Table 4 EDA-NOCV results for doublet [M(N2)8]+ (M = Ca, Sr, Ba) complexes at the M06-2X/TZ2P-ZORA//M06-2X-D3/def2-TZVPP level

From: Octa-coordinated alkaline earth metal–dinitrogen complexes M(N2)8 (M=Ca, Sr, Ba)

Energy

Orbital interactions

Ca+ (D) + (N2)8 (S) (D4d)

Sr+ (D) + (N2)8 (S) (D4d)

Ba+ (D) + (N2)8 (S) (D4h)

Eint

 

−106.7

−100.3

−74.3

Ehybrid

 

27.0

27.0

17.2

EPauli

 

38.3

38.6

48.6

Eelstata

 

−48.3 (28.1%)

−45.7 (27.5%)

−49.3 (35.2%)

Eorba

 

−123.7 (71.9%)

−120.2 (72.5%)

−90.9 (64.8%)

Eorb(1)b

[M(d)]+→(N2)8 π backdonation

−49.9 (40.3%)

−55.7 (46.3%)

−36.0 (39.6%)

Eorb(2)b

[M(d)]+←(N2)8 σ donation

−17.4 (14.1%)

−16.2 (13.5%)

−14.6 (16.1%)

Eorb(3)b

[M(d)]+←(N2)8 σ donation

−13.6 (11.0%)

−11.2 (9.3%)

−6.2 (6.8%)

Eorb(4)b

[M(s)]+←(N2)8 σ donation

−6.4 (5.2%)

−6.0 (5.0%)

−4.4 (4.8%)

Eorb(5)b

[M(p)]+←(N2)8 σ donation

−7.0 (5.7%)

−5.4 (4.5%)

−4.4 (4.8%)

Eorb(6)b

[M(p)]+←(N2)8 σ donation

−3.0 (2.4%)

−3.5 (2.9%)

−2.2 (2.4%)

Eorb(7)b

(N2)8 polarization

–c–

–c–

−2.5 (2.8%)

Eorb(rest)

 

−26.4 (21.3%)

−22.2 (18.5%)

−20.6 (22.7%)

  1. The interacting fragments are the metal cation M+ in the doublet excited state with a (n)s0(n−1)d1 valence electronic configuration and (N2)8 in the singlet state. Energy values are given in kcal mol−1
  2. aThe values in parentheses give the percentage contribution to the total attractive interactions ΔEelstat+ ΔEorb
  3. bThe values in parentheses give the percentage contribution to the total orbital interactions ΔEorb
  4. cIn D4d field, The (N2)8 polarization does not correlate with a specific orbital symmetry; it is part of ∆Eorb(3), which comprises mainly [M(d)]+←(N2)8 σ donation