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

using model chemistry: B3PW91/cc-pVDZ

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/cc-pVDZ
 hartrees
Energy at 0K-226.121283
Energy at 298.15K-226.127199
HF Energy-226.121283
Nuclear repulsion energy160.708441
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/cc-pVDZ
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' 3218 3105 12.07      
2 A' 3198 3086 7.87      
3 A' 3045 2938 1.05      
4 A' 1669 1611 43.62      
5 A' 1570 1516 11.78      
6 A' 1363 1315 24.25      
7 A' 1314 1268 27.26      
8 A' 1298 1253 4.59      
9 A' 1243 1199 6.39      
10 A' 1055 1018 44.44      
11 A' 1017 982 24.70      
12 A' 950 917 3.41      
13 A' 889 858 3.58      
14 A' 883 852 15.61      
15 A" 3085 2977 0.49      
16 A" 1143 1103 0.38      
17 A" 993 958 11.50      
18 A" 956 923 1.70      
19 A" 743 717 6.10      
20 A" 568 548 19.60      
21 A" 363 350 8.42      

Unscaled Zero Point Vibrational Energy (zpe) 15280.5 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 14745.7 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 B3PW91/cc-pVDZ
ABC
0.32162 0.29302 0.15784

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/cc-pVDZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.199 0.362 0.000
C2 0.000 1.131 0.000
N3 1.120 0.500 0.000
C4 0.729 -0.897 0.000
C5 -0.765 -0.853 0.000
H6 -0.068 2.222 0.000
H7 1.141 -1.419 0.883
H8 1.141 -1.419 -0.883
H9 -1.443 -1.712 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.42452.32312.30261.29032.17683.07023.07022.0888
C21.42451.28582.15502.12681.09302.93012.93013.1887
N32.32311.28581.45022.32042.09262.11242.11243.3854
C42.30262.15501.45021.49493.21921.10531.10532.3198
C51.29032.12682.32041.49493.15322.17522.17521.0943
H62.17681.09302.09263.21923.15323.93713.93714.1678
H73.07022.93012.11241.10532.17523.93711.76542.7455
H83.07022.93012.11241.10532.17523.93711.76542.7455
H92.08883.18873.38542.31981.09434.16782.74552.7455

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 117.903 N1 C2 H6 119.097
N1 C5 C4 111.317 N1 C5 H9 122.105
C2 N1 C5 103.034 C2 N3 C4 103.776
N3 C2 H6 123.000 N3 C4 C5 103.969
N3 C4 H7 110.790 N3 C4 H8 110.790
C4 C5 H9 126.577 C5 C4 H7 112.703
C5 C4 H8 112.703 H7 C4 H8 105.998
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.210      
2 C 0.143      
3 N -0.243      
4 C 0.041      
5 C 0.013      
6 H 0.042      
7 H 0.089      
8 H 0.089      
9 H 0.037      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.064 -2.010 0.000 2.011
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.326 -0.636 0.000
y -0.636 -23.798 0.000
z 0.000 0.000 -28.492
Traceless
 xyz
x -8.180 -0.636 0.000
y -0.636 7.611 0.000
z 0.000 0.000 0.570
Polar
3z2-r21.139
x2-y2-10.528
xy-0.636
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.193 -0.351 0.000
y -0.351 7.463 0.000
z 0.000 0.000 3.673


<r2> (average value of r2) Å2
<r2> 81.261
(<r2>)1/2 9.014