Linear Electric Field Effect in Paramagnetic Resonance for CdS:<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">Mn</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>

Kiel, A.; Mims, W. B.

doi:10.1103/physrevb.5.803

Cited by 29 publications

(16 citation statements)

References 15 publications

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“…, if 1 al -71 and 1 p -I a r e assumed to be approximately an order of F magnitude less than I h I . This would be consistent with reference(4), where V has been calculated for impurities in CdS using the "induced crystal-field model".In the spherical harmonic expansion of V given in reference (4) there a r e actually t e r m s of the V type. In particular, for F I 1 d the coefficient of the V " type combi-F F nation of spherical harmonics (called "cubic" part in (4)) is about one order smaller than the coefficient (a ) of the dominant V The author is grateful to Prof. E. Gutsche for valuable comments and to Dr.H.W.…”

supporting

confidence: 89%

On the Polarization of Linear Electroabsorption Spectra Due to Impurities in Wurtzite Type Crystals

Boyn

1975

Physica Status Solidi (b)

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supporting

confidence: 89%

On the Polarization of Linear Electroabsorption Spectra Due to Impurities in Wurtzite Type Crystals

Boyn

1975

Physica Status Solidi (b)

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“…As the energy separation 3 d 4 f has been not reported, we will use the approximate value AE E(3d)-E(4p) = = -1.25 x 106 cm-l [16]. The potential coefficients of the trigonal crystal field were calculated in [6] as being due to the electrostatic interaction between the nearly tetrahedrally coordinated Mn2+ ion and the ideal CdS lattice; they are listed for Co2+ in Table 1A. The effects of covalency will be neglected.…”

Section: Trigonal Crystal Fiezd Splittingsmentioning

confidence: 99%

“…The mechanisms (i) and (ii) result in the appearance of new electric dipoles in the environment of the impurity ion. These field-induced dipole moments give rise to an induced change of the crystal field potential [6] with j numerating the lattice ions. The field-induced dipole nioments were calculated in [6] in terms of the classical theory of dielectrics, assuming an identical field-induced displacement of the impurity ion and of the Cd ions.…”

Section: Linear Stark Effect On Cds:co2+mentioning

confidence: 99%

“…These field-induced dipole moments give rise to an induced change of the crystal field potential [6] with j numerating the lattice ions. The field-induced dipole nioments were calculated in [6] in terms of the classical theory of dielectrics, assuming an identical field-induced displacement of the impurity ion and of the Cd ions. The effect of the odd-parity parts in (14), representing the field-induced change of the 3 d 4 p , -4f mixing, will be accounted for by means of the equivalent evenparity electric field, see (2) and [ 6 ] .…”

Section: Linear Stark Effect On Cds:co2+mentioning

confidence: 99%

“…The weak crystal field scheme of Liehr [4] will be generalized to account for the equivalent even-parity crystal field [5]. The externally applied electric field will be supposed to introduce fie.ld-induced dipole moments [6], and an equivalent even-parity electric field [5], changing the crystal field parameters. The calculations are restricted to the P I I c case, for which t,he most complete information is available,…”

Section: Introductionmentioning

confidence: 99%

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Linear Electroabsorption Due to Substitutional Deep Impurities in Wurtzite‐Type Crystals. III. Model Analysis of Co²⁺ in CdS

Gardavský

1975

Physica Status Solidi (b)

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BY Model Analysis of CoO+ in CdSl)J. GARDAVSKP Axial crystal field and Stark effect splittings are calculated and compared with experimental values. Reversed splitting pattern of 4T,(4F) is accounted for by the equivalent evenparity field. The field-induced changes of the absorption band intensities are explained as being due to the field-induced change of the equivalent even-parity dipole moment operator. The perturbed absorption spectra obey sum rules suggesting a conservation of the f-sum rule already within the 3d7 configuration. A pronounced enhancement of the Stark effect through the axial crystal field is discussed. Die Aufspaltungen durch das axiale Kristallfeld und den Stark-Effekt werden berechnet und mit experimentellen Werten verglichen. Das umgekehrte Aufspaltungsschema von 4T,(4F) wird durch das aquivalente Feld gerader Paritat beriicksiohtigt. Die feldinduziertenAnderungen der Bandenintensitaten werden durch die feldinduzierten hderungen des iiquivalenten Dipolmomentenoperators gerader Paritiit erklart. Die gestorten Absorptionsspektren gehorchen Summenregeln, die die Erhaltung der f-Summenregel schon innerhalb der 3d7-Konfiguration nahelegen. Eine ausgepriigte Verstarkung des Stark-Effektes durch das axiale Kristallfeld wird diskutiert.

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Linear electroabsorption due to substitutional deep impurities in wurtzite‐type crystals: 1. Theoretical analysis for A → T absorption bands

Boyn

Gardavský

1975

Physica Status Solidi (b)

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Theoretical Analysis for A + T Absorption Bands1) R. BOYN and J. GARDAVSKP~) BYA theoretical study is made of the first-order effects of an external electric field on optical transitions between strongly localized electronic states of isolated substitutional impurities in a wurtzite-type crystal taking into account the near-tetrahedral symmetry of these centers. The field effect on optical absorption bands due to A + T type transitions is treated on the basis of the method of moments which is extended to include mixing with the A ground level. The field-induced changes of the zeroth and first moment (corresponding to changes in transition probability and t o the Stark splitting, respectively) are calculated as functions of field and polarization direction. The polarization dependence of the zero-field moments which is due to the axial part of the impurity potential is also discussed. On the basis of a rigid-shift approximation a brief semi-phenomenological treatment is given of the field-induced changes in band shape.Die Effekte erster Ordnung eines auderen elektrischen Feldes auf optische ubergange zwischen stark lokalisierten Elektronenzustanden von isolierten Substitutionsstorstellen in Wurtzitkristallen werden theoretisch untersucht, wobei die angenaherte Tetracdersymmetrie dieser Zentren berucksichtigt wird. Der FeldeinfluD auf optische A -T-Absorptionsbanden wird auf der Basis der Momentenmethode behandelt, die auf den Fall der Mischung mit dem A-Grundzustand verallgemeinert wird. Die feldinduzierten Bnderungen des nullten und ersten Moments (die Bnderungen der Ubergangswahrscheinlichkeit bzw. der Stark-Aufspaltung entsprechen), werden als Funktion der Feld-und Polarisationsrichtung berechnet. Die Polarisationsabhlngigkeit der Nullfeld-Momente, die durch den axialen Anteil des Storstellenpotentials bedingt ist, wird ebenfalls diskutiert. Auf der Grundlage der Naherung der starren Verschiebung erfolgt eine halbphanomenologische Behandlung der feldinduzierten h d e r u n g e n der Bandenform. IntroductionFor inipurity systems which do not possess inversion symmetry a linear Stark effect (LSE) may occur. Earlier studies of this effect have been concentrated on host crystals with inversion-symmetrical lattice sites, in particular alkali halides. I n this group of crystals a LSE is exhibited only by associate-type centers (e.g. [l to 3]), whereas the Stark effect on simple isolated defects (e.g. F-centers, $-type substitutional impurities) is quadratic (e.g. [4 to 71). I n substances in which the site symmetrygroup does not contain the inversion, an LSE is possible also for isolated substitutional impurities. There are relatively 1) The experimental and theoretical results presented in this work are part of the Ph. D. thesis of RNDr. J. Gardavskf, with scholarship of the Czechoslovak Ministery of Education.2) Present address: Institute of Physics of the Charles University, 121 16 Praha 2, Czechoslovakia. 18'

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Linear Electric Field Effect in Paramagnetic Resonance for CdS:Mn2+

Cited by 29 publications

References 15 publications

On the Polarization of Linear Electroabsorption Spectra Due to Impurities in Wurtzite Type Crystals

On the Polarization of Linear Electroabsorption Spectra Due to Impurities in Wurtzite Type Crystals

Linear Electroabsorption Due to Substitutional Deep Impurities in Wurtzite‐Type Crystals. III. Model Analysis of Co²⁺ in CdS

Linear electroabsorption due to substitutional deep impurities in wurtzite‐type crystals: 1. Theoretical analysis for A → T absorption bands

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Linear Electric Field Effect in Paramagnetic Resonance for CdS:Mn2+

Cited by 29 publications

References 15 publications

On the Polarization of Linear Electroabsorption Spectra Due to Impurities in Wurtzite Type Crystals

On the Polarization of Linear Electroabsorption Spectra Due to Impurities in Wurtzite Type Crystals

Linear Electroabsorption Due to Substitutional Deep Impurities in Wurtzite‐Type Crystals. III. Model Analysis of Co2+ in CdS

Linear electroabsorption due to substitutional deep impurities in wurtzite‐type crystals: 1. Theoretical analysis for A → T absorption bands

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Linear Electroabsorption Due to Substitutional Deep Impurities in Wurtzite‐Type Crystals. III. Model Analysis of Co²⁺ in CdS