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

using model chemistry: HF/CEP-121G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at HF/CEP-121G
 hartrees
Energy at 0K-38.000506
Energy at 298.15K-38.006683
HF Energy-38.000506
Nuclear repulsion energy83.034199
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 HF/CEP-121G
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' 3431 3131 10.21      
2 A' 3391 3094 7.09      
3 A' 3206 2926 5.18      
4 A' 1763 1609 55.67      
5 A' 1676 1529 23.73      
6 A' 1574 1436 21.80      
7 A' 1422 1297 29.77      
8 A' 1417 1293 20.24      
9 A' 1383 1262 3.52      
10 A' 1090 995 76.78      
11 A' 1064 971 11.16      
12 A' 1005 917 3.27      
13 A' 944 861 5.57      
14 A' 939 857 14.67      
15 A" 3261 2976 9.12      
16 A" 1267 1156 0.09      
17 A" 1131 1032 20.52      
18 A" 1056 964 0.31      
19 A" 857 782 8.85      
20 A" 620 566 35.49      
21 A" 411 375 8.75      

Unscaled Zero Point Vibrational Energy (zpe) 16454.0 cm-1
Scaled (by 0.9125) Zero Point Vibrational Energy (zpe) 15014.3 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 HF/CEP-121G
ABC
0.31262 0.29239 0.15541

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/CEP-121G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 1.126 0.534 0.000
C2 0.772 -0.870 0.000
N3 -0.486 -1.120 0.000
C4 -1.167 0.191 0.000
C5 0.000 1.162 0.000
H6 1.542 -1.611 0.000
H7 -1.796 0.289 0.878
H8 -1.796 0.289 -0.878
H9 -0.064 2.232 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.44782.31022.31811.28932.18523.06133.06132.0735
C21.44781.28282.20982.17361.06892.95132.95133.2127
N32.31021.28281.47762.33392.08662.11532.11533.3794
C42.31812.20981.47761.51793.25341.08481.08482.3201
C51.28932.17362.33391.51793.17322.18182.18181.0721
H62.18521.06892.08663.25343.17323.94043.94044.1654
H73.06132.95132.11531.08482.18183.94041.75532.7476
H83.06132.95132.11531.08482.18183.94041.75532.7476
H92.07353.21273.37942.32011.07214.16542.74762.7476

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 115.430 N1 C2 H6 119.754
N1 C5 C4 111.073 N1 C5 H9 122.562
C2 N1 C5 104.995 C2 N3 C4 106.147
N3 C2 H6 124.815 N3 C4 C5 102.355
N3 C4 H7 110.341 N3 C4 H8 110.341
C4 C5 H9 126.365 C5 C4 H7 112.863
C5 C4 H8 112.863 H7 C4 H8 108.011
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/CEP-121G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.112      
2 C -0.151      
3 N -0.072      
4 C -0.384      
5 C -0.102      
6 H 0.200      
7 H 0.207      
8 H 0.207      
9 H 0.206      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.691 1.898 0.000 2.542
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.835 -7.237 0.000
y -7.237 -30.661 0.000
z 0.000 0.000 -29.475
Traceless
 xyz
x -0.767 -7.237 0.000
y -7.237 -0.506 0.000
z 0.000 0.000 1.273
Polar
3z2-r22.546
x2-y2-0.174
xy-7.237
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.229 -0.702 0.000
y -0.702 6.222 0.000
z 0.000 0.000 3.875


<r2> (average value of r2) Å2
<r2> 68.691
(<r2>)1/2 8.288