Maria Francis1, Sudipta Roy1. 1. Department of Chemistry, Indian Institute of Science Education and Research (IISER) Tirupati, Tirupati 517507, India.
Abstract
Herein, we report on the stability and bonding analysis of donor-base-stabilized monomeric AlP species (1-6) of the general formula (L)P-Al(L'); [L = cAACMe, L' = cAACMe, NHCMe, PMe3, (N i Pr2)2 (1-4); L = L' = NHCMe, PMe3 (5 and 6); cAAC = cyclic alkyl(amino) carbene; NHC = N-heterocyclic carbene]. Energy decomposition analysis coupled with natural orbitals for chemical valence (EDA-NOCV) analysis indicates the synthetic viability of this class of species, stabilized in their singlet ground state, in the laboratory. The CL-P bond is found to be a partial double bond (WBI ∼ 1.45), while the CL/PL-Al bond is a single bond (WBI ∼ 0.42-0.69). These bonds are mostly covalent or dative σ/π bonds depending upon the ligands attached. The central P-Al bond is an electron-sharing covalent polar single bond (WBI ∼ 0.80; P-Al) for 1-4 and a dative σ bond for 5 and 6 (WBI ∼ 0.89-0.93; P-Al). The calculated intrinsic interaction energies of the central P-Al bonds are found to be in the range from -116 to -216 kcal/mol (1-3 and 5 and 6). This value is the highest for compound 3, possibly due to the push and pull effects from the ligands PMe3 and cAAC, respectively.
Herein, we report on the stability and bonding analysis of donor-base-stabilized monomeric AlP species (1-6) of the general formula (L)P-Al(L'); [L = cAACMe, L' = cAACMe, NHCMe, PMe3, (N i Pr2)2 (1-4); L = L' = NHCMe, PMe3 (5 and 6); cAAC = cyclic alkyl(amino) carbene; NHC = N-heterocyclic carbene]. Energy decomposition analysis coupled with natural orbitals for chemical valence (EDA-NOCV) analysis indicates the synthetic viability of this class of species, stabilized in their singlet ground state, in the laboratory. The CL-P bond is found to be a partial double bond (WBI ∼ 1.45), while the CL/PL-Al bond is a single bond (WBI ∼ 0.42-0.69). These bonds are mostly covalent or dative σ/π bonds depending upon the ligands attached. The central P-Al bond is an electron-sharing covalent polar single bond (WBI ∼ 0.80; P-Al) for 1-4 and a dative σ bond for 5 and 6 (WBI ∼ 0.89-0.93; P-Al). The calculated intrinsic interaction energies of the central P-Al bonds are found to be in the range from -116 to -216 kcal/mol (1-3 and 5 and 6). This value is the highest for compound 3, possibly due to the push and pull effects from the ligands PMe3 and cAAC, respectively.
Having a similar outer
valence shell with one crucial extra intranode
in the more diffused orbitals, stabilization of multiple bonds between
homo- and heterodiatomic third-row elements is of immense synthetic
challenge.[1] Moreover, the weaker side-on
overlap of the p-orbitals between these elements along with the significant
Pauli repulsion energy keeps the synthetic chemists at the bay.[2] Sketching the structure of these species on the
paper and subsequently trying to synthesize them in the laboratory
are always intriguing.[3] However, for theoretical
computational chemists, it is an ambitious goal to come up with the
required theoretical calculations in this technologically advanced
modern world to understand and predict the stability of such species.[3−15] In this regard, energy decomposition analysis coupled with natural
orbital for chemical valence (EDA-NOCV) analysis[16] is a sufficiently powerful computational tool to rationalize
and predict the stability of such synthetically elusive species. Hence,
EDA-NOCV is called the state-of-the-art calculation. In the past,
the stability of many unusual chemical species has been predicted,[17] and later on, they have been successfully synthesized
by synthetic chemists and isolated in the laboratory[18] in reasonable yields. In this regard, bulky ligands and/or
donor-base ligands played an extremely important role. Many of such
species have been stabilized by phosphines and carbenes (cAAC and
NHC; cAAC = cyclic alkyl(amino) carbene, NHC = N-heterocyclic
carbene) by their electronic effect rather than the steric effect.[19] The synthetic success achieved by employing
cAAC as a ligand in the past one and half decades[20] is enormous. Hence, cAAC can be compared to a unicorn among
the ligands in the field of main group chemistry in modern days.[14,19,20] It is astonishing to take a look
back at what chemists have achieved around the globe till now and
yet much more to come. Many of such cAAC-containing species have now
entered into the areas of application-based studies.[21]Aluminum phosphide has attracted the attention of
chemists due
to its usage as a fumigant, insecticide, rodenticide, and further
application as a precursor for the AlP source as composite materials
in the form of a crucial intermediate in hydrogen storage.[22−25] Very recently, the research group of H. Braunschweig isolated phospha-alumenes
(B) with a P=Al bond utilizing a bulky aryl ligand
on a P atom and a cyclopentadienyl group (Cp*) on an Al atom[26] after the initial prediction on the stability
of the P≡Al triple bond (A) by the group of Ming-Der
Su (Scheme ).[2] In this context, it is worth mentioning a few
examples of the molecular dimers and/or trimers of the P=Al
species.[27] Fascinated by these results,
we wondered whether the AlP monomer can be stabilized by introducing
neutral donor-base ligands, and herein, we report on the NBO, QTAIM,
and EDA-NOCV analysis of the donor-base-stabilized monomeric AlP species
(1–6) of the general formula (L)P–Al(L′)
[L = cAACMe, L′ = cAACMe, NHCMe, PMe3, (NPr2)2 (1–4); L = L′ = NHCMe, PMe3 (5 and 6); cAAC
= cyclic alkyl(amino) carbene; NHC = N-heterocyclic
carbene] (Scheme ).
Scheme 1
Reported Monomeric Aluminum Phosphides (AlP) (A–B) and the Theoretically Designed Donor-Base-Stabilized Compounds
(1–6) in the Present Study
Computational Methods
The geometry
optimization and frequency calculations of L–PAl–L′
with L, L′ = cAACMe (cyclic alkyl(amino) carbene)
(1), L = cAACMe, L′ = NHCMe (N-heterocyclic carbene) (2), L =
cAACMe, L′ = PMe3 (3), L
= cAACMe, L′ = (NPr2)2 (4), L, L′ = NHCMe (5), and L, L′ = PMe3 (6) compounds 1–6 in both singlet
and triplet electronic states have been performed using the Gaussian
16 program package at the BP86-D3(BJ)/def2-TZVPP level.[28] The absence of imaginary frequency assured the
minima of the potential energy surface (PES). The natural bond orbital
(NBO)[29] analysis for compounds 1–6 has been performed using the NBO 6.0[30] program to evaluate the partial charges, Wiberg
bond indices (WBI),[31] and natural bond
orbitals. EDA-NOCV analyses were performed using the ADF2020.102 program
package. EDA-NOCV[32] calculations were carried
out at the BP86-D3(BJ)/TZ2P level using the geometries optimized at
the BP86- D3(BJ)/def2-TZVPP level. The details of EDA-NOCV calculations
have been given in the Supporting Information (SI).
Results and Discussion
The calculations
at the BP86-D3(BJ)/def2-TZVPP level suggest that
compounds 1–6 are stable in their
singlet ground states (Figure ), and the corresponding triplet states are higher in energy
by 8.4 (1)–42.20 (4) kcal/mol (Table S3). Despite the fact that the BP86 functional
is now obsolete, we used it for the current calculations as it yielded
comparable results with the experimental values both in our previous
studies and also in similar studies reported in the literature.[33] In compounds 1, 5,
and 6, the P–Al fragment is flanked on both sides
by cAACMe, NHCMe, and PMe3, whereas
in compounds 2–4, P is bound to cAACMe and Al is bound to other donor ligands like NHCMe (2), PMe3(3), and NPr2 (4). The variation of
ligands is aimed at understanding the stability of the compounds in
this study with different donor ligands. The geometries shown in Figure illustrate that
the ligands are arranged in trans fashion with respect
to the P–Al moiety in 1, 2, 3, and 6, whereas in 5, the ligands
are cis to each other, which is also supported by
their corresponding torsion angles (Figure ). The CcAAC/NHC–P bond
lengths of 1–5 (Figure ) correlate well with the recently
reported theoretical/experimental values in (cAAC)2PSi(X)
and NHC-PSi(X) (X = Cl, F)[33c] and (cAAC)P–Cl,[34] respectively. The Al–L bond length varies
considerably depending upon the ligands employed and is the shortest
in 4, where L′ is two NPr2 groups, and the longest in compounds 3, 5, where L′ is PMe3 (Figure , Table S1). The Al–L′ bond lengths of 2 and 4 are longer than the single bond distances found
in the experimentally synthesized dimethylaluminum supported by functional
amine-linked NHC ligands (1.980–1.9832 Å)[35] and comparable to those of [bis-NHC]Al(Br)[Fe(CO)4] (2.048, 2.045 Å)[36] and [[(NHCDip)(H)2Al]2] (2.086 Å) molecules.[37] The computed P–Al distances (2.33–2.57
Å) of 1–6 are longer than the reported P≡Al
triple bond distance of 2.12 Å2 and the P=Al
double bond distance of 2.21 Å in Ar–P=Al(Cp*),[26] suggesting a P–Al single bond (Figure ). The P–Al
bond distances of 1–6 (Figure , Table S1) agree
well with the P–Al single bond lengths of the Lewis base-coordinated
phosphanylalumane, MesP(H)-Al(Br)(L)Bbp (2.407 Å).[38] The P–Al bond length (2.33 Å) in 4 is slightly shorter than the other compounds. While the
cAAC–P–Al bond angle (106.2–108.2°; Figure , Table S2) remains almost the same in 1–5, the P–Al–L′ angle, on the other hand,
varies with L′ in the order of 3 (79.4°,
PMe3) < 2 (85.1°, NHCMe) < 1 (91.2°, cAACMe) < 4 (117.2°, NPr2) (Figure , Table S2). The difference in P–Al–L′
angles can be attributed to the steric effect and bulkiness of the
ligands (L′).
Figure 1
Optimized geometries of compounds 1–6 in the singlet ground state with L, L′ = cAACMe (1); L = cAAC, L′ = NHCMe (2); L = cAAC, L′ = PMe3 (3);
L = cAAC, L′ = (NPr2)2 (4); L, L′ = NHCMe (5); and L, L′ = PMe3 (6) at
the BP86-D3(BJ)/def2-TZVPP level of theory.
Optimized geometries of compounds 1–6 in the singlet ground state with L, L′ = cAACMe (1); L = cAAC, L′ = NHCMe (2); L = cAAC, L′ = PMe3 (3);
L = cAAC, L′ = (NPr2)2 (4); L, L′ = NHCMe (5); and L, L′ = PMe3 (6) at
the BP86-D3(BJ)/def2-TZVPP level of theory.We have performed NBO analysis[29] to
understand the bonding pattern, charge distribution, and electron
density distribution. The NBO results infer that the CcAAC/NHC–P bonds are similar for complexes 1–5.The Wiberg bond indices (WBI)[32] of 1.45–1.56
(Tables , S4–S6) indicate the presence of a C=P
double bond in compounds 1–4 and
a partial double bond in 5 (C=P, 1.25) and 6 (P=P, 1.24), respectively. The CcAAC →
P σ donation arising from the overlap of sp2–sp3 hybrid orbitals is more polarized toward the ligand with
an occupancy of ∼1.97 e and the π back donation from
P → CcAAC resulting from the overlap of p-orbitals,
which is more polarized toward P with an occupancy of ∼1.86e
(Tables , S4–S6), indicating a donor–acceptor
interaction. The WBI values of 0.42–0.69 for the Al–C/PL bond suggest a single bond character. In compounds 3, 5, and 6, the Al–C/PL bond
is polarized toward the ligand, indicating a possible L → Al
σ donation. The NBO analysis did not provide information on
the occupancy and polarization of the Al–CcAAC bond
of compounds 1, 2, and 4.
Table 1
NBO Results of the Compounds cAAC–P–Al–cAACMe (1), cAAC–P–Al–NHCMe (2), and cAAC–P–Al–PMe3 (3) at the BP86-D3(BJ)/def2-TZVPP Level of Theorya
bond
ON
polarization and
hybridization (%)
WBI
compound 1
C25–P24
1.97
P: 34.2
C: 65.8
1.47
s(19.4), p(79.8)
s(39.6), p(60.1)
P24–Al56
1.81
P: 78.5
Al: 21.5
0.79
s(17.5),
p(81.7)
s(16.5), p(82.91)
Al56–C3
0.69
compound 2
P10–C11
1.86
P: 61.1
C: 38.8
1.46
s(0.1), p(99.4)
s(0.0), p(99.8)
1.97
P: 34.2
C:
65.8
s(20.0), p(79.2)
s(39.7), p(60.0)
P10–Al44
1.86
P: 79.2%
Al: 21.8%
0.80
s(18.3), p(80.9)
s(11.7), p(87.3)
Al44–C2
0.53
compound 3
P28–C3
1.97
P: 34.7
C:65.3%
1.45
s(20.8), p(78.5)
s(39.6), p(60.1)
1.86
P: 61.8
C: 38.1
s(0.0), p(99.5)
s(0.1), p(99.8)
P28–Al42
1.90
P: 80.8
Al: 19.2
0.81
s(17.3), p(81.8)
s(9.32), p(90.0)
Al42–P29
1.91
P: 88.9
Al: 11.7
0.42
s(31.2), p(68.7)
S(1.1), p(94.6)
Occupation number
(ON), polarization,
and hybridization of CcAAC–P, P–Al, and Al–CL
bonds.
Occupation number
(ON), polarization,
and hybridization of CcAAC–P, P–Al, and Al–CL
bonds.The bond order of
0.79–0.93 for the P–Al bond suggests
a single bond character, which is polarized toward P since it is comparatively
more polar. As expected, 4 shows two different bonding
occupancies for the P–Al bond, which are polarized toward the
P atom. The highest occupied molecular orbital (HOMO) represents the
lone pair of P and Al atoms in all compounds (Figure ). In 1, we could observe a
slight interaction between the lone pair of Al atoms and cAAC with
a significant coefficient residing on the Al center (Figure ). The HOMO-1 represents the
CcAAC=P π bond, which is slightly extended
toward Al atoms, and HOMO-2 illustrates the interaction of a lone
pair on the P atom with Al (Figures S1–S6). The negative energy of the lowest unoccupied molecular orbitals
(LUMOs) is attributed to the highly reactive nature of the ligands.
The HOMO–LUMO energy gap (ΔH–L) demonstrates
the electronic stability. A higher ΔH–L indicates
less reactivity and a lower ΔH–L indicates
higher reactivity. The ΔH–L and thus the electronic
stability of compounds vary in the following order: 2 (1.45 eV) < 3 (1.47 eV) < 1 (1.61
eV) < 5 (1.96 eV) < 6 (2.03 eV) < 4 (2.89 eV), respectively.
Figure 2
HOMO and LUMO of cAAC–P–Al–cAACMe (1), cAAC–P–Al–NHCMe (2), cAAC–P–Al–PMe3 (3), cAAC–P–Al–(NPr2)2 (4), NHCMe–P–Al–NHCMe (5), and PMe3–P–Al–PMe3 (6) at the BP86-D3(BJ)/def2-TZVPP level of theory.
HOMO and LUMO of cAAC–P–Al–cAACMe (1), cAAC–P–Al–NHCMe (2), cAAC–P–Al–PMe3 (3), cAAC–P–Al–(NPr2)2 (4), NHCMe–P–Al–NHCMe (5), and PMe3–P–Al–PMe3 (6) at the BP86-D3(BJ)/def2-TZVPP level of theory.We investigated the topological properties of electron density
(ρ(r)) and its Laplacian (∇ρ(r)) using quantum theory of atoms in molecules (QTAIM) analysis.[39] The wave functions for the QTAIM studies were
computed at the BP86/def2-TZVPP level of theory on the optimized geometries
of compounds 1–6. The electron densities
(ρ(r)) between 0.1 and 0.2,[39] as well as positive Laplacian (∇2ρ(r)) at the bond critical point (BCP) of the L–P and
Al–L′ bonds in compounds 1–6, indicate closed-shell interactions (Tables S7–S12). The ellipticity, ε, measures
the π character of the bond. When the bond is cylindrically
symmetrical, as in the case of single and triple bonds, ε is
close to zero because of the cylindrical contours of electron density.
For a double bond, it is greater than zero due to the asymmetric distribution
of electron density, perpendicular to the bond path.[39] The ε values of 0.157–0.308 for the CcAAC–P bonds in compounds 1–4 and
0.057–0.068 (Tables S7–S12) for CcAAC −P and P–P bonds in compounds 5 and 6 correlate well with the WBI values from
NBO analysis and indicate a double bond character in 1–4 and a partial double character in 5 and 6. However, unlike the NBO analysis, the ε
values of Al–L′ (0.163–0.312) also reveal a double
bond character. The ε values for the P–Al bond, on the
other hand, support the single bond character in almost all complexes
except compounds 4 and 5 (Tables S7–S12).We have employed energy decomposition
analysis coupled with natural
orbitals for chemical valence (EDA-NOCV)[16] to study the nature of the bonds of compounds 1–6 [L, L′ = cAACMe (1), L =
cAAC, L′ = NHCMe (2), L = cAAC, L′
= PMe3 (3), L = cAAC, L′ = (NPr2)2 (4), L,
L′ = NHCMe (5), L, L′ = PMe3 (6)]. The EDA-NOCV method is more appropriate
in explaining the nature of the bond, as one of the major strengths
of the method is its ability to provide the best bonding model to
represent the bonding situation in the equilibrium geometry. The details
of the method are given in the Supporting Information (SI). The bonding model with the lowest ΔEorb is considered the best bonding representation since
it involves the least change in the electronic charge of the fragments
to create the electronic structure of the molecule.[40]To arrive at the best bonding description, we considered
four different
bonding possibilities (Scheme ) for L–PAl–L′ by changing the charge
and multiplicity of the interacting fragments, [(L L′)] and
[PAl], which are (a) [L L′] and [PAl] in a neutral electronic
singlet state forming a dative bond; (b) [L L′] and [PAl] in
a neutral electronic quintet state forming four electron-sharing/covalent
bonds; (c) doubly charged [L L′]2+ and [PAl]2– fragments in a triplet state forming a σ electron-sharing
bond and π dative bonds; and (d) singly charged [L L′]+ and [PAl]− fragments in a doublet state
forming both electron-sharing and dative bonds (see SI for the details
of fragmentation schemes). The EDA-NOCV results consolidated in Table S14 (see SI) indicate that the best bonding
description in compounds 1, 2, 5, and 6 comes from the interactions of neutral [L L′]
and [PAl] fragments in the singlet state forming dative bonds (Scheme a) since it gives
the lowest ΔEorb. However, it is
worth mentioning that the bonding in compound 2 can also
be described in terms of a mixture of dative and electron-sharing
bonds, as shown in Scheme d, due to the low ΔEorb difference
between the two bonding possibilities. Similarly, in compound 3, the bonding can be described both in terms of a mixture
of dative and electron-sharing (Scheme d) and exclusively dative bonds (Scheme a) since the orbital energies of possibility
(a) match closely with that of possibility (d). On the other hand,
for compound 4, the bonding can be best discussed as
electron-sharing (Scheme b). We have categorized and discussed the compounds showing
similar bonding situations in Tables , S15, and S16 for clarity.
Scheme 2
Possible Bonding Scenarios of Compounds 1–6 (Also See Table S14)
(a) [L L′] and [PAl] in
neutral electronic singlet states forming a dative bond, (b) [L L′]
and [PAl] in neutral electronic quintet states forming four electron-sharing/covalent
bonds, (c) doubly charged [L L′]2+ and [PAl]2– fragments in triplet states forming σ electron-sharing
and π dative bonds, and (d) singly charged [L L′]+ and [PAl]− fragments in doublet states
forming both electron-sharing and dative bonds.
Table 2
EDA-NOCV Results at the BP86[40] -D3(BJ)/TZ2P Level of L–PAl–L′
Bonds of L–PAl–L′ [L = L′ = cAACMe (1); L = cAACMe, L′ = NHCMe (2); L = L′ = NHCMe (5); L = L′ = PMe3 (6)] using [L L′]
and [P–Al] in the Electronic Singlet (S) States as Interacting
Fragmentsa
energy
Interaction
[(cAAC)2] (S) + [(P–Al)] (S) (1)
[(cAAC) (NHC)] (S) + [(P–Al)] (S) (2)
[(NHC)2] (S) + [(P–Al)] (S) (5)
[(PMe3)2] (S) + [(P–Al)] (S) (6)
ΔEint
–170.0
–159.7
–138.0
–116.1
ΔEPauli
521.1
486.8
438.8
340.4
ΔEdispb
–19.1 (2.8%)
–17.4
(2.7%)
–14.1 (2.5%)
–16.4
(3.6%)
ΔEelstatb
–344.1
(49.8%)
–321.3 (49.7%)
–287.9
(50.3%)
–211.2 (46.3%)
ΔEorbb
–327.8 (47.4%)
–307.9
(47.6%)
–270.8 (47.3%)
–228.9
(50.1%)
ΔEorb(1)c
L → P–Al ←
L′ σ donation
–166.7 (50.9%)
–167.9 (54.5%)
–130.7 (48.3%)
–142.9 (62.4%)
ΔEorb(2)c
L → P–Al ← L′ σ donation
–28.4 (8.7%)
–51.3 (16.7%)
–65.8 (24.3%)
–38.6 (16.9%)
ΔEorb(3)c
L ← P–Al →
L′ π back donation
–54.9 (16.7%)
–46.7 (15.2%)
–37.4 (13.8%)
–17.8 (7.8%)
ΔEorb(4)c
L ← P–Al → L′ π back donation
–51.9 (15.8%)
–17.2 (5.6%)
–17.8 (6.6%)
–13.9 (6.1%)
ΔEorb(rest)c
–25.9 (7.8%)
–24.7 (8.0%)
18.7 (6.9%)
15.6 (6.8%)
ΔEprep
28.3
28.9
24.2
40.2
–De
–141.7
–130.8
–113.8
–75.9
Energies are in kcal/mol.
Values in the parentheses show the
contribution to the total attractive interaction ΔEelstat + ΔEorb + ΔEdisp.
Values in parentheses show the contribution
to the total orbital interaction ΔEorb.
Possible Bonding Scenarios of Compounds 1–6 (Also See Table S14)
(a) [L L′] and [PAl] in
neutral electronic singlet states forming a dative bond, (b) [L L′]
and [PAl] in neutral electronic quintet states forming four electron-sharing/covalent
bonds, (c) doubly charged [L L′]2+ and [PAl]2– fragments in triplet states forming σ electron-sharing
and π dative bonds, and (d) singly charged [L L′]+ and [PAl]− fragments in doublet states
forming both electron-sharing and dative bonds.Energies are in kcal/mol.Values in the parentheses show the
contribution to the total attractive interaction ΔEelstat + ΔEorb + ΔEdisp.Values in parentheses show the contribution
to the total orbital interaction ΔEorb.The dissociation energy
(−De) and the interaction
energy (ΔEint) demonstrate the strength
of the bond. Tables , S15, and S16 show that the L–PAl–L′
bonds are relatively stronger in compound 4 (L = cAAC,
L′ = (NPr2)2) and weaker in compound 6 (L = L′ = PMe3). The difference between interaction energy (ΔEint) and dissociation energy (−De) is termed preparative energy (ΔEprep). The preparative energies originate from the distortions
in the geometry of the fragments from their equilibrium structure
to the geometry and electronic states in the compound. It often takes
a significant amount of energy to excite the electrons of the fragments
to the suitable excited energy states to make them ready for the formation
of bonds. Therefore, the compounds with high ΔEprep values indicate that the relaxed fragments are very
different from the fragments in the molecules and hence only poorly
reflect the electronic situation in the total molecule. According
to the results, compound 3 (Table S15) show relatively higher preparative energy followed by 4 (Table S16) and 6 (Table ). Compounds 1–3 and 5 possess slightly
higher electrostatic (Coulombic) contributions, while 4 and 6 show higher orbital (covalent) contributions
toward the total attractive interactions (ΔEint) (Tables , S15, and S16). The contributions
due to attractive dispersion interactions (ΔEdisp) are quite low (2.2–3.6%).The breaking
down of ΔEorb into
pairwise contributions brings more insight into the orbital
interactions involved between the fragments, leading to the formation
of the particular bonds in the present study. The calculations manifest
four relevant orbital contributions, ΔEorb(1) – ΔEorb(4) for
compounds 1, 2, 5, and 6, which show similar bonding situations. The type of interactions
and the direction of charge flow can be well understood from the deformation
densities Δρ and associated
fragment orbitals (Figures S17, S7, S9–10). The first two pairwise contributions ΔEorb(1) and ΔEorb(2) represent
strong out-of-phase (+ −) σ-donation from HOMO of the
ligands into the LUMO of the [PAl] fragment and rather weak in-phase
(+ +) σ-donation from HOMO – 1 of the ligands into the
LUMO + 1 of the [PAl] fragment, respectively, in compounds 1, 2, 6. However, in compound 5, the in-phase (+ +) σ-donation (ΔEorb(1)) is stronger than the out-of-phase (+ −) σ-donation
(ΔEorb(2)). The other two pairwise
contributions ΔEorb(3) and ΔEorb(4) denote weak π back donations from
the HOMO-1 and HOMO of the [PAl] fragment into the vacant orbitals
LUMO–LUMO + 4 of the ligands in compounds 1, 2, 5, and 6. The L → P–Al
← L′ σ donations together contribute 59.6–79.3%,
while L ← P–Al → L′ π back donations
together contribute 13.9–32.5% of the total orbital interactions.
Compound 1 shows relatively stronger π back donations
followed by 2, 5, and the least in compound 6. The strength of the π back donations falls in line
with the π-accepting capacity of the ligands. However, the strength
of the σ donations follows the reverse order.The major
contribution to the ΔEorb in compound 3 (Table S16) is from electron-sharing
σ interaction (61.7%) occurring
between the singly occupied molecular orbital (SOMO) of [(cAAC) PMe3]+ and [PAl]− (ΔEorb(1)). The ΔEorb(2) represents in-phase σ donation (11.9%) from the [(cAAC)(PMe3)]+ fragment to the LUMO of the [PAl]® fragment
(Figure ). The remaining
two contributions ΔEorb(3-4) indicate weak π back donations from HOMO – 1 and HOMO
of the [PAl]− fragment to the LUMO and LUMO + 3
of the [(cAAC)(PMe3)]+ fragment (Figure ), which together contributes
18.7%. The EDA-NOCV results of compound 4 reveal five
important contributions to the ΔEorb. The ΔEorb(1) is an out-phase
(+ −) σ donation from HOMO-1 of ligands [(cAAC) (NPr2)2] into the SOMO
– 1 of the [PAl] fragment with a minor contribution from SOMO
– 2 of ligands (Figure S8). However,
the second orbital term, ΔEorb(2), arises due to the electron-sharing σ interaction between
the cAAC ligand and P of the [PAl] moiety. The other two orbital terms
(ΔEorb(3-4)) represent π
electron-sharing contributions between SOMO-1, SOMO and SOMO, SOMO-3
of the interacting fragments, respectively. The last contribution
is due to the out-phase dative σ donation from HOMO of the ligand
fragments to the LUMO of the [PAl] fragment. It can be expressed as
cAAC=P–Al(NPr2)2. The σ interactions together contribute ∼64%
and π interactions together contribute 28% of the total orbital
interactions. The nature of P–Al bonds of 1–6 has been
also studied by EDA-NOCV analyses, which is schematically shown in Scheme (see SI for detailed analyses).
Figure 3
Shape of the deformation
densities Δρ(1)–(4) that correspond
to ΔEorb(1)–(4), and the
associated MOs of cAAC–PAl–PMe3 (3) and the fragments orbitals of [(cAAC) (PMe3)]+ and [P–Al]® in the doublet state
(D) at the BP86-D3(BJ)/TZ2P level. Isosurface values are 0.003 au
for Δρ(1)–(3) and 0.001 for Δρ(4). The eigenvalues |νn| give the size of
the charge migration in e. The direction of the charge flow of the
deformation densities is red → blue.
Scheme 3
Most Feasible Lewis Dot Structures of Compounds 1–4 and 5 and 6
Shape of the deformation
densities Δρ(1)–(4) that correspond
to ΔEorb(1)–(4), and the
associated MOs of cAAC–PAl–PMe3 (3) and the fragments orbitals of [(cAAC) (PMe3)]+ and [P–Al]® in the doublet state
(D) at the BP86-D3(BJ)/TZ2P level. Isosurface values are 0.003 au
for Δρ(1)–(3) and 0.001 for Δρ(4). The eigenvalues |νn| give the size of
the charge migration in e. The direction of the charge flow of the
deformation densities is red → blue.
Conclusions
We have theoretically studied the bonding
and stability of monomeric
AlP species by EDA-NOCV analysis, which suggests that these exotic
species (1–4 and 5 and 6) are possible to stabilize and isolate in the laboratory.
Ligands play an important role in their stabilizations. Both σ-donating
and π-accepting properties of L and L′ are in the following
order: Me3P < NPr2
Authors: Juan Andrés; Paul W Ayers; Roberto A Boto; Ramon Carbó-Dorca; Henry Chermette; Jerzy Cioslowski; Julia Contreras-García; David L Cooper; Gernot Frenking; Carlo Gatti; Farnaz Heidar-Zadeh; Laurent Joubert; Ángel Martín Pendás; Eduard Matito; István Mayer; Alston J Misquitta; Yirong Mo; Julien Pilmé; Paul L A Popelier; Martin Rahm; Eloy Ramos-Cordoba; Pedro Salvador; W H Eugen Schwarz; Shant Shahbazian; Bernard Silvi; Miquel Solà; Krzysztof Szalewicz; Vincent Tognetti; Frank Weinhold; Émilie-Laure Zins Journal: J Comput Chem Date: 2019-06-28 Impact factor: 3.376
Authors: Wenlong Yang; Kelsie E Krantz; Lucas A Freeman; Diane A Dickie; Andrew Molino; Gernot Frenking; Sudip Pan; David J D Wilson; Robert J Gilliard Journal: Angew Chem Int Ed Engl Date: 2020-02-03 Impact factor: 15.336