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Acoustic studies of the ferroelastic phase transition in the K 3 Na(CrO 4 ) 2 crystal
Author(s) -
Charnaya E. V.,
Mroz B.,
Radzhabov A. K.,
Tien C.,
Tylczynski Z.,
Wur C. S.
Publication year - 2003
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.200301853
Subject(s) - attenuation , crystal (programming language) , phase transition , condensed matter physics , transverse plane , atmospheric temperature range , materials science , phase (matter) , elastic modulus , landau theory , single crystal , physics , optics , thermodynamics , nuclear magnetic resonance , composite material , structural engineering , engineering , quantum mechanics , computer science , programming language
Ultrasonic studies of the K 3 Na(CrO 4 ) 2 crystal were carried out within a temperature range of 185 to 295 K. Temperature dependences of the velocity and attenuation coefficient for the xx and zz longitudinal acoustic waves and the yx and zx transverse waves were measured. Noticeable anomalies in velocity and attenuation for transverse as well as for longitudinal waves were found near the ferroelastic phase transition which temperature was 235.5 K. The anomalies in the c 44 and c 66 elastic moduli were treated on the base of the Landau theory assuming the component ε 4 as the primary order parameter and ( ε 2 – ε 1 )/2 as the secondary one. Six elastic moduli, c 11 , c 33 , c 44 , c 66 , c 12 , and c 14 were evaluated at room temperature.