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

using model chemistry: B3LYP/SDD

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B3LYP/SDD
 hartrees
Energy at 0K-226.174312
Energy at 298.15K-226.180348
HF Energy-226.174312
Nuclear repulsion energy161.003546
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 B3LYP/SDD
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' 3683 3540 52.16      
2 A' 3328 3199 2.47      
3 A' 3308 3180 2.36      
4 A' 3298 3170 3.38      
5 A' 1537 1478 15.39      
6 A' 1478 1421 11.87      
7 A' 1402 1348 15.48      
8 A' 1354 1302 7.15      
9 A' 1278 1229 0.74      
10 A' 1164 1119 0.27      
11 A' 1135 1091 7.83      
12 A' 1099 1057 23.82      
13 A' 1065 1024 47.18      
14 A' 943 907 3.74      
15 A' 906 870 7.88      
16 A" 892 857 1.88      
17 A" 824 792 54.04      
18 A" 765 736 60.75      
19 A" 679 653 7.95      
20 A" 664 638 127.91      
21 A" 628 603 31.06      

Unscaled Zero Point Vibrational Energy (zpe) 15714.4 cm-1
Scaled (by 0.9613) Zero Point Vibrational Energy (zpe) 15106.3 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 B3LYP/SDD
ABC
0.31515 0.30593 0.15524

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/SDD

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.120 0.000
C2 -1.112 0.290 0.000
C3 1.134 0.304 0.000
N4 -0.750 -0.997 0.000
C5 0.651 -0.999 0.000
H6 -0.007 2.131 0.000
H7 -2.126 0.659 0.000
H8 2.137 0.700 0.000
H9 1.208 -1.922 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.38711.39732.24612.21611.01092.17482.17773.2732
C21.38712.24571.33702.18312.14681.07923.27413.2056
C31.39732.24572.28991.38922.15393.27901.07822.2270
N42.24611.33702.28991.40093.21512.15303.34902.1662
C52.21612.18311.38921.40093.19763.23362.25701.0789
H61.01092.14682.15393.21513.19762.57972.57714.2310
H72.17481.07923.27902.15303.23362.57974.26264.2166
H82.17773.27411.07823.34902.25702.57714.26262.7815
H93.27323.20562.22702.16621.07894.23104.21662.7815

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 111.070 N1 C2 H7 123.248
N1 C3 C5 105.369 N1 C3 H8 122.698
C2 N1 C3 107.519 C2 N1 H6 126.370
C2 N4 C5 105.732 C3 N1 H6 126.111
C3 C5 N4 110.310 C3 C5 H9 128.491
N4 C2 H7 125.682 N4 C5 H9 121.199
C5 C3 H8 131.933
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/SDD Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.331      
2 C -0.184      
3 C -0.200      
4 N -0.097      
5 C -0.265      
6 H 0.312      
7 H 0.255      
8 H 0.260      
9 H 0.250      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.381 3.906 0.000 4.143
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.526 -3.814 0.000
y -3.814 -25.846 0.000
z 0.000 0.000 -32.253
Traceless
 xyz
x 2.523 -3.814 0.000
y -3.814 3.544 0.000
z 0.000 0.000 -6.067
Polar
3z2-r2-12.134
x2-y2-0.681
xy-3.814
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.120 -0.110 0.000
y -0.110 6.963 0.000
z 0.000 0.000 2.834


<r2> (average value of r2) Å2
<r2> 81.714
(<r2>)1/2 9.040