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

using model chemistry: B3PW91/6-31G(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 B3PW91/6-31G(2df,p)
 hartrees
Energy at 0K-226.148822
Energy at 298.15K-226.154812
HF Energy-226.148822
Nuclear repulsion energy163.642661
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(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' 3693 3550 55.20      
2 A' 3292 3165 1.68      
3 A' 3261 3135 0.49      
4 A' 3258 3132 6.37      
5 A' 1569 1508 13.54      
6 A' 1519 1461 15.98      
7 A' 1450 1394 13.49      
8 A' 1382 1329 7.55      
9 A' 1284 1235 0.59      
10 A' 1184 1138 4.31      
11 A' 1156 1112 2.29      
12 A' 1108 1065 21.23      
13 A' 1085 1043 30.40      
14 A' 943 907 1.44      
15 A' 902 868 9.29      
16 A" 867 834 4.94      
17 A" 818 786 28.13      
18 A" 734 705 24.33      
19 A" 687 661 2.40      
20 A" 650 625 14.02      
21 A" 539 518 84.51      

Unscaled Zero Point Vibrational Energy (zpe) 15690.6 cm-1
Scaled (by 0.9614) Zero Point Vibrational Energy (zpe) 15085.0 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 B3PW91/6-31G(2df,p)
ABC
0.32771 0.31479 0.16056

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.101 0.000
C2 -1.085 0.282 0.000
C3 1.115 0.300 0.000
N4 -0.740 -0.983 0.000
C5 0.632 -0.981 0.000
H6 -0.009 2.106 0.000
H7 -2.096 0.664 0.000
H8 2.113 0.708 0.000
H9 1.196 -1.902 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.35951.37312.21162.17571.00522.14092.14893.2327
C21.35952.20051.31132.13182.11801.08073.22643.1584
C31.37312.20052.25581.36872.12743.23181.07802.2036
N42.21161.31132.25581.37253.17462.13383.31682.1435
C52.17572.13181.36871.37253.15283.18612.24631.0803
H61.00522.11802.12743.17463.15282.53652.54064.1856
H72.14091.08073.23182.13383.18612.53654.20904.1746
H82.14893.22641.07803.31682.24632.54064.20902.7670
H93.23273.15842.20362.14351.08034.18564.17462.7670

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 111.785 N1 C2 H7 122.222
N1 C3 C5 105.030 N1 C3 H8 122.034
C2 N1 C3 107.272 C2 N1 H6 126.537
C2 N4 C5 105.160 C3 N1 H6 126.191
C3 C5 N4 110.754 C3 C5 H9 127.878
N4 C2 H7 125.993 N4 C5 H9 121.368
C5 C3 H8 132.937
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.268      
2 C 0.021      
3 C -0.118      
4 N -0.273      
5 C -0.091      
6 H 0.290      
7 H 0.153      
8 H 0.152      
9 H 0.134      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.078 3.490 0.000 3.653
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -25.972 -3.055 0.000
y -3.055 -24.822 0.000
z 0.000 0.000 -30.847
Traceless
 xyz
x 1.862 -3.055 0.000
y -3.055 3.587 0.000
z 0.000 0.000 -5.449
Polar
3z2-r2-10.898
x2-y2-1.150
xy-3.055
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.296 -0.207 0.000
y -0.207 6.965 0.000
z 0.000 0.000 3.137


<r2> (average value of r2) Å2
<r2> 79.085
(<r2>)1/2 8.893