We establish a reconstruction approach for the rotational quantum state of linear molecules possessing a magnetic manifold. Our approximate method contains an iteration with generalized matrix inverses, processing the...We establish a reconstruction approach for the rotational quantum state of linear molecules possessing a magnetic manifold. Our approximate method contains an iteration with generalized matrix inverses, processing the tomographic integral of the time-dependent molecular-axis distribution in a polar angle. As shown in a simulated example for an alignment state, the density matrix is determined in a high fidelity. An analytic tomographic formula is also derived for the symmetric top rotation. The state coherent in the quantum space of both the angular momentum and its magnetic projection can be approximately retrieved from the observable time-resolved solid-angle distribution of the molecular axis.展开更多
We present a simulation for the reconstruction of the rotational quantum state of linear molecules to retrieve the density matrix. An optimal approach in the sense of minimal error limit is proposed, in which a variab...We present a simulation for the reconstruction of the rotational quantum state of linear molecules to retrieve the density matrix. An optimal approach in the sense of minimal error limit is proposed, in which a variable set of angular frequency is properly chosen and the least square inversion is then applied. This approach of reconstruction from time-dependent molecular-axis angular distribution is proved adaptable for various object states, which has a good numerical stability independent of the selected rotational space.展开更多
In this paper the results of dynamic NMR studies on ethylmethylamino-tertiary-butyl-phenylborane (EMABPB) with or without light are reported. The NMR data were recorded on a Bruker 400 MHz NMR equipped with our custom...In this paper the results of dynamic NMR studies on ethylmethylamino-tertiary-butyl-phenylborane (EMABPB) with or without light are reported. The NMR data were recorded on a Bruker 400 MHz NMR equipped with our custom-made optical probe and with our custom-made 450 watts (W) monochromatic light sources. The molecular photochemistry including twisted intramolecular charge-transfer-excited-state (TICT) of the EMABPB in several solvents has been investigated. These results indicate that the aminoborane demonstrates multiple configurations in CD3Cl and CD2Cl2 resulting in the shifts of the signals of the alkyl groups on the nitrogen and boron. This indicates that there are some time-dependent changes at constant temperature over the irradiation interval. At ﹣60°C and the presence of light (λ = 265 nm), we observed a large change in the populations of the two sites, and this by itself indicates a modification in the rotation around the boron nitrogen bond in the excited state. By considering the existence of the TICT state, many important energy technologies may be developed with higher efficiency by controlling the back-electron transfer processes.展开更多
In this paper, molecular orientation behavior of polymethylene chains was investigated on the basis of considering long\|distance interactions by using the enumeration calculation method and the rotational isomeric st...In this paper, molecular orientation behavior of polymethylene chains was investigated on the basis of considering long\|distance interactions by using the enumeration calculation method and the rotational isomeric state(RIS) model. The chain lengths are from \%N\%=12 to \%N=\%24, and the Lennord\|Jennes potential was adopted in the non\|local interaction calculations. The molecular orientation function(Legendre polynomial) may be well expressed as\$\$<P\-2(ζ)>/(λ\+2-λ\+\{-1\})=a(λ\+2-λ\+\{-1\})+b\$\$here\% a\% and\% b\% only depend on the chain length, and decrease with the increase of chain length, especially for \%b\%. In the meantime, we also calculate the Helmholtz free energy change in the process of tensile deformation. Comparisons with Gaussian chains are made, and our results are close to those obtained from the Roe and Krigbaum theory.展开更多
The dephasing of molecular alignment can lead to the deformation of the alignment signal during its periodic revivals.Most studies are concentrated on the first few rotational revival periods of the molecular alignmen...The dephasing of molecular alignment can lead to the deformation of the alignment signal during its periodic revivals.Most studies are concentrated on the first few rotational revival periods of the molecular alignment and neglect the dephasing effect.However,study of the alignment dephasing is still of great significance for both the long-term dynamics of the molecular alignment and the dephasing itself.In this work,we theoretically demonstrate that the dephasing effect is correlated with both the rotational temperature and the rotational revival period of the molecules.The results present that the dephasing is especially significant for those molecules with long rotational revival period at high rotational temperatures.The physics behind it is explored by taking advantage of the coherence of the rotational quantum state population.This work deepens our understanding of rotational dynamics and rotational spectroscopy in molecular alignment.展开更多
A cluster-transfer experiment of 9Be(gBe,14 C --+ a+lOBe)e: at an incident energy of 45 MeV was carried out in order to investigate the molecular structure in high-lying resonant states in 14C. This reaction is o...A cluster-transfer experiment of 9Be(gBe,14 C --+ a+lOBe)e: at an incident energy of 45 MeV was carried out in order to investigate the molecular structure in high-lying resonant states in 14C. This reaction is of extremely large Q-value, making it an excellent case to select the reaction mechanism and the final states in outgoing nuclei. The high-lying resonances in 14C are reconstructed for three sets of well discriminated final states in 10Be. The results confirm the previous decay measurements with clearly improved decay-channel selections and also show a new state at 23.5(1) MeV. The resonant states at 22.4(3) and 24.0(3) MeV decay primarily into the typical molecular states at about 6 MeV in 10Be, indicating a well developed cluster structure in these high-lying states in l4C. Further measurements of more states of this kind are suggested.展开更多
文摘We establish a reconstruction approach for the rotational quantum state of linear molecules possessing a magnetic manifold. Our approximate method contains an iteration with generalized matrix inverses, processing the tomographic integral of the time-dependent molecular-axis distribution in a polar angle. As shown in a simulated example for an alignment state, the density matrix is determined in a high fidelity. An analytic tomographic formula is also derived for the symmetric top rotation. The state coherent in the quantum space of both the angular momentum and its magnetic projection can be approximately retrieved from the observable time-resolved solid-angle distribution of the molecular axis.
文摘We present a simulation for the reconstruction of the rotational quantum state of linear molecules to retrieve the density matrix. An optimal approach in the sense of minimal error limit is proposed, in which a variable set of angular frequency is properly chosen and the least square inversion is then applied. This approach of reconstruction from time-dependent molecular-axis angular distribution is proved adaptable for various object states, which has a good numerical stability independent of the selected rotational space.
文摘In this paper the results of dynamic NMR studies on ethylmethylamino-tertiary-butyl-phenylborane (EMABPB) with or without light are reported. The NMR data were recorded on a Bruker 400 MHz NMR equipped with our custom-made optical probe and with our custom-made 450 watts (W) monochromatic light sources. The molecular photochemistry including twisted intramolecular charge-transfer-excited-state (TICT) of the EMABPB in several solvents has been investigated. These results indicate that the aminoborane demonstrates multiple configurations in CD3Cl and CD2Cl2 resulting in the shifts of the signals of the alkyl groups on the nitrogen and boron. This indicates that there are some time-dependent changes at constant temperature over the irradiation interval. At ﹣60°C and the presence of light (λ = 265 nm), we observed a large change in the populations of the two sites, and this by itself indicates a modification in the rotation around the boron nitrogen bond in the excited state. By considering the existence of the TICT state, many important energy technologies may be developed with higher efficiency by controlling the back-electron transfer processes.
文摘In this paper, molecular orientation behavior of polymethylene chains was investigated on the basis of considering long\|distance interactions by using the enumeration calculation method and the rotational isomeric state(RIS) model. The chain lengths are from \%N\%=12 to \%N=\%24, and the Lennord\|Jennes potential was adopted in the non\|local interaction calculations. The molecular orientation function(Legendre polynomial) may be well expressed as\$\$<P\-2(ζ)>/(λ\+2-λ\+\{-1\})=a(λ\+2-λ\+\{-1\})+b\$\$here\% a\% and\% b\% only depend on the chain length, and decrease with the increase of chain length, especially for \%b\%. In the meantime, we also calculate the Helmholtz free energy change in the process of tensile deformation. Comparisons with Gaussian chains are made, and our results are close to those obtained from the Roe and Krigbaum theory.
基金supported by the National Natural Science Foundation of China(No.12004199).
文摘The dephasing of molecular alignment can lead to the deformation of the alignment signal during its periodic revivals.Most studies are concentrated on the first few rotational revival periods of the molecular alignment and neglect the dephasing effect.However,study of the alignment dephasing is still of great significance for both the long-term dynamics of the molecular alignment and the dephasing itself.In this work,we theoretically demonstrate that the dephasing effect is correlated with both the rotational temperature and the rotational revival period of the molecules.The results present that the dephasing is especially significant for those molecules with long rotational revival period at high rotational temperatures.The physics behind it is explored by taking advantage of the coherence of the rotational quantum state population.This work deepens our understanding of rotational dynamics and rotational spectroscopy in molecular alignment.
基金Supported by the 973 Program of China(2013 CB834402)National Natural Science Foundation of China(11275011,11535004)
文摘A cluster-transfer experiment of 9Be(gBe,14 C --+ a+lOBe)e: at an incident energy of 45 MeV was carried out in order to investigate the molecular structure in high-lying resonant states in 14C. This reaction is of extremely large Q-value, making it an excellent case to select the reaction mechanism and the final states in outgoing nuclei. The high-lying resonances in 14C are reconstructed for three sets of well discriminated final states in 10Be. The results confirm the previous decay measurements with clearly improved decay-channel selections and also show a new state at 23.5(1) MeV. The resonant states at 22.4(3) and 24.0(3) MeV decay primarily into the typical molecular states at about 6 MeV in 10Be, indicating a well developed cluster structure in these high-lying states in l4C. Further measurements of more states of this kind are suggested.