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

using model chemistry: B3PW91/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B3PW91/3-21G
 hartrees
Energy at 0K-224.876214
Energy at 298.15K-224.882311
HF Energy-224.876214
Nuclear repulsion energy161.823104
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 B3PW91/3-21G
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' 3615 3475 58.66      
2 A' 3327 3198 0.86      
3 A' 3303 3175 0.15      
4 A' 3300 3172 3.24      
5 A' 1538 1478 21.50      
6 A' 1470 1413 6.13      
7 A' 1402 1348 11.28      
8 A' 1333 1281 10.59      
9 A' 1282 1232 1.03      
10 A' 1160 1115 0.87      
11 A' 1120 1076 17.39      
12 A' 1097 1055 15.41      
13 A' 1059 1018 25.74      
14 A' 964 927 3.43      
15 A' 921 885 10.71      
16 A" 922 886 3.04      
17 A" 856 822 25.97      
18 A" 780 749 37.48      
19 A" 688 661 2.76      
20 A" 666 640 125.96      
21 A" 648 623 59.09      

Unscaled Zero Point Vibrational Energy (zpe) 15725.4 cm-1
Scaled (by 0.9612) Zero Point Vibrational Energy (zpe) 15115.2 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 B3PW91/3-21G
ABC
0.31798 0.30966 0.15688

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/3-21G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.113 0.000
C2 -1.106 0.288 0.000
C3 1.127 0.298 0.000
N4 -0.750 -0.991 0.000
C5 0.649 -0.991 0.000
H6 0.001 2.125 0.000
H7 -2.115 0.664 0.000
H8 2.128 0.693 0.000
H9 1.211 -1.909 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.38041.39102.23442.20191.01182.16172.16883.2556
C21.38042.23321.32772.17152.14541.07653.25923.1924
C31.39102.23322.27721.37442.14603.26221.07592.2084
N42.23441.32772.27721.39913.20582.14573.33442.1644
C52.20192.17151.37441.39913.18243.22142.24071.0762
H61.01182.14542.14603.20583.18242.57112.56364.2113
H72.16171.07653.26222.14573.22142.57114.24234.2045
H82.16883.25921.07593.33442.24072.56364.24232.7589
H93.25563.19242.20842.16441.07624.21134.20452.7589

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 111.177 N1 C2 H7 122.769
N1 C3 C5 105.541 N1 C3 H8 122.570
C2 N1 C3 107.375 C2 N1 H6 126.817
C2 N4 C5 105.532 C3 N1 H6 125.808
C3 C5 N4 110.376 C3 C5 H9 128.222
N4 C2 H7 126.053 N4 C5 H9 121.402
C5 C3 H8 131.889
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.728      
2 C 0.264      
3 C 0.014      
4 N -0.512      
5 C -0.095      
6 H 0.347      
7 H 0.248      
8 H 0.237      
9 H 0.224      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.219 3.705 0.000 3.900
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -25.846 -3.385 0.000
y -3.385 -25.044 0.000
z 0.000 0.000 -31.842
Traceless
 xyz
x 2.597 -3.385 0.000
y -3.385 3.799 0.000
z 0.000 0.000 -6.397
Polar
3z2-r2-12.793
x2-y2-0.801
xy-3.385
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.571 -0.269 0.000
y -0.269 6.266 0.000
z 0.000 0.000 1.918


<r2> (average value of r2) Å2
<r2> 80.672
(<r2>)1/2 8.982