类氖等电子系列离子基态的双电子复合速率系数研究
The study of dielectronic recombination (DR) rate coefficient for ground state of Ne-like isoelectronic sequence ions
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摘要: 使用全相对论组态相互作用方法,能级-能级细致计算了0.1EI≤kTe≤10EI(EI是类钠离子基态的第一电离能)温度范围内类氖离子基态双电子复合(DR)速率系数,双激发自电离能级考虑了(2s2p)73ln′l′,(2s2p)74l4l′以及(2s2p)74l5l′组态.对于(2s2p)73ln′l′双激发自电离组态,轨道角量子数l′〉8的(2s2p)73ln′l′双激发自电离态对双电子复合速率系数的贡献可以忽略不计;(2s2p)73ln′l′双激发自电离组态的高里德堡态对双电子复合速率系数的贡献满足n′-3组态-组态外推法,并且核电荷数越大,趋于n′-3标度的n′值越小;对细致能级计算得到的类氖离子基态的总DR速率系数进行了拟合,得到类氖离子基态的总DR速率系数随核电荷数Z和电子温度变化的经验公式,该拟合公式与细致计算结果的偏差在2%以内,能较准确的计算任意核电荷数Z的类氖离子在0.1EI≤kTe≤10EI电子温度范围的DR速率系数.Burgess-Merts(BM)近似公式不适用于估算低温(kTe〈0.3EI)类氖离子的DR速率系数,在高温(kTe〉2EI)时,类氖离子的DR速率系数可以用BM近似公式表示.Abstract: The dielectronic recombination (DR) rate coefficients for Ne-like isoelectronic sequence ions in the ground state 2s22p6 are calculated by using relativistic configuration interaction (RCI) method over a wide temperature ranging from 0.1EI to 10EI where EI is the ionization energy of corresponding Na-like ion. The (2s2p)73ln′l′, (2s2p)74l4l′ and (2s2p)74l5l′ complexes are considered as autoionizing doubly excited states of Ne-like ions in the calculation. The contribution of (2s2p)73ln′l′ complex with l′ 〉 8 is found to be negligible. The contribution of high Rydberg states of (2s2p)73ln′l′ complex obeys the complex-complex n′-3 extrapolation, and the larger the nuclear charge, the smaller the value of n′ is. On the basis of the detailed level-by-level results, a general analytic formula for the total DR rate coefficient for all the ions along the Ne-like isoelectronic sequence is constructed. This formula can generally reproduce the calculated DR rate coefficients within 2% for electron temperature between 0.1EI and 10EI. Burgess-Merts semiempirical formula is found to be inadequate for predicting the DR rates of Ne-like ions at low electron temperatures (kTe 〈 0.3EI) and may be used for high electron temperatures (kTe 〉 2EI).
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