets of parameters defining the constraints imposed on the system. In the global description the molecular (equilibrium) states are defined by the global state parameter G = (N or μ) and the state function f (r) = [υ(r) or n(r)]; N is the system number of electrons, μ its chemical potential, υ stands for the external potential due to the nuclei, and n is the electron density. In the local description, capable of defining non-equilibrium molecular density distributions, the state is defined by two state functions, g(r) = [n(r) or μ (r)] and f (r); here μ (r) is the local chemical potential of the electron distribution in small volume element around r. The Maxwell cross differentiation identities in both approaches, relating various molecular sensitivities, are physically interpreted. A qualitative discussion of general relations between molecular sensitivities is given and their physical content and possible applications are commented upon. Enthalten in Zeitschrift für Naturforschung. A, Physical sciences Verlag der Zeitschrift für Naturforschung, 1947 43(1988), 1 vom: 01. Jan., Seite 65-72 (DE-627)129307378 (DE-600)124634-3 (DE-576)01450491X 0932-0784 nnns volume:43 year:1988 number:1 day:01 month:01 pages:65-72 https://doi.org/10.1515/zna-1988-0109 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OLC-AST SSG-OLC-FOR SSG-OPC-FOR SSG-OPC-AST GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_47 GBV_ILN_55 GBV_ILN_59 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_105 GBV_ILN_120 GBV_ILN_121 GBV_ILN_130 GBV_ILN_150 GBV_ILN_170 GBV_ILN_193 GBV_ILN_267 GBV_ILN_285 GBV_ILN_602 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2011 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2026 GBV_ILN_2185 GBV_ILN_2192 GBV_ILN_2221 GBV_ILN_2237 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4027 GBV_ILN_4028 GBV_ILN_4029 GBV_ILN_4035 GBV_ILN_4036 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4116 GBV_ILN_4126 GBV_ILN_4155 GBV_ILN_4193 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4302 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4309 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4314 GBV_ILN_4315 GBV_ILN_4316 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4321 GBV_ILN_4323 GBV_ILN_4700 AR 43 1988 1 01 01 65-72 |
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10.1515/zna-1988-0109 doi (DE-627)OLC2137296780 (DE-B1597)zna-1988-0109-p DE-627 ger DE-627 rakwb 530 VZ Nalewajski, Roman F. verfasserin aut General Relations between Molecular Sensitivities and Their Physical Content 1988 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © 1946 – 2014: Verlag der Zeitschrift für Naturforschung Abstract The molecular Legendre transformed representations are reexamined. They correspond to alternative sets of parameters defining the constraints imposed on the system. In the global description the molecular (equilibrium) states are defined by the global state parameter G = (N or μ) and the state function f (r) = [υ(r) or n(r)]; N is the system number of electrons, μ its chemical potential, υ stands for the external potential due to the nuclei, and n is the electron density. In the local description, capable of defining non-equilibrium molecular density distributions, the state is defined by two state functions, g(r) = [n(r) or μ (r)] and f (r); here μ (r) is the local chemical potential of the electron distribution in small volume element around r. The Maxwell cross differentiation identities in both approaches, relating various molecular sensitivities, are physically interpreted. A qualitative discussion of general relations between molecular sensitivities is given and their physical content and possible applications are commented upon. Enthalten in Zeitschrift für Naturforschung. A, Physical sciences Verlag der Zeitschrift für Naturforschung, 1947 43(1988), 1 vom: 01. Jan., Seite 65-72 (DE-627)129307378 (DE-600)124634-3 (DE-576)01450491X 0932-0784 nnns volume:43 year:1988 number:1 day:01 month:01 pages:65-72 https://doi.org/10.1515/zna-1988-0109 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OLC-AST SSG-OLC-FOR SSG-OPC-FOR SSG-OPC-AST GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_47 GBV_ILN_55 GBV_ILN_59 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_105 GBV_ILN_120 GBV_ILN_121 GBV_ILN_130 GBV_ILN_150 GBV_ILN_170 GBV_ILN_193 GBV_ILN_267 GBV_ILN_285 GBV_ILN_602 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2011 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2026 GBV_ILN_2185 GBV_ILN_2192 GBV_ILN_2221 GBV_ILN_2237 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4027 GBV_ILN_4028 GBV_ILN_4029 GBV_ILN_4035 GBV_ILN_4036 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4116 GBV_ILN_4126 GBV_ILN_4155 GBV_ILN_4193 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4302 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4309 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4314 GBV_ILN_4315 GBV_ILN_4316 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4321 GBV_ILN_4323 GBV_ILN_4700 AR 43 1988 1 01 01 65-72 |
allfields_unstemmed |
10.1515/zna-1988-0109 doi (DE-627)OLC2137296780 (DE-B1597)zna-1988-0109-p DE-627 ger DE-627 rakwb 530 VZ Nalewajski, Roman F. verfasserin aut General Relations between Molecular Sensitivities and Their Physical Content 1988 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © 1946 – 2014: Verlag der Zeitschrift für Naturforschung Abstract The molecular Legendre transformed representations are reexamined. They correspond to alternative sets of parameters defining the constraints imposed on the system. In the global description the molecular (equilibrium) states are defined by the global state parameter G = (N or μ) and the state function f (r) = [υ(r) or n(r)]; N is the system number of electrons, μ its chemical potential, υ stands for the external potential due to the nuclei, and n is the electron density. In the local description, capable of defining non-equilibrium molecular density distributions, the state is defined by two state functions, g(r) = [n(r) or μ (r)] and f (r); here μ (r) is the local chemical potential of the electron distribution in small volume element around r. The Maxwell cross differentiation identities in both approaches, relating various molecular sensitivities, are physically interpreted. A qualitative discussion of general relations between molecular sensitivities is given and their physical content and possible applications are commented upon. Enthalten in Zeitschrift für Naturforschung. A, Physical sciences Verlag der Zeitschrift für Naturforschung, 1947 43(1988), 1 vom: 01. Jan., Seite 65-72 (DE-627)129307378 (DE-600)124634-3 (DE-576)01450491X 0932-0784 nnns volume:43 year:1988 number:1 day:01 month:01 pages:65-72 https://doi.org/10.1515/zna-1988-0109 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OLC-AST SSG-OLC-FOR SSG-OPC-FOR SSG-OPC-AST GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_47 GBV_ILN_55 GBV_ILN_59 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_105 GBV_ILN_120 GBV_ILN_121 GBV_ILN_130 GBV_ILN_150 GBV_ILN_170 GBV_ILN_193 GBV_ILN_267 GBV_ILN_285 GBV_ILN_602 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2011 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2026 GBV_ILN_2185 GBV_ILN_2192 GBV_ILN_2221 GBV_ILN_2237 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4027 GBV_ILN_4028 GBV_ILN_4029 GBV_ILN_4035 GBV_ILN_4036 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4116 GBV_ILN_4126 GBV_ILN_4155 GBV_ILN_4193 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4302 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4309 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4314 GBV_ILN_4315 GBV_ILN_4316 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4321 GBV_ILN_4323 GBV_ILN_4700 AR 43 1988 1 01 01 65-72 |
allfieldsGer |
10.1515/zna-1988-0109 doi (DE-627)OLC2137296780 (DE-B1597)zna-1988-0109-p DE-627 ger DE-627 rakwb 530 VZ Nalewajski, Roman F. verfasserin aut General Relations between Molecular Sensitivities and Their Physical Content 1988 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © 1946 – 2014: Verlag der Zeitschrift für Naturforschung Abstract The molecular Legendre transformed representations are reexamined. They correspond to alternative sets of parameters defining the constraints imposed on the system. In the global description the molecular (equilibrium) states are defined by the global state parameter G = (N or μ) and the state function f (r) = [υ(r) or n(r)]; N is the system number of electrons, μ its chemical potential, υ stands for the external potential due to the nuclei, and n is the electron density. In the local description, capable of defining non-equilibrium molecular density distributions, the state is defined by two state functions, g(r) = [n(r) or μ (r)] and f (r); here μ (r) is the local chemical potential of the electron distribution in small volume element around r. The Maxwell cross differentiation identities in both approaches, relating various molecular sensitivities, are physically interpreted. A qualitative discussion of general relations between molecular sensitivities is given and their physical content and possible applications are commented upon. Enthalten in Zeitschrift für Naturforschung. A, Physical sciences Verlag der Zeitschrift für Naturforschung, 1947 43(1988), 1 vom: 01. Jan., Seite 65-72 (DE-627)129307378 (DE-600)124634-3 (DE-576)01450491X 0932-0784 nnns volume:43 year:1988 number:1 day:01 month:01 pages:65-72 https://doi.org/10.1515/zna-1988-0109 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OLC-AST SSG-OLC-FOR SSG-OPC-FOR SSG-OPC-AST GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_47 GBV_ILN_55 GBV_ILN_59 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_105 GBV_ILN_120 GBV_ILN_121 GBV_ILN_130 GBV_ILN_150 GBV_ILN_170 GBV_ILN_193 GBV_ILN_267 GBV_ILN_285 GBV_ILN_602 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2011 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2026 GBV_ILN_2185 GBV_ILN_2192 GBV_ILN_2221 GBV_ILN_2237 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4027 GBV_ILN_4028 GBV_ILN_4029 GBV_ILN_4035 GBV_ILN_4036 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4116 GBV_ILN_4126 GBV_ILN_4155 GBV_ILN_4193 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4302 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4309 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4314 GBV_ILN_4315 GBV_ILN_4316 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4321 GBV_ILN_4323 GBV_ILN_4700 AR 43 1988 1 01 01 65-72 |
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10.1515/zna-1988-0109 doi (DE-627)OLC2137296780 (DE-B1597)zna-1988-0109-p DE-627 ger DE-627 rakwb 530 VZ Nalewajski, Roman F. verfasserin aut General Relations between Molecular Sensitivities and Their Physical Content 1988 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © 1946 – 2014: Verlag der Zeitschrift für Naturforschung Abstract The molecular Legendre transformed representations are reexamined. They correspond to alternative sets of parameters defining the constraints imposed on the system. In the global description the molecular (equilibrium) states are defined by the global state parameter G = (N or μ) and the state function f (r) = [υ(r) or n(r)]; N is the system number of electrons, μ its chemical potential, υ stands for the external potential due to the nuclei, and n is the electron density. In the local description, capable of defining non-equilibrium molecular density distributions, the state is defined by two state functions, g(r) = [n(r) or μ (r)] and f (r); here μ (r) is the local chemical potential of the electron distribution in small volume element around r. The Maxwell cross differentiation identities in both approaches, relating various molecular sensitivities, are physically interpreted. A qualitative discussion of general relations between molecular sensitivities is given and their physical content and possible applications are commented upon. Enthalten in Zeitschrift für Naturforschung. A, Physical sciences Verlag der Zeitschrift für Naturforschung, 1947 43(1988), 1 vom: 01. Jan., Seite 65-72 (DE-627)129307378 (DE-600)124634-3 (DE-576)01450491X 0932-0784 nnns volume:43 year:1988 number:1 day:01 month:01 pages:65-72 https://doi.org/10.1515/zna-1988-0109 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OLC-AST SSG-OLC-FOR SSG-OPC-FOR SSG-OPC-AST GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_47 GBV_ILN_55 GBV_ILN_59 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_105 GBV_ILN_120 GBV_ILN_121 GBV_ILN_130 GBV_ILN_150 GBV_ILN_170 GBV_ILN_193 GBV_ILN_267 GBV_ILN_285 GBV_ILN_602 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2011 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2026 GBV_ILN_2185 GBV_ILN_2192 GBV_ILN_2221 GBV_ILN_2237 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4027 GBV_ILN_4028 GBV_ILN_4029 GBV_ILN_4035 GBV_ILN_4036 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4116 GBV_ILN_4126 GBV_ILN_4155 GBV_ILN_4193 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4302 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4309 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4314 GBV_ILN_4315 GBV_ILN_4316 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4321 GBV_ILN_4323 GBV_ILN_4700 AR 43 1988 1 01 01 65-72 |
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Abstract The molecular Legendre transformed representations are reexamined. They correspond to alternative sets of parameters defining the constraints imposed on the system. In the global description the molecular (equilibrium) states are defined by the global state parameter G = (N or μ) and the state function f (r) = [υ(r) or n(r)]; N is the system number of electrons, μ its chemical potential, υ stands for the external potential due to the nuclei, and n is the electron density. In the local description, capable of defining non-equilibrium molecular density distributions, the state is defined by two state functions, g(r) = [n(r) or μ (r)] and f (r); here μ (r) is the local chemical potential of the electron distribution in small volume element around r. The Maxwell cross differentiation identities in both approaches, relating various molecular sensitivities, are physically interpreted. A qualitative discussion of general relations between molecular sensitivities is given and their physical content and possible applications are commented upon. © 1946 – 2014: Verlag der Zeitschrift für Naturforschung |
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Abstract The molecular Legendre transformed representations are reexamined. They correspond to alternative sets of parameters defining the constraints imposed on the system. In the global description the molecular (equilibrium) states are defined by the global state parameter G = (N or μ) and the state function f (r) = [υ(r) or n(r)]; N is the system number of electrons, μ its chemical potential, υ stands for the external potential due to the nuclei, and n is the electron density. In the local description, capable of defining non-equilibrium molecular density distributions, the state is defined by two state functions, g(r) = [n(r) or μ (r)] and f (r); here μ (r) is the local chemical potential of the electron distribution in small volume element around r. The Maxwell cross differentiation identities in both approaches, relating various molecular sensitivities, are physically interpreted. A qualitative discussion of general relations between molecular sensitivities is given and their physical content and possible applications are commented upon. © 1946 – 2014: Verlag der Zeitschrift für Naturforschung |
abstract_unstemmed |
Abstract The molecular Legendre transformed representations are reexamined. They correspond to alternative sets of parameters defining the constraints imposed on the system. In the global description the molecular (equilibrium) states are defined by the global state parameter G = (N or μ) and the state function f (r) = [υ(r) or n(r)]; N is the system number of electrons, μ its chemical potential, υ stands for the external potential due to the nuclei, and n is the electron density. In the local description, capable of defining non-equilibrium molecular density distributions, the state is defined by two state functions, g(r) = [n(r) or μ (r)] and f (r); here μ (r) is the local chemical potential of the electron distribution in small volume element around r. The Maxwell cross differentiation identities in both approaches, relating various molecular sensitivities, are physically interpreted. A qualitative discussion of general relations between molecular sensitivities is given and their physical content and possible applications are commented upon. © 1946 – 2014: Verlag der Zeitschrift für Naturforschung |
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title_short |
General Relations between Molecular Sensitivities and Their Physical Content |
url |
https://doi.org/10.1515/zna-1988-0109 |
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