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

using model chemistry: B2PLYP/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B2PLYP/6-31G
 hartrees
Energy at 0K-225.709161
Energy at 298.15K-225.715214
HF Energy-225.547109
Nuclear repulsion energy165.190410
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 B2PLYP/6-31G
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 3308 3308 9.42      
2 A1 3120 3120 0.79      
3 A1 1672 1672 26.28      
4 A1 1481 1481 18.71      
5 A1 1386 1386 2.46      
6 A1 1260 1260 7.72      
7 A1 1044 1044 8.01      
8 A1 940 940 8.32      
9 A2 1171 1171 0.00      
10 A2 894 894 0.00      
11 A2 561 561 0.00      
12 B1 3169 3169 0.10      
13 B1 1058 1058 16.14      
14 B1 831 831 11.37      
15 B1 389 389 51.38      
16 B2 3292 3292 7.92      
17 B2 1727 1727 0.23      
18 B2 1362 1362 11.68      
19 B2 1282 1282 3.15      
20 B2 1084 1084 37.19      
21 B2 963 963 78.02      

Unscaled Zero Point Vibrational Energy (zpe) 15995.9 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15995.9 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 B2PLYP/6-31G
ABC
0.35958 0.29535 0.16733

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/6-31G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.224
N2 0.000 0.998 0.284
N3 0.000 -0.998 0.284
C4 0.000 0.735 -0.962
C5 0.000 -0.735 -0.962
H6 -0.893 0.000 1.852
H7 0.893 0.000 1.852
H8 0.000 1.478 -1.743
H9 0.000 -1.478 -1.743

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.37051.37052.30562.30561.09211.09213.31483.3148
N21.37051.99631.27362.13472.06202.06202.08393.2006
N31.37051.99632.13471.27362.06202.06203.20062.0839
C42.30561.27362.13471.47013.04233.04231.07852.3472
C52.30562.13471.27361.47013.04233.04232.34721.0785
H61.09212.06202.06203.04233.04231.78633.98883.9888
H71.09212.06202.06203.04233.04231.78633.98883.9888
H83.31482.08393.20061.07852.34723.98883.98882.9563
H93.31483.20062.08392.34721.07853.98883.98882.9563

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 121.335 C1 N3 C5 121.335
N2 C1 N3 93.487 N2 C1 H6 113.227
N2 C1 H7 113.227 N2 C4 C5 101.922
N2 C4 H8 124.529 N3 C1 H6 113.227
N3 C1 H7 113.227 N3 C5 C4 101.922
N3 C5 H9 124.529 C4 C5 H9 133.550
C5 C4 H8 133.550 H6 C1 H7 109.729
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.066      
2 N -0.380      
3 N -0.380      
4 C -0.003      
5 C -0.003      
6 H 0.234      
7 H 0.234      
8 H 0.181      
9 H 0.181      


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 -0.625 0.625
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.348 0.000 0.000
y 0.000 -36.421 0.000
z 0.000 0.000 -21.717
Traceless
 xyz
x 0.720 0.000 0.000
y 0.000 -11.388 0.000
z 0.000 0.000 10.668
Polar
3z2-r221.336
x2-y28.072
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.169 0.000 0.000
y 0.000 4.694 0.000
z 0.000 0.000 7.719


<r2> (average value of r2) Å2
<r2> 78.557
(<r2>)1/2 8.863