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A non-empirical calculation of 2p core-electron excitation in compounds with 3d transition metal ions using ligand-field and density functional theory (LFDFT)

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(1)

A non-empirical calculation of 2p core-electron excitation in

compounds with 3d metal transition ions by ligand-field and

density functional theory (LFDFT)

Harry Ramanantoanina*a and Claude Daulb

aPaul Scherrer Institute, CH-5232 Villigen, Switzerland; E-mail: [email protected] bDepartment of chemistry, University of Fribourg, Chemin du musée 9, CH-1700 Fribourg, Switzerland

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Fig. S1 LFDFT results of the 3d5 (6S

5/2) → 2p53d6 (in green), 3d4 (5D0) → 2p53d5 (in blue) and 3d3 (4F3/2) → 2p53d4 (in red)

transitions of free Mn2+, Mn3+ and Mn4+ ions: Lorentzian convolution of the oscillator strengths of the electronic transitions

with a half-width of half-maximum of 0.20 eV. The calculated parameters of the ligand field Hamiltonian are listed in Table 1.

Fig. S2 LFDFT results of the 3d5 (6S

5/2) → 2p53d6 transitions of free Mn2+ ion obtained from DFT calculations employing

the LDA (in green), GGA (in black) and Hybrid (in red) functional: Lorentzian convolution of the oscillator strengths of the electronic transitions with a half-width of half-maximum of 0.20 eV. The calculated parameters of the ligand field Hamiltonian are listed in Table 1.

640

650

660

670

0

1

Mn2+ Mn 3+ Mn 4+ Ei – E0 [eV] I [-] 6350 640 645 650 655 660 665 670 1 Ei – E0 [eV] I [-]

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Fig. S3 Radial functions of the Kohn-Sham orbitals with dominant 3d characters of Mn2+ obtained for the 3d5 (up, solid

curves) and 2p53d6 (down, dashed curves) electron configurations in free ion (in black) and in (MnF

6)4- embedded in MnF2

(in red and blue).

0 1 2 3 4 0.00 0.25 0.50 0.75 1.00 0 1 2 3 4 0.00 0.25 0.50 0.75 1.00

ζ

3

d

[e

V

]

ζ

2

p

[e

V

]

F

k

(3

d,

3d

)

[e

V

]

r

]

rR

3

d

ζ

3

d

[e

V

]

ζ

2

p

[e

V

]

F

k

(3

d,

3d

)

[e

V

]

r

]

rR

3

d

ζ

3d

[eV]

ζ

2p

[eV]

F

k

(3d, 3d) [eV]

r [Å]

rR

3d

ζ

3d

[eV]

ζ

2p

[eV]

F

k

(3d, 3d) [eV]

r [Å]

rR

3d

Figure

Fig. S1 LFDFT results of the 3d 5  ( 6 S 5/2 ) → 2p5 3 d 6  (in green), 3d 4  ( 5 D 0 ) → 2p5 3 d 5  (in blue) and 3d 3  ( 4 F 3/2 ) → 2p5 3 d 4  (in red)  transitions of free Mn 2+ , Mn 3+  and Mn 4+  ions: Lorentzian convolution of the oscillator strengt
Fig.  S3  Radial  functions  of  the  Kohn-Sham  orbitals  with  dominant  3d  characters  of  Mn 2+   obtained  for  the  3d 5   (up,  solid  curves) and 2p 5 3d 6  (down, dashed curves) electron configurations in free ion (in black) and in (MnF 6 ) 4-  e

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