Evaluation of the systematic errors of polarimetric measurements: Application to measurements of the gyration tensors of a-Quartz by the HAUP

By J. Kobayashi, Toru Asahi, S. Takahashi, M. Glazer

    Research output: Contribution to journalArticle

    78 Citations (Scopus)

    Abstract

    Ft was shown in the course of developing the high- Accuracy universal polarimctcr (HAUP) that any polarimetric optical analyses cannot be free from a systematic error y originating in the parasitic ellipti- cities of the constituent Nicol prisms. A method by which one can remove y in the HAUP method is presented. This has been successfully applied to measurements of the gyration tensors and birefringence of two enantiomorphic crystals of a-quartz. It was found that the order of magnitude of this error for a polarizer is about 10 4 and consequently y lies between 10-4 and 10-3 in typical optical systems. Our results, g, = 5-7±0-52 x 10-5 and g33 = - 13-6 ± 0-52 x 10-5 with a wavelength of 6328 A for laevo- rotatory quartz at 300 K are in good agreement with some of the previous reports.

    Original languageEnglish
    Pages (from-to)479-484
    Number of pages6
    JournalJournal of Applied Crystallography
    Volume21
    Issue number5
    DOIs
    Publication statusPublished - 1988

    Fingerprint

    Quartz
    Systematic errors
    Tensors
    Birefringence
    Optical Devices
    Prisms
    Optical systems
    Wavelength
    Crystals

    ASJC Scopus subject areas

    • Biochemistry, Genetics and Molecular Biology(all)

    Cite this

    Evaluation of the systematic errors of polarimetric measurements : Application to measurements of the gyration tensors of a-Quartz by the HAUP. / Kobayashi, By J.; Asahi, Toru; Takahashi, S.; Glazer, M.

    In: Journal of Applied Crystallography, Vol. 21, No. 5, 1988, p. 479-484.

    Research output: Contribution to journalArticle

    @article{498d3a77beb54d5c881dcf064d83ea3b,
    title = "Evaluation of the systematic errors of polarimetric measurements: Application to measurements of the gyration tensors of a-Quartz by the HAUP",
    abstract = "Ft was shown in the course of developing the high- Accuracy universal polarimctcr (HAUP) that any polarimetric optical analyses cannot be free from a systematic error y originating in the parasitic ellipti- cities of the constituent Nicol prisms. A method by which one can remove y in the HAUP method is presented. This has been successfully applied to measurements of the gyration tensors and birefringence of two enantiomorphic crystals of a-quartz. It was found that the order of magnitude of this error for a polarizer is about 10 4 and consequently y lies between 10-4 and 10-3 in typical optical systems. Our results, g, = 5-7±0-52 x 10-5 and g33 = - 13-6 ± 0-52 x 10-5 with a wavelength of 6328 A for laevo- rotatory quartz at 300 K are in good agreement with some of the previous reports.",
    author = "Kobayashi, {By J.} and Toru Asahi and S. Takahashi and M. Glazer",
    year = "1988",
    doi = "10.1107/S0021889888005503",
    language = "English",
    volume = "21",
    pages = "479--484",
    journal = "Journal of Applied Crystallography",
    issn = "0021-8898",
    publisher = "International Union of Crystallography",
    number = "5",

    }

    TY - JOUR

    T1 - Evaluation of the systematic errors of polarimetric measurements

    T2 - Application to measurements of the gyration tensors of a-Quartz by the HAUP

    AU - Kobayashi, By J.

    AU - Asahi, Toru

    AU - Takahashi, S.

    AU - Glazer, M.

    PY - 1988

    Y1 - 1988

    N2 - Ft was shown in the course of developing the high- Accuracy universal polarimctcr (HAUP) that any polarimetric optical analyses cannot be free from a systematic error y originating in the parasitic ellipti- cities of the constituent Nicol prisms. A method by which one can remove y in the HAUP method is presented. This has been successfully applied to measurements of the gyration tensors and birefringence of two enantiomorphic crystals of a-quartz. It was found that the order of magnitude of this error for a polarizer is about 10 4 and consequently y lies between 10-4 and 10-3 in typical optical systems. Our results, g, = 5-7±0-52 x 10-5 and g33 = - 13-6 ± 0-52 x 10-5 with a wavelength of 6328 A for laevo- rotatory quartz at 300 K are in good agreement with some of the previous reports.

    AB - Ft was shown in the course of developing the high- Accuracy universal polarimctcr (HAUP) that any polarimetric optical analyses cannot be free from a systematic error y originating in the parasitic ellipti- cities of the constituent Nicol prisms. A method by which one can remove y in the HAUP method is presented. This has been successfully applied to measurements of the gyration tensors and birefringence of two enantiomorphic crystals of a-quartz. It was found that the order of magnitude of this error for a polarizer is about 10 4 and consequently y lies between 10-4 and 10-3 in typical optical systems. Our results, g, = 5-7±0-52 x 10-5 and g33 = - 13-6 ± 0-52 x 10-5 with a wavelength of 6328 A for laevo- rotatory quartz at 300 K are in good agreement with some of the previous reports.

    UR - http://www.scopus.com/inward/record.url?scp=84983770953&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=84983770953&partnerID=8YFLogxK

    U2 - 10.1107/S0021889888005503

    DO - 10.1107/S0021889888005503

    M3 - Article

    AN - SCOPUS:84983770953

    VL - 21

    SP - 479

    EP - 484

    JO - Journal of Applied Crystallography

    JF - Journal of Applied Crystallography

    SN - 0021-8898

    IS - 5

    ER -