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

using model chemistry: mPW1PW91/6-31G(2df,p)

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(2df,p)
 hartrees
Energy at 0K-209.475563
Energy at 298.15K-209.480137
HF Energy-209.475563
Nuclear repulsion energy151.398050
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(2df,p)
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 3288 3139 1.53      
2 A1 3231 3085 1.79      
3 A1 1587 1515 0.33      
4 A1 1465 1399 24.26      
5 A1 1220 1165 1.92      
6 A1 1106 1056 37.37      
7 A1 1060 1012 0.01      
8 A1 881 841 13.03      
9 A2 919 878 0.00      
10 A2 838 800 0.00      
11 A2 499 476 0.00      
12 B1 849 810 1.21      
13 B1 728 695 48.87      
14 B1 546 521 19.39      
15 B2 3266 3118 4.50      
16 B2 3227 3081 19.64      
17 B2 1366 1305 50.26      
18 B2 1297 1238 0.01      
19 B2 1096 1046 4.76      
20 B2 949 906 0.01      
21 B2 690 658 6.47      

Unscaled Zero Point Vibrational Energy (zpe) 15053.7 cm-1
Scaled (by 0.9547) Zero Point Vibrational Energy (zpe) 14371.8 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 mPW1PW91/6-31G(2df,p)
ABC
0.33601 0.29535 0.15719

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 1.245
C2 0.000 1.057 0.423
C3 0.000 -1.057 0.423
C4 0.000 0.678 -0.981
C5 0.000 -0.678 -0.981
H6 0.000 2.068 0.815
H7 0.000 -2.068 0.815
H8 0.000 1.352 -1.824
H9 0.000 -1.352 -1.824

Atom - Atom Distances (Å)
  N1 C2 C3 C4 C5 H6 H7 H8 H9
N11.33921.33922.32672.32672.11192.11193.35373.3537
C21.33922.11481.45432.23231.08393.14972.26673.2946
C31.33922.11482.23231.45433.14971.08393.29462.2667
C42.32671.45432.23231.35622.27123.28131.07942.1980
C52.32672.23231.45431.35623.28132.27122.19801.0794
H62.11191.08393.14972.27123.28134.13552.73534.3199
H72.11193.14971.08393.28132.27124.13554.31992.7353
H83.35372.26673.29461.07942.19802.73534.31992.7033
H93.35373.29462.26672.19801.07944.31992.73532.7033

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 112.734 N1 C2 H6 120.921
N1 C3 C5 112.734 N1 C3 H7 120.921
C2 N1 C3 104.294 C2 C4 C5 105.119
C2 C4 H8 126.273 C3 C5 C4 105.119
C3 C5 H9 126.273 C4 C2 H6 126.345
C4 C5 H9 128.609 C5 C3 H7 126.345
C5 C4 H8 128.609
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.259      
2 C -0.006      
3 C -0.006      
4 C -0.162      
5 C -0.162      
6 H 0.151      
7 H 0.151      
8 H 0.146      
9 H 0.146      


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 -1.993 1.993
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.333 0.000 0.000
y 0.000 -22.752 0.000
z 0.000 0.000 -30.804
Traceless
 xyz
x -3.555 0.000 0.000
y 0.000 7.816 0.000
z 0.000 0.000 -4.262
Polar
3z2-r2-8.523
x2-y2-7.581
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.222 0.000 0.000
y 0.000 8.239 0.000
z 0.000 0.000 6.948


<r2> (average value of r2) Å2
<r2> 81.134
(<r2>)1/2 9.007