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All results from a given calculation for C3H4N2 (1H-Imidazole)

using model chemistry: B2PLYP/3-21G*

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/3-21G*
 hartrees
Energy at 0K-224.645818
Energy at 298.15K-224.651871
HF Energy-224.481081
Nuclear repulsion energy161.241422
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/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 A' 3607 3607 57.70      
2 A' 3338 3338 1.16      
3 A' 3315 3315 0.41      
4 A' 3313 3313 3.04      
5 A' 1533 1533 20.25      
6 A' 1467 1467 6.03      
7 A' 1400 1400 11.58      
8 A' 1323 1323 8.64      
9 A' 1279 1279 5.81      
10 A' 1163 1163 1.32      
11 A' 1092 1092 25.86      
12 A' 1087 1087 8.57      
13 A' 1045 1045 18.01      
14 A' 962 962 2.75      
15 A' 919 919 11.01      
16 A" 902 902 3.06      
17 A" 848 848 26.41      
18 A" 770 770 36.17      
19 A" 686 686 4.21      
20 A" 658 658 42.37      
21 A" 631 631 129.36      

Unscaled Zero Point Vibrational Energy (zpe) 15669.3 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15669.3 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 B2PLYP/3-21G*
ABC
0.31543 0.30740 0.15568

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/3-21G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.119 0.000
C2 -1.111 0.288 0.000
C3 1.132 0.297 0.000
N4 -0.754 -0.996 0.000
C5 0.655 -0.993 0.000
H6 0.001 2.130 0.000
H7 -2.117 0.665 0.000
H8 2.130 0.693 0.000
H9 1.214 -1.910 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.38711.39842.24532.21081.01102.16502.17213.2627
C21.38712.24241.33252.18112.15151.07453.26603.1990
C31.39842.24242.28691.37552.15313.26931.07402.2086
N42.24531.33252.28691.40913.21582.14843.34262.1701
C52.21082.18111.37551.40913.19033.22962.24041.0739
H61.01102.15152.15313.21583.19032.57542.56814.2176
H72.16501.07453.26932.14843.22962.57544.24704.2100
H82.17213.26601.07403.34262.24042.56814.24702.7594
H93.26273.19902.20862.17011.07394.21764.21002.7594

picture of 1H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N4 111.285 N1 C2 H7 122.662
N1 C3 C5 105.689 N1 C3 H8 122.392
C2 N1 C3 107.227 C2 N1 H6 126.870
C2 N4 C5 105.385 C3 N1 H6 125.903
C3 C5 N4 110.414 C3 C5 H9 128.330
N4 C2 H7 126.052 N4 C5 H9 121.256
C5 C3 H8 131.919
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.707      
2 C 0.275      
3 C 0.029      
4 N -0.501      
5 C -0.075      
6 H 0.334      
7 H 0.226      
8 H 0.216      
9 H 0.203      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.210 3.682 0.000 3.876
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.312 -3.353 0.000
y -3.353 -25.500 0.000
z 0.000 0.000 -31.927
Traceless
 xyz
x 2.401 -3.353 0.000
y -3.353 3.619 0.000
z 0.000 0.000 -6.021
Polar
3z2-r2-12.042
x2-y2-0.812
xy-3.353
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.512 -0.276 0.000
y -0.276 6.269 0.000
z 0.000 0.000 1.868


<r2> (average value of r2) Å2
<r2> 81.322
(<r2>)1/2 9.018