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

using model chemistry: mPW1PW91/TZVP

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/TZVP
 hartrees
Energy at 0K-209.525841
Energy at 298.15K-209.530390
HF Energy-209.525841
Nuclear repulsion energy151.560556
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/TZVP
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 3280 3129 0.70      
2 A1 3232 3083 0.78      
3 A1 1584 1511 1.15      
4 A1 1460 1393 24.24      
5 A1 1220 1164 3.69      
6 A1 1103 1053 44.09      
7 A1 1057 1009 0.09      
8 A1 889 848 9.52      
9 A2 897 856 0.00      
10 A2 815 777 0.00      
11 A2 483 461 0.00      
12 B1 835 797 0.49      
13 B1 719 686 71.44      
14 B1 544 519 21.33      
15 B2 3260 3110 3.64      
16 B2 3228 3079 15.35      
17 B2 1369 1306 54.78      
18 B2 1305 1245 0.04      
19 B2 1093 1043 5.87      
20 B2 948 905 0.01      
21 B2 681 650 6.09      

Unscaled Zero Point Vibrational Energy (zpe) 15000.7 cm-1
Scaled (by 0.954) Zero Point Vibrational Energy (zpe) 14310.7 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/TZVP
ABC
0.33616 0.29644 0.15752

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/TZVP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 1.241
C2 0.000 1.058 0.423
C3 0.000 -1.058 0.423
C4 0.000 0.677 -0.979
C5 0.000 -0.677 -0.979
H6 0.000 2.066 0.817
H7 0.000 -2.066 0.817
H8 0.000 1.349 -1.824
H9 0.000 -1.349 -1.824

Atom - Atom Distances (Å)
  N1 C2 C3 C4 C5 H6 H7 H8 H9
N11.33721.33722.32122.32122.10892.10893.34803.3480
C21.33722.11631.45342.23131.08223.14892.26563.2925
C31.33722.11632.23131.45343.14891.08223.29252.2656
C42.32121.45342.23131.35442.27103.27921.07872.1946
C52.32122.23131.45341.35443.27922.27102.19461.0787
H62.10891.08223.14892.27103.27924.13192.73684.3167
H72.10893.14891.08223.27922.27104.13194.31672.7368
H83.34802.26563.29251.07872.19462.73684.31672.6971
H93.34803.29252.26562.19461.07874.31672.73682.6971

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 112.495 N1 C2 H6 120.943
N1 C3 C5 112.495 N1 C3 H7 120.943
C2 N1 C3 104.618 C2 C4 C5 105.196
C2 C4 H8 126.312 C3 C5 C4 105.196
C3 C5 H9 126.312 C4 C2 H6 126.562
C4 C5 H9 128.492 C5 C3 H7 126.562
C5 C4 H8 128.492
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.110      
2 C -0.090      
3 C -0.090      
4 C -0.114      
5 C -0.114      
6 H 0.122      
7 H 0.122      
8 H 0.137      
9 H 0.137      


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 -2.122 2.122
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.251 0.000 0.000
y 0.000 -23.068 0.000
z 0.000 0.000 -31.881
Traceless
 xyz
x -3.776 0.000 0.000
y 0.000 8.498 0.000
z 0.000 0.000 -4.722
Polar
3z2-r2-9.443
x2-y2-8.182
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.208 0.000 0.000
y 0.000 8.657 0.000
z 0.000 0.000 7.446


<r2> (average value of r2) Å2
<r2> 81.484
(<r2>)1/2 9.027