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

using model chemistry: wB97X-D/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 wB97X-D/CEP-31G
 hartrees
Energy at 0K-39.053132
Energy at 298.15K-39.059073
HF Energy-39.053132
Nuclear repulsion energy 
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 wB97X-D/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' 3309 3309 15.41      
2 A' 3271 3271 16.10      
3 A' 3103 3103 4.64      
4 A' 1608 1608 33.68      
5 A' 1528 1528 10.24      
6 A' 1442 1442 35.91      
7 A' 1321 1321 25.28      
8 A' 1305 1305 10.01      
9 A' 1279 1279 7.61      
10 A' 1025 1025 51.10      
11 A' 1001 1001 20.66      
12 A' 952 952 4.64      
13 A' 873 873 12.02      
14 A' 871 871 5.15      
15 A" 3162 3162 6.46      
16 A" 1162 1162 0.00      
17 A" 1026 1026 22.58      
18 A" 983 983 0.52      
19 A" 781 781 15.98      
20 A" 574 574 25.88      
21 A" 387 387 12.08      

Unscaled Zero Point Vibrational Energy (zpe) 15480.8 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15480.8 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 wB97X-D/CEP-31G
ABC
0.30701 0.28353 0.15163

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/CEP-31G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.219 0.364 0.000
C2 0.000 1.168 0.000
N3 1.135 0.512 0.000
C4 0.747 -0.924 0.000
C5 -0.780 -0.877 0.000
H6 -0.075 2.251 0.000
H7 1.158 -1.427 0.889
H8 1.158 -1.427 -0.889
H9 -1.455 -1.730 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.46012.35792.35011.31532.20653.10583.10582.1065
C21.46011.31052.22162.18841.08532.97752.97753.2424
N32.35791.31051.48762.36562.11802.13332.13333.4252
C42.35012.22161.48761.52863.27961.10121.10122.3451
C51.31532.18842.36561.52863.20582.20292.20291.0876
H62.20651.08532.11803.27963.20583.97943.97944.2127
H73.10582.97752.13331.10122.20293.97941.77882.7772
H83.10582.97752.13331.10122.20293.97941.77882.7772
H92.10653.24243.42522.34511.08764.21272.77722.7772

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 116.546 N1 C2 H6 119.461
N1 C5 C4 111.240 N1 C5 H9 122.204
C2 N1 C5 103.971 C2 N3 C4 104.936
N3 C2 H6 123.993 N3 C4 C5 103.307
N3 C4 H7 110.095 N3 C4 H8 110.095
C4 C5 H9 126.556 C5 C4 H7 112.782
C5 C4 H8 112.782 H7 C4 H8 107.741
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/CEP-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N 0.134      
2 C -0.515      
3 N 0.124      
4 C -0.289      
5 C -0.391      
6 H 0.265      
7 H 0.199      
8 H 0.199      
9 H 0.274      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.118 -2.527 0.000 2.530
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.053 -0.680 0.000
y -0.680 -23.088 0.000
z 0.000 0.000 -28.869
Traceless
 xyz
x -11.074 -0.680 0.000
y -0.680 9.872 0.000
z 0.000 0.000 1.202
Polar
3z2-r22.403
x2-y2-13.964
xy-0.680
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.259 -0.432 0.000
y -0.432 7.257 0.000
z 0.000 0.000 3.568


<r2> (average value of r2) Å2
<r2> 69.499
(<r2>)1/2 8.337