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

using model chemistry: wB97X-D/STO-3G

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/STO-3G
 hartrees
Energy at 0K-223.280307
Energy at 298.15K-223.285967
HF Energy-223.280307
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/STO-3G
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' 3500 3500 5.50      
2 A' 3495 3495 17.22      
3 A' 3358 3358 11.91      
4 A' 1716 1716 11.94      
5 A' 1621 1621 4.86      
6 A' 1581 1581 7.04      
7 A' 1386 1386 5.55      
8 A' 1358 1358 21.32      
9 A' 1310 1310 0.62      
10 A' 1040 1040 23.13      
11 A' 1030 1030 1.06      
12 A' 1005 1005 5.12      
13 A' 891 891 5.46      
14 A' 871 871 4.19      
15 A" 3463 3463 4.48      
16 A" 1218 1218 0.56      
17 A" 1028 1028 4.55      
18 A" 949 949 0.19      
19 A" 795 795 8.96      
20 A" 559 559 9.16      
21 A" 375 375 8.10      

Unscaled Zero Point Vibrational Energy (zpe) 16274.0 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 16274.0 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/STO-3G
ABC
0.30409 0.27307 0.14797

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/STO-3G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.257 0.353 0.000
C2 0.000 1.165 0.000
N3 1.161 0.537 0.000
C4 0.752 -0.931 0.000
C5 -0.776 -0.879 0.000
H6 -0.084 2.263 0.000
H7 1.165 -1.431 0.898
H8 1.165 -1.431 -0.898
H9 -1.428 -1.765 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.49642.42532.38521.32262.24093.13923.13922.1250
C21.49641.31982.22722.18611.10112.98332.98333.2592
N32.42531.31981.52462.39992.12782.16342.16343.4647
C42.38522.22721.52461.52973.30191.10691.10692.3344
C51.32262.18612.39991.52973.21682.20852.20851.0999
H62.24091.10112.12783.30193.21684.00114.00114.2458
H73.13922.98332.16341.10692.20854.00111.79522.7638
H83.13922.98332.16341.10692.20854.00111.79522.7638
H92.12503.25923.46472.33441.09994.24582.76382.7638

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 118.772 N1 C2 H6 118.449
N1 C5 C4 113.291 N1 C5 H9 122.342
C2 N1 C5 101.521 C2 N3 C4 102.838
N3 C2 H6 122.779 N3 C4 C5 103.578
N3 C4 H7 109.577 N3 C4 H8 109.577
C4 C5 H9 124.366 C5 C4 H7 112.805
C5 C4 H8 112.805 H7 C4 H8 108.377
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.212      
2 C 0.066      
3 N -0.207      
4 C -0.098      
5 C 0.019      
6 H 0.105      
7 H 0.113      
8 H 0.113      
9 H 0.103      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.179 -1.802 0.000 1.811
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -32.626 -0.477 0.000
y -0.477 -23.260 0.000
z 0.000 0.000 -26.495
Traceless
 xyz
x -7.749 -0.477 0.000
y -0.477 6.301 0.000
z 0.000 0.000 1.448
Polar
3z2-r22.897
x2-y2-9.367
xy-0.477
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.480 -0.281 0.000
y -0.281 4.779 0.000
z 0.000 0.000 1.646


<r2> (average value of r2) Å2
<r2> 84.242
(<r2>)1/2 9.178