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

using model chemistry: M06-2X/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2A2
Energy calculated at M06-2X/6-31G*
 hartrees
Energy at 0K-209.414279
Energy at 298.15K-209.418852
HF Energy-209.414279
Nuclear repulsion energy151.190725
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 M06-2X/6-31G*
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 3298 3123 0.43      
2 A1 3253 3081 1.72      
3 A1 1614 1529 0.52      
4 A1 1495 1415 26.59      
5 A1 1229 1164 2.81      
6 A1 1114 1055 35.92      
7 A1 1065 1009 0.45      
8 A1 885 838 10.38      
9 A2 928 879 0.00      
10 A2 842 798 0.00      
11 A2 502 475 0.00      
12 B1 853 808 2.28      
13 B1 725 686 55.43      
14 B1 547 518 23.60      
15 B2 3278 3104 3.62      
16 B2 3249 3076 19.24      
17 B2 1386 1312 52.97      
18 B2 1310 1240 0.70      
19 B2 1092 1034 23.52      
20 B2 968 916 0.19      
21 B2 707 670 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 15168.9 cm-1
Scaled (by 0.947) Zero Point Vibrational Energy (zpe) 14364.9 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 M06-2X/6-31G*
ABC
0.33517 0.29442 0.15674

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 1.246
C2 0.000 1.059 0.424
C3 0.000 -1.059 0.424
C4 0.000 0.679 -0.983
C5 0.000 -0.679 -0.983
H6 0.000 2.069 0.818
H7 0.000 -2.069 0.818
H8 0.000 1.355 -1.827
H9 0.000 -1.355 -1.827

Atom - Atom Distances (Å)
  N1 C2 C3 C4 C5 H6 H7 H8 H9
N11.34021.34022.33012.33012.11262.11263.35843.3584
C21.34022.11721.45722.23601.08453.15222.27053.3002
C31.34022.11722.23601.45723.15221.08453.30022.2705
C42.33011.45722.23601.35862.27493.28581.08112.2022
C52.33012.23601.45721.35863.28582.27492.20221.0811
H62.11261.08453.15222.27493.28584.13772.74014.3265
H72.11263.15221.08453.28582.27494.13774.32652.7401
H83.35842.27053.30021.08112.20222.74014.32652.7093
H93.35843.30022.27052.20221.08114.32652.74012.7093

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 112.737 N1 C2 H6 120.858
N1 C3 C5 112.737 N1 C3 H7 120.858
C2 N1 C3 104.349 C2 C4 C5 105.088
C2 C4 H8 126.250 C3 C5 C4 105.088
C3 C5 H9 126.250 C4 C2 H6 126.405
C4 C5 H9 128.662 C5 C3 H7 126.405
C5 C4 H8 128.662
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.446      
2 C 0.053      
3 C 0.053      
4 C -0.197      
5 C -0.197      
6 H 0.186      
7 H 0.186      
8 H 0.181      
9 H 0.181      


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 -2.038 2.038
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.813 0.000 0.000
y 0.000 -22.837 0.000
z 0.000 0.000 -31.378
Traceless
 xyz
x -3.706 0.000 0.000
y 0.000 8.259 0.000
z 0.000 0.000 -4.553
Polar
3z2-r2-9.106
x2-y2-7.976
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.635 0.000 0.000
y 0.000 8.128 0.000
z 0.000 0.000 6.702


<r2> (average value of r2) Å2
<r2> 81.551
(<r2>)1/2 9.031