Features of the incommensurate phase in Pb(Zr1-xTix)O3

S. Watanabe, Yasumasa Koyama

    Research output: Contribution to journalArticle

    12 Citations (Scopus)

    Abstract

    The features of the incommensurate phase in Pb(Zr1-xTix)O3, which has a simple perovskite structure, have been investigated in the whole incommensurate region of the phase diagram by transmission electron microscopy. The incommensurate phase basically exists in the Ti-content range of 0≲x≲0.10, though the coherence length of the incommensurate modulation in samples with x=0.10 is very short. In view of its modulated structure, the normal phase of the commensurate phase is not the high-temperature paraelectric phase and its crystal structure involves both the M′5 antiferroelectric and ferroelectric displacements. The phase transition from the normal phase to the incommensurate phase then takes place by the introduction of the M3 rotational displacement of the oxygen octahedra. That is, the incommensurate modulation can be identified as the modulation of the rotational angle of the oxygen octahedron, which results in an alternating array of two M3 microdomains, as was proposed in our previous paper [S. Watanabe and Y. Koyama, Phys. Rev. B 63, 134103 (2001)]. The antiphase boundaries of the M′5 displacement present in the normal phase may also play the role of a discommensuration with a phase slip of π in the incommensurate phase. In addition to these features as a modulated structure, the slight increase in the periodicity of the incommensurate modulation and the growth of the one-variant region on heating were observed in the incommensurate phase with a long coherence length of about 1 μm. Of these two phenomena, the former increase can be explained as being due to the increase in the size of the M3 microdomain, which would be produced by the decrease in the rotational angle via the spontaneous strain coupled to the angle. Based on this, the size of every incommensurate-variant region should be enlarged as a total. However, only the one-variant region was observed to grow on heating. This suggests that the growth of the one-variant region was due to a thin-film effect; that is, the surface effect. As for the short coherence length of the incommensurate modulation in samples with x=0.10, we discuss its origin in terms of the impurity effect of the substituted Ti ion.

    Original languageEnglish
    Article number134102
    Pages (from-to)1341021-1341028
    Number of pages8
    JournalPhysical Review B - Condensed Matter and Materials Physics
    Volume66
    Issue number13
    Publication statusPublished - 2002 Oct 1

    Fingerprint

    Modulation
    modulation
    Oxygen
    Heating
    heating
    antiphase boundaries
    oxygen
    Perovskite
    Ferroelectric materials
    Phase diagrams
    periodic variations
    slip
    Crystal structure
    Phase transitions
    phase diagrams
    Impurities
    Ions
    Transmission electron microscopy
    Thin films
    impurities

    ASJC Scopus subject areas

    • Condensed Matter Physics

    Cite this

    Features of the incommensurate phase in Pb(Zr1-xTix)O3 . / Watanabe, S.; Koyama, Yasumasa.

    In: Physical Review B - Condensed Matter and Materials Physics, Vol. 66, No. 13, 134102, 01.10.2002, p. 1341021-1341028.

    Research output: Contribution to journalArticle

    @article{2c7af7642c894d69bf47557f33a14f4e,
    title = "Features of the incommensurate phase in Pb(Zr1-xTix)O3",
    abstract = "The features of the incommensurate phase in Pb(Zr1-xTix)O3, which has a simple perovskite structure, have been investigated in the whole incommensurate region of the phase diagram by transmission electron microscopy. The incommensurate phase basically exists in the Ti-content range of 0≲x≲0.10, though the coherence length of the incommensurate modulation in samples with x=0.10 is very short. In view of its modulated structure, the normal phase of the commensurate phase is not the high-temperature paraelectric phase and its crystal structure involves both the M′5 antiferroelectric and ferroelectric displacements. The phase transition from the normal phase to the incommensurate phase then takes place by the introduction of the M3 rotational displacement of the oxygen octahedra. That is, the incommensurate modulation can be identified as the modulation of the rotational angle of the oxygen octahedron, which results in an alternating array of two M3 microdomains, as was proposed in our previous paper [S. Watanabe and Y. Koyama, Phys. Rev. B 63, 134103 (2001)]. The antiphase boundaries of the M′5 displacement present in the normal phase may also play the role of a discommensuration with a phase slip of π in the incommensurate phase. In addition to these features as a modulated structure, the slight increase in the periodicity of the incommensurate modulation and the growth of the one-variant region on heating were observed in the incommensurate phase with a long coherence length of about 1 μm. Of these two phenomena, the former increase can be explained as being due to the increase in the size of the M3 microdomain, which would be produced by the decrease in the rotational angle via the spontaneous strain coupled to the angle. Based on this, the size of every incommensurate-variant region should be enlarged as a total. However, only the one-variant region was observed to grow on heating. This suggests that the growth of the one-variant region was due to a thin-film effect; that is, the surface effect. As for the short coherence length of the incommensurate modulation in samples with x=0.10, we discuss its origin in terms of the impurity effect of the substituted Ti ion.",
    author = "S. Watanabe and Yasumasa Koyama",
    year = "2002",
    month = "10",
    day = "1",
    language = "English",
    volume = "66",
    pages = "1341021--1341028",
    journal = "Physical Review B-Condensed Matter",
    issn = "0163-1829",
    publisher = "American Institute of Physics Publising LLC",
    number = "13",

    }

    TY - JOUR

    T1 - Features of the incommensurate phase in Pb(Zr1-xTix)O3

    AU - Watanabe, S.

    AU - Koyama, Yasumasa

    PY - 2002/10/1

    Y1 - 2002/10/1

    N2 - The features of the incommensurate phase in Pb(Zr1-xTix)O3, which has a simple perovskite structure, have been investigated in the whole incommensurate region of the phase diagram by transmission electron microscopy. The incommensurate phase basically exists in the Ti-content range of 0≲x≲0.10, though the coherence length of the incommensurate modulation in samples with x=0.10 is very short. In view of its modulated structure, the normal phase of the commensurate phase is not the high-temperature paraelectric phase and its crystal structure involves both the M′5 antiferroelectric and ferroelectric displacements. The phase transition from the normal phase to the incommensurate phase then takes place by the introduction of the M3 rotational displacement of the oxygen octahedra. That is, the incommensurate modulation can be identified as the modulation of the rotational angle of the oxygen octahedron, which results in an alternating array of two M3 microdomains, as was proposed in our previous paper [S. Watanabe and Y. Koyama, Phys. Rev. B 63, 134103 (2001)]. The antiphase boundaries of the M′5 displacement present in the normal phase may also play the role of a discommensuration with a phase slip of π in the incommensurate phase. In addition to these features as a modulated structure, the slight increase in the periodicity of the incommensurate modulation and the growth of the one-variant region on heating were observed in the incommensurate phase with a long coherence length of about 1 μm. Of these two phenomena, the former increase can be explained as being due to the increase in the size of the M3 microdomain, which would be produced by the decrease in the rotational angle via the spontaneous strain coupled to the angle. Based on this, the size of every incommensurate-variant region should be enlarged as a total. However, only the one-variant region was observed to grow on heating. This suggests that the growth of the one-variant region was due to a thin-film effect; that is, the surface effect. As for the short coherence length of the incommensurate modulation in samples with x=0.10, we discuss its origin in terms of the impurity effect of the substituted Ti ion.

    AB - The features of the incommensurate phase in Pb(Zr1-xTix)O3, which has a simple perovskite structure, have been investigated in the whole incommensurate region of the phase diagram by transmission electron microscopy. The incommensurate phase basically exists in the Ti-content range of 0≲x≲0.10, though the coherence length of the incommensurate modulation in samples with x=0.10 is very short. In view of its modulated structure, the normal phase of the commensurate phase is not the high-temperature paraelectric phase and its crystal structure involves both the M′5 antiferroelectric and ferroelectric displacements. The phase transition from the normal phase to the incommensurate phase then takes place by the introduction of the M3 rotational displacement of the oxygen octahedra. That is, the incommensurate modulation can be identified as the modulation of the rotational angle of the oxygen octahedron, which results in an alternating array of two M3 microdomains, as was proposed in our previous paper [S. Watanabe and Y. Koyama, Phys. Rev. B 63, 134103 (2001)]. The antiphase boundaries of the M′5 displacement present in the normal phase may also play the role of a discommensuration with a phase slip of π in the incommensurate phase. In addition to these features as a modulated structure, the slight increase in the periodicity of the incommensurate modulation and the growth of the one-variant region on heating were observed in the incommensurate phase with a long coherence length of about 1 μm. Of these two phenomena, the former increase can be explained as being due to the increase in the size of the M3 microdomain, which would be produced by the decrease in the rotational angle via the spontaneous strain coupled to the angle. Based on this, the size of every incommensurate-variant region should be enlarged as a total. However, only the one-variant region was observed to grow on heating. This suggests that the growth of the one-variant region was due to a thin-film effect; that is, the surface effect. As for the short coherence length of the incommensurate modulation in samples with x=0.10, we discuss its origin in terms of the impurity effect of the substituted Ti ion.

    UR - http://www.scopus.com/inward/record.url?scp=0036813813&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=0036813813&partnerID=8YFLogxK

    M3 - Article

    VL - 66

    SP - 1341021

    EP - 1341028

    JO - Physical Review B-Condensed Matter

    JF - Physical Review B-Condensed Matter

    SN - 0163-1829

    IS - 13

    M1 - 134102

    ER -