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

using model chemistry: LSDA/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at LSDA/3-21G*
 hartrees
Energy at 0K-223.688472
Energy at 298.15K-223.694284
HF Energy-223.688472
Nuclear repulsion energy159.029904
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 LSDA/3-21G*
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' 3195 3138 4.55      
2 A' 3164 3107 1.58      
3 A' 3003 2949 3.43      
4 A' 1535 1507 26.70      
5 A' 1463 1437 5.88      
6 A' 1365 1340 38.07      
7 A' 1260 1237 15.54      
8 A' 1249 1226 2.67      
9 A' 1183 1162 20.95      
10 A' 990 973 49.82      
11 A' 947 930 2.54      
12 A' 916 899 4.17      
13 A' 859 843 15.77      
14 A' 829 814 12.48      
15 A" 3046 2992 2.12      
16 A" 1127 1107 0.05      
17 A" 966 949 19.71      
18 A" 936 919 1.83      
19 A" 733 720 16.03      
20 A" 572 561 16.48      
21 A" 365 358 18.02      

Unscaled Zero Point Vibrational Energy (zpe) 14851.3 cm-1
Scaled (by 0.982) Zero Point Vibrational Energy (zpe) 14584.0 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 LSDA/3-21G*
ABC
0.31186 0.28914 0.15447

See section I.F.4 to change rotational constant units
Geometric Data calculated at LSDA/3-21G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.208 0.357 0.000
C2 0.000 1.157 0.000
N3 1.125 0.513 0.000
C4 0.732 -0.915 0.000
C5 -0.767 -0.871 0.000
H6 -0.084 2.243 0.000
H7 1.151 -1.414 0.894
H8 1.151 -1.414 -0.894
H9 -1.431 -1.736 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.44952.33862.32001.30422.19593.08243.08242.1046
C21.44951.29672.19782.16811.08872.95602.95603.2281
N32.33861.29671.48072.34382.11062.12482.12483.4049
C42.32002.19781.48071.49983.26141.10661.10662.3143
C51.30422.16812.34381.49983.18742.18462.18461.0912
H62.19591.08872.11063.26143.18743.96233.96234.2009
H73.08242.95602.12481.10662.18463.96231.78892.7514
H83.08242.95602.12481.10662.18463.96231.78892.7514
H92.10463.22813.40492.31431.09124.20092.75142.7514

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 116.661 N1 C2 H6 119.114
N1 C5 C4 111.473 N1 C5 H9 122.701
C2 N1 C5 103.749 C2 N3 C4 104.423
N3 C2 H6 124.225 N3 C4 C5 103.695
N3 C4 H7 109.574 N3 C4 H8 109.574
C4 C5 H9 125.826 C5 C4 H7 113.027
C5 C4 H8 113.027 H7 C4 H8 107.850
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.387      
2 C 0.099      
3 N -0.365      
4 C -0.419      
5 C 0.004      
6 H 0.253      
7 H 0.288      
8 H 0.288      
9 H 0.239      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.293 -2.173 0.000 2.192
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.862 -0.824 0.000
y -0.824 -23.462 0.000
z 0.000 0.000 -28.956
Traceless
 xyz
x -8.653 -0.824 0.000
y -0.824 8.447 0.000
z 0.000 0.000 0.206
Polar
3z2-r20.412
x2-y2-11.400
xy-0.824
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.615 -0.342 0.000
y -0.342 6.995 0.000
z 0.000 0.000 3.048


<r2> (average value of r2) Å2
<r2> 82.685
(<r2>)1/2 9.093