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

using model chemistry: PBEPBE/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 PBEPBE/6-31G**
 hartrees
Energy at 0K-209.252150
Energy at 298.15K-209.256535
HF Energy-209.252150
Nuclear repulsion energy149.932065
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**
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 3202 3158 2.43      
2 A1 3142 3099 3.41      
3 A1 1533 1512 0.33      
4 A1 1412 1393 22.24      
5 A1 1177 1161 2.36      
6 A1 1071 1056 36.20      
7 A1 1029 1015 0.22      
8 A1 849 837 10.99      
9 A2 863 851 0.00      
10 A2 778 767 0.00      
11 A2 454 448 0.00      
12 B1 805 794 0.60      
13 B1 687 677 47.15      
14 B1 520 513 20.48      
15 B2 3182 3139 5.42      
16 B2 3139 3096 22.77      
17 B2 1323 1305 42.49      
18 B2 1259 1242 0.24      
19 B2 1065 1051 8.80      
20 B2 916 903 0.05      
21 B2 658 649 1.53      

Unscaled Zero Point Vibrational Energy (zpe) 14532.9 cm-1
Scaled (by 0.9863) Zero Point Vibrational Energy (zpe) 14333.8 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**
ABC
0.33000 0.28941 0.15419

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 1.261
C2 0.000 1.066 0.424
C3 0.000 -1.066 0.424
C4 0.000 0.686 -0.990
C5 0.000 -0.686 -0.990
H6 0.000 2.086 0.821
H7 0.000 -2.086 0.821
H8 0.000 1.364 -1.842
H9 0.000 -1.364 -1.842

Atom - Atom Distances (Å)
  N1 C2 C3 C4 C5 H6 H7 H8 H9
N11.35521.35522.35322.35322.13222.13223.39023.3902
C21.35522.13201.46452.25141.09433.17702.28643.3234
C31.35522.13202.25141.46453.17701.09433.32342.2864
C42.35321.46452.25141.37152.28883.31081.08962.2203
C52.35322.25141.46451.37153.31082.28882.22031.0896
H62.13221.09433.17702.28883.31084.17232.75904.3585
H72.13223.17701.09433.31082.28884.17234.35852.7590
H83.39022.28643.32341.08962.22032.75904.35852.7286
H93.39023.32342.28642.22031.08964.35852.75902.7286

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 113.080 N1 C2 H6 120.654
N1 C3 C5 113.080 N1 C3 H7 120.654
C2 N1 C3 103.744 C2 C4 C5 105.048
C2 C4 H8 126.434 C3 C5 C4 105.048
C3 C5 H9 126.434 C4 C2 H6 126.266
C4 C5 H9 128.518 C5 C3 H7 126.266
C5 C4 H8 128.518
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.401      
2 C 0.087      
3 C 0.087      
4 C -0.115      
5 C -0.115      
6 H 0.119      
7 H 0.119      
8 H 0.110      
9 H 0.110      


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 -1.974 1.974
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.555 0.000 0.000
y 0.000 -23.157 0.000
z 0.000 0.000 -31.073
Traceless
 xyz
x -3.441 0.000 0.000
y 0.000 7.657 0.000
z 0.000 0.000 -4.217
Polar
3z2-r2-8.433
x2-y2-7.398
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.730 0.000 0.000
y 0.000 8.350 0.000
z 0.000 0.000 7.099


<r2> (average value of r2) Å2
<r2> 82.547
(<r2>)1/2 9.086