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All results from a given calculation for C4H4N (pyrrolide radical)

using model chemistry: PBEPBE/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2A2
Energy calculated at PBEPBE/6-31G(2df,p)
 hartrees
Energy at 0K-209.259107
Energy at 298.15K-209.263503
HF Energy-209.259107
Nuclear repulsion energy150.125825
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at PBEPBE/6-31G(2df,p)
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1 3194 3161 2.55      
2 A1 3132 3099 2.26      
3 A1 1520 1504 0.31      
4 A1 1399 1384 21.74      
5 A1 1176 1164 1.64      
6 A1 1066 1055 36.25      
7 A1 1026 1015 0.18      
8 A1 847 838 12.39      
9 A2 861 852 0.00      
10 A2 783 775 0.00      
11 A2 456 451 0.00      
12 B1 808 800 0.70      
13 B1 692 685 43.18      
14 B1 520 515 18.12      
15 B2 3172 3140 5.20      
16 B2 3128 3096 21.47      
17 B2 1312 1299 42.32      
18 B2 1245 1232 0.10      
19 B2 1060 1049 7.12      
20 B2 911 902 0.06      
21 B2 659 652 1.75      

Unscaled Zero Point Vibrational Energy (zpe) 14482.4 cm-1
Scaled (by 0.9897) Zero Point Vibrational Energy (zpe) 14333.2 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at PBEPBE/6-31G(2df,p)
ABC
0.33067 0.29031 0.15459

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 1.258
C2 0.000 1.065 0.424
C3 0.000 -1.065 0.424
C4 0.000 0.685 -0.989
C5 0.000 -0.685 -0.989
H6 0.000 2.084 0.820
H7 0.000 -2.084 0.820
H8 0.000 1.363 -1.840
H9 0.000 -1.363 -1.840

Atom - Atom Distances (Å)
  N1 C2 C3 C4 C5 H6 H7 H8 H9
N11.35291.35292.34902.34902.12992.12993.38473.3847
C21.35292.13041.46322.24901.09353.17442.28353.3199
C31.35292.13042.24901.46323.17441.09353.31992.2835
C42.34901.46322.24901.36922.28743.30761.08842.2174
C52.34902.24901.46321.36923.30762.28742.21741.0884
H62.12991.09353.17442.28743.30764.16892.75634.3544
H72.12993.17441.09353.30762.28744.16894.35442.7563
H83.38472.28353.31991.08842.21742.75634.35442.7258
H93.38473.31992.28352.21741.08844.35442.75632.7258

picture of pyrrolide radical state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 C4 112.987 N1 C2 H6 120.696
N1 C3 C5 112.987 N1 C3 H7 120.696
C2 N1 C3 103.874 C2 C4 C5 105.076
C2 C4 H8 126.370 C3 C5 C4 105.076
C3 C5 H9 126.370 C4 C2 H6 126.317
C4 C5 H9 128.553 C5 C3 H7 126.317
C5 C4 H8 128.553
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.231      
2 C -0.001      
3 C -0.001      
4 C -0.129      
5 C -0.129      
6 H 0.127      
7 H 0.127      
8 H 0.118      
9 H 0.118      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 -1.908 1.908
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.359 0.000 0.000
y 0.000 -23.214 0.000
z 0.000 0.000 -30.894
Traceless
 xyz
x -3.305 0.000 0.000
y 0.000 7.413 0.000
z 0.000 0.000 -4.108
Polar
3z2-r2-8.216
x2-y2-7.145
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.250 0.000 0.000
y 0.000 8.448 0.000
z 0.000 0.000 7.259


<r2> (average value of r2) Å2
<r2> 82.318
(<r2>)1/2 9.073