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

using model chemistry: B3LYPultrafine/cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B3LYPultrafine/cc-pVDZ
 hartrees
Energy at 0K-226.129211
Energy at 298.15K-226.135214
HF Energy-226.129211
Nuclear repulsion energy166.359311
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 B3LYPultrafine/cc-pVDZ
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 3212 3116 15.36      
2 A1 3048 2956 0.03      
3 A1 1716 1664 18.04      
4 A1 1405 1363 0.03      
5 A1 1360 1319 25.90      
6 A1 1259 1221 5.77      
7 A1 1032 1001 2.33      
8 A1 925 897 13.64      
9 A2 1131 1097 0.00      
10 A2 920 893 0.00      
11 A2 546 530 0.00      
12 B1 3085 2993 0.05      
13 B1 994 964 17.42      
14 B1 821 796 3.78      
15 B1 366 355 34.70      
16 B2 3196 3100 8.91      
17 B2 1781 1728 0.25      
18 B2 1384 1343 40.73      
19 B2 1224 1188 0.72      
20 B2 1078 1046 25.84      
21 B2 931 903 76.80      

Unscaled Zero Point Vibrational Energy (zpe) 15706.6 cm-1
Scaled (by 0.97) Zero Point Vibrational Energy (zpe) 15235.4 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 B3LYPultrafine/cc-pVDZ
ABC
0.36131 0.30247 0.17002

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.203
N2 0.000 0.997 0.282
N3 0.000 -0.997 0.282
C4 0.000 0.729 -0.948
C5 0.000 -0.729 -0.948
H6 -0.897 0.000 1.845
H7 0.897 0.000 1.845
H8 0.000 1.485 -1.737
H9 0.000 -1.485 -1.737

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35721.35722.27152.27151.10301.10303.29313.2931
N21.35721.99381.25902.11962.05952.05952.07653.1987
N31.35721.99382.11961.25902.05952.05953.19872.0765
C42.27151.25902.11961.45843.02303.02301.09172.3499
C52.27152.11961.25901.45843.02303.02302.34991.0917
H61.10302.05952.05953.02303.02301.79373.97953.9795
H71.10302.05952.05953.02303.02301.79373.97953.9795
H83.29312.07653.19871.09172.34993.97953.97952.9691
H93.29313.19872.07652.34991.09173.97953.97952.9691

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 120.461 C1 N3 C5 120.461
N2 C1 N3 94.528 N2 C1 H6 113.269
N2 C1 H7 113.269 N2 C4 C5 102.275
N2 C4 H8 123.946 N3 C1 H6 113.269
N3 C1 H7 113.269 N3 C5 C4 102.275
N3 C5 H9 123.946 C4 C5 H9 133.779
C5 C4 H8 133.779 H6 C1 H7 108.797
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.182      
2 N -0.181      
3 N -0.181      
4 C 0.023      
5 C 0.023      
6 H 0.067      
7 H 0.067      
8 H 0.001      
9 H 0.001      


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 -0.477 0.477
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.977 0.000 0.000
y 0.000 -34.255 0.000
z 0.000 0.000 -22.109
Traceless
 xyz
x 0.206 0.000 0.000
y 0.000 -9.212 0.000
z 0.000 0.000 9.007
Polar
3z2-r218.013
x2-y26.278
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.577 0.000 0.000
y 0.000 5.181 0.000
z 0.000 0.000 8.081


<r2> (average value of r2) Å2
<r2> 77.295
(<r2>)1/2 8.792