摘要
分别利用因子群对称分析法和位置群对称分析法对Ca_3(BO_3)_2晶体的振动模式进行了理论分析。Ca_3(BO_3)_2的晶格振动模式分为外振动和内振动模式,外振动模式为:3A_(1g)+4A_(2g)+7E_g+3A_(1u)+3A_(2u)+6E_u,内振动模式为:2A_(1g)+2A_(2g)+4E_g+2A_(1u)+2A_(2u)+4E_u。Ca_3(BO_3)_2晶体在布里渊区中心Γ点晶格振动的对称性分类为:5A_(1g)+6A_(2g)+11E_g+5A_(1u)+6A_(2u)+11E_u,其中声学模为:A_(2u)+E_u,拉曼活性光学模为:5A_(1g)+11E_g,红外活性光学模为:5A_(2u)+10E_u,其余为非拉曼、非红外活性光学振动模。用高温固相法成功合成了Ca_3(BO_3)_2粉末,测量了它的室温Raman光谱,并利用群论分析的结果对谱图进行了讨论,指认了BO_3^(3-)基团的特征振动频率。
Factor group symmetry analysis method and position symmetry analysis method were applied to analyze the lattice vibration of Ca3(BO3)2 crystal.The fundamental lattice vibrational modes of Ca3(BO3)2 can be subdivided into external modes(3A(1g)+ 4A(2g) + 7Eg + 3A(1u) + 3A(2u) + 6Eu) and internal modes (2A(1g) + 2A(2g) + 4Eg 4- 2A(1u) + 2A(2u) 4- 4Eu).Total vibrational modes are classified as 5A(1g) + 6A(2g) + 11Eg + 5A(1u)+ 6A(2u) + 11Eu.Among them,the ungerade modes A(2u) + Eu axe acoustic modes,5A(2u)+ 10Eu axe IR active,the gerade modes 5A(1g)+ 11Eg axe Raman active,and the others axe neither Raman active nor IR active.Ca3(BO3)2 powder was synthesized by solid state method.Room temperature Raman spectrum of the powder was obtained.The experiment results are discussed,and the characteristic vibrational peats of the BO3^(3-) groups were identified.
出处
《量子电子学报》
CAS
CSCD
北大核心
2011年第2期210-217,共8页
Chinese Journal of Quantum Electronics
基金
国家自然科学基金(90922003)
中国科学院功能晶体与激光技术重点实验室开放课题
上海市现代冶金与材料制备重点实验室开放课题(SELF-2009-01)资助项目