Schwennicke Kai, Yuen-Zhou Joel
Department of Chemistry and Biochemistry, University of California, San Diego, La Jolla, California 92093, United States.
J Phys Chem Lett. 2022 Mar 17;13(10):2434-2441. doi: 10.1021/acs.jpclett.1c04161. Epub 2022 Mar 8.
Two molecules are enantiomers if they are nonsuperimposable mirror images of each other. Electric dipole-allowed cyclic transitions |1⟩ → |2⟩ → |3⟩ → |1⟩ obey the symmetry relation , where = (μ)(μ)(μ) and and label the two enantiomers. Herein, we generalize the concept of topological frequency conversion to an ensemble of enantiomers. We show that, within a rotating-frame, the pumping power between fields of frequency ω and ω is sensitive to enantiomeric excess, = ℏωω/(2π), where is the number of enantiomers and is an enantiomer-dependent Chern number. Connections with chiroptical microwave spectroscopy are made. Our work provides an underexplored and fertile connection between topological physics and molecular chirality.
如果两个分子是彼此不可重叠的镜像，则它们是对映体。电偶极允许的循环跃迁|1⟩ → |2⟩ → |3⟩ → |1⟩ 服从对称关系，其中 = (μ)(μ)(μ) ， 和 标记两种对映体。在此，我们将拓扑频率转换的概念推广到对映体的集合。我们表明，在旋转坐标系中，频率为ω和ω的场之间的泵浦功率对映体过量敏感， = ℏωω/(2π)，其中 是对映体的数量， 是依赖于对映体的陈数。建立了与手性微波光谱学的联系。我们的工作在拓扑物理和分子手性之间提供了一个未被充分探索且富有成果的联系。
