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反对称极化率及其在光谱学中的应用

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文摘

英文文摘

Introduction

1. Molecules in electric and magnetic fields and antisymmetric matter tensors

2. Applications of antisymmetric matter tensor in molecular properties

3. Quantum-mechanical description of the polarizability and hyperpolarizability

4. Motivation, contents and structures of this thesis

References

Chapter Ⅰ Antisymmetric polarizabilities of rotational sublevels for linear and symmetric top molecules and laser-induced shifts of resonance Rayleigh scattering and microwave spectra

Abstract

1. Introduction

2. Coupling of angular momentum vectors

2.1 Definition of angular momentum

2.2 Basis of the representation

2.3 Time reversal and the angular momentum operators

2.4 The addition of angular momenta

2.5 The vector-coupling coefficients

2.6 Wigner 3-j symbol

3. Antisymmetric polarizabilities of rotational sublevels for linear molecules induced by a resonant optical Field and laser-induced shifts of Rayleigh scatterig

3.1 M-dependent polarizabilities for a given rotational sublevel |JM 〉

3.2 Antisymmetric polarizabilities for a rotational sublevel |JM〉

3.3 M-dependent splittings and shifts of energy levels and spectral linesinduced by circularly polarized optical field

3.4 Calculations

3.5 Conclusions

4. Antisymmetric polarizabilities of rotational sublevels for symmetric top molecules and laser-induced MWshifts

4.1 Polarizabilities for a given rotational sublevel |JKM〉

4.2 Laser-induced MW (microwave) shifts NH3 molecule

4.3 Conclusion

5. Conclusion Remarks

Appendix: The polarizabilities of a linear molecule in non-resonance field

References

Chapter Ⅱ Circular dichroism effect for linear molecules induced by a resonant circularly polarized pumping optical field

Abstract

1. Introduction

2. Magnetic optical activity

3. Laser-induced circular dichroism (LICD)

3.1 Antisymmetric polarizability of the rotational sublevels for a linear molecule induced by a resonant circularly polarized light

3.2 M-dependent shifts, splittings and repopulation of rotational sublevels induced by the resonant circularly polarized pumping optical field v1

3.3 LICD effect

4 Calculation for CO molecules

4.1 Rotationally esolved LICD line f X 1∑+(v = 0, J = 1) → X 1∑+ (v = 1, J'= J ± 1)

4.2 Rotationally resolved LICD spectra of X1∑+(v=0, J=1-14) → X1∑+(v=1,J'=J±1)

4.3 Comparison between LICD and MVCD of CO molecules

5 Discussion

6 Conclusion

References

Chapter Ⅲ Analytic doubly resonant IR-UV sum-frequency vibrational spectroscopy of Binaphthol from electronic wave functions

Abstract

1. Introduction

2. Ab initio, density-functional, semiempirical treatments of molecules

2.1 Hartree-Fock method for molecules

2.2 Molecular vibrational frequencies

2.3 Density-functional theory

2.4 Semiempirical treatments of molecules

3. Doubly resonant IR-UV sum-frequency vibrational spectroscopy onmolecular chirality

4. Theory

5. Results and discussion

6. Conclusion

References

Chapter Ⅴ Laser-induced shifts and splittings of hyperfine structure lines in electron spin resonance spectra of 35Cl atoms

Abstract

1. Introduction

2. Zeeman effect ofhyperfine structure and the ESR experiment

2.1 Hyperfine structure

2.2 Zeeman effect of hyperfine structure

2.3 the ESR experiment

3. Laser-induced shifts and broadening of fine energy levels for 35 Cl Atom

4. Laser-induced shifts and splittings of hyperfine structure lines in electron spin resonance spectra of 35 Cl atoms

4.1 Dressed-atom theory

4.2 Light shifts and splittings of ESR hfs line of a chlorine atom

4.3 Result and discussion

5. Conclusions

References

Publications related to the thesis

Acknowledgements

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摘要

本论文在研究反对称极化率和超极化率的基础上,我们探讨了反对称极化率和超极化率在光谱学中应用。其中包括:利用线性分子的转动反对称极化率,提出、探索研究了一种新的光学效应——激光诱导圆二色性谱(LICD);以Cl原子为例,应用缀饰原子理论,预言了共振情况下ESR谱线光诱导分裂;应用Raman谱强度理论和量子化学计算,初步解析了R-BN分子手性溶液的和频振动谱(SFVS)等。简述了反对称极化率和超极化率及其应用的基础知识,综述了其发展现状,提出了本论文的构思和内容结构。   研究了线性和对称陀螺分子转动磁能级的反对称极化率,磁量子数M-依赖的磁能级和相应转动谱的光诱导移动和分裂。首先,我们应用微扰论推导理论公式,提出和讨论了光诱导圆二色性(LICD)效应。应用较强的圆偏振光照射线性分子中,并通过另一束弱的共振圆偏振光来检测LICD新效应。以CO为例,我们计算和模拟了LICD谱。对比磁圆二向色性谱,光诱导圆二色性谱是一种新的圆二色性谱,是可观测的。   解析了红外-紫外双共振联二萘酚(BN)手性溶液和频谱(SFVS)。 使用半经典的微扰论,我们计算了氯(35)原子能级的非共振光诱导移动。

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