Dielectric relaxation behavior of a liquid crystal showing an unusual type of antiferroelectric-ferroelectric-antiferroelectric phase sequence S. K. Kundu and B. K. Chaudhuri* Solid State Physics Department, Indian Association for the Cultivation of Science, Calcutta-700032, India A. Seed Chemistry Department, Kent State University, Kent, Ohio 44242-0001 A. Ja ´ kli Liquid Crystal Institute, Kent State University, Kent, Ohio 44242-0001 Received 28 April 2002; revised manuscript received 26 December 2002; published 14 April 2003 The temperature and frequency dependent dielectric relaxation behavior of a liquid crystalline S-+-1- methylheptyl 4-2-4-alkoxyphenylthiophene-5-carbonylthiooxybenzoate system is reported. Interesting successive antiferroelectric-ferroelectric-antiferroelectric AF-FE-AFphase transitions are observed in this system resembling the successive phase transitions observed in crystalline Rochelle salt. The smectic-C * (SmC *) to AF1 phase transition around 103.0 °Cis first order in nature, predicted from the use of Orihara and Ishibashi theory. It is also found that a contribution of the ferroelectric SmC * phase ordering penetrates even in the antiferroelectric AF1 (SmC A *) and AF2 (SmC A *) phases very close to the SmC *-AF1 and SmC *-AF2 phase boundaries critical regions. It is suggested that this type of mixing of AF and FE phases might cause surface induced ferroelectric- or ferroelectric-type ordering near the AF-FE phase transitions. A soft mode with Debye-type dispersion was observed in the SmA phase. The thermal behaviors of dielectric dispersion, absorption, and dielectric strength in different phases are also reported and discussed. DOI: 10.1103/PhysRevE.67.041704 PACS numbers: 64.70.Md, 77.84.Fa, 77.84.Nh, 61.30.-v I. INTRODUCTION Ferroelectric FEor antiferroelectric AFphase transi- tions are well known in many H-bonded molecular crystals like KH 2 PO 4 1, Rochelle salt 2, etc. However, similar ferro- and antiferroelectric ordering has also been discovered in liquid crystals ferroelectricity in 1974 and antiferroelec- tricity in 1989. Since the first observation of antiferroelec- tricity in MHPOBC 4-1-methylheptyloxy-carbonylphenyl 4 ' -octyloxybiphenyl 4-carboxylate3–5, much attention has been paid to the study of antiferroelectric liquid crystals AFLCsboth experimentally and theoretically. Many AFLCs have also been found to show successive phase changes and other interesting behavior like frustration 6 and phase penetration 7. An optically pure TFMHPOBC liquid crystal 8showed a second order phase transition di- rectly from smectic A SmA to smectic C A * (SmC A * ). An- other antiferroelectric liquid crystal system, viz., MHPOBC, showed 4a SmC * phase between SmA and SmC A * phases. Strictly speaking, optically pure MHPOBC has three SmC * subphases, viz., SmC * , SmC * , and SmC * as reported by Fukai et al. 3and Chandani et al. 5. On the other hand, for mixtures of R and S enantiomers, the phase sequence changes to SmA -SmC * -SmC A * , where the transition from SmC * to SmC A * is first order in nature. In recent years, a great deal of effort has also been directed to determining the detailed structures of various chiral smectic-C phases exhib- iting antiferroelectric (SmC A * ) or ferrielectric (SmC FI1 * ,SmC FI2 * ,SmC * ) electro-optic responses. Direct structural observation of superlattice periodicities associated with the AF and ferrielectric phases 9has also been marked. Recently an unusual antiferroelectric-ferroelectric- antiferroelectric phase sequence has been reported in an an- tiferroelectric S-+-1-methylheptyl 4-2-4-alkoxyphenyl thiophene-5-carbonylthiooxybenzoate system 10hereaf- ter referred to as MHATCTB. It has the phase sequence cryst 67.8 °C SmC A * 103.0 °C SmC * 110.0 °C AF2 116.0 °C SmA 129.0 °C isotropic. In this paper we report a thorough investigation of the dielectric relaxation behavior of this interesting MHATCTB system, confirming the transitions. The successive phase transitions from isotropic to crystalline phases were studied using both temperature and frequency dependent dielectric relaxation measurements. The present dielectric study sup- ports the above phase sequence observed from differential scanning calorimetry DSCand polarization measurements 10. We observed interesting phase penetration behavior, *Author to whom correspondence should be addressed. PHYSICAL REVIEW E 67, 041704 2003 1063-651X/2003/674/0417045/$20.00 ©2003 The American Physical Society 67 041704-1