XPS of Co((Pyipa))2; at the Co2p edge (top), the N1s edge (middle) and the P2p ..... For the 2-day incubated samples, XPS fitting was performed using CasaXPS ...
a
b
3
1.2 T (cm mol K)
-1
2 1.5 1
0
1
0.9
0.5 0
1.1
3.
3.
-1
T (cm mol K)
2.5
1.3
50
100
150 T (K)
200
250
300
0.8 0
50
100
150
200
250
T (K)
Supplementary Figure 1. χMT = f(T) curve for Co(Pyipa)2 (a) and Ni(Pyipa)2 (b). Solid line corresponds to the best fit.
1
a
b 2
M (μ0B)
M (μ0B)
2
1
1 6K 4K 2K 0
0 0
15000 H /T(Oe/K)
30000
0
15000 H/T (Oe/K)
30000
Supplementary Figure 2. Reduced magnetization plots (M = f(µ0H/T) for Co(Pyipa)2 (a) and Ni(Pyipa)2 (b).
2
9000 8000 7000 6000 5000
Envelope
4000
counts/s
experimental N1s
3000 2000 1000
404
402
400
398
396
394
Binding Energy (eV)
P2p3/2 P2p1/2 Envelope
3000 2500 2000 1500 1000
conts/s
experimental P2p
500 0
136
134
132
130
128
Binding Energy (eV) Supplementary Figure 3. XPS of Co((Pyipa))2; at the Co2p edge (top), the N1s edge (middle) and the P2p edge (bottom).
3
9000
Envelope
8000 7000 6000 5000 4000
counts/s
experimental N1s
3000 2000 1000
404
402 400 398 396 Binding Energy (eV)
394
experimental P2p
2500
P2p3/2
2000
P2p1/2
1500
Envelope
1000
counts/s
3000
500 0
136
134 132 130 Binding Energy (eV)
128
Supplementary Figure 4. XPS of Ni((Pyipa))2; at the Ni2p edge (top), the N1s edge (middle) and the P2p edge (bottom)
4
Supplementary Figure 5. XPS of Co((Pyipa))2; at the Co2p edge (top), the N1s edge (middle) and the P2p edge (bottom) of fresh (red) and 2-day incubated (blue) samples.
5
Supplementary Figure 6. XPS of Ni((Pyipa))2; at the Ni2p edge (top), the N1s edge (middle) and the P2p edge (bottom) of fresh (red) and 2-day incubated (blue) samples.
6
Supplementary Figure 7. AFM images. a, Fe3O4; b, surface profile of Fe3O4 as indicated by the blue line; c monolayer of Ni(Pyipa)2; d, surface profile of Ni(Pyipa)2 as indicated by the blue line.
7
1600
800
Fe2O2PO3H
-
800
400
0 223
400
200
223.5
224 m/z
224.5
225
0 209
Co(C5H4NCHN)2+
300
700
210
210.2 210.4 210.6
CoC5H4NCHNH2+
600
Intensity (counts)
250 200 150
500 400 300
100
200
50
100
0 268.4
209.2 209.4 209.6 209.8 m/z
800
350
Intensity (counts)
CoFeOPO3-
600
Intensity (counts)
Intensity (counts)
1200
268.6
268.8
269 m/z
269.2
269.4
0 165.5
165.7
165.9
166.1
166.3
166.5
m/z
Supplementary Figure 8. Representative Tof-SIMS spectra of Co(Pyipa)2 on epitaxial F3O4(111) for the negative (top) and positive (bottom) modes.
8
4000
900
NiNC2H4PO3-
3500
NiFeO2PO3H-
Intensity (counts)
Intensity (counts)
3000 2500 2000 1500
600
300
1000 500 0 178.2
178.4
178.6
178.8 179 m/z
179.2
179.4
0 225
1200
226.5
227
Ni(C5H4NCHN)2+
120
900 600 300 0 163.5
226 m/z
150
NiC5H4NCHN+ Intensity (counts)
Intensity (counts)
1500
225.5
90 60 30
163.7
163.9 m/z
164.1
164.3
0 267.5
267.7
267.9
268.1
268.3
268.5
m/z
Supplementary Figure 9. Representative Tof-SIMS spectra of Ni(Pyipa)2 on epitaxial F3O4(111) for the negative (top) and positive (bottom) modes.
9
Supplementary Figure 10. Tof-SIMS spectra of Ni(Pyipa)2 (a and c) and Co(Pyipa)2 (b and d) on epitaxial F3O4(111) for the negative (top) and positive (bottom) modes.
10
3.5
XAS (a.u.)
3.0
L3
2.5 2.0
σ+ σ-
1.5
θ = 45o L2
XMCD (a.u.)
1.0 0.5 0.0 -0.5 700
720 710 Energy (e.V.)
730
740
Supplementary Figure 11. XAS/XMCD of bare epitaxial Fe3O4(111). Iron L2,3 edge XAS and XMCD spectra recorded at T = 2 K, and θ = 45° using left (σ+) and right hand (σ-) circularly polarized light in 6.5 T field.
11
a 3.0 L3
XAS (a.u.)
2.5
σ+ σ-
2.0 1.5
θ = 45o
1.0
L2
XMCD (a.u.)
0.5 0.0 -0.5 700
710 720 Energy (e.V.)
b
730
740
XAS (a.u.)
3.0 L3
2.5 2.0
σ+ σ-
1.5
θ = 45o
XMCD (a.u.)
1.0
L2
0.5 0.0 -0.5 700
720 710 Energy (e.V.)
730
740
Supplementary Figure 12. XAS/XMCD of epitaxial F3O4(111). Iron L2,3 edge XAS and XMCD spectra recorded at T = 2 K, and θ = 45° using left (σ+) and right hand (σ-) circularly polarized light in 6.5 T field. a Co(Pyipa)2 monolayer was deposited onto the Fe3O4; b Ni(Pyipa)2 monolayer was deposited onto the Fe3O4.
12
a
4.0 L2
XMCD (a.u.)
XAS (a.u.)
L3
σ+ σ-
3.8
θ = 0o
0.0
CoPyipa2
-0.1 770
780 790 Energy (e.V.)
800
b L2
4.0
XMCD (a.u.)
XAS (a.u.)
L3 σ+ σθ = 0o
3.8
0.0
-0.1 NiPyipa2 840
850
860 Energy (e.V.)
870
Supplementary Figure 13. XAS/XMCD of Co(Pyipa)2 and Ni(Pyipa)2. a, Cobalt L2,3 edge XAS and XMCD spectra recorded at T = 2 K, and θ = 0° using left (σ+) and right hand (σ-) circularly polarized light in 6.5 T field. b, Nickel L2,3 edge XAS and XMCD spectra recorded at T = 2 K, and θ = 0° using left (σ+) and right hand (σ-) circularly polarized light in 6.5 T field. Note that the non-flat background for the XMCD for Co comes from the XMCD signal of the Fe L2,3 edges and can be removed by recording the XMCD on a pure Fe3O4 surface in the energy range of the Co L2,3 edges. This step is what has been done to obtain Figures S11c and S13.
13
a 0.002
XMCD (a.u.)
0.0 -0.002 -0.004 -0.006 Fe Co
-0.008 θ=0
CoPyipa2
-0.010 770 b
o
780 790 Energy (e.V.)
800
0.005
XMCD (a.u.)
0.0
-0.005
-0.010 Fe Co θ = 45o CoPyipa2
-0.015 770
780 790 Energy (e.V.)
800
c 0.002
XMCD (a.u.)
0.0 -0.002 -0.004 -0.006 -0.008 -0.010 Co-Fe background θ = 45o
-0.012 -0.014 770
780
790
CoPyipa2 800
Energy (e.V.)
Supplementary Figure 14. XMCD of Co(Pyipa)2 and Fe3O4 at the Cobalt L2,3 edge spectra recorded at T = 2 K, θ = 0° (a), and θ = 45° (b, and c) using left (σ+) and right hand (σ-) circularly polarized light in 6.5 T field. The black line in a and b indicated the background signal arising from the Fe3O4 substrate. The background was subtracted to produce Figure S11c.
14
a
XAS (a.u.)
5 L3
4 3
L2
2
XMCD (a.u.)
1
b
0 -1 -2 780 Energy (e.V.) 5.4 4.5
XAS (a.u.)
800
L3
3.6 L2
2.7 1.8
XMCD (a.u.)
0.9 0.0 -0.9 -1.8 860 Energy (e.V.)
880
Supplementary Figure 15. XAS/XMCD of a bulk, dropped casted, layer of Co(Pyipa)2 and Ni(Pyipa)2. a, Cobalt L2,3 edge XAS and XMCD spectra recorded at T = 2 K, and θ = 45° using left (σ+) and right hand (σ-) circularly polarized light in 6.5 T field. b, Nickel L2,3 edge XAS and XMCD spectra recorded at T = 2 K, and θ = 45° using left (σ+) and right hand (σ-) circularly polarized light in 6.5 T field.
15
a
Fe - Surface
0.2
b
CoPyipa2
Fe - Surface
0.2
o
NiPyipa2
o
θ=0
θ=0 0.008
0.004 0.1
0.004 0.0
0.0
-0.004 -0.1
XMCD (a.u.)
XMCD (a.u.)
0.1
0.002 0.0
0.0
-0.002 -0.1 -0.004
-0.008 -0.2
-0.2 -8
-6
-4
-2
0 μ0H(T)
2
4
6
8
-8
-6
-4
-2
0 μ0H(T)
2
4
6
8
Supplementary Figure 16. Element-specific field dependence of the magnetization of the Co atoms of Co(Pyipa)2, the Ni atoms of Ni(Pyipa)2 and of the ferrimagnetic surface (Fe). Hysteresis curves in the ± 6 T field range (multiplied by -1) of the Co atoms (blue), Ni atoms (green) and Fe atoms (grey) obtained at the L2,3 edges XMCD maxima at T = 2 K, and θ = 0°. (Monochromatized X-rays are set at the energy of the maximum absolute value of the XMCD signal (i.e. hν = 777.5 eV for Co, hν = 851 eV for Ni, and hν = 707 eV for Fe) then the external magnetic field is switched step by step from +6.5 T down to -6.5 T and back to +6.5 T. At each step the magnetic field is switched from left to right circular polarization to yield the element specific magnetization curves.
16
Supplementary Figure 17. XAS/XMCD of Co(Pyipa)2 deposited onto an Al2O3 terminated Fe3O4. Cobalt L2,3 edge XAS and XMCD spectra recorded at T = 2 K, θ = 0° (red line), and θ = 45° (black line) using left (σ+) and right hand (σ-) circularly polarized light in 6.5 T field.
17
45
XMCD (a.u.)
0.01
0.0
-0.01
-8
-6
-4
-2
0 μ0H(T)
2
4
6
8
Supplementary Figure 18. Element-specific field dependence of the magnetization of the Co atoms of Co(Pyipa)2 on the ferrimagnetic surface (Fe) separated by an Al2O3 insulating layer. Hysteresis curves (multiplied by -1) of the Co atoms obtained at the L2,3 edges XMCD maxima at T = 2 K, θ = 45°. (Monochromatized X-rays are set at the energy of the maximum absolute value of the XMCD signal (i.e. hν = 777.5 eV for Co) then the external magnetic field is switched step by step from +6.5 T down to -6.5 T and back to +6.5 T. At each step the magnetic field is switched from left to right circular polarization to yield the element specific magnetization curves.
18
Solution 1
Solution 2
MII
MII
FeA
FeB
FeC
MII = NiII;
E1 = 5J1 + 5 J2 + 25 J3 2 2
MII = CoII; E1 = 15 J1 + 15 J2 + 25 J3 2 4 2
FeA MII = NiII;
FeB
E2 = - 5J1 - 5 J2 + 25 J3 2 2
MII = CoII; E2 = - 15 J1 - 15 J2 + 25 J3 2 4 2
Solution 3
Solution 4
MII
MII
FeA
FeB
MII = NiII;
E3 = 5J1 - 5 J2 - 25 J3 2 2
FeC
MII = CoII; E3 = 15 J1 - 15 J2 - 25 J3 2 4 2
FeC
FeA
FeB
MII = NiII;
E4 = - 5J1 +5 J2 - 25 J3 2 2
FeC
MII = CoII; E4 = - 15 J1 + 15 J2 - 25 J3 2 4 2
Supplementary Figure 19. DFT broken symmetry solutions and their analytical energies as functions of the magnetic exchange coupling parameters J1, J2 and J3. Solutions 1 and 2 correspond to the situation when the surface FeIII ions are ferromagnetically coupled and the MII ions are ferro- and antiferromagnetically coupled to them, respectively; solutions 3 and 4 correspond to the situation when the surface FeIII ions are antiferromagnetically coupled and the MII ions are ferro- and antiferromagnetically coupled to them, respectively. Although solutions 1 and 2 (ferromagnetic coupling between Fe ions of the surface) are lower in energy than solutions 3 and 4 (antiferromagnetic coupling between Fe ions of the surface), the coupling between the complexes and the substrate is independent from the nature of the coupling within the substrate because equations E1 – E2 and E3 – E4 are a function of J1 and J2 only
19
Supplementary Table 1. Crystallographic data for complex Co(Pyipa)2 and Ni(Pyipa)2. Compound Formula fw Crystal size / mm3 Crystal system Space group a, Å b, Å c, Å α, ° β, ° γ, ° Cell volume, Å3 Z T, K F000 µ / mm–1
θ range / ° Refl. collected Refl. unique Rint GOF Refl. obs. (I>2σ(I)) Parameters wR2 (all data) R value (I>2σ(I)) Largest diff. peak and hole (e-.Å-3)
Co(Pyipa)2 C16CoH20N4O6P2, 485.23 0.11 x 0.07 x 0.04 monoclinic C 2/c 26.3780(13) 9.0590(4) 16.5517(7) 90 102.2860(10) 90 3864.6(3) 8 100(1) 1992 1.097 1.58 – 30.51 29 403 5 844 0.0616 1.031 3 926 676 0.1299 0.0524 -0.967; 1.996
Ni(Pyipa)2 C16H20N4NiO6P2, 484.99 0.24 x 0.06 x 0.01 monoclinic C 2/c 25.9071(8) 9.1614(3) 16.4713(4) 90 100.9560(10) 90 3838.1(2) 8 100(1) 2000 1.221 1.60 – 30.51 29 473 5 540 0.0340 1.036 4 321 266 0.1401 0.0540 -1.268 ; 1.642
20
Supplementary Table 2. XPS peak ratio of the fresh and 2-day incubated samples. Ni samples fresh 2-days incubation
%Ni 14 14
%N 57 54
%P 29 32
Co samples fresh 2-days incubation
%Co 14 14
%N 54 52
%P 32 34
theoretical
1
4
2
21
Supplementary Table 3. Ions detected by Tof-SIMs for Co(Pyipa)2. Important peaks are highlighted in yellow. Co system
detected mass (m/z)
theoretical mass (m/z)
Co
58.93
58.933
CoPO3-
137.90
137.892
150.89
150.888
138.90
138.900
CoPO3FeO
209.83
209.822
Co(PO3)2FeO-
288.78
288.780
304.76
304.775
180,93 (sh)
180.934
N(CH2)2CoPO3
179,90 (sh)
179.926
Co+
58,93 (sh)
58.933
59.94
59.941
163,98 (sh)
163.978
164,99 (weak)
164.986
165.99
165.994
CoC5H4NCHNCH2
178 (weak)
177.994
CoC5H4NCHNCH3+
179 (weak)
179.002
CoC5H4NCHNC2H5+
193,02 (weak)
193.017
268.99
269.024
-
FeOPO3- -
CoPO3H -
Co(PO3)2FeO2- -
N(CH2)2CoPO3H -
+
CoH +
CoC5H4NCHN CoC5H4NCHNH+ +
CoC5H4NCHNH2 +
+
Co(C5H4NCHN)2
22
Supplementary Table 4. Ions detected by Tof-SIMs for Ni(Pyipa)2. Important peaks are highlighted in yellow. Ni system
detected mass (m/z)
theoretical mass (m/z)
57.94
57.935
58.94
58.943
NiFeOPO3H
209.83
209.831
-
NiFeO2PO3H
225.83
225.826
NiNC2H4PO3-
178.92
178.928
Ni+
57.94
57.935
58.94
58.943
113.87
113.870
129.87
129.865
162.99
162.981
163.99
163.988
NiC5H4NCHNCH2
176.99
176.996
NiC5H4NCHNCH3+
178.00
178.004
NiC5H4NCHNC2H5+
192.02
192.020
268.02
268.026
-
Ni NiH- -
+
NiH NiFe+ +
NiFeO NiC5H4NCHN+ +
NiC5H4NCHNH +
+
Ni(C5H4NCHN)2
23
Supplementary Table 5. Energies in a.u. of the four broken symmetry solutions calculated at the B3LYP level and depicted in Figure S16 for the Ni and Co complexes. M/E(a.u.) E1 E2 E3 E4 Ni -8187.1889526 -8187.1897272 -8187.1843507 -8187.1852164 Co -8061.646066 -8061.640701 -8061.639038 -8061.637022
24
Supplementary Discussion Ab initio calculations of the complexes. Ab initio calculations using the spin-orbit state interaction (SOSI) method, which treats the spin-orbit coupling (SOC)1,2 in the wave function theory (WFT)- based framework (implemented in the MOLCAS code3) permits the calculation of the ZFS parameters from first principles and the determination of the orientation of the main axes of the anisotropy tensor according to a well-established method, which is known to provide accurate results.4-10 The calculations, in very good agreement with experimental data, lead to DNi = -3.4 cm-1 and ENi = 0.7 cm-1, which corresponds to a weak separation between the ground MS = ±1 (not degenerate because E ≠ 0 for a non Kramers sub-levels) and the excited MS = 0 of 3.4 cm-1. The easy axis of magnetization was found to be perpendicular to the C2 symmetry axis of the molecule and makes an angle of 10° with the Namine-Ni-Namine direction. For Co(Pyipa)2, the calculation gives DCo = + 32.3 cm-1 and ECo = 4.1 cm-1, which corresponds to a large energy separation between the ground MS = ±1/2 and the excited MS = ± 3/2 sub-levels of 64.6 cm-1 (= 2|D|). XPS analysis. For the 2-day incubated samples, XPS fitting was performed using CasaXPS and IgorPro Wavemetrics. Photoemitted electron data spectra were decomposed using mixed Lorenzian and Gaussian (1/3;2/3) peaks for carbon, phosphorus and nitrogen. In the case of metal, e.g. cobalt and nickel, the peaks are composed of Gaussian and Lorenzian peaks. The energetic splitting for 2P 1/2 and 2P 3/2 for the phosphorus element was fixed at 0.7 eV, and the intensity set at 1/3 to 2/3 respectively. The atomic ratio was determined using the surface area of each peak for each element taking in consideration the Scofield factors. For the asdissolved samples, the areas of the peaks were measured after background correction of Shirley type,11 and then corrected using Scofield parameters (Ni-2p3/2 : 14.610 ; Co-2p3/2 : 12.620 ; N-1s : 1.80 et P-2p : 1.192). These procedures allow quantification of the relative percentages of the three elements M (Ni or Co), N and P for the four samples shown in supplementary Table 2. Density Functional Theory – Geometrical optimization of the complexes on the surface. In our calculations, we have considered an 8 ML slab of 4 x 4 unit cells of Fe3O4 oriented along the (111) direction and two k-points. We have set the molecule in three different initial configurations, namely a physisorbed configuration and two chemisorbed configurations, considering the anchoring of the molecule with two
25
equivalent or non-equivalent oxygen atoms of the surface. Then, we have proceeded to a DFT molecular dynamic simulation at room temperature to reproduce the experimental conditions of molecular deposition on the surface, followed by a structural optimization at 0K to determine the final configuration on the surface. This well-established procedure12 gives us a stable structure in the three configurations, as well as the molecular adsorption energies: Physisorption: -2.51 eV/molecule Chemisorption (non equivalent O): -8.14 eV/molecule Chemisorption (equivalent O): -10.11 eV/molecule The latter configuration seems to be the most stable, defining the molecular orientation observed in the experiments and more importantly the site where the molecules are linked to the Fe surface atoms. Sum rule calculations. For CoII (in a monolayer of Co(Pyipa)2) the number of hole was taken to be nh = 3, which results, at θ = 0°, in an orbit magnetic moment ML = -µB⟨LZ⟩ = 0.39 ± 0.03 µB and a spin magnetic moment MS = -g0µB⟨SZ⟩ = 1.19 ± 0.08 µB, corresponding to a total magnetic moment M = ML + MS = 1.58 ± 0.11 µB. For CoII (in a monolayer of Co(Pyipa)2) the number of hole was taken, again, to be nh = 3, which results, at θ = 45°, in an orbit magnetic moment ML = -µB⟨LZ⟩ = 0.44 ± 0.03 µB and a spin magnetic moment MS = -g0µB⟨SZ⟩ = 1.39 ± 0.08 µB, corresponding to a total magnetic moment M = ML + MS = 1.83 ± 0.11 µB. For NiII (in a monolayer of Ni(Pyipa)2) the number of hole was taken, again, to be nh = 2, which results, at θ = 45°, in an orbit magnetic moment ML = -µB⟨LZ⟩ = 0.35 ± 0.02 µB and a spin magnetic moment MS = g0µB⟨SZ⟩ = 1.39 ± 0.12 µB, corresponding to a total magnetic moment M = ML + MS = 1.74 ± 0.14 µB (the error bars are estimated to 10 % and stem mainly from the normalization procedure and the background subtraction). For NiII (in a monolayer of Ni(Pyipa)2) the number of hole was taken to be nh = 2, which results, at θ = 45°, in an orbit magnetic moment ML = -µB⟨LZ⟩ = 0.34 ± 0.02 µB and a spin magnetic moment MS = -g0µB⟨SZ⟩ = 1.50 ± 0.12 µB, corresponding to a total magnetic moment M = ML + MS = 1.84 ± 0.14 µB (the error bars are estimated to 10 % and stem mainly from the normalization procedure and the background subtraction). The values for both Co and Ni in a thick monolayer are comparable to those found in the monolayer at θ = 45°. For CoII (in a monolayer of Co(Pyipa)2 deposited onto Al2O3) the number of hole was taken to be nh = 3, which 26
results, at θ = 0°, in an orbit magnetic moment ML = -µB⟨LZ⟩ = 0.60 ± 0.03 µB and a spin magnetic moment MS = -g0µB⟨SZ⟩ = 1.52 ± 0.08 µB, corresponding to a total magnetic moment M = ML + MS = 2.12 ± 0.14 µB (the error bars are estimated to 10 % and stem mainly from the normalization procedure and the background subtraction). For CoII (in a monolayer of Co(Pyipa)2 deposited onto Al2O3) the number of hole was taken, again, to be nh = 3, which results, at θ = 45°, in an orbit magnetic moment ML = -µB⟨LZ⟩ = 1.45 ± 0.03 µB and a spin magnetic moment MS = -g0µB⟨SZ⟩ = 1.39 ± 0.08 µB, corresponding to a total magnetic moment M = ML + MS = 2.84 ± 0.14 µB (the error bars are estimated to 10 % and stem mainly from the normalization procedure and the background subtraction). Density Functional Theory – calculation of the magnetic coupling between the molecules the surface. These calculations have been performed using the B3LYP functional of the GAUSSIAN 09 package.13,14 First, the structure of each complex anchored to the surface was optimized. The effect of the surface onto the complex was modeled as follows: a piece containing three FeIII centers and the coordinated O atoms (see Figure 5) was cut into the structure that was predetermined by the molecular dynamics technique. The external oxo anions were protonated. It is important to note that even if the surface model is approximated, it is exactly the same for both complexes. The structure of the model surface was frozen and the structure of the whole complex was optimized for the Ms = 18/2 (Co(Pyipa)2) or Ms = 17/2 (Ni(Pyipa)2) solution corresponding to a ferromagnetic coupling between the three FeIII and the CoII or NiII metal centers. Very small spin contamination is observed: for Co(Pyipa)2, S = 9.03, compared to an expected value of S = 9.00 without spin contamination; for Ni(Pyipa)2, S = 8.52 vs an expected value of S = 8.50. For both complexes, the spin density of the central the FeIII centers are almost the same and independent of the Ms values. A substantial spin density delocalization toward the O atoms bound to the Fe centers is observed in both cases (as usual in metal oxides).15-19 The CoII and NiII ions have spin densities of 1.33 and 0.86, respectively. Unexpectedly, the coordination sphere of Ni(Pyipa)2 is slightly smaller than that of Co(Pyipa)2 as can be seen from the differences in bond distances: NiN distances are between 2.03Å and 2.15Å (average 2.10Å); Ni-O distances are 2.03Å and 2.08Å; Co-N distances are between 2.05Å and 2.19Å (average 2.14Å); Co-O distances are 2.09Å and 2.24Å. The distance
27
from the metal center to the closest FeIII ion is shorter by 0.5 Å for Ni (Pyipa)2 than that of Co (Pyipa)2 (4.27Å vs. 4.77Å). Second, the solution corresponding to a ferromagnetic coupling between the FeIII centers and an antiferromagnetic coupling with the CoII and NiII ions was computed (Ms = 12/2 and Ms = 13/2 for Co- and Ni(Pyipa)2, respectively). It should be noted that the extraction of the magnetic couplings J1 and J2 is independent of the nature of the surface couplings, since the equations E1-E2 and E3-E4 which have been used are functions of J1 and J2 only. As expected, the spin contamination of these solutions is larger but it remains small: S = 6.28 (exp. 6.00) for Co(Pyipa)2; S = 6.67 (exp. 6.50) for Ni(Pyipa)2. The spin densities on the iron centers are almost the same as in the high-spin solution (variations of less than 0.02); that of CoII and NiII are 1.40 and -0.87, respectively.
28
Supplementary References 1 Malmqvist, P. A., Roos, B. O. & Schimmelpfennig, B. The restricted active space (RAS) state interaction approach with spin-orbit coupling. Chem. Phys. Lett. 357, 230-240, (2002). 2 Roos, B. O. & Malmqvist, P.-A. Relativistic quantum chemistry: the multiconfigurational approach. Phys. Chem. Chem. Phys. 6, 2919-2927, (2004). 3 Karlstroem, G. et al. MOLCAS: a program package for computational chemistry. Comput. Mater. Sci. 28, 222-239, (2003). 4 Ruamps, R. et al. Giant Ising-Type Magnetic Anisotropy in Trigonal Bipyramidal Ni(II) Complexes: Experiment and Theory. J. Am. Chem. Soc. 135, 3017-3026, (2013). 5 Maurice, R., Graaf, C. d. & Guihéry, N. Theoretical determination of spin Hamiltonians with isotropic and anisotropic magnetic interactions in transition metal and lanthanide complexes. Phys. Chem. Chem. Phys. 15, 18784, (2013). 6 Ruamps, R. et al. Origin of the Magnetic Anisotropy in Heptacoordinate NiII and CoII Complexes. Chem. -Eur. J. 19, 950-956, (2012). 7 Batchelor, L. J. et al. Pentanuclear cyanide-bridged complexes based on highly anisotropic Co(II) seven-coordinate building blocks: synthesis, structure, and magnetic behavior. Inorg. Chem. 50, 12045-12052, (2011). 8 Maurice, R., Guihéry, N., Bastardis, R. & Graaf, C. d. Rigorous Extraction of the Anisotropic Multispin Hamiltonian in Bimetallic Complexes from the Exact Electronic Hamiltonian. J. Chem. Theory Comput. 6, 55-65, (2010). 9 Maurice, R., de Graaf, C. & Guihéry, N. Magnetic anisotropy in binuclear complexes in the weak-exchange limit: From the multispin to the giant-spin Hamiltonian. Phys. Rev. B 81, 214427, (2010). 10 Maurice, R. et al. Universal Theoretical Approach to Extract Anisotropic Spin Hamiltonians. J. Chem. Theory Comput. 5, 29772984, (2009). 11 Végh, J. The analytical form of the Shirley-type background. J. Electron Spectrosc. Relat. Phenom. 46, 411-417, (1988). 12 Schull, G., Dappe, Y. J., González, C. s., Bulou, H. & Berndt, R. Charge Injection through Single and Double Carbon Bonds. Nano Letters 11, 3142-3146, (2011). 13 Gaussian 03 (Revision B.05) (Gaussian, Inc., Pittsburgh, PA, 2003). 14 Gaussian 09 (Revision C.01) (Gaussian, Inc., Pittsburgh, PA, 2003). 15 Gellé, A., Munzarová, M. L., Lepetit, M.-B. & Illas, F. Role of dynamical polarization of the ligand-to-metal charge transfer excitations in ab initio determination of effective exchange parameters. Phys. Rev. B 68, 125103, (2003). 16 Labèguerie, P. et al. Is it possible to determine rigorous magnetic Hamiltonians in spin s=1 systems from density functional theory calculations? J. Chem. Phys. 129, 154110, (2008). 17 Calzado, C. J. On the Controversial Fitting of Susceptibility Curves of Ferromagnetic CuII Cubanes: Insights from Theoretical Calculations. Chem.-Eur. J. 19, 1254-1261, (2013). 18 Malrieu, J. P., Caballol, R., Calzado, C. J., de Graaf, C. & Guihéry, N. Magnetic Interactions in Molecules and Highly Correlated Materials: Physical Content, Analytical Derivation, and Rigorous Extraction of Magnetic Hamiltonians. Chem. Rev. 114, 429-492, (2014). 19 Noh, J., Osman, O. I., Aziz, S. G., Winget, P. & Bredas, J.-L. A density functional theory investigation of the electronic structure and spin moments of magnetite. Sci. Tech. Adv. Mater. 15, 044202, (2014).
29