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

using model chemistry: wB97X-D/SDD

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/SDD
 hartrees
Energy at 0K-226.058038
Energy at 298.15K-226.063996
HF Energy-226.058038
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/SDD
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' 3329 3329 9.39      
2 A' 3295 3295 6.18      
3 A' 3117 3117 1.59      
4 A' 1630 1630 33.02      
5 A' 1549 1549 9.79      
6 A' 1455 1455 40.47      
7 A' 1331 1331 24.65      
8 A' 1310 1310 7.53      
9 A' 1289 1289 10.89      
10 A' 1031 1031 51.36      
11 A' 1001 1001 15.19      
12 A' 957 957 4.43      
13 A' 882 882 16.22      
14 A' 878 878 1.93      
15 A" 3176 3176 3.05      
16 A" 1169 1169 0.08      
17 A" 1028 1028 19.36      
18 A" 968 968 0.55      
19 A" 781 781 15.86      
20 A" 581 581 25.13      
21 A" 395 395 11.81      

Unscaled Zero Point Vibrational Energy (zpe) 15575.5 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15575.5 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 wB97X-D/SDD
ABC
0.31017 0.28877 0.15385

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.206 0.360 0.000
C2 0.000 1.164 0.000
N3 1.124 0.509 0.000
C4 0.740 -0.920 0.000
C5 -0.774 -0.872 0.000
H6 -0.075 2.240 0.000
H7 1.150 -1.418 0.885
H8 1.150 -1.418 -0.885
H9 -1.447 -1.719 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.44902.33432.32901.30622.19413.08123.08122.0936
C21.44901.30062.21112.17831.07932.96172.96173.2259
N32.33431.30061.47972.34722.10582.12092.12093.4021
C42.32902.21111.47971.51433.26371.09511.09512.3282
C51.30622.17832.34721.51433.19042.18632.18631.0819
H62.19411.07932.10583.26373.19043.95833.95834.1908
H73.08122.96172.12091.09512.18633.95831.76982.7596
H83.08122.96172.12091.09512.18633.95831.76982.7596
H92.09363.22593.40212.32821.08194.19082.75962.7596

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 116.097 N1 C2 H6 119.700
N1 C5 C4 111.113 N1 C5 H9 122.208
C2 N1 C5 104.362 C2 N3 C4 105.183
N3 C2 H6 124.203 N3 C4 C5 103.244
N3 C4 H7 110.020 N3 C4 H8 110.020
C4 C5 H9 126.679 C5 C4 H7 112.847
C5 C4 H8 112.847 H7 C4 H8 107.807
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/SDD Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.124      
2 C -0.184      
3 N -0.083      
4 C -0.483      
5 C -0.159      
6 H 0.256      
7 H 0.263      
8 H 0.263      
9 H 0.251      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.162 -2.472 0.000 2.477
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.702 -0.717 0.000
y -0.717 -23.214 0.000
z 0.000 0.000 -28.986
Traceless
 xyz
x -10.602 -0.717 0.000
y -0.717 9.630 0.000
z 0.000 0.000 0.972
Polar
3z2-r21.943
x2-y2-13.488
xy-0.717
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.131 -0.395 0.000
y -0.395 7.152 0.000
z 0.000 0.000 3.472


<r2> (average value of r2) Å2
<r2> 83.203
(<r2>)1/2 9.122