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

using model chemistry: B3PW91/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B3PW91/6-31G
 hartrees
Energy at 0K-226.018763
Energy at 298.15K-226.024701
HF Energy-226.018763
Nuclear repulsion energy159.129987
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 B3PW91/6-31G
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' 3312 3172 7.56      
2 A' 3274 3136 4.55      
3 A' 3085 2954 0.16      
4 A' 1616 1548 31.14      
5 A' 1529 1464 7.89      
6 A' 1441 1380 30.37      
7 A' 1321 1265 21.77      
8 A' 1306 1251 2.85      
9 A' 1271 1217 13.97      
10 A' 1011 968 55.34      
11 A' 976 934 1.34      
12 A' 951 911 4.79      
13 A' 878 841 12.16      
14 A' 870 833 9.16      
15 A" 3131 2999 0.22      
16 A" 1167 1118 0.12      
17 A" 1018 975 18.00      
18 A" 969 928 0.03      
19 A" 776 743 12.99      
20 A" 581 556 23.45      
21 A" 388 371 12.58      

Unscaled Zero Point Vibrational Energy (zpe) 15434.4 cm-1
Scaled (by 0.9577) Zero Point Vibrational Energy (zpe) 14781.5 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 B3PW91/6-31G
ABC
0.31154 0.28977 0.15445

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.206 0.359 0.000
C2 0.000 1.159 0.000
N3 1.123 0.511 0.000
C4 0.734 -0.918 0.000
C5 -0.769 -0.869 0.000
H6 -0.076 2.236 0.000
H7 1.150 -1.419 0.883
H8 1.150 -1.419 -0.883
H9 -1.437 -1.720 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.44772.33472.32351.30392.19103.08143.08142.0919
C21.44771.29732.20382.16951.07892.95802.95803.2182
N32.33471.29731.48112.34212.10082.12202.12203.3960
C42.32352.20381.48111.50423.25651.09681.09682.3148
C51.30392.16952.34211.50423.18142.18312.18311.0818
H62.19101.07892.10083.25653.18143.95443.95444.1836
H73.08142.95802.12201.09682.18313.95441.76612.7507
H83.08142.95802.12201.09682.18313.95441.76612.7507
H92.09193.21823.39602.31481.08184.18362.75072.7507

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 116.435 N1 C2 H6 119.544
N1 C5 C4 111.474 N1 C5 H9 122.260
C2 N1 C5 103.961 C2 N3 C4 104.778
N3 C2 H6 124.021 N3 C4 C5 103.352
N3 C4 H7 109.902 N3 C4 H8 109.902
C4 C5 H9 126.265 C5 C4 H7 113.205
C5 C4 H8 113.205 H7 C4 H8 107.235
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.345      
2 C 0.091      
3 N -0.327      
4 C -0.310      
5 C 0.014      
6 H 0.207      
7 H 0.234      
8 H 0.234      
9 H 0.201      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.173 -2.327 0.000 2.334
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.956 -0.777 0.000
y -0.777 -23.435 0.000
z 0.000 0.000 -28.806
Traceless
 xyz
x -9.836 -0.777 0.000
y -0.777 8.946 0.000
z 0.000 0.000 0.890
Polar
3z2-r21.780
x2-y2-12.521
xy-0.777
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.073 -0.397 0.000
y -0.397 7.251 0.000
z 0.000 0.000 3.295


<r2> (average value of r2) Å2
<r2> 82.817
(<r2>)1/2 9.100