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

using model chemistry: PBE1PBE/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2A2
Energy calculated at PBE1PBE/6-311G**
 hartrees
Energy at 0K-209.311641
Energy at 298.15K-209.316214
HF Energy-209.311641
Nuclear repulsion energy151.373601
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 PBE1PBE/6-311G**
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 3272 3139 1.23      
2 A1 3221 3090 1.32      
3 A1 1584 1520 0.66      
4 A1 1465 1405 25.87      
5 A1 1219 1170 2.77      
6 A1 1102 1057 41.74      
7 A1 1056 1013 0.18      
8 A1 883 847 11.32      
9 A2 921 884 0.00      
10 A2 832 798 0.00      
11 A2 495 475 0.00      
12 B1 847 812 0.74      
13 B1 720 691 68.60      
14 B1 544 522 23.19      
15 B2 3251 3119 4.74      
16 B2 3216 3086 17.79      
17 B2 1365 1309 54.21      
18 B2 1291 1239 0.05      
19 B2 1098 1053 5.20      
20 B2 947 909 0.05      
21 B2 689 661 5.71      

Unscaled Zero Point Vibrational Energy (zpe) 15007.7 cm-1
Scaled (by 0.9594) Zero Point Vibrational Energy (zpe) 14398.4 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 PBE1PBE/6-311G**
ABC
0.33586 0.29531 0.15714

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-311G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 1.244
C2 0.000 1.058 0.423
C3 0.000 -1.058 0.423
C4 0.000 0.678 -0.981
C5 0.000 -0.678 -0.981
H6 0.000 2.068 0.819
H7 0.000 -2.068 0.819
H8 0.000 1.351 -1.827
H9 0.000 -1.351 -1.827

Atom - Atom Distances (Å)
  N1 C2 C3 C4 C5 H6 H7 H8 H9
N11.33861.33862.32602.32602.11122.11123.35493.3549
C21.33862.11551.45482.23301.08473.15052.26943.2963
C31.33862.11552.23301.45483.15051.08473.29632.2694
C42.32601.45482.23301.35672.27363.28331.08072.1985
C52.32602.23301.45481.35673.28332.27362.19851.0807
H62.11121.08473.15052.27363.28334.13582.74094.3228
H72.11123.15051.08473.28332.27364.13584.32282.7409
H83.35492.26943.29631.08072.19852.74094.32282.7018
H93.35493.29632.26942.19851.08074.32282.74092.7018

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 112.681 N1 C2 H6 120.842
N1 C3 C5 112.681 N1 C3 H7 120.842
C2 N1 C3 104.403 C2 C4 C5 105.117
C2 C4 H8 126.398 C3 C5 C4 105.117
C3 C5 H9 126.398 C4 C2 H6 126.477
C4 C5 H9 128.485 C5 C3 H7 126.477
C5 C4 H8 128.485
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.317      
2 C 0.081      
3 C 0.081      
4 C -0.162      
5 C -0.162      
6 H 0.124      
7 H 0.124      
8 H 0.115      
9 H 0.115      


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 -2.022 2.022
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.133 0.000 0.000
y 0.000 -23.004 0.000
z 0.000 0.000 -31.493
Traceless
 xyz
x -3.884 0.000 0.000
y 0.000 8.309 0.000
z 0.000 0.000 -4.425
Polar
3z2-r2-8.850
x2-y2-8.129
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.380 0.000 0.000
y 0.000 8.435 0.000
z 0.000 0.000 7.078


<r2> (average value of r2) Å2
<r2> 81.524
(<r2>)1/2 9.029