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All results from a given calculation for C3H4N2 (2H-Imidazole)

using model chemistry: B3PW91/TZVP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B3PW91/TZVP
 hartrees
Energy at 0K-226.107353
Energy at 298.15K-226.113374
HF Energy-226.107353
Nuclear repulsion energy167.205238
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/TZVP
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1 3226 3111 13.95      
2 A1 3062 2952 0.26      
3 A1 1711 1650 20.31      
4 A1 1409 1359 0.03      
5 A1 1377 1328 36.38      
6 A1 1255 1210 5.81      
7 A1 1040 1002 1.97      
8 A1 935 902 11.36      
9 A2 1141 1101 0.00      
10 A2 915 883 0.00      
11 A2 550 530 0.00      
12 B1 3098 2987 1.14      
13 B1 1005 969 19.71      
14 B1 830 800 5.05      
15 B1 367 354 41.50      
16 B2 3212 3097 5.60      
17 B2 1784 1720 0.78      
18 B2 1387 1337 34.15      
19 B2 1243 1199 0.64      
20 B2 1083 1044 35.00      
21 B2 933 900 72.06      

Unscaled Zero Point Vibrational Energy (zpe) 15780.9 cm-1
Scaled (by 0.9643) Zero Point Vibrational Energy (zpe) 15217.5 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 B3PW91/TZVP
ABC
0.36366 0.30649 0.17174

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/TZVP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.195
N2 0.000 0.996 0.280
N3 0.000 -0.996 0.280
C4 0.000 0.725 -0.942
C5 0.000 -0.725 -0.942
H6 -0.891 0.000 1.831
H7 0.891 0.000 1.831
H8 0.000 1.469 -1.728
H9 0.000 -1.469 -1.728

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35271.35272.25642.25641.09471.09473.27143.2714
N21.35271.99271.25182.11082.04742.04742.06303.1796
N31.35271.99272.11081.25182.04742.04743.17962.0630
C42.25641.25182.11081.44933.00133.00131.08252.3301
C52.25642.11081.25181.44933.00133.00132.33011.0825
H61.09472.04742.04743.00133.00131.78193.95203.9520
H71.09472.04742.04743.00133.00131.78193.95203.9520
H83.27142.06303.17961.08252.33013.95203.95202.9377
H93.27143.17962.06302.33011.08253.95203.95202.9377

picture of 2H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 N2 C4 120.024 C1 N3 C5 120.024
N2 C1 N3 94.881 N2 C1 H6 113.139
N2 C1 H7 113.139 N2 C4 C5 102.535
N2 C4 H8 124.037 N3 C1 H6 113.139
N3 C1 H7 113.139 N3 C5 C4 102.535
N3 C5 H9 124.037 C4 C5 H9 133.428
C5 C4 H8 133.428 H6 C1 H7 108.958
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.263      
2 N -0.079      
3 N -0.079      
4 C -0.092      
5 C -0.092      
6 H 0.184      
7 H 0.184      
8 H 0.119      
9 H 0.119      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 -0.710 0.710
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.249 0.000 0.000
y 0.000 -35.645 0.000
z 0.000 0.000 -21.704
Traceless
 xyz
x 0.426 0.000 0.000
y 0.000 -10.668 0.000
z 0.000 0.000 10.242
Polar
3z2-r220.485
x2-y27.396
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.293 0.000 0.000
y 0.000 5.981 0.000
z 0.000 0.000 8.404


<r2> (average value of r2) Å2
<r2> 76.914
(<r2>)1/2 8.770