Content uploaded by Alexander S. Chuprin
Author content
All content in this area was uploaded by Alexander S. Chuprin on Jun 27, 2023
Content may be subject to copyright.
Mossbauer1_si_24.04.2023.docx / 19 June 2023 1
Mossbauer1_si_24.04.2023.docx / 19 June 2023 1
Supporting Information
for
57Fe Mössbauer and DFT study of the electronic and spatial structure of the
iron(II) (pseudo)clathrochelates: the effect of a ligand field strength
Denis V. Balatskiy,a Alexander S. Chuprin,b,c Semyon V. Dudkin,b,c Luis Felipe
Desdín-García,d Angel Luis Corcho-Valdés,d Manuel Antuch,d
Vyacheslav M. Buznik,c Svetlana Yu. Bratskaya,a Yan Z. Voloshin b,c
a Institute of Chemistry, Far Eastern Branch of the Russian Academy of
Sciences, 159 100-letiya Vladivostoka pr., 690022 Vladivostok, Russia
b Nesmeyanov Institute of Organoelement Compounds of the Russian Academy
of Sciences, 28-1 Vavilova st., 119334 Moscow, Russia
c Kurnakov Institute of General and Inorganic Chemistry of the Russian
Academy of Sciences, 31 Leninsky pr., 119991 Moscow, Russia
d Centro de Aplicaciones Tecnológicas y Desarrollo Nuclear, No. 502, Calle 30
y 5ta Ave. Miramar, CP 11300 La Habana, Cuba
Electronic Supplementary Material (ESI) for Physical Chemistry Chemical Physics.
This journal is © the Owner Societies 2023
Mossbauer1_si_24.04.2023.docx / 19 June 2023 2
Mossbauer1_si_24.04.2023.docx / 19 June 2023 2
N
N
Fe2+
N
N N
O
O
OB
NHNHNH
N
Cl
Chemical drawing
Experimental 57Fe Mössbauer data:
(Isomer shift, IS, relative to -Fe) = 0.99 mm/s
Eq (Quadrupole splitting, QS) = 3.55 mm/s
Fe2+@L1
Figure S1. General view of the molecule Fe(PzOx)3(BC6H5)Cl
High-spin iron(II) complex
X-Ray
Mossbauer1_si_24.04.2023.docx / 19 June 2023 3
Mossbauer1_si_24.04.2023.docx / 19 June 2023 3
N
N
Fe2+
N
NN
O
O
O
B
N
H3C
H3CCH3
(ClO4–)
+
Chemical drawing
Experimental 57Fe Mössbauer data:
(Isomer shift, IS, relative to -Fe) = 0.19 mm/s
Eq (Quadrupole splitting, QS) = 0.0 mm/s
Fe2+@L2
Figure S2. General view of the molecule [Fe(AcPyOx)3(BC6H5)](ClO4)
Low-spin iron(II) complex
X-Ray
Mossbauer1_si_24.04.2023.docx / 19 June 2023 4
Mossbauer1_si_24.04.2023.docx / 19 June 2023 4
N
N
Fe2+
N
N N
O
O
O
B
OHOHO
N
O
Chemical drawing
Experimental 57Fe Mössbauer data:
(Isomer shift, IS, relative to -Fe) = 0.13 mm/s
Eq (Quadrupole splitting, QS) = 0.56 mm/s
Fe2+@L3
Figure S3. General view of the molecule FeNx(HNx)2(B4-C6H4CHO)
Low-spin iron(II) complex
X-Ray
Mossbauer1_si_24.04.2023.docx / 19 June 2023 5
Mossbauer1_si_24.04.2023.docx / 19 June 2023 5
N
N
Fe2+
N
N N
O
O
O
B
OO
B
O
N
Cl
Cl
Cl
Cl
O
O
Cl
Cl
Chemical drawing
Experimental 57Fe Mössbauer data:
(Isomer shift, IS, relative to -Fe) = 0.13 mm/s
Eq (Quadrupole splitting, QS) = 0.71 mm/s
Fe2+@L4
Figure S4. General view of the molecule Fe(Cl2Gm)3(B3-C6H4CHO)2
Low-spin iron(II) complex
X-Ray
Mossbauer1_si_24.04.2023.docx / 19 June 2023 6
Mossbauer1_si_24.04.2023.docx / 19 June 2023 6
Fe2+
N
N N
O
O
OB
OO
BO
N
S
S
O
O
N
N
S
SS
S
Chemical drawing
Experimental 57Fe Mössbauer data:
(Isomer shift, IS, relative to -Fe) = 0.09 mm/s
Eq (Quadrupole splitting, QS) = 0.70 mm/s
Fe2+@L5
Figure S5. General view of the molecule Fe(S2-C6H4Gm)3(B3-C6H4CHO)2
Low-spin iron(II) complex
X-Ray
Mossbauer1_si_24.04.2023.docx / 19 June 2023 7
Mossbauer1_si_24.04.2023.docx / 19 June 2023 7
N
N
Fe2+
N
N N
O
O
OB
OOO
N
B
O
O
Chemical drawing
Experimental 57Fe Mössbauer data:
(Isomer shift, IS, relative to -Fe) = 0.03 mm/s
Eq (Quadrupole splitting, QS) = 0.65 mm/s
Fe2+@L6
Figure S6. General view of the molecule FeNx3(B4-C6H4CHO)2
Low-spin iron(II) complex
X-Ray
Mossbauer1_si_24.04.2023.docx / 19 June 2023 8
Mossbauer1_si_24.04.2023.docx / 19 June 2023 8
DFT calculation of QS values
Regarding the quadrupolar splitting, it should be said that the potential caused
by a point charge at a certain distance r from a nucleus is given by V(r) = q/r. The
electric field is the gradient of the potential, taken with a negative sign, i.e.
, and the gradient of the electric field is known as the electric field gradient
𝐸 = ‒ ∇𝑉
(EFG), which may be expressed as . The EFG may be written in matrix
𝐸𝐹𝐺 = ‒ ∇2𝑉
form, according to Eq. S1.
(S1),
𝐸𝐹𝐺 = ‒ ∇2𝑉=
[
𝑉𝑥𝑥 𝑉𝑥𝑦 𝑉𝑥𝑧
𝑉𝑦𝑥 𝑉𝑦𝑦 𝑉𝑦𝑧
𝑉𝑧𝑥 𝑉𝑧𝑦 𝑉𝑧𝑧
]
where , where and stand for combinations of the Cartesian
𝑉𝑖𝑗 =∂2𝑉 ∂𝑟𝑖∂𝑟𝑗𝑖 𝑗
coorinates , or .
𝑥 𝑦 𝑧
The hyperfine quadrupole splitting is originated from the coupling of a nuclear
electric quadrupole moment ( ) for nuclei with nuclear spin and a non-zero
𝑄 𝐼 > 1/2
EFG. In the case of the 57Fe nucleus, the nuclear transition occurs at
𝐼 = 1/2↔𝐼 = 3/2
14.41 eV. The spectral difference between the Kramers doublet
𝐼 = 3/2 𝑀𝐼 = ± 3/2
and may be expressed according to Eq. S2.
𝑀𝐼 = ± 1/2
(S2)
∆𝐸𝑄=
𝑒𝑄𝑉𝑧𝑧
2
(
1 + 𝜂2
3
)
where is an asymmetry parameter reflecting the asymmetry in
𝜂=
(
𝑉𝑥𝑥 ‒ 𝑉𝑦𝑦
)
/
(
𝑉𝑧𝑧
)
the distribution of the electrons around the nucleus; each component is taken as
. For the calculation of it is worth to consider that
|
𝑉𝑧𝑧
|
≥
|
𝑉𝑦𝑦
|
≥
|
𝑉𝑥𝑥
|
∆𝐸𝑄
, for 57Fe (where 1 ) and is calculated
𝑒= 1.602 ∙10 ‒19𝐶 𝑄 = 150 ‒ 160 𝑚𝑏 𝑚𝑏 = 10 ‒31 𝑚2𝑉𝑧𝑧
in atomic units ( ) via DFT (where ). The product
𝑎.𝑢. 1 𝑎.𝑢. = 9.717365 ∙10 21𝑉/𝑚2𝑒𝑄𝑉𝑧𝑧
has conventional units of while and
[𝐶][𝑚2][𝑉/𝑚2] = [𝐽] 1 𝐽 = 6.242 ∙10 18𝑒𝑉
.
1 𝑚𝑚/𝑠 = 4.805 ∙10 ‒8𝑒𝑉
Mossbauer1_si_24.04.2023.docx / 19 June 2023 9
Mossbauer1_si_24.04.2023.docx / 19 June 2023 9
Table S1. Calculation of an electron density at the 57Fe nucleus in the complex
(Fe2+)@L4 using the different convergence criteria; B3LYP functional; NRAD =
300
Electron density
Convergence
11578.995020
1.00E-05
11578.995008
1.00E-06
11578.995009
1.00E-07
Mossbauer1_si_24.04.2023.docx / 19 June 2023 10
Mossbauer1_si_24.04.2023.docx / 19 June 2023 10
Table S2. Calculation of an electron density at the 57Fe nucleus in the complex
(Fe2+)@L4 using the different NRAD values; B3LYP functional;
convergence = 1d-06
Electron density
Convergence
11578.995075
100
11578.995010
200
11578.995008
300
11578.995008
400
11578.995010
500
Mossbauer1_si_24.04.2023.docx / 19 June 2023 11
Mossbauer1_si_24.04.2023.docx / 19 June 2023 11
Table S3. Calculation of an electron density at the 57Fe nucleus in the complex
(Fe2+)@L4 using the experimental XRD and DFT-optimized geometries
Method
Electrond density
XRD
11578.995010
DFT
11578.995015
Mossbauer1_si_24.04.2023.docx / 19 June 2023 12
Mossbauer1_si_24.04.2023.docx / 19 June 2023 12
Table S4. The calculated QS values (mm/s) which were obtained using various
DFT functionals
Functional
Compound
Vzz (a.u.)
Vyy (a.u.)
Vxx (a.u.)
η
QScalcd
QSexp
(Fe2+)@L1
1.08
–0.82
–0.26
0.525
1.761
3.55
(Fe2+)@L2
0.06
–0.05
–0.01
0.632
0.096
0.00
(Fe2+)@L3
0.31
–0.27
–0.04
0.762
0.531
0.56
(Fe2+)@L4
–0.55
0.31
0.24
0.115
–0.867
0.71
(Fe2+)@L5
–0.16
0.13
0.03
0.592
–0.265
0.70
B3LYP
(Fe2+)@L6
–0.35
0.31
0.04
0.766
–0.604
0.65
(Fe2+)@L1
–0.88
0.82
0.06
0.854
–1.541
3.55
(Fe2+)@L2
0.28
–0.15
–0.13
0.089
0.434
0.00
(Fe2+)@L3
0.18
–0.16
–0.024
0.740
0.313
0.56
(Fe2+)@L4
–0.22
0.14
0.08
0.292
–0.342
0.71
(Fe2+)@L5
–0.10
0.08
0.02
0.589
–0.166
0.70
BP86
(Fe2+)@L6
0.11
–0.10
–0.005
0.898
0.189
0.65
(Fe2+)@L1
–0.81
0.63
0.18
0.553
–1.328
3.55
(Fe2+)@L2
0.28
–0.15
–0.13
0.082
0.439
0.00
(Fe2+)@L3
0.18
–0.16
–0.03
0.716
0.309
0.56
(Fe2+)@L4
–0.10
0.08
0.02
0.617
–0.162
0.71
(Fe2+)@L5
–0.85
0.79
0.06
0.855
–1.487
0.70
OLYP
(Fe2+)@L6
0.11
–0.10
–0.007
0.865
0.189
0.65
(Fe2+)@L1
–0.85
0.79
0.06
0.855
–1.487
3.55
(Fe2+)@L2
0.28
–0.15
–0.13
0.086
0.446
0.00
(Fe2+)@L3
0.18
–0.15
–0.025
0.720
0.302
0.56
(Fe2+)@L4
–0.20
0.13
0.07
0.298
–0.322
0.71
(Fe2+)@L5
–0.10
0.077476
0.02
0.609
–0.160
0.70
RPBE
(Fe2+)@L6
0.01
–0.092
–0.008
0.833
0.174
0.65
(Fe2+)@L1
0.89
–0.73
–0.15
0.654
1.487
3.55
(Fe2+)@L2
0.22
–0.12
–0.10
0.125
0.343
0.00
(Fe2+)@L3
0.19
–0.17
–0.023
0.764
0.333
0.56
(Fe2+)@L4
–0.26
0.15
0.10
0.202
–0.407
0.71
(Fe2+)@L5
–0.11
0.083918
0.02
0.590
–0.175
0.70
TPSS
(Fe2+)@L6
0.14
–0.13
–0.007
0.900
0.245
0.65
Mossbauer1_si_24.04.2023.docx / 19 June 2023 13
Mossbauer1_si_24.04.2023.docx / 19 June 2023 13
Table S5. The calculated QS values (mm/s) for the complex (Fe2+)@L4 which
were obtained using various basis sets
Basis set
Vzz (a.u.)
Vyy (a.u.)
Vxx (a.u.)
η
QScalcd
QSexp
STO-6G
–0.29
0.17
0.12
0.19
–0.454
631-G
–0.38
0.22
0.16
0.15
–0.595
CCT
–0.44
0.25
0.19
0.13
–0.685
TZV
–0.55
0.31
0.24
0.11
–0.867
SPKrTZV
–0.45
0.26
0.20
0.13
–0.713
0.71