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All results from a given calculation for C3H4N2 (4H-Imidazole)

using model chemistry: B2PLYP/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B2PLYP/6-31G**
 hartrees
Energy at 0K-225.967314
Energy at 298.15K-225.973237
HF Energy-225.725989
Nuclear repulsion energy160.432114
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 B2PLYP/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 A' 3265 3265 13.78      
2 A' 3245 3245 8.50      
3 A' 3088 3088 1.51      
4 A' 1653 1653 36.60      
5 A' 1559 1559 9.63      
6 A' 1440 1440 15.95      
7 A' 1341 1341 23.50      
8 A' 1323 1323 5.33      
9 A' 1282 1282 7.45      
10 A' 1045 1045 57.17      
11 A' 1006 1006 9.79      
12 A' 954 954 2.64      
13 A' 883 883 2.02      
14 A' 881 881 14.47      
15 A" 3130 3130 1.77      
16 A" 1172 1172 0.27      
17 A" 1013 1013 11.29      
18 A" 963 963 0.41      
19 A" 761 761 5.24      
20 A" 566 566 21.81      
21 A" 368 368 7.28      

Unscaled Zero Point Vibrational Energy (zpe) 15468.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15468.4 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 B2PLYP/6-31G**
ABC
0.32012 0.29178 0.15709

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/6-31G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.203 0.361 0.000
C2 0.000 1.135 0.000
N3 1.122 0.504 0.000
C4 0.732 -0.903 0.000
C5 -0.767 -0.855 0.000
H6 -0.071 2.216 0.000
H7 1.138 -1.413 0.880
H8 1.138 -1.413 -0.880
H9 -1.435 -1.709 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.43042.32942.31161.29262.17223.06653.06652.0833
C21.43041.28782.16582.13341.08252.92642.92643.1857
N32.32941.28781.45942.32692.08702.10892.10893.3812
C42.31162.16581.45941.49983.22031.09521.09522.3121
C51.29262.13342.32691.49983.14872.17122.17121.0838
H62.17221.08252.08703.22033.14873.92473.92474.1546
H73.06652.92642.10891.09522.17123.92471.76002.7353
H83.06652.92642.10891.09522.17123.92471.76002.7353
H92.08333.18573.38122.31211.08384.15462.73532.7353

picture of 4H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N3 117.858 N1 C2 H6 118.983
N1 C5 C4 111.531 N1 C5 H9 122.232
C2 N1 C5 103.039 C2 N3 C4 103.891
N3 C2 H6 123.159 N3 C4 C5 103.682
N3 C4 H7 110.480 N3 C4 H8 110.480
C4 C5 H9 126.237 C5 C4 H7 112.654
C5 C4 H8 112.654 H7 C4 H8 106.937
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.383      
2 C 0.219      
3 N -0.377      
4 C -0.134      
5 C 0.098      
6 H 0.130      
7 H 0.159      
8 H 0.159      
9 H 0.129      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.025 -2.052 0.000 2.052
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.965 -0.600 0.000
y -0.600 -23.954 0.000
z 0.000 0.000 -28.667
Traceless
 xyz
x -8.654 -0.600 0.000
y -0.600 7.863 0.000
z 0.000 0.000 0.792
Polar
3z2-r21.584
x2-y2-11.011
xy-0.600
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.041 -0.350 0.000
y -0.350 7.207 0.000
z 0.000 0.000 3.436


<r2> (average value of r2) Å2
<r2> 81.653
(<r2>)1/2 9.036