• Keine Ergebnisse gefunden

and Tl+ impurities has been measured and compared with the calculated density of phonon states of the host lattice

N/A
N/A
Protected

Academic year: 2022

Aktie "and Tl+ impurities has been measured and compared with the calculated density of phonon states of the host lattice"

Copied!
2
0
0

Wird geladen.... (Jetzt Volltext ansehen)

Volltext

(1)

Volume 3 number 6 OPTICS COMMUNICATIONS August 1971

FAR-INFRARED ABSORPTION DUE TO IMPURITIES IN CsBr CRYSTALS

W. PRETTL Max-Planck-Institut fir Festkiirperforschung,

Universittit, Freiburg, Germany Received 16 June 1971

The absorption in the phonon band of CsBr due to Na+. K+, Rb+, In+. and Tl+ impurities has been measured and compared with the calculated density of phonon states of the host lattice.

In a previous paper [l] we reported impurity induced absorption in CsI crystals.

Now we present the corresponding

far-infrared from 10 cm-l up to about ‘70 cm-l. At higher frequencies the absorp- tion of the host lattice strongly increased due to its fundamental vibration at 79.1 cm-l.

The In+ doped sample was grown with the vacuum Bridgeman method. Its impurity concen- tration is only approximately

spectroscopy. This method failed for Rb because its emission lines are too near to that of Cs.

Thus, the concentration

calorimetric analysis. The conditions were the same as described in ref. [l].

The impurity induced absorption measured at sample of about 6OK are shown in fig. 1. For the purpose of comparison the phonon density of states calculated by H. Jex [2] using Schroder’s BSM [3] is also plotted in fig. 1 and the phonon frequencies at critical points are in- dicated by the corresponding

I 9 I

’ - - CsBr:K+

I - 9.5.lO-~mo/ % 2 _ ---- CsBr :Rb+

-.- Cs8r:Na’

30 40 53 60 70

frequency [cm-11

407

(2)

Volume 3, number 6 OPTICS COMMUNICATIONS August 1971 The absorption spectra of all doped CsBr

crystals turned out to be very similar to that of CsI [l]. In the frequency range where the phonon density of states is large, all impurities cause a broad absorption. The K+ and Rb+ doped samples exhibit distinct absorption bands in the vicinity of 40 cm-l. This structure is also found in CsBr:Na+ but to a lesser extent. These bands can be due either to an activated peak in the den- sity of states of the host crystal or to an impurity resonance. The first explanation is supported by the fact that the absorption bands occur approxi- mately at the calculated frequencies of the phonons at critical points M&(TA), Mi and Xj(TA). It is just these critical points which become optically active by introducing impurities which substitute Cs+ ions. On the other hand in CsI doped with Na+, K+ and Rb+ corresponding absorption maxima occurred at the same relative frequencies com- pared with the density of states. In a theoretical study based on the BSM, T. P. Martin showed that those bands are due to incipient impurity res- onances rather than to activated peaks in the density of states [4]. Assuming this result to be valid also for CsBr yields some discrepancies between our measurements and the calculated density of states, because a resonance occurring at a maximum in the phonon density would be smeared out. To clarify this question a theoreti-

cal investigation using a realistic defect model is necessary.

In” and Tl+ impurities induce low frequency narrow resonances the properties of which have already been discussed [5]. At higher frequencies the absorption curves do not bear any resemblance to the phonon density. This might result from the weak coupling of these impurities to the lattice which is indicated by the low frequency resonant modes.

We thank Professor Dr. L. Genzel, Dr. T. P.

Martin and Dr. H. Jex for many interesting dis- cussions. We are also indebted to Dipl. Phys. M.

Schuhmacher who grew the crystals and to Dr. K. Maier, University of Regensburg, who placed the In+ doped sample at our disposal.

The support of the Michelson interferometer by the Deutsche Forschungsgemeinschaft is gratefully appreciated.

.

REFERENCES .

[l] L. Genzel, W. Prettl and E. Siep, Opt. Commun. 1 (1969) 28.

[Z] H. Jex, private communication.

[3] V. Nffsslein and U. Schrtider, Phys. Stat. Sol. 21 (1967) 309.

[4] T. P. Martin, J. Phys. C. , to be published.

[5] W. Prettl and E. Siep, Phys. Stat. Sol. 44b (1971) 759.

408

Referenzen

ÄHNLICHE DOKUMENTE

While in the limit of very small and infinite correlation lengths ξ of the random disor- der, the fluctuating gap model (FGM) admits for an exact analytic calculation of the density

After defining the contemporary challenges facing many Muslim-majority societies today in the first three chapters, Kuru analyses the development of state–society rela- tions

For asymmetric contacts, more secondary gaps can emerge near a phase difference ϕ = π and close to zero energy, see Fig.. In a general context, we have demonstrated an emer- gence

These conditions apply when the Fermi level lies within the bandgap, but away from its edges by an energy of a least several KT (at room temperature KT ≈

HEYMANN: Cardiac Output in the fetal lamb: the effects of spontaneous and indiiced dianges of heart rate on right and left ventricular Output. -Frauenklinik

Based on previous work on low-energy quasiparticle states 4,5 , we identify three classes of processes that can effect the low-energy DOS of a disordered d-wave su- perconductor:

The work is structured as follows: Chapter 2 gives a short introduction to the methods used in the following chapters to calculate the average density of states in the

The for- mation of the maximally entangled two qubit phonon states can be obtained by the coupling of the CNT and two single electron spins or two spin-valley mixed qubits in two