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

using model chemistry: B3LYP/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B3LYP/6-31G(2df,p)
 hartrees
Energy at 0K-226.132939
Energy at 298.15K-226.138967
HF Energy-226.132939
Nuclear repulsion energy166.829786
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 B3LYP/6-31G(2df,p)
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 3220 3107 17.11      
2 A1 3048 2941 0.37      
3 A1 1717 1657 21.61      
4 A1 1408 1359 2.97      
5 A1 1386 1337 18.83      
6 A1 1253 1209 5.21      
7 A1 1034 998 2.92      
8 A1 931 899 12.20      
9 A2 1145 1105 0.00      
10 A2 934 901 0.00      
11 A2 553 534 0.00      
12 B1 3080 2973 0.01      
13 B1 1012 977 16.49      
14 B1 833 804 2.66      
15 B1 375 362 36.07      
16 B2 3205 3092 9.64      
17 B2 1783 1720 0.00      
18 B2 1380 1332 31.35      
19 B2 1245 1201 1.08      
20 B2 1083 1045 27.52      
21 B2 936 903 76.48      

Unscaled Zero Point Vibrational Energy (zpe) 15780.5 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 15228.1 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 B3LYP/6-31G(2df,p)
ABC
0.36237 0.30471 0.17090

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.200
N2 0.000 0.997 0.280
N3 0.000 -0.997 0.280
C4 0.000 0.728 -0.944
C5 0.000 -0.728 -0.944
H6 -0.892 0.000 1.838
H7 0.892 0.000 1.838
H8 0.000 1.472 -1.732
H9 0.000 -1.472 -1.732

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35611.35612.26422.26421.09661.09663.28023.2802
N21.35611.99351.25362.11542.05312.05312.06733.1846
N31.35611.99352.11541.25362.05312.05313.18462.0673
C42.26421.25362.11541.45643.01103.01101.08312.3367
C52.26422.11541.25361.45643.01103.01102.33671.0831
H61.09662.05312.05313.01103.01101.78343.96283.9628
H71.09662.05312.05313.01103.01101.78343.96283.9628
H83.28022.06733.18461.08312.33673.96283.96282.9436
H93.28023.18462.06732.33671.08313.96283.96282.9436

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 120.320 C1 N3 C5 120.320
N2 C1 N3 94.619 N2 C1 H6 113.244
N2 C1 H7 113.244 N2 C4 C5 102.370
N2 C4 H8 124.272 N3 C1 H6 113.244
N3 C1 H7 113.244 N3 C5 C4 102.370
N3 C5 H9 124.272 C4 C5 H9 133.358
C5 C4 H8 133.358 H6 C1 H7 108.810
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.159      
2 N -0.114      
3 N -0.114      
4 C -0.101      
5 C -0.101      
6 H 0.163      
7 H 0.163      
8 H 0.131      
9 H 0.131      


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 -0.649 0.649
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.804 0.000 0.000
y 0.000 -34.148 0.000
z 0.000 0.000 -21.893
Traceless
 xyz
x 0.216 0.000 0.000
y 0.000 -9.299 0.000
z 0.000 0.000 9.083
Polar
3z2-r218.166
x2-y26.344
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.697 0.000 0.000
y 0.000 5.329 0.000
z 0.000 0.000 7.959


<r2> (average value of r2) Å2
<r2> 76.839
(<r2>)1/2 8.766