- 必威体育下载

姓名
邮箱
手机号码
标题
留言内容
验证码

摘要

在碱金属原子簇磁性的研究中, 存在自由原子簇含有的原子个数及其磁矩难以准确确定的问题, 本文采用光磁共振光谱检测手段, 对工作温度约为328 K的饱和铷蒸汽样品中单原子分子 ⁸⁷Rb ₁和14种簇粒子 ( ⁸⁷Rb) _{${}_ {n'}$}( $ {n'} $ = 2, 3, ···, 15)的磁矩进行了深入研究. 实验结果表明: 在同一外磁场下, 14种簇粒子( ⁸⁷Rb) ${}_ {n'} $ 的共振频率 $f_ {n'}$ 与 ⁸⁷Rb ₁的共振频率 f*之间存在 $f_ {n'} = f^*/{n'}$ 的数值关系, 并且各簇粒子的磁矩值与振幅值均随 $ n' $ 的大小和奇、偶性呈现不同性质的变化规律. 运用分子轨态理论通过 ⁸⁷Rb _n= ⁸⁷Rb _{n– 1}+ ⁸⁷Rb联合原子簇构造模式, 给出14种簇粒子 ⁸⁷Rb _n( n= 2, 3, ···, 15)的基态和最低激发态的电子组态和分子态项型, 分析了各分子态的稳定性和发生可见塞曼效应的可能性. 进一步基于双原子分子磁矩公式计算, 发现当 n= ${n'} $ 时 ⁸⁷Rb _n的磁矩值与( ⁸⁷Rb) ${}_ {n'} $ 的磁矩值严格吻合(平均相对误差仅为0.6765%), 证实了( ⁸⁷Rb) ${}_ {n'} $ 和 ⁸⁷Rb _n的对应关系.

关键词:

Abstract

For the magnetism of alkali metal clusters, it is difficult to determine the number of atoms and the magnetic moment of isolated atoms cluster. In this paper, we investigate the magnetic moment of single atomic molecule ⁸⁷Rb ₁and 14 kinds of cluster particles ( ⁸⁷Rb) ${}_{n'} $ ( $n' $ = 2, 3, 4, ···, 15) in a saturated rubidium vapor sample at about 328 K, by using optical magnetic resonance spectroscopy. The experimental results show that there is a relationship f ${}_{n'} $ = f*/ $n' $ between the resonant frequencies f ${}_{n'} $ of 14 kinds of cluster particles ( ⁸⁷Rb) ${}_{n'} $ and the resonant frequencies f* of ⁸⁷Rb ₁. The magnetic moment and their resonance amplitudes show two different relationships with the ${n'} $ odevity. When the particles have an odd number of 5s electrons, they must have spontaneous magnetic moment, and the value of magnetic moment increases with nand decreases inverse proportionally with the combined angular momentum Fof the cluster particles. The amplitude obtained from resonance spectrum complies with the variation law of magnetic moment value. On the other hand, for the cluster particles with nbeing even number, the magnetic moment value becomes 0 and the amplitude is also 0 in the most cases, except for the cluster particles ⁸⁷Rb ₂with n= 2 i.e. two 5s electrons, which is caused by the Jahn-Teller effect of the linear molecules, and the magnetic moment value is consistent with the calculation results of the odd number particles. When n> 2, the coupling effect between the magnetic moments of the Rb cluster shows a long-range ordered antiferromagnetic property with the increase of the number of 5s valence electrons n. The electron configuration and molecular state of the ground state and the lowest excited state of 14 kinds of 2—15 atoms cluster particles ⁸⁷Rb _n, as well as the stability of each molecular state and the possibility of visible Zeeman effect are obtained by using the molecular orbital-state theory analysis and constructing the ⁸⁷Rb _n–1+ ⁸⁷Rb _natomic cluster model. Furthermore, based on the magnetic moment of diatomic molecules ruler, it is found that when n= ${n'} $ , the magnetic moment of ( ⁸⁷Rb) ${}_{n'} $ and ⁸⁷Rb _nare in strict consistency (the average relative error is only 0.6765%), confirming the corresponding relationship between ( ⁸⁷Rb) ${}_{n'} $ and ⁸⁷Rb _n. This research will be of great value in the magnetic research of cluster particles.

Keywords:

作者及机构信息

1.
2.
3.
4.

通信作者:邸淑红,792423642@qq.com; 张阳,185540891@qq.com; 杨会静,yanghj619@126.com;

Authors and contacts

1.
2.
3.
4.

Corresponding author:Di Shu-Hong,792423642@qq.com; Zhang Yang,185540891@qq.com; Yang Hui-Jing,yanghj619@126.com;

[1]
[2]
[3]
[4]
[5]
[6]
[7]
[8]
[9]
[10]
[11]
[12]
[13]
[14]
[15]
[16]
[17]
[18]
[19]
[20]
[21]
[22]
[23]
[24]

施引文献

下载: 全尺寸图片幻灯片

${n'} $为奇数粒子	${n'} $	${\bar g_{n'}}$	$\bar \mu {}_{n'}$/μ_B	${\bar A_{n'}}$/mV	${n'} $为偶数粒子	${n'} $	${\bar g_{n'}}$	$\bar \mu {}_{n'}$/μ_B	${\bar A_{n'}}$/mV
⁸⁷Rb₁	1	0.494337	0.494337	1574.50	(⁸⁷Rb)_2′	2	0.246984	0.246984	105.75
(⁸⁷Rb)_3′	3	0.164598	0.164598	883.07	(⁸⁷Rb)_4′	4	0	0	0
(⁸⁷Rb)_5′	5	0.098789	0.098789	383.47	(⁸⁷Rb)_6′	6	0	0	0
(⁸⁷Rb)_7′	7	0.070635	0.070635	188.70	(⁸⁷Rb)_8′	8	0	0	0
(⁸⁷Rb)_9′	9	0.054953	0.054953	84.92	(⁸⁷Rb)_10′	10	0	0	0
(⁸⁷Rb)_11′	11	0.044975	0.044975	48.62	(⁸⁷Rb)_12′	12	0	0	0
(⁸⁷Rb)_13′	13	0.038060	0.038060	31.55	(⁸⁷Rb)_14′	14	0	0	0
(⁸⁷Rb)_15′	15	0.032978	0.032978	12.63

下载: 导出CSV

团簇分子, 参考分子	基态电子组态和分子态及$ {\lambda }_{\text{合}}$和S	最低激发电子组态及其$ {\lambda }_{\text{合}}$和S(Hund(a) 情形跃迁规则$\Delta \lambda =0, \pm 1$, $g\;\, \leftrightarrow u$, $ \Delta n = 0, \;\; \pm 1, ~\Delta S = 0$	基态X与最低激发态A 稳定性比较${P_{\rm{a}}} - {P_{\rm{b}}}$
⁸⁷Rb₁	$ {\rm{KLMN}}_{\rm{spd}}(\sigma {}_{\rm{g}}\rm{5}\rm{s})$ ${}^2{\Sigma _{\rm{u} } },$${\lambda }_{\text{合} }=0,$$S = 1/2$	$ {\rm{KLMN}}_{\rm{spd}}({\text{π}}{}_{\rm{u}}{4}{\rm{d}})$ ${}^2{\Pi _{\rm{u} } },$${\lambda }_{\text{合} }=1,$$S = 1/2$	X: ${P_{\rm{a} } } - {P_{\rm{b} } } = 1/2$ A: ${P_{\rm{a} } } - {P_{\rm{b} } } = 1/2$
⁸⁷Rb₂ ⁸⁵Rb₂^[14]	${({\rm{\sigma } }{}_{\rm{g} }5{\rm{s} })^2},$ ${}^1{{\Sigma } }_{\rm{g} }^ +,$ ${\lambda }_{\text{合} }=0,$$S = {{0}}$或 [${\rm{(\sigma } }{}_{\rm{g} }{\rm{5s} })({ {\rm{\sigma } }_{\rm{u} } }{\rm{5 s)} } ,$ ${}^3{ {\Sigma } }_{\rm{u} }^{ + },$${\lambda }_{\text{合} }=0 ,$$S = {{1}}$]	${\rm{(\sigma }}{}_{\rm{g}}{\rm{5 s}})({{\text{π}}_{\rm{u}}}{\rm{4 d)}},$ ${}^1{{\Pi}_{\rm{u}}},$$ {\lambda }_{\text{合}}=1,$$S = {{0}}$或 [${\rm{(\sigma } }{}_{\rm{u} }{\rm{5s} })({ {\text{π} }_{\rm{u} } }{\rm{4 d)} },$${}^3{{\Pi}_{\rm{g}}},$${\lambda }_{\text{合} }=1,$$S = {{1}}$]	X: ${P_{\rm{a}}} - {P_{\rm{b}}} = 1 - 0 = 1$ A: ${P_{\rm{a}}} - {P_{\rm{b}}} = 1 - 0 = 1$ [X: ${P_{\rm{a} } } - {P_{\rm{b} } } = 1/2 - 1/2 = { {0} }$ A: ${P_{\rm{a} } } - {P_{\rm{b} } } = 1/2 - 1/2 = { {0} }$]
⁸⁷Rb₃	${({\rm{\sigma } }{}_{\rm{g} }{\rm{5 s} })^{ {2} } }({ {\rm{\sigma } }_{\rm{u} } }{\rm{5 s)} } ,$ ${}^2{{\Sigma } }_{\rm{u} }^ +,$${\lambda }_{\text{合} }=0,$$S = 1/2$	${\rm{(\sigma } }{}_{\rm{g} }{\rm{5 s)(} }{ {\rm{\sigma } }_{\rm{u} } }{\rm{5 s)(} }{ {\text{π} }_{\rm{u} } }{\rm{4 d)} },$ ${}^2{ {\Pi}_{\rm{g} } },$${\lambda }_{\text{合} }=1,$$S = 1/2$	X: ${P_{\rm{a} } } - {P_{\rm{b} } } = 1 - 1/2 = 1/2$ A: ${P_{\rm{a} } } - {P_{\rm{b} } } = 1 - 1/2 = 1/2$
⁸⁷Rb₄	${({\rm{\sigma } }{}_{\rm{g} }{\rm{5 s)} }^{ {2} } }{({ {\rm{\sigma } }_{\rm{u} } }{\rm{5 s)} }^{ {2} } },$ ${}^1{{\Sigma } }_{\rm{g} }^ +,$${\lambda }_{\text{合} }=0,$$S = {{0}}$	${\rm{(\sigma } }{}_{\rm{g} }{\rm{5 s)(} }{ {\rm{\sigma } }_{\rm{u} } }{\rm{5 s} }{ {\rm{)} }^{ {2} } }{\rm{(\pi } }{}_{\rm{u} }{\rm{4 d)} },$ ${}^1{ {\Pi}_{\rm{u} } },$${\lambda }_{\text{合} }=1,$$S = {{0}}$	X: ${P_{\rm{a}}} - {P_{\rm{b}}} = 1 - 1 = 0$ A: ${P_{\rm{a}}} - {P_{\rm{b}}} = 1 - 1 = 0$
⁸⁷Rb₅	${ {\rm{(\sigma } }{}_{\rm{g} }{\rm{5 s)} }^2}{({ {\rm{\sigma } }_{\rm{u} } }{\rm{5 s)} }^2}({ {\rm{\sigma } }_{\rm{g} } }{\rm{4 d)} } ,$ ${}^2{{\Sigma } }_{\rm{g} }^ + ,$${\lambda }_{\text{合} }=0,$$S = 1/2$	${ {\rm{(\sigma } }{}_{\rm{g} }{\rm{5 s)} }^2}{({ {\rm{\sigma } }_{\rm{u} } }{\rm{5 s)} }^2}{({ {\text{π} }_{\rm{u} } }{\rm{4 d)} }^1},$ ${}^2{ {\Pi}_{\rm{u} } },$${\lambda }_{\text{合} }=1,$$S = 1/2$	X: ${P_{\rm{a} } } - {P_{\rm{b} } } = 1\frac{1}{2} - 1 = 1/2$ A: ${P_{\rm{a} } } - {P_{\rm{b} } } = 1\frac{1}{2} - 1 = 1/2$
⁸⁷Rb₆	${ {\rm{(\sigma } }{}_{\rm{g} }{\rm{5 s)} }^2}{({ {\rm{\sigma } }_{\rm{u} } }{\rm{5 s)} }^2}{({ {\rm{\sigma } }_{\rm{g} } }{\rm{4 d)} }^2},$ ${}^1{{\Sigma } }_{\rm{g} }^ +,$${\lambda }_{\text{合} }=0,$$S = {{0}}$	${ {\rm{(\sigma } }{}_{\rm{g} }{\rm{5 s)} }^2}{({ {\rm{\sigma } }_{\rm{u} } }{\rm{5 s)} }^2}({ {\rm{\sigma } }_{\rm{g} } }{\rm{4 d)(} }{ {\text{π} }_{\rm{u} } }{\rm{4 d)} },$ ${}^1{ {\Pi}_{\rm{u} } } ,$${\lambda }_{\text{合} }=1,$$S = {{0}}$	X: ${P_{\rm{a}}} - {P_{\rm{b}}} = 2 - 1 = 1$ A: ${P_{\rm{a}}} - {P_{\rm{b}}} = 2 - 1 = 1$
⁸⁷Rb₇	${ {\rm{(\sigma } }{}_{\rm{g} }{\rm{5 s)} }^2}{({ {\rm{\sigma } }_{\rm{u} } }{\rm{5 s)} }^2}{({ {\rm{\sigma } }_{\rm{g} } }{\rm{4 d)} }^2}({ {\text{π} }_{\rm{u} } }{\rm{4 d)} },$ ${}^2{ {\Pi}_{\rm{u} } },$${\lambda }_{\text{合} }=1,$$S = 1/2$	${({\rm{\sigma } }{}_{\rm{g} }{\rm{5 s} })^2}{({ {\rm{\sigma } }_{\rm{u} } }{\rm{5 s)} }^2}{({ {\rm{\sigma } }_{\rm{g} } }{\rm{4 d)} }^1}{({ {\text{π} }_{\rm{u} } }{\rm{4 d)} }^2} ,$ ${}^2{ {\Sigma } }_{\rm{g} }^ +,$${\lambda }_{\text{合} }=0,$$S = 1/2$; ${}^2{ { {\Delta } }_{\rm{g} } },$ ${\lambda }_{\text{合} }=2, S =1/2$	X: ${P_{\rm{a} } } - {P_{\rm{b} } } = 2\frac{1}{2} - 1 = 1\frac{1}{2}$ A: ${P_{\rm{a} } } - {P_{\rm{b} } } = 2\frac{1}{2} - 1 = 1\frac{1}{2}$
⁸⁷Rb₈	${({\rm{\sigma } }{}_{\rm{g} }{\rm{5 s} })^2}{({ {\rm{\sigma } }_{\rm{u} } }{\rm{5 s)} }^2}{({ {\rm{\sigma } }_{\rm{g} } }{\rm{4 d)} }^2}{({ {\text{π} }_{\rm{u} } }{\rm{4 d)} }^2},$ ${}^1{{\Sigma } }_{\rm{g} }^ +,$${\lambda }_{\text{合} }=0,$$S = {{0}}$	${ {\rm{(\sigma } }{}_{\rm{g} }{\rm{5 s} })^2}{({ {\rm{\sigma } }_{\rm{u} } }{\rm{5 s)} }^2}{({ {\rm{\sigma } }_{\rm{g} } }{\rm{4 d)} }^1}{({ {\text{π} }_{\rm{u} } }{\rm{4 d)} }^3},$ ${}^1{ {\Pi}_{\rm{u} } },$${\lambda }_{\text{合} }=1,$$S = {{0}}$	X: ${P_{\rm{a}}} - {P_{\rm{b}}} = 3 - 1 = 2$ A: ${P_{\rm{a}}} - {P_{\rm{b}}} = 3 - 1 = 2$
⁸⁷Rb₉	${ {\rm{(\sigma } }{}_{\rm{g} }{\rm{5 s} })^2}{({ {\rm{\sigma } }_{\rm{u} } }{\rm{5 s)} }^2}{({ {\rm{\sigma } }_{\rm{g} } }{\rm{4 d)} }^2}{({ {\text{π} }_{\rm{u} } }{\rm{4 d)} }^3},$ ${}^2{ {\Pi}_{\rm{u} } } ,$${\lambda }_{\text{合} }=1,$$S = 1/2$	${ {\rm{(\sigma } }{}_{\rm{g} }{\rm{5 s} })^2}{({ {\rm{\sigma } }_{\rm{u} } }{\rm{5 s)} }^2}{({ {\rm{\sigma } }_{\rm{g} } }{\rm{4 d)} }^1}{({ {\text{π} }_{\rm{u} } }{\rm{4 d)} }^4},$ ${}^2{{\Sigma } }_{\rm{g} }^ + ,$${\lambda }_{\text{合} }=0,$$S = 1/2$; ${}^2{ { {\Delta } }_{\rm{g} } },$ ${\lambda }_{\text{合} }=2, S = 1/2$	X: ${P_{\rm{a} } } - {P_{\rm{b} } } = 3\frac{1}{2} - 1 = 2\frac{1}{2}$ A: ${P_{\rm{a} } } - {P_{\rm{b} } } = 3\frac{1}{2} - 1 = 2\frac{1}{2}$
⁸⁷Rb₁₀	${({\rm{\sigma } }{}_{\rm{g} }{\rm{5 s} })^2}{({ {\rm{\sigma } }_{\rm{u} } }{\rm{5 s)} }^2}{({ {\rm{\sigma } }_{\rm{g} } }{\rm{4 d)} }^2}{({ {\text{π} }_{\rm{u} } }{\rm{4 d)} }^4},$ ${}^1{{\Sigma } }_{\rm{g} }^ +,$${\lambda }_{\text{合} }=0,$$S = {{0}}$	${ {\rm{(\sigma } }{}_{\rm{g} }{\rm{5 s} })^2}{({ {\rm{\sigma } }_{\rm{u} } }{\rm{5 s)} }^1}{({ {\rm{\sigma } }_{\rm{g} } }{\rm{4 d)} }^2}{({ {\text{π} }_{\rm{u} } }{\rm{4 d)} }^4}{({ {\text{π} }_{\rm{g} } }{\rm{4 d)} }^1},$ ${}^1{ {\Pi}_{\rm{u} } },$${\lambda }_{\text{合} }=1,$$S = {{0}}$	X: ${P_{\rm{a}}} - {P_{\rm{b}}} = 4 - 1 = 3$ A: ${P_{\rm{a}}} - {P_{\rm{b}}} = {\rm{4 - 1}} = {\rm{3}}$
⁸⁷Rb₁₁	${ {\rm{(\sigma } }{}_{\rm{g} }{\rm{5 s} })^2}{({ {\rm{\sigma } }_{\rm{u} } }{\rm{5 s)} }^2}{({ {\rm{\sigma } }_{\rm{g} } }{\rm{4 d)} }^2}{({ {\text{π} }_{\rm{u} } }{\rm{4 d)} }^4}{({ {\text{π} }_{\rm{g} } }{\rm{4 d)} }^1},$ ${}^2{ {\Pi}_{\rm{g} } },$${\lambda }_{\text{合} }=1,$$S = 1/2$	${ {\rm{(\sigma } }{}_{\rm{g} }{\rm{5 s} })^2}{({ {\rm{\sigma } }_{\rm{u} } }{\rm{5 s)} }^1}{({ {\rm{\sigma } }_{\rm{g} } }{\rm{4 d)} }^2}{({ {\text{π} }_{\rm{u} } }{\rm{4 d)} }^4}{({ {\text{π} }_{\rm{g} } }{\rm{4 d)} }^2},$ ${}^2{{\Sigma } }_{\rm{u} }^ + ,$${\lambda }_{\text{合} }=0,$$S = 1/2$; ${}^2{ { {\Delta } }_{\rm{g} } },$${\lambda }_{\text{合} }=2,$ $S = 1/2$	X: ${P_{\rm{a} } } - {P_{\rm{b} } } = 4 - 1\frac{1}{2} = 2\frac{1}{2}$ A: ${P_{\rm{a} } } - {P_{\rm{b} } } = 4 - 1\frac{1}{2} = 2\frac{1}{2}$
⁸⁷Rb₁₂	${ {\rm{(\sigma } }{}_{\rm{g} }{\rm{5 s} })^2}{({ {\rm{\sigma } }_{\rm{u} } }{\rm{5 s)} }^2}{({ {\rm{\sigma } }_{\rm{g} } }{\rm{4 d)} }^2}{({ {\text{π} }_{\rm{u} } }{\rm{4 d)} }^4}{({ {\text{π} }_{\rm{g} } }{\rm{4 d)} }^2} ,$ ${}^1{{\Sigma } }_{\rm{g} }^ +,$${\lambda }_{\text{合} }=0,$$S = {{0}}$	${ {\rm{(\sigma } }{}_{\rm{g} }{\rm{5 s} })^2}{({ {\rm{\sigma } }_{\rm{u} } }{\rm{5 s)} }^1}{({ {\rm{\sigma } }_{\rm{g} } }{\rm{4 d)} }^2}{({ {\text{π} }_{\rm{u} } }{\rm{4 d)} }^4}{({ {\text{π} }_{\rm{g} } }{\rm{4 d)} }^3},$ ${}^1{ {\Pi}_{\rm{u} } },$${\lambda }_{\text{合} }=1,$$S = {{0}}$	X: ${P_{\rm{a}}} - {P_{\rm{b}}} = 4 - 2 = 2$ A: ${P_{\rm{a}}} - {P_{\rm{b}}} = {\rm{4 - 2}} = {{2}}$
⁸⁷Rb₁₃	${ {\rm{(\sigma } }{}_{\rm{g} }{\rm{5 s} })^2}{({ {\rm{\sigma } }_{\rm{u} } }{\rm{5 s)} }^2}{({ {\rm{\sigma } }_{\rm{g} } }{\rm{4 d)} }^2}{({ {\text{π} }_{\rm{u} } }{\rm{4 d)} }^4}{({ {\text{π} }_{\rm{g} } }{\rm{4 d)} }^3},$ ${}^2{ {\Pi}_{\rm{g} } },$${\lambda }_{\text{合} }=1,$$S = 1/2$	${ {\rm{(\sigma } }{}_{\rm{g} }{\rm{5 s} })^2}{({ {\rm{\sigma } }_{\rm{u} } }{\rm{5 s)} }^1}{({ {\rm{\sigma } }_{\rm{g} } }{\rm{4 d)} }^2}{({ {\text{π} }_{\rm{u} } }{\rm{4 d)} }^4}{({ {\text{π} }_{\rm{g} } }{\rm{4 d)} }^4},$ ${}^2{ {\Pi}_{\rm{u} } } ,$${\lambda }_{\text{合} }=1,$$S = 1/2$	X: ${P_{\rm{a} } } - {P_{\rm{b} } } = 4 - 2\frac{1}{2} = 1\frac{1}{2}$ A: ${P_{\rm{a} } } - {P_{\rm{b} } } = 4 - 2\frac{1}{2} = 1\frac{1}{2}$
⁸⁷Rb₁₄	${ {\rm{(\sigma } }{}_{\rm{g} }{\rm{5 s} })^2}{({ {\rm{\sigma } }_{\rm{u} } }{\rm{5 s)} }^2}{({ {\rm{\sigma } }_{\rm{g} } }{\rm{4 d)} }^2}{({ {\text{π} }_{\rm{u} } }{\rm{4 d)} }^4}{({ {\text{π} }_{\rm{g} } }{\rm{4 d)} }^4},$ ${}^1{{\Sigma } }_{\rm{g} }^ +,$${\lambda }_{\text{合} }=0,$$S = {{0}}$	${ {\rm{(\sigma } }{}_{\rm{g} }{\rm{5 s} })^2}{({ {\rm{\sigma } }_{\rm{u} } }{\rm{5 s)} }^2}{({ {\rm{\sigma } }_{\rm{g} } }{\rm{4 d)} }^2}{({ {\text{π} }_{\rm{u} } }{\rm{4 d)} }^4}{({ {\text{π} }_{\rm{g} } }{\rm{4 d)} }^3} ({ {\rm{\sigma } }_{\rm{u} } }{\rm{4 d)} },$ ${}^1{ {\Pi}_{\rm{u} } },$${\lambda }_{\text{合} }=1,$$S = {{0}}$	X: ${P_{\rm{a}}} - {P_{\rm{b}}} = 4 - 3 = 1$ A: ${P_{\rm{a}}} - {P_{\rm{b}}} = 4 - 3 = 1$
⁸⁷Rb₁₅	${({\rm{\sigma } }{}_{\rm{g} }{\rm{5 s)} }^2}{({ {\rm{\sigma } }_{\rm{u} } }{\rm{5 s)} }^2}{({ {\rm{\sigma } }_{\rm{g} } }{\rm{4 d)} }^2}{({ {\text{π} }_{\rm{u} } }{\rm{4 d)} }^4}{({ {\text{π} }_{\rm{g} } }{\rm{4 d)} }^4}({ {\rm{\sigma } }_{\rm{u} } }{\rm{4 d)} },$ ${}^2{{\Sigma } }_{\rm{u} }^ +,$${\lambda }_{\text{合} }=0,$$S = 1/2$	${({\rm{\sigma } }{}_{\rm{g} }{\rm{5 s} })^2}{({ {\rm{\sigma } }_{\rm{u} } }{\rm{5 s)} }^2}{({ {\rm{\sigma } }_{\rm{g} } }{\rm{4 d)} }^2}{({ {\text{π} }_{\rm{u} } }{\rm{4 d)} }^4}{({ {\text{π} }_{\rm{g} } }{\rm{4 d)} }^3}{({ {\rm{\sigma } }_{\rm{u} } }{\rm{4 d)} }^2},$${}^2{ {\Pi}_{\rm{g} } },$${\lambda }_{\text{合} }=1,$$S = 1/2$	X: ${P_{\rm{a} } } - {P_{\rm{b} } } = 4-3\frac{1}{2} = \frac{1}{2}$ A: ${P_{\rm{a} } } - {P_{\rm{b} } } = 4-3\frac{1}{2} = \frac{1}{2}$
注: 表中电子组态仅⁸⁷Rb₁的基态和激发态标出了闭壳层KLMN_spd, 其他粒子没有重复标出闭壳层KLMN_spd.

下载: 导出CSV

n为奇数的簇分子	n为奇数的分子项	5s价电子个数	$\bar \mu {}_n$/μ_B	${\bar g_n}$	n为偶数的簇分子	n为偶数的分子项	5s价电子个数	$\bar \mu {}_n$/μ_B	${\bar g_n}$
⁸⁷Rb₁	${}^2{\Pi _{\rm{u}}}$	1	$1/2$	$1/2$	⁸⁷Rb₂	${}^2{\Pi _{\rm{g}}}$	2	$1/4$	$1/4$
⁸⁷Rb₃	${}^2{\Pi _{\rm{g}}}$	3	$1/6$	$1/6$	⁸⁷Rb₄	${}^2{\Pi _{\rm{u}}}$	4	0	0
⁸⁷Rb₅	${}^2{\Pi _{\rm{u}}}$	5	$1/10$	$1/10$	⁸⁷Rb₆	${}^2{\Pi _{\rm{u}}}$	6	0	0
⁸⁷Rb₇	${}^2{\Pi _{\rm{u}}}$	7	$1/14$	$1/14$	⁸⁷Rb₈	${}^1{\Pi _{\rm{u}}}$	8	0	0
⁸⁷Rb₉	${}^2{\Pi _{\rm{u}}}$	9	$1/18$	$1/18$	⁸⁷Rb₁₀	${}^2{\Pi _{\rm{u}}}$	10	0	0
⁸⁷Rb₁₁	${}^2{\Pi _{\rm{g}}}$	11	$1/22$	$1/22$	⁸⁷Rb₁₂	${}^2{\Pi _{\rm{u}}}$	12	0	0
⁸⁷Rb₁₃	${}^2{\Pi _{\rm{g}}}$	13	$1/26$	$1/26$	⁸⁷Rb₁₄	${}^2{\Pi _{\rm{u}}}$	14	0	0
⁸⁷Rb₁₅	${}^2{\Pi _{\rm{g}}}$	15	$1/30$	$1/30$

下载: 导出CSV

团簇 ⁸⁷Rb_n	n	$\bar \mu {}_n$/μ_B	团簇 (⁸⁷Rb)${}_{n'} $	$n'$	$\bar \mu {}_{n'}$/μ_B	磁矩的相对误差%	${\bar A_{n'} }$/mV	${\bar A_{n'}}$与${\bar A_n}$ 比较
⁸⁷Rb₁	1	$1/2$	⁸⁷Rb₁	1	0.494337	1.1326	1574.50	一致
⁸⁷Rb₂	2	$1/4$	(⁸⁷Rb)_2′	2	0.246984	1.2063	105.75	线性分子简并态
⁸⁷Rb₃	3	$1/6$	(⁸⁷Rb)_3′	3	0.164598	1.2411	883.07	一致
⁸⁷Rb₄	4	0	(⁸⁷Rb)_4′	4	0	0	0	0
⁸⁷Rb₅	5	$1/10$	(⁸⁷Rb)_5′	5	0.098789	1.2110	383.47	一致
⁸⁷Rb₆	6	0	(⁸⁷Rb)_6′	6	0	0	0	0
⁸⁷Rb₇	7	$1/14$	(⁸⁷Rb)_7′	7	0.070635	1.1042	188.70	一致
⁸⁷Rb₈	8	0	(⁸⁷Rb)_8′	8	0	0	0	0
⁸⁷Rb₉	9	$1/18$	(⁸⁷Rb)_9′	9	0.054953	1.0843	84.92	一致
⁸⁷Rb₁₀	10	0	(⁸⁷Rb)_10′	10	0	0	0	0
⁸⁷Rb₁₁	11	$1/22$	(⁸⁷Rb)_11′	11	0.044975	1.0556	48.62	一致
⁸⁷Rb₁₂	12	0	(⁸⁷Rb)_12′	12	0	0	0	0
⁸⁷Rb₁₃	13	$1/26$	(⁸⁷Rb)_13′	13	0.038060	1.0467	31.55	一致
⁸⁷Rb₁₄	14	0	(⁸⁷Rb)_14′	14	0	0	0	0
⁸⁷Rb₁₅	15	$1/30$	(⁸⁷Rb)_15′	15	0.032978	1.0658	12.63	一致
15种簇粒子(⁸⁷Rb)${}_{n'} $与⁸⁷Rb_n的磁矩相对误差均值为: 0.6765%
9种磁矩不为0的簇粒子(⁸⁷Rb)${}_{n'} $与⁸⁷Rb_n的磁矩相对误差均值为: 1.1275%

下载: 导出CSV

[1]
[2]
[3]
[4]
[5]
[6]
[7]
[8]
[9]
[10]
[11]
[12]
[13]
[14]
[15]
[16]
[17]
[18]
[19]
[20]
[21]
[22]
[23]
[24]

[1]	邸淑红, 张阳, 杨会静, 崔乃忠, 李艳坤, 刘会媛, 李伶利, 石凤良, 贾玉璇.铷簇同位素效应的量化研究. 必威体育下载 , 2023, 72(18): 182101.doi:10.7498/aps.72.20230778
[2]	曹奔, 关利南, 古华光.兴奋性作用诱发神经簇放电个数不增反降的分岔机制. 必威体育下载 , 2018, 67(24): 240502.doi:10.7498/aps.67.20181675
[3]	邢伟, 孙金锋, 施德恒, 朱遵略.AlH+离子5个-S态和10个态的光谱性质以及激光冷却的理论研究. 必威体育下载 , 2018, 67(19): 193101.doi:10.7498/aps.67.20180926
[4]	王梦, 白金海, 裴丽娅, 芦小刚, 高艳磊, 王如泉, 吴令安, 杨世平, 庞兆广, 傅盘铭, 左战春.铷原子耦合光频率近共振时的电磁感应透明. 必威体育下载 , 2015, 64(15): 154208.doi:10.7498/aps.64.154208
[5]	尹柏强, 何怡刚, 吴先明.心磁信号广义S变换域奇异值分解滤波方法. 必威体育下载 , 2013, 62(14): 148702.doi:10.7498/aps.62.148702
[6]	杨艳, 姬中华, 元晋鹏, 汪丽蓉, 赵延霆, 马杰, 肖连团, 贾锁堂.超冷铷铯极性分子振转光谱的实验研究. 必威体育下载 , 2012, 61(21): 213301.doi:10.7498/aps.61.213301
[7]	韩光, 羌建兵, 王清, 王英敏, 夏俊海, 朱春雷, 全世光, 董闯.源于团簇-共振模型的理想金属玻璃电子化学势均衡. 必威体育下载 , 2012, 61(3): 036402.doi:10.7498/aps.61.036402
[8]	张秀荣, 吴礼清, 饶倩.(OsnN)0,(n=16)团簇电子结构与光谱性质的理论研究. 必威体育下载 , 2011, 60(8): 083601.doi:10.7498/aps.60.083601
[9]	张秀荣, 高从花, 吴礼清, 唐会帅.WnNim(n+m≤7; m=1, 2)团簇电子结构与光谱性质的理论研究. 必威体育下载 , 2010, 59(8): 5429-5438.doi:10.7498/aps.59.5429
[10]	刘世炳, 刘院省, 何润, 陈涛.纳秒激光诱导铜等离子体中原子激发态 5s' 4D7/2的瞬态特性研究. 必威体育下载 , 2010, 59(8): 5382-5386.doi:10.7498/aps.59.5382
[11]	金晓林, 黄桃, 廖平, 杨中海.电子回旋共振放电中电子与微波互作用特性的粒子模拟和蒙特卡罗碰撞模拟. 必威体育下载 , 2009, 58(8): 5526-5531.doi:10.7498/aps.58.5526
[12]	杨柳, 殷春浩, 焦扬, 张雷, 宋宁, 茹瑞鹏.掺入Ni元素的LiCoO2晶体光谱结构及电子顺磁共振g因子. 必威体育下载 , 2006, 55(4): 1991-1996.doi:10.7498/aps.55.1991
[13]	方芳, 蒋刚, 王红艳.PdnPbm(n+m≤5)混合团簇的结构与光谱性质. 必威体育下载 , 2006, 55(5): 2241-2248.doi:10.7498/aps.55.2241
[14]	陈卓, 何威, 蒲以康.电子回旋共振氩等离子体中亚稳态粒子数密度及电子温度的测量. 必威体育下载 , 2005, 54(5): 2153-2157.doi:10.7498/aps.54.2153
[15]	陈张海, 胡灿明, 陈建新, 史国良, 刘普霖, 沈学础, 李爱珍.赝形InxGa1-xAs/In0.52Al0.48As异质结构中二维电子气的回旋共振光谱研究. 必威体育下载 , 1998, 47(6): 1018-1025.doi:10.7498/aps.47.1018
[16]	张群, 束继年, 谢鲤荔, 戴静华, 张立敏, 李全新.SF2自由基3d,5s里德伯态的实验确认. 必威体育下载 , 1998, 47(11): 1776-1782.doi:10.7498/aps.47.1776
[17]	林尊琪, 陈文华, 余文炎, 谭维翰, 郑玉霞, 王关志, 顾敏, 章辉煌, 程瑞华, 崔季秀, 邓锡铭.MgⅪ 1s3p-1s4p能级间平均高温及高密度条件下的粒子数反转. 必威体育下载 , 1988, 37(8): 1236-1243.doi:10.7498/aps.37.1236
[18]	孙鑫, 陆埮, 罗辽复.“磁氢原子”的光谱. 必威体育下载 , 1978, 27(4): 430-438.doi:10.7498/aps.27.430
[19]	罗辽复, 陆埮.高能正负电子对的湮没与超窄共振ψ粒子的作用. 必威体育下载 , 1975, 24(2): 145-150.doi:10.7498/aps.24.145
[20]	方守贤, 魏开煜.螺旋线迴旋加速器中粒子流通过非线性共振线(Q_ρ=(6/5))的研究. 必威体育下载 , 1964, 20(7): 636-642.doi:10.7498/aps.20.636

122101-20210031补充材料.rar

计量

文章访问数:4753
PDF下载量:44
被引次数:0

搜索

留言板

Experimental observation and theoretical analysis of spontaneous magnetic moment of Rb atom clusters

摘要

Abstract

作者及机构信息

1.
2.
3.
4.

通信作者:邸淑红,792423642@qq.com; 张阳,185540891@qq.com; 杨会静,yanghj619@126.com;

Authors and contacts

1.
2.
3.
4.

Corresponding author:Di Shu-Hong,792423642@qq.com; Zhang Yang,185540891@qq.com; Yang Hui-Jing,yanghj619@126.com;

文章全文: translate this paragraph

补充材料

参考文献

施引文献

目录

计量

作者中心

必威betway88欢迎你

关于期刊

关于我们

搜索

留言板

Experimental observation and theoretical analysis of spontaneous magnetic moment of Rb atom clusters

1.2.3.4.

通信作者:邸淑红,792423642@qq.com; 张阳,185540891@qq.com; 杨会静,yanghj619@126.com;

1.2.3.4.

Corresponding author:Di Shu-Hong,792423642@qq.com; Zhang Yang,185540891@qq.com; Yang Hui-Jing,yanghj619@126.com;

目录

计量

出版历程

作者中心

必威betway88欢迎你

关于期刊

关于我们

1.
2.
3.
4.

1.
2.
3.
4.