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All results from a given calculation for C3H4N2 (1H-Imidazole)

using model chemistry: B1B95/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B1B95/6-31G(2df,p)
 hartrees
Energy at 0K-226.141867
Energy at 298.15K-226.147887
HF Energy-226.141867
Nuclear repulsion energy164.201018
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 B1B95/6-31G(2df,p)
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' 3716 3559 59.42      
2 A' 3312 3172 1.71      
3 A' 3280 3141 0.68      
4 A' 3276 3138 6.87      
5 A' 1589 1522 14.01      
6 A' 1538 1473 17.25      
7 A' 1467 1405 13.95      
8 A' 1399 1340 8.40      
9 A' 1291 1237 0.71      
10 A' 1200 1149 4.53      
11 A' 1163 1114 2.55      
12 A' 1117 1069 22.53      
13 A' 1093 1047 27.60      
14 A' 943 903 1.41      
15 A' 901 863 8.86      
16 A" 878 841 3.94      
17 A" 831 796 25.59      
18 A" 746 714 24.70      
19 A" 690 661 1.85      
20 A" 654 626 16.17      
21 A" 551 528 83.06      

Unscaled Zero Point Vibrational Energy (zpe) 15817.4 cm-1
Scaled (by 0.9577) Zero Point Vibrational Energy (zpe) 15148.4 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 B1B95/6-31G(2df,p)
ABC
0.33009 0.31686 0.16167

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.100 0.000
C2 -1.079 0.279 0.000
C3 1.111 0.297 0.000
N4 -0.740 -0.980 0.000
C5 0.632 -0.978 0.000
H6 -0.011 2.103 0.000
H7 -2.088 0.662 0.000
H8 2.108 0.702 0.000
H9 1.192 -1.898 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.35621.37072.20742.17201.00292.13382.14503.2268
C21.35622.19051.30332.12302.11411.07923.21513.1465
C31.37072.19052.24891.36262.12563.22011.07572.1973
N42.20741.30332.24891.37173.16762.12403.30732.1397
C52.17202.12301.36261.37173.14723.17602.23651.0777
H61.00292.11412.12563.16763.14722.52872.53974.1782
H72.13381.07923.22012.12403.17602.52874.19634.1612
H82.14503.21511.07573.30732.23652.53974.19632.7569
H93.22683.14652.19732.13971.07774.17824.16122.7569

picture of 1H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N4 112.181 N1 C2 H7 121.956
N1 C3 C5 105.243 N1 C3 H8 122.055
C2 N1 C3 106.888 C2 N1 H6 126.663
C2 N4 C5 105.023 C3 N1 H6 126.449
C3 C5 N4 110.665 C3 C5 H9 128.052
N4 C2 H7 125.863 N4 C5 H9 121.283
C5 C3 H8 132.702
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B1B95/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.277      
2 C 0.044      
3 C -0.097      
4 N -0.279      
5 C -0.075      
6 H 0.282      
7 H 0.140      
8 H 0.140      
9 H 0.121      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.071 3.483 0.000 3.644
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -25.975 -3.021 0.000
y -3.021 -24.818 0.000
z 0.000 0.000 -30.787
Traceless
 xyz
x 1.828 -3.021 0.000
y -3.021 3.563 0.000
z 0.000 0.000 -5.391
Polar
3z2-r2-10.782
x2-y2-1.156
xy-3.021
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.224 -0.211 0.000
y -0.211 6.906 0.000
z 0.000 0.000 3.116


<r2> (average value of r2) Å2
<r2> 78.653
(<r2>)1/2 8.869