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

using model chemistry: PBE1PBE/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at PBE1PBE/6-31+G**
 hartrees
Energy at 0K-225.974415
Energy at 298.15K-225.980411
HF Energy-225.974415
Nuclear repulsion energy163.543698
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 PBE1PBE/6-31+G**
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' 3714 3548 67.48      
2 A' 3317 3169 0.59      
3 A' 3291 3144 0.89      
4 A' 3287 3140 3.98      
5 A' 1585 1514 14.12      
6 A' 1531 1463 22.76      
7 A' 1469 1404 13.72      
8 A' 1403 1341 7.56      
9 A' 1291 1233 0.79      
10 A' 1200 1146 3.75      
11 A' 1163 1111 3.50      
12 A' 1116 1066 31.18      
13 A' 1091 1042 32.15      
14 A' 945 903 2.43      
15 A' 906 865 5.85      
16 A" 877 838 5.26      
17 A" 821 784 43.37      
18 A" 736 703 48.00      
19 A" 684 653 3.69      
20 A" 647 618 15.05      
21 A" 542 517 99.50      

Unscaled Zero Point Vibrational Energy (zpe) 15807.6 cm-1
Scaled (by 0.9553) Zero Point Vibrational Energy (zpe) 15101.0 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 PBE1PBE/6-31+G**
ABC
0.32724 0.31450 0.16037

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31+G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.101 0.000
C2 -1.086 0.282 0.000
C3 1.116 0.301 0.000
N4 -0.739 -0.983 0.000
C5 0.632 -0.982 0.000
H6 -0.011 2.108 0.000
H7 -2.099 0.661 0.000
H8 2.117 0.704 0.000
H9 1.196 -1.904 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.36071.37322.21172.17731.00712.14512.15413.2349
C21.36072.20261.31212.13362.11921.08133.23143.1609
C31.37322.20262.25631.37152.12993.23541.07932.2068
N42.21171.31212.25631.37133.17602.13383.31762.1434
C52.17732.13361.37151.37133.15683.18762.24721.0809
H61.00712.11922.12993.17603.15682.54082.54974.1903
H72.14511.08133.23542.13383.18762.54084.21684.1762
H82.15413.23141.07933.31762.24722.54974.21682.7664
H93.23493.16092.20682.14341.08094.19034.17622.7664

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 111.664 N1 C2 H7 122.487
N1 C3 C5 104.982 N1 C3 H8 122.423
C2 N1 C3 107.346 C2 N1 H6 126.375
C2 N4 C5 105.308 C3 N1 H6 126.279
C3 C5 N4 110.699 C3 C5 H9 127.881
N4 C2 H7 125.849 N4 C5 H9 121.420
C5 C3 H8 132.595
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.353      
2 C 0.039      
3 C -0.115      
4 N -0.288      
5 C -0.117      
6 H 0.326      
7 H 0.169      
8 H 0.177      
9 H 0.161      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.190 3.711 0.000 3.897
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.719 -3.493 0.000
y -3.493 -25.740 0.000
z 0.000 0.000 -32.347
Traceless
 xyz
x 2.325 -3.493 0.000
y -3.493 3.793 0.000
z 0.000 0.000 -6.118
Polar
3z2-r2-12.236
x2-y2-0.979
xy-3.493
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.961 0.010 0.000
y 0.010 7.682 0.000
z 0.000 0.000 4.507


<r2> (average value of r2) Å2
<r2> 79.825
(<r2>)1/2 8.934