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

using model chemistry: PBE1PBE/6-31G

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/6-31G
 hartrees
Energy at 0K-225.880516
Energy at 298.15K-225.886634
HF Energy-225.880516
Nuclear repulsion energy162.359823
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/6-31G
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' 3731 3566 56.01      
2 A' 3359 3211 1.21      
3 A' 3343 3195 1.15      
4 A' 3333 3186 2.48      
5 A' 1582 1512 19.34      
6 A' 1518 1451 12.96      
7 A' 1456 1392 15.93      
8 A' 1387 1325 9.99      
9 A' 1301 1243 0.55      
10 A' 1186 1134 0.26      
11 A' 1167 1116 10.16      
12 A' 1130 1080 18.64      
13 A' 1090 1042 36.04      
14 A' 965 922 3.56      
15 A' 927 886 7.77      
16 A" 913 873 5.07      
17 A" 839 802 25.87      
18 A" 776 741 28.44      
19 A" 693 662 22.76      
20 A" 682 652 167.61      
21 A" 650 621 13.25      

Unscaled Zero Point Vibrational Energy (zpe) 16013.3 cm-1
Scaled (by 0.9559) Zero Point Vibrational Energy (zpe) 15307.1 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/6-31G
ABC
0.32032 0.31158 0.15794

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.109 0.000
C2 -1.105 0.292 0.000
C3 1.126 0.295 0.000
N4 -0.746 -0.981 0.000
C5 0.647 -0.995 0.000
H6 -0.004 2.114 0.000
H7 -2.115 0.668 0.000
H8 2.127 0.692 0.000
H9 1.202 -1.918 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.37391.38982.21872.20111.00482.16042.16753.2568
C21.37392.23101.32222.17352.12841.07823.25633.1944
C31.38982.23102.26541.37602.14173.26291.07652.2140
N42.21871.32222.26541.39283.18212.14333.32432.1617
C52.20112.17351.37601.39283.17623.22412.24411.0771
H61.00482.12842.14173.18213.17622.55842.56194.2083
H72.16041.07823.26292.14333.22412.55844.24214.2062
H82.16753.25631.07653.32432.24412.56194.24212.7689
H93.25683.19442.21402.16171.07714.20834.20622.7689

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 110.743 N1 C2 H7 123.082
N1 C3 C5 105.466 N1 C3 H8 122.491
C2 N1 C3 107.653 C2 N1 H6 126.253
C2 N4 C5 106.331 C3 N1 H6 126.094
C3 C5 N4 109.807 C3 C5 H9 128.578
N4 C2 H7 126.175 N4 C5 H9 121.615
C5 C3 H8 132.043
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.727      
2 C 0.232      
3 C 0.080      
4 N -0.426      
5 C -0.108      
6 H 0.357      
7 H 0.204      
8 H 0.202      
9 H 0.184      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.344 3.820 0.000 4.049
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.179 -3.641 0.000
y -3.641 -25.570 0.000
z 0.000 0.000 -31.673
Traceless
 xyz
x 2.442 -3.641 0.000
y -3.641 3.356 0.000
z 0.000 0.000 -5.798
Polar
3z2-r2-11.596
x2-y2-0.609
xy-3.641
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.896 -0.186 0.000
y -0.186 6.659 0.000
z 0.000 0.000 2.372


<r2> (average value of r2) Å2
<r2> 80.409
(<r2>)1/2 8.967