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

using model chemistry: mPW1PW91/STO-3G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2A2
Energy calculated at mPW1PW91/STO-3G
 hartrees
Energy at 0K-206.860383
Energy at 298.15K-206.864430
HF Energy-206.860383
Nuclear repulsion energy148.124108
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 mPW1PW91/STO-3G
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 3565 3133 11.34      
2 A1 3501 3077 0.99      
3 A1 1710 1503 3.64      
4 A1 1519 1335 5.43      
5 A1 1229 1080 0.80      
6 A1 1132 995 10.80      
7 A1 1109 975 0.06      
8 A1 900 791 5.56      
9 A2 973 855 0.00      
10 A2 821 722 0.00      
11 A2 519 456 0.00      
12 B1 826 726 8.55      
13 B1 726 638 23.43      
14 B1 538 473 12.28      
15 B2 3533 3105 22.77      
16 B2 3495 3072 4.71      
17 B2 1422 1250 52.76      
18 B2 1331 1170 1.56      
19 B2 1020 897 21.83      
20 B2 968 851 0.02      
21 B2 420 369 0.19      

Unscaled Zero Point Vibrational Energy (zpe) 15629.3 cm-1
Scaled (by 0.8789) Zero Point Vibrational Energy (zpe) 13736.6 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 mPW1PW91/STO-3G
ABC
0.32466 0.28029 0.15042

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/STO-3G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 1.298
C2 0.000 1.082 0.422
C3 0.000 -1.082 0.422
C4 0.000 0.680 -1.003
C5 0.000 -0.680 -1.003
H6 0.000 2.114 0.800
H7 0.000 -2.114 0.800
H8 0.000 1.363 -1.855
H9 0.000 -1.363 -1.855

Atom - Atom Distances (Å)
  N1 C2 C3 C4 C5 H6 H7 H8 H9
N11.39181.39182.39872.39872.17212.17213.43453.4345
C21.39182.16351.48042.26541.09983.21852.29403.3407
C31.39182.16352.26541.48043.21851.09983.34072.2940
C42.39871.48042.26541.35912.30443.32531.09222.2131
C52.39872.26541.48041.35913.32532.30442.21311.0922
H62.17211.09983.21852.30443.32534.22882.75944.3752
H72.17213.21851.09983.32532.30444.22884.37522.7594
H83.43452.29403.34071.09222.21312.75944.37522.7261
H93.43453.34072.29402.21311.09224.37522.75942.7261

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 113.227 N1 C2 H6 120.879
N1 C3 C5 113.227 N1 C3 H7 120.879
C2 N1 C3 102.015 C2 C4 C5 105.765
C2 C4 H8 125.496 C3 C5 C4 105.765
C3 C5 H9 125.496 C4 C2 H6 125.894
C4 C5 H9 128.738 C5 C3 H7 125.894
C5 C4 H8 128.738
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.247      
2 C 0.031      
3 C 0.031      
4 C -0.101      
5 C -0.101      
6 H 0.098      
7 H 0.098      
8 H 0.094      
9 H 0.094      


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 -1.900 1.900
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.862 0.000 0.000
y 0.000 -22.526 0.000
z 0.000 0.000 -29.647
Traceless
 xyz
x -1.775 0.000 0.000
y 0.000 6.228 0.000
z 0.000 0.000 -4.453
Polar
3z2-r2-8.906
x2-y2-5.336
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.002 0.000 0.000
y 0.000 5.426 0.000
z 0.000 0.000 3.991


<r2> (average value of r2) Å2
<r2> 83.055
(<r2>)1/2 9.113