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

using model chemistry: B3LYPultrafine/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 B3LYPultrafine/6-31+G**
 hartrees
Energy at 0K-226.235386
Energy at 298.15K-226.241334
HF Energy-226.235386
Nuclear repulsion energy162.890322
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 B3LYPultrafine/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' 3668 3531 57.51      
2 A' 3291 3168 1.25      
3 A' 3266 3144 0.92      
4 A' 3262 3140 4.63      
5 A' 1563 1505 12.33      
6 A' 1506 1449 23.15      
7 A' 1438 1385 16.20      
8 A' 1374 1323 6.69      
9 A' 1286 1238 0.50      
10 A' 1167 1123 4.45      
11 A' 1150 1107 3.81      
12 A' 1099 1058 22.81      
13 A' 1077 1037 38.92      
14 A' 941 906 2.19      
15 A' 904 870 6.46      
16 A" 868 836 5.60      
17 A" 810 780 43.30      
18 A" 726 699 42.90      
19 A" 677 651 4.89      
20 A" 639 615 11.96      
21 A" 519 500 98.19      

Unscaled Zero Point Vibrational Energy (zpe) 15614.7 cm-1
Scaled (by 0.9627) Zero Point Vibrational Energy (zpe) 15032.3 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 B3LYPultrafine/6-31+G**
ABC
0.32407 0.31233 0.15905

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/6-31+G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.107 0.000
C2 -1.093 0.283 0.000
C3 1.121 0.300 0.000
N4 -0.742 -0.986 0.000
C5 0.636 -0.986 0.000
H6 -0.010 2.116 0.000
H7 -2.105 0.662 0.000
H8 2.122 0.704 0.000
H9 1.199 -1.909 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.36841.38132.22072.18741.00902.15172.16013.2451
C21.36842.21401.31652.14482.12841.08103.24213.1709
C31.38132.21402.26451.37452.13933.24661.07902.2102
N42.22071.31652.26451.37893.18702.13823.32572.1494
C52.18742.14481.37451.37893.16843.19862.24981.0806
H61.00902.12842.13933.18703.16842.55002.55774.2021
H72.15171.08103.24662.13823.19862.55004.22754.1861
H82.16013.24211.07903.32572.24982.55774.22752.7705
H93.24513.17092.21022.14941.08064.20214.18612.7705

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 111.588 N1 C2 H7 122.482
N1 C3 C5 105.076 N1 C3 H8 122.321
C2 N1 C3 107.256 C2 N1 H6 126.425
C2 N4 C5 105.423 C3 N1 H6 126.320
C3 C5 N4 110.658 C3 C5 H9 127.977
N4 C2 H7 125.930 N4 C5 H9 121.365
C5 C3 H8 132.604
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.354      
2 C 0.094      
3 C -0.073      
4 N -0.317      
5 C -0.069      
6 H 0.302      
7 H 0.141      
8 H 0.146      
9 H 0.131      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.203 3.679 0.000 3.870
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.089 -3.514 0.000
y -3.514 -26.147 0.000
z 0.000 0.000 -32.470
Traceless
 xyz
x 2.219 -3.514 0.000
y -3.514 3.633 0.000
z 0.000 0.000 -5.852
Polar
3z2-r2-11.705
x2-y2-0.942
xy-3.514
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.139 0.019 0.000
y 0.019 7.858 0.000
z 0.000 0.000 4.645


<r2> (average value of r2) Å2
<r2> 80.499
(<r2>)1/2 8.972