Calculation of the Halfwidth and the Activation Energy for the Soft Raman Modes in the Brominated Compounds of Tris-Sarcosine Calcium Chloride

Authors

  • Ali Kiraci Inter-Curricular Courses Department, Cankaya University, Ankara, Turkey

DOI:

https://doi.org/10.48048/tis.2022.5689

Keywords:

Halfwidth (damping constant), Soft mode, Ising model, Activation energy, TSSC1−xBrx

Abstract

This letter contributes how to calculate the anomalous behavior for the damping constant (halfwidth) of the ferroelectric Tris-Sarcosine Calcium Chloride (TSSC) and its brominated compounds TSSC1−xBrx (x = 0.13, 0.42 and 0.60) from the wavenumber data of the soft modes below the phase transition temperature of TC.  The pseudospin-phonon coupled (PS) and the energy fluctuation (EF) models derived from the dynamical Ising model were used. Both PS and EF models have been used to contribute understanding the temperature dependence of the phase transition mechanism of TSSC1−xBrx. In addition, values of the activation energy for TSSC1−xBrx (x = 0, 0.13, 0.42 and 0.60) were extracted from the damping constant as calculated from both models (PS and EF). Our results indicate order-disorder type phase transition for TSSC1−xBrx.

HIGHLIGHTS

  • This work contributes how to calculating the critical behavior of the halfwidth for the soft Raman modes in ferroelectric TSSC1-xBrx (x = 0, 0.13, 0.42 and 0.60) liquid crystals from their observed wavenumbers data. Also, the values of the activation energy close to the ferroelectric-paraelectric phase transition of these crystals was deduced.
  • This calculation of the halfwidth and the activation energy were performed using the pseudospin-phonon coupled (PS) and the energy fluctuation (EF) models in the ferroelectric phases (T < TC) of the crystals studied here.


GRAPHICAL ABSTRACT

Downloads

Download data is not yet available.

References

Y Makita. Ferroelectricity in (CH3NHCH2COOH)3•CaCl2. J. Phys. Soc. Jpn. 1965; 20, 2073-80.

GE Feldkamp, JF Scott and W Windsch. Light scattering study of phase transitions in ferroelectric tris-sarcosine calcium chloride and its brominated isomorphs. Ferroelectrics 1981; 39, 1163-6.

SPP Jones, DM Evans, MA Carpenter, SAT Redfern, JF Scott, U Straube and VH Schimdt. Phase diagram and phase transitions in ferroelectric tris-sarcosine calcium chloride and its brominated isomorphs. Phys. Rev. B 2011; 83, 094102.

T Ashida, S Bando and M Kakudo. The crystal structure of trissarcosine calcium chloride. Acta Crystallogr. B 1972; B28, 1560-5.

M Mishima, K Ito and E Nakamura. Structure of calcium chloride-sarcosine (1/3), CaCl2.3C3H7NO2, in the ferroelectric phase. Acta Crystallogr. C 1984; 40, 1824-7.

G Sorge and U Straube. Dielectric behaviour of ferroelastic monodomain TSCC crystals. Phys. Status Solidi 1979; 51, 117-21.

SD Prokhorova, GA Smolensky, IG Siny, EG Kuzminov, VD Mikvabia and H Arndt. Light scattering study of the phase transition in TSCC. Ferroelectrics 1980; 25, 629-32.

M Sugo, M Kasahara, M Tokunaga and I Tatsuzaki. Raman scattering study of the soft mode in ferroelectric (CH3NHCH2COOH)3CaCl2. J. Phys. Soc. Jpn. 1984; 55, 3234-41.

T Chen and G Schaack. Spectroscopic investigation of the ferroelectric phase transition in tris-sarcosine calcium chloride: An order-disorder system with displacive features. I. Experimental results. J. Phys. C Solid State Phys. 1984; 17, 3801-20.

LC Brunel, JC Bureau, S Wartewig and W Windsch. Raman scattering study of the ferroelectric phase transition in tris-sarcosine calcium chloride (tscc). Chem. Phys. Lett. 1980; 72, 119-21.

T Chen, G Schaack and V Winterfeldt. Raman and infrared spectroscopy of tris-sarcosine calcium chloride bromide (TSCC1−xBx, 0 ≤ × ≤ 1). Ferroelectrics 1981; 39, 1131-4.

E Nakamura, K Ito, K Deguchi and N Mishima. Mechanism of the ferroelectric phase transition in tris-sarcosine calcium chloride. Jpn. J. Appl. Phys. 1985; 24, 393-5.

W Windsch, H Braeter and J Riedl. Concentration and temperature dependences of the order parameter and the soft optic mode of the solid solution TSCC and TSCB. Solid State Comm. 1985; 53, 621-5.

GV Kozlov, AA Volkov, JF Scott, GE Feldkamp and J Petzelt. Millimeter-wavelength spectroscopy of the ferroelectric phase transition in tris-sarcosine calcium chloride (CH3NHCH2COOH)•3CaCl2. Phys. Rev. B 1983; 28, 255-61.

D Michel, U Hacker, T Erge and J Petersson. NMR investigations of molecular motions and critical dynamics at the ferroelectric phase transition of tris-sarcosine calcium chloride. Phys. Status Solidi B 1994; 185, 257-64.

M Fujimoto, S Jerzek and W Windsch. Order-disorder dynamics of the ferroelectric phase transition in tris-sarcosine calcium chloride crystals. Phys. Rev. B 1986; 34, 1668-76.

K Lee, M Lee, KS Lee and AR Lim. 1H NMR study of the phase transitions of trissarcosine calcium chloride single crystals at low temperature. J. Phys. Chem. Solid. 2005; 66, 1739-43.

T Hikita, P Schnackenberg and VH Schmidt. Brillouin scattering study of the ferroelectric phase transition in tris-sarcosine calcium chloride. Phys. Rev. B 1985; 31, 299-303.

T Chen and G Schaack. Spectroscopic investigation of the ferroelectric phase transition in tris-sarcosine calcium chloride: An order-disorder system with displacive features. II. Soft modes in pseudo-spin-phonon coupled systems. J. Phys. C Solid State Phys. 1984; 17, 3821.

VH Schmidt. Cluster model for tris-sarcosine calcium chloride (TSCC) describing order-disorder and displacive features of its ferroelectric transition and its pressure-induced transition to an antiferroelectric phase. Ferroelectrics 1981; 39, 1151-4.

S Fujimoto and N Yasuda. Dielectric loss tangent of trissarcosine calcium chloride under hydrostatic pressure. Jpn. J. Appl. Phys. 1982; 21, 1386.

R Navalgund and LC Gupta. Electron paramagnetic resonance study of Mn2+ in ferroelectric lithium ammonium tartarate monohydrate. Solid State Comm. 1976; 19, 1205-7.

EV Treck and W Windsch. EPR investigations of solid solutions of TSCC and TSCB doped with Mn2+. Kristall und Tech. 1978; 13, 513-6.

S Fujimoto, N Yasuda, H Kashiki, K Takagi and M Fujimoto. Dielectric properties of solid solutions of trissarcosine calcium chloride (TSCC) and bromide (TSCB). Ferroelectrics 1981; 39, 1139-42.

JC Lashley, JHD Munns, M Echizen, MN Ali, SE Rowley and JF Scott. Phase transition in brominated ferroelectric tris-sarcosine calcium chloride. Adv. Mater. 2014: 26, 3860-6.

R Blinc and B Zeks. Dynamics of order-disorder-type ferroelectrics and antiferroelectrics. Adv. Phys. 1972; 21, 693-757.

Y Tezuka and S Shin. Hyper-Raman and raman studies on the phase transition of ferroelectric LiTaO3. Phys. Rev. B 1994; 49, 9312-21.

I Laulicht and N Luknar. Internal-mode line-broadening by proton jumps in KH2PO4. Chem. Phys. Lett. 1977; 47, 237-40.

I Laulicht. On the drastic temperature broadening of hard mode Raman lines of ferroelectric KDP type crystals near Tc. J. Phys. Chem. Solids 1978; 39, 901-6.

G Schaack and V Winterfeldt. Temperature behaviour of optical phonons near Tc in triglycine sulphate and triglycine selenate. Ferroelectrics 1977; 15, 35-41.

A Kiraci and H Yurtseven. Temperature dependence of the raman frequency, damping constant and the activation energy of a soft-optic mode in ferroelectric barium titanate. Ferroelectrics 2012; 432, 14-21.

H Yurtseven and A Kiraci. Calculation of the damping constant and the relaxation time for the soft-optic and acoustic mode in hexagonal barium titanate. Ferroelectrics 2012; 437, 137-48.

H Karacali, A Kiraci and H Yurtseven. Calculation of the Raman frequency and the damping constant of a coupled mode in the ferroelectric and paraelectric phases in KH2PO4. Phys. Status Solidi B 2010; 247, 927-36.

A Kiraci and H Yurtseven. Damping constant and the relaxation time calculated for the lowest-frequency soft mode in the ferroelectric phase of Cd2Nb2O7. Optik 2016; 127, 11497-504.

A Kiraci and H Yurtseven. Calculation of the raman frequency, damping constant (Linewidth) and the relaxation time near the tetragonal-cubic transition in PbTiO3. Optik 2017; 142, 311-9.

H Yurtseven and A Kiraci. Temperature dependence of the damping constant and the relaxation time close to the tetragonal-cubic phase transition in SrZrO3. J. Mol. Struct. 2017; 1128, 51-6.

H Yurtseven and A Kiraci. Damping constant (linewidth) and the relaxation time of the brillouin la mode for the ferroelectric-paraelectric transition in PbZr1−xTixO3. IEEE Trans. Ultrason. Ferroelectrics Freq. Contr. 2016; 63, 1647-55.

A Kiraci and H Yurtseven. Analysis of the integrated intensity of the central peaks calculated as a function of temperature in the ferroelectric phase of lithium tantalite. Therm. Sci. 2018; 22, 221-7.

H Yurtseven and A Kiraci. Damping constant and the inverse relaxation time calculated as a function of pressure using the x-ray diffraction data close to the cubic-tetragonal phase transition in SrTiO3. Ferroelectrics 2019; 551, 143-51.

G Lahajnar, R Blinc and S Zumer. Proton spin-lattice relaxation by critical polarization fluctuations in KH2PO4. J. Phys. Condens. Matter 1974; 18, 301-16.

M Matsushita. Anomalous temperature dependence of the frequency and damping constant of phonons near Tλ in ammonium halides. J. Chem. Phys. 1976; 65, 23-8.

MA Hossain, JP Srivastava, PK Khulbe, L Menon and HD Bist. A Raman study of the high temperature phase transition in lithium ammonium sulphate. J. Phys. Chem. Solids 1994; 55, 85-90.

Downloads

Published

2022-08-15