Electron spectrum and optical constants of ferroelectrics with hydrogen bonds
The electron energy spectrum of the KDP-type crystals in the ferroelectric phase is calculated using the tight-binding approximation. We proceed from the basis of Bloch functions taking into account the 3s and 3p orbitals of the phosphorus, 2p orbitals of the oxygen and 1s orbitals of the hydrogen....
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Stasyuk, I. V. [verfasserIn] Stetsiv, R. Y. [verfasserIn] |
|---|
| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2011 |
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| Übergeordnetes Werk: |
Enthalten in: Ferroelectrics - London [u.a.] : Taylor & Francis, 1970, 144(1993), 1 vom: 01. Juli, Seite 195-206 |
|---|---|
| Übergeordnetes Werk: |
number:1 ; volume:144 ; year:1993 ; month:07 ; day:01 ; pages:195-206 |
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10.1080/00150199308008644 |
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| 520 | |a The electron energy spectrum of the KDP-type crystals in the ferroelectric phase is calculated using the tight-binding approximation. We proceed from the basis of Bloch functions taking into account the 3s and 3p orbitals of the phosphorus, 2p orbitals of the oxygen and 1s orbitals of the hydrogen. In the case of the high-symmetry points q of Brillouin zone we have constructed the basis of symmetrized combinations of Bloch functions which correspond to the irreducible representations of the q wave vector group. The dependence of electron spectrum on wave vector q along the main directions of Brillouin zone is investigated. The obtained double degeneration of the electron spectrum at the Brillouin zone edge is connected with the invariance of Schrodinger equation with respect to the inversion of time. The joint electron density was calculated. Its frequency dependence is investigated. The matrix elements of electric dipole moment on the basis of Bloch-type wave functions are calculated. Real and imaginary parts of the dielectric permeability for different polarizations of light are determined. The refraction index and extinction coefficient are obtained. | ||
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10.1080/00150199308008644 doi (DE-627)NLEJ252068785 (TFO)752001677 DE-627 ger DE-627 rda eng Stasyuk, I. V. verfasserin aut Electron spectrum and optical constants of ferroelectrics with hydrogen bonds 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The electron energy spectrum of the KDP-type crystals in the ferroelectric phase is calculated using the tight-binding approximation. We proceed from the basis of Bloch functions taking into account the 3s and 3p orbitals of the phosphorus, 2p orbitals of the oxygen and 1s orbitals of the hydrogen. In the case of the high-symmetry points q of Brillouin zone we have constructed the basis of symmetrized combinations of Bloch functions which correspond to the irreducible representations of the q wave vector group. The dependence of electron spectrum on wave vector q along the main directions of Brillouin zone is investigated. The obtained double degeneration of the electron spectrum at the Brillouin zone edge is connected with the invariance of Schrodinger equation with respect to the inversion of time. The joint electron density was calculated. Its frequency dependence is investigated. The matrix elements of electric dipole moment on the basis of Bloch-type wave functions are calculated. Real and imaginary parts of the dielectric permeability for different polarizations of light are determined. The refraction index and extinction coefficient are obtained. Stetsiv, R. Y. verfasserin aut Enthalten in Ferroelectrics London [u.a.] : Taylor & Francis, 1970 144(1993), 1 vom: 01. Juli, Seite 195-206 Online-Ressource (DE-627)NLEJ252047974 (DE-600)2042895-9 (DE-576)263253996 1563-5112 nnns number:1 volume:144 year:1993 month:07 day:01 pages:195-206 https://www.tib.eu/de/suchen/id/tandf%3Aa5947c70ef7f963f4f3ab164ffe8be83e18cebe8 Digitalisierung Deutschlandweit zugänglich ZDB-1-TFO GBV_NL_ARTICLE AR 1 144 1993 7 01 195-206 |
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10.1080/00150199308008644 doi (DE-627)NLEJ252068785 (TFO)752001677 DE-627 ger DE-627 rda eng Stasyuk, I. V. verfasserin aut Electron spectrum and optical constants of ferroelectrics with hydrogen bonds 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The electron energy spectrum of the KDP-type crystals in the ferroelectric phase is calculated using the tight-binding approximation. We proceed from the basis of Bloch functions taking into account the 3s and 3p orbitals of the phosphorus, 2p orbitals of the oxygen and 1s orbitals of the hydrogen. In the case of the high-symmetry points q of Brillouin zone we have constructed the basis of symmetrized combinations of Bloch functions which correspond to the irreducible representations of the q wave vector group. The dependence of electron spectrum on wave vector q along the main directions of Brillouin zone is investigated. The obtained double degeneration of the electron spectrum at the Brillouin zone edge is connected with the invariance of Schrodinger equation with respect to the inversion of time. The joint electron density was calculated. Its frequency dependence is investigated. The matrix elements of electric dipole moment on the basis of Bloch-type wave functions are calculated. Real and imaginary parts of the dielectric permeability for different polarizations of light are determined. The refraction index and extinction coefficient are obtained. Stetsiv, R. Y. verfasserin aut Enthalten in Ferroelectrics London [u.a.] : Taylor & Francis, 1970 144(1993), 1 vom: 01. Juli, Seite 195-206 Online-Ressource (DE-627)NLEJ252047974 (DE-600)2042895-9 (DE-576)263253996 1563-5112 nnns number:1 volume:144 year:1993 month:07 day:01 pages:195-206 https://www.tib.eu/de/suchen/id/tandf%3Aa5947c70ef7f963f4f3ab164ffe8be83e18cebe8 Digitalisierung Deutschlandweit zugänglich ZDB-1-TFO GBV_NL_ARTICLE AR 1 144 1993 7 01 195-206 |
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10.1080/00150199308008644 doi (DE-627)NLEJ252068785 (TFO)752001677 DE-627 ger DE-627 rda eng Stasyuk, I. V. verfasserin aut Electron spectrum and optical constants of ferroelectrics with hydrogen bonds 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The electron energy spectrum of the KDP-type crystals in the ferroelectric phase is calculated using the tight-binding approximation. We proceed from the basis of Bloch functions taking into account the 3s and 3p orbitals of the phosphorus, 2p orbitals of the oxygen and 1s orbitals of the hydrogen. In the case of the high-symmetry points q of Brillouin zone we have constructed the basis of symmetrized combinations of Bloch functions which correspond to the irreducible representations of the q wave vector group. The dependence of electron spectrum on wave vector q along the main directions of Brillouin zone is investigated. The obtained double degeneration of the electron spectrum at the Brillouin zone edge is connected with the invariance of Schrodinger equation with respect to the inversion of time. The joint electron density was calculated. Its frequency dependence is investigated. The matrix elements of electric dipole moment on the basis of Bloch-type wave functions are calculated. Real and imaginary parts of the dielectric permeability for different polarizations of light are determined. The refraction index and extinction coefficient are obtained. Stetsiv, R. Y. verfasserin aut Enthalten in Ferroelectrics London [u.a.] : Taylor & Francis, 1970 144(1993), 1 vom: 01. Juli, Seite 195-206 Online-Ressource (DE-627)NLEJ252047974 (DE-600)2042895-9 (DE-576)263253996 1563-5112 nnns number:1 volume:144 year:1993 month:07 day:01 pages:195-206 https://www.tib.eu/de/suchen/id/tandf%3Aa5947c70ef7f963f4f3ab164ffe8be83e18cebe8 Digitalisierung Deutschlandweit zugänglich ZDB-1-TFO GBV_NL_ARTICLE AR 1 144 1993 7 01 195-206 |
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10.1080/00150199308008644 doi (DE-627)NLEJ252068785 (TFO)752001677 DE-627 ger DE-627 rda eng Stasyuk, I. V. verfasserin aut Electron spectrum and optical constants of ferroelectrics with hydrogen bonds 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The electron energy spectrum of the KDP-type crystals in the ferroelectric phase is calculated using the tight-binding approximation. We proceed from the basis of Bloch functions taking into account the 3s and 3p orbitals of the phosphorus, 2p orbitals of the oxygen and 1s orbitals of the hydrogen. In the case of the high-symmetry points q of Brillouin zone we have constructed the basis of symmetrized combinations of Bloch functions which correspond to the irreducible representations of the q wave vector group. The dependence of electron spectrum on wave vector q along the main directions of Brillouin zone is investigated. The obtained double degeneration of the electron spectrum at the Brillouin zone edge is connected with the invariance of Schrodinger equation with respect to the inversion of time. The joint electron density was calculated. Its frequency dependence is investigated. The matrix elements of electric dipole moment on the basis of Bloch-type wave functions are calculated. Real and imaginary parts of the dielectric permeability for different polarizations of light are determined. The refraction index and extinction coefficient are obtained. Stetsiv, R. Y. verfasserin aut Enthalten in Ferroelectrics London [u.a.] : Taylor & Francis, 1970 144(1993), 1 vom: 01. Juli, Seite 195-206 Online-Ressource (DE-627)NLEJ252047974 (DE-600)2042895-9 (DE-576)263253996 1563-5112 nnns number:1 volume:144 year:1993 month:07 day:01 pages:195-206 https://www.tib.eu/de/suchen/id/tandf%3Aa5947c70ef7f963f4f3ab164ffe8be83e18cebe8 Digitalisierung Deutschlandweit zugänglich ZDB-1-TFO GBV_NL_ARTICLE AR 1 144 1993 7 01 195-206 |
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10.1080/00150199308008644 doi (DE-627)NLEJ252068785 (TFO)752001677 DE-627 ger DE-627 rda eng Stasyuk, I. V. verfasserin aut Electron spectrum and optical constants of ferroelectrics with hydrogen bonds 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The electron energy spectrum of the KDP-type crystals in the ferroelectric phase is calculated using the tight-binding approximation. We proceed from the basis of Bloch functions taking into account the 3s and 3p orbitals of the phosphorus, 2p orbitals of the oxygen and 1s orbitals of the hydrogen. In the case of the high-symmetry points q of Brillouin zone we have constructed the basis of symmetrized combinations of Bloch functions which correspond to the irreducible representations of the q wave vector group. The dependence of electron spectrum on wave vector q along the main directions of Brillouin zone is investigated. The obtained double degeneration of the electron spectrum at the Brillouin zone edge is connected with the invariance of Schrodinger equation with respect to the inversion of time. The joint electron density was calculated. Its frequency dependence is investigated. The matrix elements of electric dipole moment on the basis of Bloch-type wave functions are calculated. Real and imaginary parts of the dielectric permeability for different polarizations of light are determined. The refraction index and extinction coefficient are obtained. Stetsiv, R. Y. verfasserin aut Enthalten in Ferroelectrics London [u.a.] : Taylor & Francis, 1970 144(1993), 1 vom: 01. Juli, Seite 195-206 Online-Ressource (DE-627)NLEJ252047974 (DE-600)2042895-9 (DE-576)263253996 1563-5112 nnns number:1 volume:144 year:1993 month:07 day:01 pages:195-206 https://www.tib.eu/de/suchen/id/tandf%3Aa5947c70ef7f963f4f3ab164ffe8be83e18cebe8 Digitalisierung Deutschlandweit zugänglich ZDB-1-TFO GBV_NL_ARTICLE AR 1 144 1993 7 01 195-206 |
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Electron spectrum and optical constants of ferroelectrics with hydrogen bonds |
| abstract |
The electron energy spectrum of the KDP-type crystals in the ferroelectric phase is calculated using the tight-binding approximation. We proceed from the basis of Bloch functions taking into account the 3s and 3p orbitals of the phosphorus, 2p orbitals of the oxygen and 1s orbitals of the hydrogen. In the case of the high-symmetry points q of Brillouin zone we have constructed the basis of symmetrized combinations of Bloch functions which correspond to the irreducible representations of the q wave vector group. The dependence of electron spectrum on wave vector q along the main directions of Brillouin zone is investigated. The obtained double degeneration of the electron spectrum at the Brillouin zone edge is connected with the invariance of Schrodinger equation with respect to the inversion of time. The joint electron density was calculated. Its frequency dependence is investigated. The matrix elements of electric dipole moment on the basis of Bloch-type wave functions are calculated. Real and imaginary parts of the dielectric permeability for different polarizations of light are determined. The refraction index and extinction coefficient are obtained. |
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The electron energy spectrum of the KDP-type crystals in the ferroelectric phase is calculated using the tight-binding approximation. We proceed from the basis of Bloch functions taking into account the 3s and 3p orbitals of the phosphorus, 2p orbitals of the oxygen and 1s orbitals of the hydrogen. In the case of the high-symmetry points q of Brillouin zone we have constructed the basis of symmetrized combinations of Bloch functions which correspond to the irreducible representations of the q wave vector group. The dependence of electron spectrum on wave vector q along the main directions of Brillouin zone is investigated. The obtained double degeneration of the electron spectrum at the Brillouin zone edge is connected with the invariance of Schrodinger equation with respect to the inversion of time. The joint electron density was calculated. Its frequency dependence is investigated. The matrix elements of electric dipole moment on the basis of Bloch-type wave functions are calculated. Real and imaginary parts of the dielectric permeability for different polarizations of light are determined. The refraction index and extinction coefficient are obtained. |
| abstract_unstemmed |
The electron energy spectrum of the KDP-type crystals in the ferroelectric phase is calculated using the tight-binding approximation. We proceed from the basis of Bloch functions taking into account the 3s and 3p orbitals of the phosphorus, 2p orbitals of the oxygen and 1s orbitals of the hydrogen. In the case of the high-symmetry points q of Brillouin zone we have constructed the basis of symmetrized combinations of Bloch functions which correspond to the irreducible representations of the q wave vector group. The dependence of electron spectrum on wave vector q along the main directions of Brillouin zone is investigated. The obtained double degeneration of the electron spectrum at the Brillouin zone edge is connected with the invariance of Schrodinger equation with respect to the inversion of time. The joint electron density was calculated. Its frequency dependence is investigated. The matrix elements of electric dipole moment on the basis of Bloch-type wave functions are calculated. Real and imaginary parts of the dielectric permeability for different polarizations of light are determined. The refraction index and extinction coefficient are obtained. |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000naa a22002652 4500</leader><controlfield tag="001">NLEJ252068785</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20231206141247.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">231206s2011 xx |||||o 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1080/00150199308008644</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)NLEJ252068785</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(TFO)752001677</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Stasyuk, I. V.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Electron spectrum and optical constants of ferroelectrics with hydrogen bonds</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2011</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">The electron energy spectrum of the KDP-type crystals in the ferroelectric phase is calculated using the tight-binding approximation. We proceed from the basis of Bloch functions taking into account the 3s and 3p orbitals of the phosphorus, 2p orbitals of the oxygen and 1s orbitals of the hydrogen. In the case of the high-symmetry points q of Brillouin zone we have constructed the basis of symmetrized combinations of Bloch functions which correspond to the irreducible representations of the q wave vector group. The dependence of electron spectrum on wave vector q along the main directions of Brillouin zone is investigated. The obtained double degeneration of the electron spectrum at the Brillouin zone edge is connected with the invariance of Schrodinger equation with respect to the inversion of time. The joint electron density was calculated. Its frequency dependence is investigated. The matrix elements of electric dipole moment on the basis of Bloch-type wave functions are calculated. Real and imaginary parts of the dielectric permeability for different polarizations of light are determined. The refraction index and extinction coefficient are obtained.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Stetsiv, R. Y.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Ferroelectrics</subfield><subfield code="d">London [u.a.] : Taylor & Francis, 1970</subfield><subfield code="g">144(1993), 1 vom: 01. Juli, Seite 195-206</subfield><subfield code="h">Online-Ressource</subfield><subfield code="w">(DE-627)NLEJ252047974</subfield><subfield code="w">(DE-600)2042895-9</subfield><subfield code="w">(DE-576)263253996</subfield><subfield code="x">1563-5112</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">number:1</subfield><subfield code="g">volume:144</subfield><subfield code="g">year:1993</subfield><subfield code="g">month:07</subfield><subfield code="g">day:01</subfield><subfield code="g">pages:195-206</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://www.tib.eu/de/suchen/id/tandf%3Aa5947c70ef7f963f4f3ab164ffe8be83e18cebe8</subfield><subfield code="x">Digitalisierung</subfield><subfield code="z">Deutschlandweit zugänglich</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-1-TFO</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_NL_ARTICLE</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="e">1</subfield><subfield code="d">144</subfield><subfield code="j">1993</subfield><subfield code="c">7</subfield><subfield code="b">01</subfield><subfield code="h">195-206</subfield></datafield></record></collection>
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