Difference of Chirality of the Electron
Between Enantiomers of H í µí¿ X í µí¿
Masato Senami, Ken Inada, Kota Soga, Masahiro Fukuda
and Akitomo Tachibana
Abstract The integrated chirality density of H 2 X 2 molecules is studied in viewpoints of the internal torque for the electron spin. Since the chirality density is proportional to the zeta potential, which is the potential of the zeta force, one of the
torque for the electron spin, the distribution of the chirality density affects the distribution of the internal torque in molecules. It is seen that the integrated chirality
density is larger for the larger atomic number. It is found that the integrated chirality density of H 2 Te 2 has the same sign as the parity-violating energy, while those of
H 2 O 2 and H 2 S 2 are opposite to the sign of the parity-violating energy, and the dependence of the integrated chirality density of H 2 Se 2 on dihedral angle is significantly
different from that of the parity-violating energy.
1 Introduction
Only one form of enantiomeric pair is found in living systems. While both enantiomers of sugar and amino acids are produced in the same quantity in laboratories, only (D)-sugars and (L)-amino acids can be found in the systems. The mechanism how this bias is generated is a long-standing puzzle [1]. On the origin of this
biomolecular homochirality, many hypotheses are proposed, and those are classified by some features, (1) terrestrial and extra-terrestrial, (2) biotic and abiotic, and
(3) probabilistic and deterministic. We do not know the solution, and however many
researchers believe that the realization of homochirality is deeply related to the parity violation of Nature, which is given by the weak interaction of the standard model
of particle physics. The weak interaction is known to induce nuclear í µí»½ decay. Gauge
theory describes this interaction as well as electromagnetic interaction. Electromagnetic interaction is formulated as U(1) gauge theory and is mediated by the photon.
M. Senami ( ✉ ) ⋅ K. Inada ⋅ K. Soga ⋅ M. Fukuda ⋅ A. Tachibana
Department of Micro Engineering, Kyoto University, Kyoto 615-8540, Japan
e-mail: senami@me.kyoto-u.ac.jp
© Springer International Publishing AG, part of Springer Nature 2018
Y. A. Wang et al. (eds.), Concepts, Methods and Applications of Quantum Systems
in Chemistry and Physics, Progress in Theoretical Chemistry and Physics 31,
https://doi.org/10.1007/978-3-319-74582-4_6
95
Between Enantiomers of H í µí¿ X í µí¿
Masato Senami, Ken Inada, Kota Soga, Masahiro Fukuda
and Akitomo Tachibana
Abstract The integrated chirality density of H 2 X 2 molecules is studied in viewpoints of the internal torque for the electron spin. Since the chirality density is proportional to the zeta potential, which is the potential of the zeta force, one of the
torque for the electron spin, the distribution of the chirality density affects the distribution of the internal torque in molecules. It is seen that the integrated chirality
density is larger for the larger atomic number. It is found that the integrated chirality density of H 2 Te 2 has the same sign as the parity-violating energy, while those of
H 2 O 2 and H 2 S 2 are opposite to the sign of the parity-violating energy, and the dependence of the integrated chirality density of H 2 Se 2 on dihedral angle is significantly
different from that of the parity-violating energy.
1 Introduction
Only one form of enantiomeric pair is found in living systems. While both enantiomers of sugar and amino acids are produced in the same quantity in laboratories, only (D)-sugars and (L)-amino acids can be found in the systems. The mechanism how this bias is generated is a long-standing puzzle [1]. On the origin of this
biomolecular homochirality, many hypotheses are proposed, and those are classified by some features, (1) terrestrial and extra-terrestrial, (2) biotic and abiotic, and
(3) probabilistic and deterministic. We do not know the solution, and however many
researchers believe that the realization of homochirality is deeply related to the parity violation of Nature, which is given by the weak interaction of the standard model
of particle physics. The weak interaction is known to induce nuclear í µí»½ decay. Gauge
theory describes this interaction as well as electromagnetic interaction. Electromagnetic interaction is formulated as U(1) gauge theory and is mediated by the photon.
M. Senami ( ✉ ) ⋅ K. Inada ⋅ K. Soga ⋅ M. Fukuda ⋅ A. Tachibana
Department of Micro Engineering, Kyoto University, Kyoto 615-8540, Japan
e-mail: senami@me.kyoto-u.ac.jp
© Springer International Publishing AG, part of Springer Nature 2018
Y. A. Wang et al. (eds.), Concepts, Methods and Applications of Quantum Systems
in Chemistry and Physics, Progress in Theoretical Chemistry and Physics 31,
https://doi.org/10.1007/978-3-319-74582-4_6
95