物理学报
物理學報
물이학보
2001年
2期
217-222
,共6页
利用傅里叶变换方法推导了一维Fibonacci类(FC(n))准晶衍射的结构因子方程,讨论了该系统的衍射峰和系统消光规则.在此基础上,计算了FC(1)和FC(3)准点阵的衍射谱.另外,把所得方程进行推广使之能用来研究FC(n)准周期超晶格的衍射性质.通过把FC(1)准周期超晶格衍射相对强度的计算结果与Merlin等人的实验结果进行比较,发现大多数衍射谱符合得较好,但有一条谱不一致.理论计算表明Merlin等人标定的谱(4,2)应该是一个次强峰.
利用傅裏葉變換方法推導瞭一維Fibonacci類(FC(n))準晶衍射的結構因子方程,討論瞭該繫統的衍射峰和繫統消光規則.在此基礎上,計算瞭FC(1)和FC(3)準點陣的衍射譜.另外,把所得方程進行推廣使之能用來研究FC(n)準週期超晶格的衍射性質.通過把FC(1)準週期超晶格衍射相對彊度的計算結果與Merlin等人的實驗結果進行比較,髮現大多數衍射譜符閤得較好,但有一條譜不一緻.理論計算錶明Merlin等人標定的譜(4,2)應該是一箇次彊峰.
이용부리협변환방법추도료일유Fibonacci류(FC(n))준정연사적결구인자방정,토론료해계통적연사봉화계통소광규칙.재차기출상,계산료FC(1)화FC(3)준점진적연사보.령외,파소득방정진행추엄사지능용래연구FC(n)준주기초정격적연사성질.통과파FC(1)준주기초정격연사상대강도적계산결과여Merlin등인적실험결과진행비교,발현대다수연사보부합득교호,단유일조보불일치.이론계산표명Merlin등인표정적보(4,2)응해시일개차강봉.
Using the projection and Fourier transform methods,we have derived the diffraction formulas and discussed the rules of diffraction peaks and systematic absences for the one-dimensional Fibonacci-class quasilattices.Moreover,we have calculated and labeled the positions of the diffraction peaks of FC(1) and FC(3).In order to check our diffraction formulas,we extend the formulas to the FC(n) quasiperiodic superlattices.Comparing the present diffraction results of the FC(1) superlattice with the experimental data,we have found that most of them agree with each other but one of the spectra is not consistent.Particularily,we doubt that the peak (4,2) in the experiment should be a stronger peak.