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

using model chemistry: B3PW91/aug-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/aug-cc-pVDZ
 hartrees
Energy at 0K-226.136347
Energy at 298.15K-226.142280
HF Energy-226.136347
Nuclear repulsion energy160.735266
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/aug-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' 3222 3108 10.17      
2 A' 3202 3089 8.06      
3 A' 3046 2939 2.26      
4 A' 1656 1598 47.56      
5 A' 1559 1504 11.80      
6 A' 1373 1325 25.07      
7 A' 1318 1271 28.58      
8 A' 1301 1255 5.35      
9 A' 1245 1201 4.93      
10 A' 1054 1016 47.49      
11 A' 1015 979 22.83      
12 A' 949 916 3.54      
13 A' 887 856 2.55      
14 A' 880 849 12.94      
15 A" 3085 2976 0.37      
16 A" 1144 1104 0.42      
17 A" 996 961 14.70      
18 A" 963 929 1.91      
19 A" 744 718 6.02      
20 A" 569 549 21.34      
21 A" 369 356 6.31      

Unscaled Zero Point Vibrational Energy (zpe) 15289.1 cm-1
Scaled (by 0.9646) Zero Point Vibrational Energy (zpe) 14747.8 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 B3PW91/aug-cc-pVDZ
ABC
0.32065 0.29399 0.15788

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.196 0.363 0.000
C2 0.000 1.135 0.000
N3 1.118 0.499 0.000
C4 0.728 -0.899 0.000
C5 -0.766 -0.854 0.000
H6 -0.067 2.223 0.000
H7 1.139 -1.417 0.883
H8 1.139 -1.417 -0.883
H9 -1.442 -1.711 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.42352.31742.30101.29072.17573.06563.06562.0883
C21.42351.28622.16092.13161.08992.93102.93103.1907
N32.31741.28621.45132.31902.09232.10972.10973.3817
C42.30102.16091.45131.49473.22211.10271.10272.3173
C51.29072.13162.31901.49473.15552.17342.17341.0916
H62.17571.08992.09233.22213.15553.93523.93524.1673
H73.06562.93102.10971.10272.17343.93521.76532.7435
H83.06562.93102.10971.10272.17343.93521.76532.7435
H92.08833.19073.38172.31731.09164.16732.74352.7435

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 117.483 N1 C2 H6 119.314
N1 C5 C4 111.189 N1 C5 H9 122.247
C2 N1 C5 103.400 C2 N3 C4 104.094
N3 C2 H6 123.203 N3 C4 C5 103.834
N3 C4 H7 110.649 N3 C4 H8 110.649
C4 C5 H9 126.564 C5 C4 H7 112.724
C5 C4 H8 112.724 H7 C4 H8 106.347
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.436      
2 C 0.534      
3 N -0.368      
4 C 0.791      
5 C 0.316      
6 H -0.173      
7 H -0.199      
8 H -0.199      
9 H -0.264      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.028 -2.128 0.000 2.129
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.506 -0.614 0.000
y -0.614 -23.909 0.000
z 0.000 0.000 -29.071
Traceless
 xyz
x -9.017 -0.614 0.000
y -0.614 8.380 0.000
z 0.000 0.000 0.636
Polar
3z2-r21.273
x2-y2-11.598
xy-0.614
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.669 -0.282 0.000
y -0.282 8.265 0.000
z 0.000 0.000 4.981


<r2> (average value of r2) Å2
<r2> 81.623
(<r2>)1/2 9.035