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

using model chemistry: B3PW91/6-311+G(3df,2p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B3PW91/6-311+G(3df,2p)
 hartrees
Energy at 0K-226.112972
Energy at 298.15K-226.119002
HF Energy-226.112972
Nuclear repulsion energy167.245883
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 B3PW91/6-311+G(3df,2p)
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 3216 3079 14.98      
2 A1 3052 2922 0.28      
3 A1 1705 1633 20.85      
4 A1 1408 1348 0.00      
5 A1 1377 1318 34.88      
6 A1 1254 1201 4.91      
7 A1 1038 994 1.11      
8 A1 936 896 10.43      
9 A2 1142 1093 0.00      
10 A2 930 890 0.00      
11 A2 549 526 0.00      
12 B1 3086 2954 1.71      
13 B1 999 957 21.49      
14 B1 830 794 4.98      
15 B1 375 359 37.78      
16 B2 3202 3065 4.44      
17 B2 1778 1702 0.53      
18 B2 1387 1328 34.46      
19 B2 1240 1187 1.49      
20 B2 1081 1035 34.99      
21 B2 933 893 69.87      

Unscaled Zero Point Vibrational Energy (zpe) 15759.3 cm-1
Scaled (by 0.9573) Zero Point Vibrational Energy (zpe) 15086.4 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 B3PW91/6-311+G(3df,2p)
ABC
0.36385 0.30663 0.17182

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-311+G(3df,2p)

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 0.724 -0.941
C5 0.000 -0.724 -0.941
H6 -0.890 0.000 1.831
H7 0.890 0.000 1.831
H8 0.000 1.467 -1.728
H9 0.000 -1.467 -1.728

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35271.35272.25592.25591.09421.09423.27053.2705
N21.35271.99281.25142.11022.04732.04732.06243.1782
N31.35271.99282.11021.25142.04732.04733.17822.0624
C42.25591.25142.11021.44873.00083.00081.08182.3284
C52.25592.11021.25141.44873.00083.00082.32841.0818
H61.09422.04732.04733.00083.00081.78033.95133.9513
H71.09422.04732.04733.00083.00081.78033.95133.9513
H83.27052.06243.17821.08182.32843.95133.95132.9344
H93.27053.17822.06242.32841.08183.95133.95132.9344

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 120.004 C1 N3 C5 120.004
N2 C1 N3 94.880 N2 C1 H6 113.160
N2 C1 H7 113.160 N2 C4 C5 102.556
N2 C4 H8 124.076 N3 C1 H6 113.160
N3 C1 H7 113.160 N3 C5 C4 102.556
N3 C5 H9 124.076 C4 C5 H9 133.368
C5 C4 H8 133.368 H6 C1 H7 108.887
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.740      
2 N -1.004      
3 N -1.004      
4 C 0.329      
5 C 0.329      
6 H 0.139      
7 H 0.139      
8 H 0.167      
9 H 0.167      


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 -0.813 0.813
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.473 0.000 0.000
y 0.000 -35.704 0.000
z 0.000 0.000 -21.673
Traceless
 xyz
x 0.215 0.000 0.000
y 0.000 -10.631 0.000
z 0.000 0.000 10.415
Polar
3z2-r220.831
x2-y27.231
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.869 0.000 0.000
y 0.000 7.099 0.000
z 0.000 0.000 8.640


<r2> (average value of r2) Å2
<r2> 76.938
(<r2>)1/2 8.771