Book contents
- Frontmatter
- Contents
- Preface
- 1 Angular momentum and transition dipole moment
- 2 Excited state angular momenta distribution
- 3 Ground state angular momenta polarization
- 4 Effect of external magnetic field on angular momenta distribution
- 5 General equations of motion for arbitrary J values
- 6 Other methods of alignment and orientation of molecules
- Appendix A Vector calculus in cyclic coordinates
- Appendix B Spherical functions YKQ(θ, ϕ) and some of their properties
- Appendix C The Clebsch–Gordan coefficients. 6j- and 9j-symbols
- Appendix D Various methods of introducing polarization moments
- References
- Index
3 - Ground state angular momenta polarization
Published online by Cambridge University Press: 09 October 2009
- Frontmatter
- Contents
- Preface
- 1 Angular momentum and transition dipole moment
- 2 Excited state angular momenta distribution
- 3 Ground state angular momenta polarization
- 4 Effect of external magnetic field on angular momenta distribution
- 5 General equations of motion for arbitrary J values
- 6 Other methods of alignment and orientation of molecules
- Appendix A Vector calculus in cyclic coordinates
- Appendix B Spherical functions YKQ(θ, ϕ) and some of their properties
- Appendix C The Clebsch–Gordan coefficients. 6j- and 9j-symbols
- Appendix D Various methods of introducing polarization moments
- References
- Index
Summary
We know now how alignment and orientation of angular momenta arise in the excited state as a result of optical excitation from the primarily isotropic distribution of the ensemble of angular momenta. This phenomenon reflects, in essence, the anisotropy of absorption probability G(θ,ϕ). Since spatial structures of the type shown in Fig. 2.2 appear in the excited state the same structure must be ‘eaten out’ from the angular momentum distribution in the ground (initial) state. If the gap created is not closed quickly enough, the ensemble of the remaining angular momenta of the absorbing molecules in the ground state must necessarily also be polarized.
If, from another point of view, fluorescent decay leads to a considerable population of the ground state level c, (see, e.g., Fig. 1.2), then molecules on this level may exhibit angular momenta polarization, being particularly noticeable for thermally unpopulated, high lying levels.
In the present chapter we intend to discuss the conditions necessary for the creation of ground state angular momenta polarization, the possibilities of its experimental observation, and to develop the theoretical description of broad line radiation interaction with molecules further.
Angular momenta polarization via depopulation
For many years there existed the widespread opinion that in molecules we obtain an anisotropic distribution of angular momenta only in the excited state in the absorption process, whilst in the ground state isotropy is conserved [124]. This conjecture is based essentially on the assumption of the existence of a so-called ‘weak’ excitation. At first sight it may appear, for instance, from Eq. (2.20) that, as is usual in non-linear spectroscopy, such an admission is correct if condition Γp/Γ ≫ 1 is valid.
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- Optical Polarization of Molecules , pp. 49 - 103Publisher: Cambridge University PressPrint publication year: 1995