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g tensor

CASSCF

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%casscf 
...
rel
dosoc true #spin-orbit coupling (and ZFS)
gtensor true
end
...
end

CASSCF中有两种方法计算:

  • Effective Hamiltonian method,对任何多重度都可以(Kramers或nonKramers系统)
  • Quasi-degenerate perturbation theory (QDPT)方法,只对单个Karmer双重态(奇数个电子)有效

输出

  • Effective Hamiltonian Method得到的结果:

    image-20250117154939895

    • 输出显示总 g 矩阵,后跟三个主成分及其方向(特征向量eigenvectors)。特征向量是列向量
    • 此例子中$gz=2.99,g{x,y}=2.24$

对于重元素,使用相对论效应和SOC时,需要增加%rel模块

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%rel  
picturechange 2 # second order DKH SOC
fpFWtrafo false # recommended option for g-tensor
end
%casscf
...
rel
dosoc true #spin-orbit coupling (and ZFS)
gtensor true
end
...
end

D-tensor

CASSCF

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%casscf 
...
rel
dosoc true #spin-orbit coupling (and ZFS)
dtensor true
end
...
end
  • 有两种方法计算,the 2nd Order PT approach(二阶 PT 方法)和Effective Hamiltonian Method
    • 在存在低激发态 (< 1000 cm-1)(通过 SOC 与基态贡献)的情况下,二阶 PT 方法对于计算零场分裂 (ZFS) 无效。

输出

image-20250117161710614

  • analysis of the individual contributions to the D-tensor

    image-20250117161848921

磁化率曲线的计算

CASSCF

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soc
dosoc true
domagnetization true # Calculate magnetization (def: false)
dosusceptibility true # Calculate susceptiblity (def: false)
LebedevPrec 5 # Precision of the grid for different field
# directions (meaningful values range from 1
# (smallest) to 10 (largest))
nPointsFStep 5 # number of steps for numerical differentiation
# (def: 5, meaningful values are 3, 5 7 and 9)
MAGFieldStep 100.0 # Size of field step for numerical differentiation
# (def: 100 Gauss)
MAGTemperatureMIN 4.0 # minimum temperature (K) for magnetization
MAGTemperatureMAX 4.0 # maximum temperature (K) for magnetization
MAGTemperatureNPoints 1 # number of temperature points for magnetization
MAGFieldMIN 0.0 # minimum field (Gauss) for magnetization
MAGFieldMAX 70000.0 # maximum field (Gauss) for magnetization
MAGNpoints 15 # number of field points for magnetization
SUSTempMIN 1.0 # minimum temperature (K) for susceptibility
SUSTempMAX 300.0 # maximum temperature (K) for susceptibility
SUSNPoints 300 # number of temperature points for susceptibility
SUSStatFieldMIN 0.0 # minimum static field (Gauss) for susceptibility
SUSStatFieldMAX 0.0 # maximum static field (Gauss) for susceptibility
SUSStatFieldNPoints 1 # number of static fields for susceptibility
end

SINGLE_ANISO

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source /share/apps/anaconda3/bin/activate /work/chem-zhaoxk/.conda/envs/gnuplot-5.4.10

#把anisoinp文件中 DATA部分的路径删掉只留下文件名
~/apps/orca601/otool_single_aniso < N4UCoP3_CASSCF_7e7o_2spin.anisoinp > single_aniso.output

输出

  • 各个轨道的mJ(磁量子数)百分比贡献

image-20250206182306324

有用可戳(●ˇ∀ˇ●)