Discrete Shannon entropy is applied to describe the information in a multiconfiguration Dirac Fock wavefunction. The dependence of Shannon entropy is shown as enlarging the configuration space and it can reach saturat...Discrete Shannon entropy is applied to describe the information in a multiconfiguration Dirac Fock wavefunction. The dependence of Shannon entropy is shown as enlarging the configuration space and it can reach saturation when there are enough configuration state wavefunctions to obtain the convergent energy levels; that is, the calculation procedure in multiconfiguration Dirae Fock method is an entropy saturation process. At the same accuracy level, the basis sets for the smallest entropy are best able to describe the energy state. Additionally, a connection between the sudden change of Shannon information entropies and energy level crossings along with isoelectronic sequence can be set up, which is helpful to find the energy level crossings of interest in interpreting and foreseeing the inversion scheme of energy levels for an x-ray laser.展开更多
As a type of multiconfiguration mechanism that can operate in an under-actuated state,metamorphic mechanisms were proposed more than two decades ago and attracted significant interest.Studies on structural synthesis o...As a type of multiconfiguration mechanism that can operate in an under-actuated state,metamorphic mechanisms were proposed more than two decades ago and attracted significant interest.Studies on structural synthesis of metamorphic mechanisms tend to focus more on metamorphic techniques and the structural synthesis of source mechanisms for metamorphic mechanisms.By designing different constraint architectures of metamorphic joints,multistructures can be obtained from the same source metamorphic mechanism.To determine the constraint architectures of metamorphic joints and their different assembly combinations,a kinematic status matrix and a corresponding constraint status matrix are constructed based on the metamorphic cyclogram of a source mechanism.According to the equivalent resistance gradient model and the constraint status matrix,an equivalent resistance matrix for the metamorphic joints is proposed.A structural synthesis matrix of the metamorphic mechanism is then obtained from the equivalent resistance matrix by deducing the constraint form vectors of the metamorphic joints.Furthermore,a kinematic diagram synthesis of the source metamorphic mechanism of a planar single-loop metamorphic mechanism is proposed,which is based on only the 14 one-or zero-degrees-of-freedom linkage groups.The entire structural design method of a metamorphic mechanism is based on the structural synthesis matrix and is presented as a systematic process.Finally,the proposed structural design approach is illustrated by two examples to verify its feasibility and practicality.This study provides an effective method for designing a practical multi-mobility and multiconfiguration planar single-loop metamorphic mechanism with a single actuator.展开更多
Multiconfigurational second order perturbation theory was employed in order to describe the ground and excited states of C60^-n. Different choices of the active spaces are discussed and the possibility to apply multic...Multiconfigurational second order perturbation theory was employed in order to describe the ground and excited states of C60^-n. Different choices of the active spaces are discussed and the possibility to apply multiconfigurational theory to study C12o is investigated. The calculations were performed for all possible spin states （for selected charge） and show the preference of low spin state. The energy difference between two C60^-3 and pairs C60^-1- C60^-5 and C60^-2- C60^-4 shows that the probability to create a charge alternation in fullerides is small.展开更多
An efficient and accurate method for computing the equilibriurn reduced density matrix is presented for treating open quantum systems characterized by the systern-bath model. The method employs the rnultilayer nmltico...An efficient and accurate method for computing the equilibriurn reduced density matrix is presented for treating open quantum systems characterized by the systern-bath model. The method employs the rnultilayer nmlticonfiguration tirne-dependent Hartree theory for imag- inary time propagation and an importance sampling procedure for calculating the quantum mechanical trace. The method is applied to the spin-boson Harniltonian, which leads to ac- curate results in agreement with those produced by the rnulti-electronic-state path integral molecular dynamics method.展开更多
Energy levels, wavelengths, transition rates, oscillator strengths, and lifetimes between the 2s22p23P1,2s22p23P2,and 2s2p35S2 levels of ions in the carbon-like （C-like） isoelectronic sequence （nuclear charges Z=7...Energy levels, wavelengths, transition rates, oscillator strengths, and lifetimes between the 2s22p23P1,2s22p23P2,and 2s2p35S2 levels of ions in the carbon-like （C-like） isoelectronic sequence （nuclear charges Z=7-92） are calculated in the valence and core-valence limits using the multiconfiguration Dirac–Fock method. The Breit interaction, quantum electrodynamics （QED）, and finite nuclear mass effects are taken into account in subsequent relativistic configuration-interaction calculations. The calculated energies and transition rates are compared with the critically evaluated experimental values and other recent calculated results. Our calculated data are in good agreement with these data.展开更多
采用从头计算的多参考组态CI方法(MRCI)和B原子Dunning s相关调和基函数含扩散基的大基组aug cc pVQZ对B+2分子的基态和低激发态的势能曲线进行计算。利用Huxley函数、Murrell Sorbie函数和最小二乘法拟合出了解析势能函数,并以此为基...采用从头计算的多参考组态CI方法(MRCI)和B原子Dunning s相关调和基函数含扩散基的大基组aug cc pVQZ对B+2分子的基态和低激发态的势能曲线进行计算。利用Huxley函数、Murrell Sorbie函数和最小二乘法拟合出了解析势能函数,并以此为基础计算出光谱常数。通过比较发现:Huxley函数比MS函数的拟合方差更小,能更好地再现分子中原子间相互作用。采用两种函数所得解析势能函数与从头计算势能曲线间的误差RMS均远小于化学精度4.184kJ/mol的要求,表明所得解析势能函数很好地再现了这些态中原子间的相互作用情况,可用于更广泛的研究。展开更多
基金Supported by the National Natural Science Foundation of China under Grant No 11204243the Foundation of Northwest Normal University under Grant No NWNU-LKQN-10-7
文摘Discrete Shannon entropy is applied to describe the information in a multiconfiguration Dirac Fock wavefunction. The dependence of Shannon entropy is shown as enlarging the configuration space and it can reach saturation when there are enough configuration state wavefunctions to obtain the convergent energy levels; that is, the calculation procedure in multiconfiguration Dirae Fock method is an entropy saturation process. At the same accuracy level, the basis sets for the smallest entropy are best able to describe the energy state. Additionally, a connection between the sudden change of Shannon information entropies and energy level crossings along with isoelectronic sequence can be set up, which is helpful to find the energy level crossings of interest in interpreting and foreseeing the inversion scheme of energy levels for an x-ray laser.
基金Supported by National Natural Science Foundation of China(Grant No.51575091,51205052)Aeronautical Science Foundation of China(Grant No.20170250001)the Basic Science and Research Project of Chinese National University(Grant No.N160304008).
文摘As a type of multiconfiguration mechanism that can operate in an under-actuated state,metamorphic mechanisms were proposed more than two decades ago and attracted significant interest.Studies on structural synthesis of metamorphic mechanisms tend to focus more on metamorphic techniques and the structural synthesis of source mechanisms for metamorphic mechanisms.By designing different constraint architectures of metamorphic joints,multistructures can be obtained from the same source metamorphic mechanism.To determine the constraint architectures of metamorphic joints and their different assembly combinations,a kinematic status matrix and a corresponding constraint status matrix are constructed based on the metamorphic cyclogram of a source mechanism.According to the equivalent resistance gradient model and the constraint status matrix,an equivalent resistance matrix for the metamorphic joints is proposed.A structural synthesis matrix of the metamorphic mechanism is then obtained from the equivalent resistance matrix by deducing the constraint form vectors of the metamorphic joints.Furthermore,a kinematic diagram synthesis of the source metamorphic mechanism of a planar single-loop metamorphic mechanism is proposed,which is based on only the 14 one-or zero-degrees-of-freedom linkage groups.The entire structural design method of a metamorphic mechanism is based on the structural synthesis matrix and is presented as a systematic process.Finally,the proposed structural design approach is illustrated by two examples to verify its feasibility and practicality.This study provides an effective method for designing a practical multi-mobility and multiconfiguration planar single-loop metamorphic mechanism with a single actuator.
文摘Multiconfigurational second order perturbation theory was employed in order to describe the ground and excited states of C60^-n. Different choices of the active spaces are discussed and the possibility to apply multiconfigurational theory to study C12o is investigated. The calculations were performed for all possible spin states （for selected charge） and show the preference of low spin state. The energy difference between two C60^-3 and pairs C60^-1- C60^-5 and C60^-2- C60^-4 shows that the probability to create a charge alternation in fullerides is small.
基金supported by the U.S.National Science Foundation CHE-1500285used resources from the National Energy Research Scientific Computing Center,which is supported by the Office of Science of the U.S.Department of Energy under Contract No.DE-AC02-05CH11231+2 种基金supported by the Ministry of Science and Technology of China(No.2017YFA0204901 and No.2016YFC0202803)the National Natural Science Foundation of China(No.21373018 and No.21573007)the Recruitment Program of Global Experts,and Special Program for Applied Research on Super Computation of the NSFC-Guangdong Joint Fund(the second phase) under grant No.U1501501
文摘An efficient and accurate method for computing the equilibriurn reduced density matrix is presented for treating open quantum systems characterized by the systern-bath model. The method employs the rnultilayer nmlticonfiguration tirne-dependent Hartree theory for imag- inary time propagation and an importance sampling procedure for calculating the quantum mechanical trace. The method is applied to the spin-boson Harniltonian, which leads to ac- curate results in agreement with those produced by the rnulti-electronic-state path integral molecular dynamics method.
基金the National Natural Science Foundation of China(Grant No.11174213)
文摘Energy levels, wavelengths, transition rates, oscillator strengths, and lifetimes between the 2s22p23P1,2s22p23P2,and 2s2p35S2 levels of ions in the carbon-like （C-like） isoelectronic sequence （nuclear charges Z=7-92） are calculated in the valence and core-valence limits using the multiconfiguration Dirac–Fock method. The Breit interaction, quantum electrodynamics （QED）, and finite nuclear mass effects are taken into account in subsequent relativistic configuration-interaction calculations. The calculated energies and transition rates are compared with the critically evaluated experimental values and other recent calculated results. Our calculated data are in good agreement with these data.
文摘采用从头计算的多参考组态CI方法(MRCI)和B原子Dunning s相关调和基函数含扩散基的大基组aug cc pVQZ对B+2分子的基态和低激发态的势能曲线进行计算。利用Huxley函数、Murrell Sorbie函数和最小二乘法拟合出了解析势能函数,并以此为基础计算出光谱常数。通过比较发现:Huxley函数比MS函数的拟合方差更小,能更好地再现分子中原子间相互作用。采用两种函数所得解析势能函数与从头计算势能曲线间的误差RMS均远小于化学精度4.184kJ/mol的要求,表明所得解析势能函数很好地再现了这些态中原子间的相互作用情况,可用于更广泛的研究。
