工程科学学报，第39卷，第11期：1617-1625,2017年11月 Chinese Journal of Engineering,Vol.39,No.11:1617-1625,November 2017 D0l:10.13374/j.issn2095-9389.2017.11.002:http://journals..ustb.edu.cn 海水鲈鱼鳞片及鳍骨中羟基磷灰石的X射线极图法 和ODF法择优取向分析 苑 蕾12》，王河锦2四，安佳丽2》，张楠2》，王冠玉12) 1)北京大学地球与空间科学学院，北京1008712)教有部“造山带与地壳演化”重点实验室，北京100871 区通信作者，Email:hjwang(@pku.cdu.cm 摘要采用X射线衍射采集海水鲈鱼鳞片中羟基磷灰石(002)、(130)、(211)面网和鳍骨中羟基磷灰石(031)、(120)、 (132)面网极图数据并计算了取向分布函数(0DF)以分析其择优取向特征，其中鳞片极图数据显示出羟基磷灰石结晶学c轴 主要有3个择优取向，分别是与鳞片法线方向平行、相交39°和相交63°，而鳍骨极图推测出其羟基磷灰石c轴择优取向大致 有五个方向，分别与鳍骨截面法线相交3°、9°、17°、24°和36°.0DF的计算结果表明，鳞片中羟基磷灰石有比较明显的择优取 向是结晶学c轴近似平行于鳞片表面，同样，鳍骨ODF中羟基磷灰石择优取向为结晶学c轴近垂直于截面.极图和ODF结果 上的差别是由于极图本身是晶体取向的二维投影图，单张极图显示的择优信息不够完整，因此ODF用来解析生物矿物的择 优取向特征更为准确.鳞片和鳍骨中羟基磷灰石结构中的择优取向现象是因为生物矿化过程中有机质的调控作用而使结品 学c轴趋向平行胶原纤维长轴方向，并且这种择优特征也是硬体组织具有优良力学性能的要求， 关键词羟基磷灰石；X射线极图：取向分布函数：择优取向；生物调控 分类号0722：P578.92·2:TB321 Preferred orientation of hydroxylapatite in the scales and fins of seawater Lateolabrax japonicus determined using XRD pole figures and ODF YUAN Lei),WANG Hejin'AN Jia-i,ZHANG Nan'),WANG Guan-yu) 1)School of Earth and Space Sciences,Peking University,Beijing 100871,China 2)Key Laboratory of Orogenie Belt and Crustal Evolution,Ministry of Education,Beijing 100871,China Corresponding author,E-mail:hjwang@pku.edu.cn ABSTRACT Pole figures measured using X-ray diffractometry were used to analyze the orientation of crystalline hydroxylapatite (HAP)in the scales and fins of seawater Lateolabrax japonicus.An orientation distribution function (ODF)was calculated based on the pole figures of the lattice planes (002),(130),and (211)of HAP in the scales and those of (031),(120),and (132)in the fins.The pole figures indicate that the c-axis of HAP prefers three primary orientations in the scales and five primary orientations in the fins.In the scales,the preferred orientations of the HAP c-axis are parallel to the normal line of the scale face and intersect the normal line at about39°and63°.in the fins,the HAP c--xis intersects the normal line of the cross-section at3°，9°，17°，24°，and36°. However,the calculated ODFs show that the preferred orientations of the HAP caxes are nearly parallel to the face of the scales and perpendicular to the cross-section of the fins.As the pole figure only reflects a two-dimensional projection of the crystalline orienta- tions,the preferred orientations determined by the pole figures are not very accurate.Conversely,three-dimensional ODF is more suit- able for analyzing the preferred orientation of biominerals than the two-dimensional projection.The tendency of the c-axis to be parallel to the collagen fibers is controlled by organic matter and provides a good mechanical performance in hard tissue KEY WORDS hydroxylapatite:XRD pole figure:three-dimensional orientation distribution function:preferring orientation:biologi- cal control 收稿日期：201701-12 基金项目：国家自然科学基金资助项目(41372061,40972038)工程科学学报，第 39 卷，第 11 期: 1617--1625，2017 年 11 月 Chinese Journal of Engineering，Vol． 39，No． 11: 1617--1625，November 2017 DOI: 10． 13374 /j． issn2095--9389． 2017． 11． 002; http: / /journals． ustb． edu． cn 海水鲈鱼鳞片及鳍骨中羟基磷灰石的 X 射线极图法 和 ODF 法择优取向分析 苑 蕾1，2) ，王河锦1，2) ，安佳丽1，2) ，张 楠1，2) ，王冠玉1，2) 1) 北京大学地球与空间科学学院，北京 100871 2) 教育部“造山带与地壳演化”重点实验室，北京 100871  通信作者，E-mail: hjwang@ pku． edu． cn 收稿日期: 2017--01--12 基金项目: 国家自然科学基金资助项目( 41372061，40972038) 摘 要 采用 X 射线衍射采集海水鲈鱼鳞片中羟基磷灰石( 002) 、( 130) 、( 211) 面网和鳍骨中羟基磷灰石( 031) 、( 120) 、 ( 132) 面网极图数据并计算了取向分布函数( ODF) 以分析其择优取向特征，其中鳞片极图数据显示出羟基磷灰石结晶学 c 轴 主要有 3 个择优取向，分别是与鳞片法线方向平行、相交 39°和相交 63°，而鳍骨极图推测出其羟基磷灰石 c 轴择优取向大致 有五个方向，分别与鳍骨截面法线相交 3°、9°、17°、24°和 36°． ODF 的计算结果表明，鳞片中羟基磷灰石有比较明显的择优取 向是结晶学 c 轴近似平行于鳞片表面，同样，鳍骨 ODF 中羟基磷灰石择优取向为结晶学 c 轴近垂直于截面． 极图和 ODF 结果 上的差别是由于极图本身是晶体取向的二维投影图，单张极图显示的择优信息不够完整，因此 ODF 用来解析生物矿物的择 优取向特征更为准确． 鳞片和鳍骨中羟基磷灰石结构中的择优取向现象是因为生物矿化过程中有机质的调控作用而使结晶 学 c 轴趋向平行胶原纤维长轴方向，并且这种择优特征也是硬体组织具有优良力学性能的要求． 关键词 羟基磷灰石; X 射线极图; 取向分布函数; 择优取向; 生物调控 分类号 O722; P578. 92 + 2; TB321 Preferred orientation of hydroxylapatite in the scales and fins of seawater Lateolabrax japonicus determined using XＲD pole figures and ODF YUAN Lei1，2) ，WANG He-jin1，2)  ，AN Jia-li1，2) ，ZHANG Nan1，2) ，WANG Guan-yu1，2) 1) School of Earth and Space Sciences，Peking University，Beijing 100871，China 2) Key Laboratory of Orogenic Belt and Crustal Evolution，Ministry of Education，Beijing 100871，China  Corresponding author，E-mail: hjwang@ pku． edu． cn ABSTＲACT Pole figures measured using X-ray diffractometry were used to analyze the orientation of crystalline hydroxylapatite ( HAP) in the scales and fins of seawater Lateolabrax japonicus． An orientation distribution function ( ODF) was calculated based on the pole figures of the lattice planes ( 002) ，( 130) ，and ( 211) of HAP in the scales and those of ( 031) ，( 120) ，and ( 132) in the fins． The pole figures indicate that the c-axis of HAP prefers three primary orientations in the scales and five primary orientations in the fins． In the scales，the preferred orientations of the HAP c-axis are parallel to the normal line of the scale face and intersect the normal line at about 39° and 63°． In the fins，the HAP c-axis intersects the normal line of the cross-section at 3°，9°，17°，24°，and 36°． However，the calculated ODFs show that the preferred orientations of the HAP c-axes are nearly parallel to the face of the scales and perpendicular to the cross-section of the fins． As the pole figure only reflects a two-dimensional projection of the crystalline orienta￾tions，the preferred orientations determined by the pole figures are not very accurate． Conversely，three-dimensional ODF is more suit￾able for analyzing the preferred orientation of biominerals than the two-dimensional projection． The tendency of the c-axis to be parallel to the collagen fibers is controlled by organic matter and provides a good mechanical performance in hard tissue． KEY WOＲDS hydroxylapatite; XＲD pole figure; three-dimensional orientation distribution function; preferring orientation; biologi￾cal control