Table 1 Total energy (E) and atomically resolved magnetic moments (M a) due to valence electrons for different sites of Ce3Mn8 in different spin-ordered states

From: Molecular analogue of the perovskite repeating unit and evidence for direct MnIII-CeIV-MnIII exchange coupling pathway

Spin order

E b,c

abs(M \(_{{{\bf Ce}}^{{\bf IV}}}\))d

M \(_{{\bf{Ce}}^{\bf{IV}}}\)

abs(M Mn)

M Mn

abs(M O)

M O

M C,H

M total

FM

19

0.28

0.28

28.57

28.57

2.97

2.97

0.17

32.00

A-AF-I

37

0.00

0.00

28.30

−0.06

2.06

0.06

0.00

0.00

A-AF-II

14

0.03

0.03

28.55

0.03

2.81

0.01

0.01

0.00

A-AF-III

10

0.03

0.00

28.22

0.04

2.17

−0.03

−0.01

0.00

C-AF-I

0

0.02

−0.02

28.20

0.04

1.99

−0.02

0.00

0.00

C-AF-II

99

0.00

0.00

27.99

−0.04

1.50

0.04

0.00

0.00

C-AF-III

19

0.02

−0.01

28.28

−0.06

1.85

0.07

0.00

0.00

G-AF

85

0.01

0.01

27.99

0.02

1.31

−0.04

0.01

0.00

  1. a M = N N , N ↑(↓) is the spin-up (down) charge density
  2. bIn meV
  3. cThe energy of state C-AF-I (the ground state) is set to 0
  4. dabs(M) is the total absolute magnetization, in μ B