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

using model chemistry: mPW1PW91/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2A2
Energy calculated at mPW1PW91/6-31G**
 hartrees
Energy at 0K-209.466749
Energy at 298.15K-209.471313
HF Energy-209.466749
Nuclear repulsion energy151.215119
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 mPW1PW91/6-31G**
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 3299 3139 1.35      
2 A1 3247 3089 2.76      
3 A1 1600 1523 0.35      
4 A1 1479 1408 25.21      
5 A1 1223 1164 2.69      
6 A1 1111 1058 37.71      
7 A1 1064 1013 0.03      
8 A1 884 841 11.56      
9 A2 919 874 0.00      
10 A2 833 792 0.00      
11 A2 497 473 0.00      
12 B1 844 803 1.15      
13 B1 722 687 55.35      
14 B1 546 519 22.28      
15 B2 3279 3120 4.89      
16 B2 3243 3085 20.39      
17 B2 1378 1311 51.51      
18 B2 1310 1246 0.00      
19 B2 1103 1049 6.09      
20 B2 955 908 0.03      
21 B2 691 657 6.34      

Unscaled Zero Point Vibrational Energy (zpe) 15113.1 cm-1
Scaled (by 0.9515) Zero Point Vibrational Energy (zpe) 14380.2 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 mPW1PW91/6-31G**
ABC
0.33530 0.29454 0.15680

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 1.247
C2 0.000 1.058 0.423
C3 0.000 -1.058 0.423
C4 0.000 0.679 -0.982
C5 0.000 -0.679 -0.982
H6 0.000 2.069 0.816
H7 0.000 -2.069 0.816
H8 0.000 1.353 -1.827
H9 0.000 -1.353 -1.827

Atom - Atom Distances (Å)
  N1 C2 C3 C4 C5 H6 H7 H8 H9
N11.34121.34122.33042.33042.11362.11363.35843.3584
C21.34122.11681.45562.23481.08433.15212.26933.2980
C31.34122.11682.23481.45563.15211.08433.29802.2693
C42.33041.45562.23481.35852.27253.28421.08042.2007
C52.33042.23481.45561.35853.28422.27252.20071.0804
H62.11361.08433.15212.27253.28424.13832.73804.3236
H72.11363.15211.08433.28422.27254.13834.32362.7380
H83.35842.26933.29801.08042.20072.73804.32362.7057
H93.35843.29802.26932.20071.08044.32362.73802.7057

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 112.797 N1 C2 H6 120.882
N1 C3 C5 112.797 N1 C3 H7 120.882
C2 N1 C3 104.210 C2 C4 C5 105.098
C2 C4 H8 126.334 C3 C5 C4 105.098
C3 C5 H9 126.334 C4 C2 H6 126.321
C4 C5 H9 128.568 C5 C3 H7 126.321
C5 C4 H8 128.568
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.443      
2 C 0.090      
3 C 0.090      
4 C -0.154      
5 C -0.154      
6 H 0.145      
7 H 0.145      
8 H 0.140      
9 H 0.140      


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 -2.073 2.073
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.565 0.000 0.000
y 0.000 -22.719 0.000
z 0.000 0.000 -31.061
Traceless
 xyz
x -3.675 0.000 0.000
y 0.000 8.094 0.000
z 0.000 0.000 -4.419
Polar
3z2-r2-8.838
x2-y2-7.845
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.697 0.000 0.000
y 0.000 8.146 0.000
z 0.000 0.000 6.771


<r2> (average value of r2) Å2
<r2> 81.378
(<r2>)1/2 9.021