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

using model chemistry: B3PW91/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B3PW91/6-31G*
 hartrees
Energy at 0K-226.105689
Energy at 298.15K-226.111600
HF Energy-226.105689
Nuclear repulsion energy160.859189
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 B3PW91/6-31G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A' 3242 3102 16.14      
2 A' 3222 3082 10.45      
3 A' 3061 2929 1.24      
4 A' 1679 1606 43.78      
5 A' 1580 1511 12.07      
6 A' 1423 1362 20.96      
7 A' 1338 1280 25.63      
8 A' 1319 1262 5.70      
9 A' 1274 1219 7.25      
10 A' 1056 1010 54.73      
11 A' 1018 974 16.68      
12 A' 955 913 3.13      
13 A' 888 850 2.40      
14 A' 882 844 14.00      
15 A" 3099 2964 1.22      
16 A" 1169 1118 0.24      
17 A" 1005 962 10.92      
18 A" 962 921 0.67      
19 A" 753 721 6.38      
20 A" 569 544 21.85      
21 A" 368 352 8.72      

Unscaled Zero Point Vibrational Energy (zpe) 15431.1 cm-1
Scaled (by 0.9567) Zero Point Vibrational Energy (zpe) 14762.9 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 B3PW91/6-31G*
ABC
0.32229 0.29320 0.15803

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.199 0.361 0.000
C2 0.000 1.130 0.000
N3 1.119 0.501 0.000
C4 0.730 -0.898 0.000
C5 -0.766 -0.852 0.000
H6 -0.070 2.214 0.000
H7 1.140 -1.413 0.880
H8 1.140 -1.413 -0.880
H9 -1.438 -1.707 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.42402.32182.30341.28862.16953.06463.06462.0827
C21.42401.28392.15542.12541.08642.92272.92273.1813
N32.32181.28391.45162.32052.08582.10672.10673.3787
C42.30342.15541.45161.49693.21331.09931.09932.3146
C51.28862.12542.32051.49693.14472.17292.17291.0876
H62.16951.08642.08583.21333.14473.92393.92394.1535
H73.06462.92272.10671.09932.17293.92391.76082.7400
H83.06462.92272.10671.09932.17293.92391.76082.7400
H92.08273.18133.37872.31461.08764.15352.74002.7400

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 117.968 N1 C2 H6 118.975
N1 C5 C4 111.349 N1 C5 H9 122.216
C2 N1 C5 103.063 C2 N3 C4 103.816
N3 C2 H6 123.057 N3 C4 C5 103.804
N3 C4 H7 110.596 N3 C4 H8 110.596
C4 C5 H9 126.435 C5 C4 H7 112.747
C5 C4 H8 112.747 H7 C4 H8 106.429
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.377      
2 C 0.155      
3 N -0.365      
4 C -0.280      
5 C 0.047      
6 H 0.189      
7 H 0.221      
8 H 0.221      
9 H 0.189      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.037 -2.107 0.000 2.107
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.546 -0.630 0.000
y -0.630 -23.537 0.000
z 0.000 0.000 -28.480
Traceless
 xyz
x -8.538 -0.630 0.000
y -0.630 7.976 0.000
z 0.000 0.000 0.561
Polar
3z2-r21.123
x2-y2-11.009
xy-0.630
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.115 -0.358 0.000
y -0.358 7.238 0.000
z 0.000 0.000 3.441


<r2> (average value of r2) Å2
<r2> 81.126
(<r2>)1/2 9.007