Characterizations of B and N heteroatoms as substitutional doping on structure,stability, and aromaticity of novel heterofullerenes evolved from the smallest fullerene cage C20: a density functional theory perspective

The structural stabilities and electronic properties of C₂₀ fullerene and some its incorporated boron and nitrogen derivatives are probed at B3LYP/AUG‐cc‐pVTZ level of theory. According to density functional theory results, the topology of inserted B or N heteroatoms in [20]‐fullerene perturbs strongly the stability, energy, geometry, charge, polarity, nucleus‐independent chemical shifts, aromaticity, and highest‐occupied molecular orbital and lowest‐unoccupied molecular orbital (HOMO–LUMO) gap of the resulting heterofullerenes. Vibrational frequency (υ_min) calculations show that except N₁₀C₁₀, all other B_bN_nC_{20‐(b + n)} heterofullerenes with b, and n = 0, 4, 5, 8, and 10 are true minima. The calculated band gaps (?E_HOMO–LUMO) of B₈C₁₂, and N₈C₁₂ (2.86 eV), show them the most stable heterofullerenes against electronic excitations. While 10 B substituting in equatorial position increase the conductivity of B₁₀C₁₀ through decreasing its band gaps, 10 N doping in equatorial position enhance stability of N₁₀C₁₀ against electronic excitations via increasing its band gaps. High natural bond orbital and Mulliken charge transfer on the surfaces of B atoms, especially B₅N₅C₁₀with five B–N bonds in the equatorial position, provokes further investigation on its possible application for hydrogen storage. Nucleus‐independent chemical shift values show that B₅N₅C₁₀ is the most aromatic species. The calculated heat of atomization per carbon (ΔH_at/C) of B₈C₁₂ shows it the most thermodynamic stable heterofullerenes of each. Copyright © 2016 John Wiley & Sons, Ltd.     

GemCn(m+n=7)团簇的密度泛函研究

在密度泛函理论框架下,用广义梯度近似（GGA）的方法研究GemCn(m+n=7)团簇的基态几何结构,系统计算它们的基态束缚能Be (au)、最高占据轨道（HOMO）与最低未占据轨道（LUMU）之间的能隙、二阶能量差分△2E(au)以及团簇的总能量.研究表明,随掺杂C原子数的增加,GemCn（m+n=7）团簇的结构由三维空间转变为平面,再转变为线性结构;随着掺杂C原子数的增加,GemCn（m+n=7）团簇平均结合能逐渐增强,稳定性增加;GemCn（m+n=7）团簇的二阶差分能和能隙在Ge5C2和Ge2C5处出现峰值,说明这两种团簇较其它团簇具有较高的稳定性.     

Ge_mC_n(m+n=7)团簇的密度泛函研究

在密度泛函理论框架下,用广义梯度近似（GGA）的方法研究Ge_mC_n（m+n=7）团簇的基态几何结构,系统计算它们的基态束缚能B_e（au）、最高占据轨道（HOMO）与最低未占据轨道（LUMO）之间的能隙、二阶能量差分△₂E（au）以及团簇的总能量.研究表明,随掺杂C原子数的增加,Ge_mC_n（m+n=7）团簇的结构由三维空间转变为平面,再转变为线性结构;随着掺杂C原子数的增加,Ge_mC_n（m+n=7）团簇平均结合能逐渐增强,稳定性增加;Ge_mC_n（m+n=7）团簇的二阶差分能和能隙在Ge₅C₂和Ge₂C₅处出现峰值,说明这两种团簇较其它团簇具有较高的稳定性.     

AunXm(n+m=4,X=Cu，Al，Y)混合小团簇的结构和稳定性研究

采用基于密度泛函理论的B3LYP方法，优化了Au_nX_m(n+m=4,X=Cu，A l，Y)二元混合团簇的稳定结构.计算了稳定结构的平均结合能、电离势、电子亲和势、最高占据轨道能级和最低空轨道能级及二者间的能隙.结合Mulliken集居数分析研究了二元混合团簇稳定存在的规律，得出掺杂可以增强团簇稳定性的结论. 关键词： 混合团簇 结合能 能隙 分子轨道集居数     

Al_nMg_m(n+m=6,7;m=1,2)团簇的稳定性与电子结构

用遗传算法结合经验势对AlnMgm(n+m=6,7;m=1,2)的低能结构进行全局搜索,用从头计算方法研究了其稳定性和电子结构.计算表明AlnMgm存在多个能量相近的异构体,在Al Mg团簇中Mg-Mg相互作用远弱于Al-Al作用,稳定结构中Mg原子倾向于形成更多的Mg-Al键.自然键轨道(NBO)电荷分析表明Mg向Al转移电子,Al原子上的电荷大小强烈依赖于相连的Mg原子个数.电子结构分析表明随着原子数目的增大,占据轨道能级略有降低,同尺寸下掺杂一个Mg时能级更低;Al Mg团簇的能隙约为5.30 e V.     

AlnMgm (n+m=6,7;m=1,2)团簇的稳定性与电子结构

用遗传算法结合经验势对AlnMgm(n+m=6,7; m=1,2)的低能结构进行全局搜索,用从头计算方法研究了其稳定性和电子结构。计算表明AlnMgm存在多个能量相近的异构体,在AlMg团簇中Mg-Mg相互作用远弱于Al-Al作用,稳定结构中Mg原子倾向于形成更多的Mg-Al键。NBO电荷分析表明Mg向Al转移电子,Al原子上的电荷大小强烈依赖于相连的Mg原子个数。电子结构分析表明随着原子数目的增大,占据轨道能级略有降低,同尺寸下掺杂一个Mg时能级更低;AlMg团簇的能隙约为5.30 eV。     

Fe_nO_m~+(n+m=4)团簇的构型、电子结构特征和磁性

采用二项式方案构建了FenOm+(n+m=4)团簇的大量可能初始结构.运用广义梯度近似(GGA)密度泛函理论中的PW91交换关联泛函对这些初始结构进行优化和频率分析,得到12个稳定的异构体.在此基础上计算和分析了它们的结合能、对称性、键长、磁矩,最高占据轨道与最低未占据轨道的能隙.发现Fe—O键在FenOm+(n+m=4)团簇的稳定中具有重要作用,团簇的总磁矩主要取决于铁原子的磁矩和各个原子磁矩排布情况.     

BmPn和BmP-n(m+n≤5)团簇的几何结构与稳定性

采用密度泛函理论(DFT)的B3LYP方法,在6-31G(d)水平上对BmPn(m n≤5)团簇及其阴离子的几何构型、电子结构和振动光谱等性质进行了理论研究.并在相同水平下计算了BmP-n(m n≤5)的垂直电离能和BmPn(m n≤5)的绝热电子亲和势.结果表明:BP、B2P2、B3P2、B4P较稳定,而BP2、BP3、B2P3、BP4的稳定性较差;B2P-较容易失去一个电子形成B2P,B3P-和B2P-3的垂直电离能力基本相同.     

第一原理对Aln040234.gif (202 bytes)(n+m=5)团簇结构和稳定性研究

用第一原理中的B3LYP和MP2方法,在6-311G水平上对AlnP- m(n+m=5)的各种可能构型进行几何构型优化,预测各团簇的稳定结构,从中得出各个团簇稳定构型之间的基本关系,当n＞m时,团簇的稳定构型与Al-n相似, 而当n＜ m时,团簇的稳定构型与P-m相似.并用B3LYP/6-311G方法计算了AlnP -m的垂直电子离能(VDE)和绝热电子离解能(ADE),同实验数据符合的较好.     

第一原理对AlnP-m(n+m=5)团簇结构和稳定性研究

用第一原理中的B3LYP和MP2方法，在6-311G^*水平上对AlnPm^-(n＋m=5)的各种可能构型进行几何构型优化，预测各团簇的稳定结构，从中得出各个团簇稳定构型之间的基本关系，当n＞m研时，团簇的稳定构型与Alm^-相似，而当n＜m时，团簇的稳定构型与Pm^相似。并用B3LYP／6—311G。方法计算了AlnPm^-的垂直电子离能(VDE)和绝热电子离解能(ADE)，同实验数据符合的较好。     

替位杂质对贵金属(111)表面稳定性影响的分子动力学研究

采用嵌入原子方法的原子间相互作用势，通过分子动力学方法研究了过渡族金属Cu，Ag，Au，Ni，Pd，Pt(111)表面的相互替位掺杂对表面稳定性的影响，计算了替位掺杂体系的表面能与表面空位形成能，探讨了影响表面稳定性的因素及其变化规律. 计算表明：替位杂质对表面能变化的影响主要是替位杂质的凝聚能和原子半径，而影响空位形成能变化的原因除凝聚能和原子半径外，合金溶解热具有重要的作用. 此外，通过替位杂质导致的体系表面能变化对合金体系的偏析行为进行了预测，理论预测与实验结果符合很好. 关键词： 替位杂质 贵金属 表面能 表面空位形成能     

Cun(n=2-20)团簇的稳定性和电子性质的密度泛函研究

采用密度泛函理论中的PW91/DNP方法研究了Cun(n=2~20)团簇的稳定性和电子性质。结果表明：在n=2~8区间,平均结合能曲线几乎呈现线性增长;在n=9~20区间,平均结合能曲线相对较平缓。Cun(n=4, 7, 8, 17)团簇相对较稳定。Cun(n=2, 4, 8, 13, 19)团簇的能隙值相对较大,化学活性较弱。在n=2~20区间,垂直电离能略微大于绝热电离能, 绝热亲和能略微大于垂直亲和能。在n=2~9区间,电离能曲线呈现出显著的奇—偶振荡效应,即n为偶数团簇的电离能比临近奇数团簇的要大;亲和能曲线呈现出同电离能曲线相反的奇—偶振荡效应。     

Substituent effect on the UV spectra of p‐disubstituted compounds XPh(CHCHPh)nY (n = 0, 1, 2)

Three parameters, , and , are developed to express the substituent effect and the effect of the parent molecular structure of p‐disubstituted compounds XPh(CH?CHPh)_nY (n = 0, 1, 2). The investigated result shows a good correlation between the UV absorption wavenumbers (υ_max) and the three parameters for a diverse set of title compounds, and the correlation equation can be used to predict the UV absorption energy of compounds with the mentioned structure. This approach provides a new insight for the quantitative structure‐property relationship (QSPR) correlation of the UV absorption energy of p‐disubstituted homologues. Copyright © 2010 John Wiley & Sons, Ltd.     

关于Al_nC和Al_nC~+(n=1—8)团簇结构和稳定性的研究

通过采用7种密度泛函理论DFT方法对AlnC进行计算,所得结果与实验数据比较,选择了B3lyp方法和6-311G(d)基组对AlnC及AlnC+(n=1—8)团簇进行结构优化和频率分析,得到了AlnC及AlnC+基态以及亚稳态结构.当n从小到大变化时,这些团簇的结构从平面向立体过渡,平面构型以三角形为主,立体构型主要是三棱柱笼状结构;在这些团簇中的高对称性结构中,中性团簇和阳离子只能有其一是稳定构型;在所研究的团簇中,Al2C和Al5C团簇较为稳定.     

Surface dynamics of Mo(1 1 0)–H and Mo(1 1 0)–Li

We compare the surface dynamics of the adsorbate systems Mo(1 1 0)–H and Mo(1 1 0)–Li. In both cases electron energy loss spectroscopy measurements revealed strong substrate surface phonon anomalies. Whereas the phonon anomaly of the hydrogen-covered surface was unequivocally assigned to be of the Kohn type, the anomalous behavior of the surface phonons of the lithium-covered surface remained obscure. In this paper we develop an experimental criterion based on the dispersion of adsorbate phonons, which allows to decide whether the observed substrate surface phonon anomaly is of the Kohn type or not. Employing this criterion we now definitely rule out that the anomaly on Mo(1 1 0)–Li is due to the Kohn effect.     

第一性原理对Al_mSi_n(m=1,2;n=1～6)团簇结构与性质的研究

本文运用第一性原理对Al_mSi_n（m=1,2;n=1～6）团簇的结构与性质进行了研究.在BLYP的水平上进行了结构优化和频率分析,得到了团簇的最低能量结构.同时计算和讨论了A1_msi_n团簇的束缚能、总能的二阶能量差分和分裂能以及费米能随原子数的变化.研究结果表明:Al_mSi_n团簇在m+n<4时的几何结构是平面结构,从4个原子开始转为空间的立体结构;除AlSi₃和Al₂Si₂团簇外,Al_mSi_n（m=1,2;n=1～6）团簇的束缚能随原子数增加而减小;分析A1_mSi_n（m=1,2;n=1～6）团簇的二阶能量差分和分裂能发现:在m+n=3,5时,团簇都出现较稳定的结构.     

AlHn(n=1—3)的分子结构和AlH3热力学稳定性

在gaussian03基础上，分别用b3lyp和qcisd方法，在6-311++g^**基组水平上研究了AlH_n(n=1—3)分子及其一价阴阳离子的几何结构和谐振频率，计算了它们中性分子的离解能，第一垂直电离能，电子亲和能. 并与可能得到的实验值及文献上的理论计算值进行了比较. 发现qcisd方法得到的数据更接近实验值. 计算发现对AlH，AlH₂和AlH₃分子及其1价阳离子的Al—H键长，随着H原子数的增多，键长越短， 关键词： 3分子')" href="#">AlH₃分子 平衡几何结构 垂直电离能 垂直电子亲和能     

Substituent effects on gas‐phase homolytic Fe–O and Fe–S bond energies of m‐G‐C6H4OFe(CO)2(η5‐C5H5) and m‐G‐C6H4SFe(CO)2(η5‐C5H5) studied using Hartree–Fock and density functional theory methods

The thermochemistry of organometallic complexes in solution and in the gas phase has been an area of increasing research interest. In this paper, the Fe–O and Fe–S homolytic bond dissociation energies [ΔH_homo(Fe–O)'s and ΔH_homo(Fe–S)'s] of two series of meta‐substituted phenoxydicarbonyl(η⁵‐cyclopentadienyl) iron [m‐G‐C₆H₄OFp ( 1 )] and (meta‐substituted benzenethiolato)dicarbonyl(η⁵‐cyclopentadienyl) iron [m‐G‐C₆H₄SFp ( 2 )] were studied using Hartree–Fock and density functional theory methods with large basis sets. In this study, Fp is (η⁵‐C₅H₅)Fe(CO)₂, and G are NO₂, CN, COMe, CO₂Me, CF₃, Br, Cl, F, H, Me, MeO, and NMe₂. The results show that Tao–Perdew–Staroverov–Scuseria and Minnesota 2006 functionals can provide the best price/performance ratio and accurate predictions of ΔH_homo(Fe–O)'s and ΔH_homo(Fe–S)'s. The polar effects of the meta substituents show that the dominant role to the magnitudes of ΔΔH_homo(Fe–O)'s or ΔΔH_homo(Fe–S)'s. σ_α·, σ_c· values for meta substituents are all related to polar effects. Spin‐delocalization effects of the meta substituents in ΔΔH_homo(Fe–O)'s and ΔΔH_homo(Fe–S)'s are small but not necessarily zero. Molecular effects rather than ΔΔH_homo(Fe–O)'s and ΔΔH_homo(Fe–S)'s are more suitable indexes for the overall substituent effects on ΔH_homo(Fe–O)'s and ΔH_homo(Fe–S)'s. The meta substituent effects of meta‐electron‐withdrawing groups on the Fe–S bonds are much stronger than those on the Fe–O bonds. For meta‐electron‐donating groups, the meta substituent effects have the comparable magnitudes between series 1 and 2 . ΔΔH_homo(Fe–O)'s ( 1 ) and ΔΔH_homo(Fe–S)'s ( 2 ) conform to the captodative principle. Insight from this work may help the design of more effective catalytic processes. Copyright © 2015 John Wiley & Sons, Ltd.     

Cross-section measurement for Ni(n,x)58(m+g)Co,Ni(n,x)60mCo,Ni(n,x)61Co and Ni(n,x)62mCo reactions induced by neutrons around 14MeV

The cross sections of Ni(n,x)58(m+g)CO,Ni(n,x)80mCo,Ni(n,x)61Co and Ni(n,x)62mCo reactions induced by neutrons around [14]MeV were measured in this work and calculated by a previously developed formula in this work.The neutron flux was determined using the monitor reaction 27Al(n,α)24Na and the neutron energies were measured with the method of cross-section ratios for 89Zr(n,2n)89Zr to 93Nb(n,2n)92mNbreactions.