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

using model chemistry: mPW1PW91/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2A2
Energy calculated at mPW1PW91/3-21G
 hartrees
Energy at 0K-208.288225
Energy at 298.15K-208.292693
HF Energy-208.288225
Nuclear repulsion energy149.827695
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 mPW1PW91/3-21G
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 3325 3174 0.08      
2 A1 3285 3136 3.23      
3 A1 1563 1492 1.01      
4 A1 1386 1323 4.24      
5 A1 1207 1152 0.00      
6 A1 1091 1041 26.69      
7 A1 1039 992 15.74      
8 A1 901 860 12.44      
9 A2 958 914 0.00      
10 A2 825 788 0.00      
11 A2 505 482 0.00      
12 B1 861 822 1.48      
13 B1 742 708 98.67      
14 B1 558 533 25.70      
15 B2 3300 3150 2.46      
16 B2 3278 3129 7.97      
17 B2 1360 1299 46.03      
18 B2 1304 1245 2.93      
19 B2 1024 978 15.23      
20 B2 922 880 0.34      
21 B2 506 483 1.81      

Unscaled Zero Point Vibrational Energy (zpe) 14968.9 cm-1
Scaled (by 0.9546) Zero Point Vibrational Energy (zpe) 14289.3 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 mPW1PW91/3-21G
ABC
0.32696 0.29044 0.15381

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/3-21G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 1.256
C2 0.000 1.080 0.427
C3 0.000 -1.080 0.427
C4 0.000 0.681 -0.990
C5 0.000 -0.681 -0.990
H6 0.000 2.087 0.813
H7 0.000 -2.087 0.813
H8 0.000 1.348 -1.835
H9 0.000 -1.348 -1.835

Atom - Atom Distances (Å)
  N1 C2 C3 C4 C5 H6 H7 H8 H9
N11.36131.36132.34682.34682.13372.13373.37243.3724
C21.36132.15971.47202.26011.07873.19052.27823.3187
C31.36132.15972.26011.47203.19051.07873.31872.2782
C42.34681.47202.26011.36192.28633.30341.07702.1982
C52.34682.26011.47201.36193.30342.28632.19821.0770
H62.13371.07873.19052.28633.30344.17442.74934.3376
H72.13373.19051.07873.30342.28634.17444.33762.7493
H83.37242.27823.31871.07702.19822.74934.33762.6964
H93.37243.31872.27822.19821.07704.33762.74932.6964

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 111.787 N1 C2 H6 121.537
N1 C3 C5 111.787 N1 C3 H7 121.537
C2 N1 C3 104.982 C2 C4 C5 105.722
C2 C4 H8 125.995 C3 C5 C4 105.722
C3 C5 H9 125.995 C4 C2 H6 126.676
C4 C5 H9 128.283 C5 C3 H7 126.676
C5 C4 H8 128.283
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.514      
2 C 0.043      
3 C 0.043      
4 C -0.265      
5 C -0.265      
6 H 0.249      
7 H 0.249      
8 H 0.231      
9 H 0.231      


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 -31.651 0.000 0.000
y 0.000 -22.412 0.000
z 0.000 0.000 -31.462
Traceless
 xyz
x -4.714 0.000 0.000
y 0.000 9.145 0.000
z 0.000 0.000 -4.431
Polar
3z2-r2-8.861
x2-y2-9.239
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.034 0.000 0.000
y 0.000 7.720 0.000
z 0.000 0.000 6.171


<r2> (average value of r2) Å2
<r2> 82.758
(<r2>)1/2 9.097