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

using model chemistry: B3LYP/CEP-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 B3LYP/CEP-31G*
 hartrees
Energy at 0K-39.124645
Energy at 298.15K-39.130504
HF Energy-39.124645
Nuclear repulsion energy82.551931
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 B3LYP/CEP-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' 3217 3106 16.01      
2 A' 3191 3081 14.59      
3 A' 3050 2945 6.61      
4 A' 1644 1587 49.53      
5 A' 1548 1495 12.85      
6 A' 1408 1359 18.74      
7 A' 1318 1272 26.75      
8 A' 1302 1257 7.61      
9 A' 1253 1210 8.93      
10 A' 1032 996 61.46      
11 A' 994 959 16.41      
12 A' 930 898 3.15      
13 A' 868 838 1.78      
14 A' 861 831 12.05      
15 A" 3087 2981 8.83      
16 A" 1152 1113 0.01      
17 A" 998 964 19.74      
18 A" 961 928 1.31      
19 A" 743 717 10.96      
20 A" 557 538 21.56      
21 A" 364 352 8.21      

Unscaled Zero Point Vibrational Energy (zpe) 15236.7 cm-1
Scaled (by 0.9657) Zero Point Vibrational Energy (zpe) 14714.1 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 B3LYP/CEP-31G*
ABC
0.31488 0.28577 0.15419

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-31G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.213 0.365 0.000
C2 0.000 1.144 0.000
N3 1.133 0.508 0.000
C4 0.743 -0.910 0.000
C5 -0.778 -0.863 0.000
H6 -0.072 2.236 0.000
H7 1.149 -1.427 0.890
H8 1.149 -1.427 -0.890
H9 -1.459 -1.721 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.44102.34952.33501.30282.19063.09593.09592.1007
C21.44101.29872.18372.15181.09452.95332.95333.2145
N32.34951.29871.47002.35112.10632.13002.13003.4178
C42.33502.18371.47001.52193.24941.10661.10662.3467
C51.30282.15182.35111.52193.17772.19652.19651.0955
H62.19061.09452.10633.24943.17773.96243.96244.1924
H73.09592.95332.13001.10662.19653.96241.78002.7713
H83.09592.95332.13001.10662.19653.96241.78002.7713
H92.10073.21453.41782.34671.09554.19242.77132.7713

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 118.003 N1 C2 H6 118.905
N1 C5 C4 111.272 N1 C5 H9 122.070
C2 N1 C5 103.188 C2 N3 C4 103.958
N3 C2 H6 123.092 N3 C4 C5 103.579
N3 C4 H7 110.724 N3 C4 H8 110.724
C4 C5 H9 126.659 C5 C4 H7 112.399
C5 C4 H8 112.399 H7 C4 H8 107.073
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N 0.177      
2 C -0.572      
3 N 0.144      
4 C -0.241      
5 C -0.435      
6 H 0.270      
7 H 0.186      
8 H 0.186      
9 H 0.284      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.008 -2.202 0.000 2.202
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.281 -0.584 0.000
y -0.584 -23.337 0.000
z 0.000 0.000 -28.734
Traceless
 xyz
x -9.245 -0.584 0.000
y -0.584 8.670 0.000
z 0.000 0.000 0.575
Polar
3z2-r21.150
x2-y2-11.944
xy-0.584
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.497 -0.332 0.000
y -0.332 7.327 0.000
z 0.000 0.000 3.750


<r2> (average value of r2) Å2
<r2> 68.451
(<r2>)1/2 8.274