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

using model chemistry: PBE1PBE/6-311G*

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/6-311G*
 hartrees
Energy at 0K-226.003744
Energy at 298.15K-226.009742
HF Energy-226.003744
Nuclear repulsion energy163.849999
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/6-311G*
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' 3708 3554 45.80      
2 A' 3297 3160 2.98      
3 A' 3269 3133 1.77      
4 A' 3264 3128 8.51      
5 A' 1588 1522 14.97      
6 A' 1533 1470 18.62      
7 A' 1474 1413 13.27      
8 A' 1397 1339 7.22      
9 A' 1290 1237 0.58      
10 A' 1197 1148 3.98      
11 A' 1163 1115 2.31      
12 A' 1114 1068 29.62      
13 A' 1090 1045 32.37      
14 A' 953 913 2.42      
15 A' 912 874 8.17      
16 A" 865 829 5.94      
17 A" 814 781 38.86      
18 A" 724 694 39.81      
19 A" 691 663 4.60      
20 A" 655 628 15.08      
21 A" 542 519 103.12      

Unscaled Zero Point Vibrational Energy (zpe) 15770.0 cm-1
Scaled (by 0.9585) Zero Point Vibrational Energy (zpe) 15115.5 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/6-311G*
ABC
0.32865 0.31554 0.16098

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-311G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.100 0.000
C2 -1.084 0.280 0.000
C3 1.114 0.300 0.000
N4 -0.739 -0.981 0.000
C5 0.631 -0.979 0.000
H6 -0.008 2.105 0.000
H7 -2.096 0.659 0.000
H8 2.114 0.705 0.000
H9 1.193 -1.903 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.35861.37182.20822.17271.00512.14182.15043.2305
C21.35862.19801.30792.12752.11791.08103.22573.1538
C31.37182.19802.25261.36742.12563.23041.07872.2036
N42.20821.30792.25261.36953.17132.12933.31382.1398
C52.17272.12751.36741.36953.14973.18142.24441.0806
H61.00512.11792.12563.17133.14972.53942.54214.1833
H72.14181.08103.23042.12933.18142.53944.21024.1687
H82.15043.22571.07873.31382.24442.54214.21022.7656
H93.23053.15382.20362.13981.08064.18334.16872.7656

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 111.803 N1 C2 H7 122.380
N1 C3 C5 104.971 N1 C3 H8 122.246
C2 N1 C3 107.227 C2 N1 H6 126.633
C2 N4 C5 105.216 C3 N1 H6 126.140
C3 C5 N4 110.782 C3 C5 H9 127.973
N4 C2 H7 125.817 N4 C5 H9 121.245
C5 C3 H8 132.782
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.520      
2 C 0.081      
3 C -0.080      
4 N -0.314      
5 C -0.190      
6 H 0.360      
7 H 0.227      
8 H 0.226      
9 H 0.210      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.105 3.649 0.000 3.813
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.237 -3.219 0.000
y -3.219 -25.078 0.000
z 0.000 0.000 -31.796
Traceless
 xyz
x 2.200 -3.219 0.000
y -3.219 3.939 0.000
z 0.000 0.000 -6.139
Polar
3z2-r2-12.277
x2-y2-1.159
xy-3.219
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.265 -0.160 0.000
y -0.160 6.947 0.000
z 0.000 0.000 3.296


<r2> (average value of r2) Å2
<r2> 79.244
(<r2>)1/2 8.902