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

using model chemistry: B3PW91/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 B3PW91/cc-pVDZ
 hartrees
Energy at 0K-226.047593
Energy at 298.15K-226.053600
HF Energy-226.047593
Nuclear repulsion energy166.626304
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/cc-pVDZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 3228 3115 13.89      
2 A1 3066 2959 0.08      
3 A1 1730 1669 15.83      
4 A1 1412 1363 0.01      
5 A1 1353 1306 31.76      
6 A1 1267 1223 5.83      
7 A1 1041 1004 1.42      
8 A1 929 897 14.25      
9 A2 1128 1089 0.00      
10 A2 920 888 0.00      
11 A2 546 527 0.00      
12 B1 3111 3002 0.51      
13 B1 988 953 18.73      
14 B1 820 791 4.43      
15 B1 368 355 36.62      
16 B2 3212 3099 7.58      
17 B2 1798 1735 0.30      
18 B2 1396 1347 40.45      
19 B2 1221 1178 0.60      
20 B2 1081 1043 25.74      
21 B2 928 895 79.75      

Unscaled Zero Point Vibrational Energy (zpe) 15770.4 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 15218.4 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/cc-pVDZ
ABC
0.36216 0.30378 0.17061

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.199
N2 0.000 0.997 0.282
N3 0.000 -0.997 0.282
C4 0.000 0.727 -0.946
C5 0.000 -0.727 -0.946
H6 -0.896 0.000 1.841
H7 0.896 0.000 1.841
H8 0.000 1.483 -1.734
H9 0.000 -1.483 -1.734

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35421.35422.26532.26531.10221.10223.28683.2868
N21.35421.99311.25782.11662.05582.05582.07423.1957
N31.35421.99312.11661.25782.05582.05583.19572.0742
C42.26531.25782.11661.45403.01703.01701.09172.3460
C52.26532.11661.25781.45403.01703.01702.34601.0917
H61.10222.05582.05583.01703.01701.79173.97303.9730
H71.10222.05582.05583.01703.01701.79173.97303.9730
H83.28682.07423.19571.09172.34603.97303.97302.9655
H93.28683.19572.07422.34601.09173.97303.97302.9655

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 120.244 C1 N3 C5 120.244
N2 C1 N3 94.765 N2 C1 H6 113.232
N2 C1 H7 113.232 N2 C4 C5 102.373
N2 C4 H8 123.816 N3 C1 H6 113.232
N3 C1 H7 113.232 N3 C5 C4 102.373
N3 C5 H9 123.816 C4 C5 H9 133.811
C5 C4 H8 133.811 H6 C1 H7 108.737
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.163      
2 N -0.216      
3 N -0.216      
4 C 0.012      
5 C 0.012      
6 H 0.092      
7 H 0.092      
8 H 0.030      
9 H 0.030      


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 -0.480 0.480
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.873 0.000 0.000
y 0.000 -34.131 0.000
z 0.000 0.000 -21.700
Traceless
 xyz
x 0.042 0.000 0.000
y 0.000 -9.345 0.000
z 0.000 0.000 9.303
Polar
3z2-r218.605
x2-y26.258
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.571 0.000 0.000
y 0.000 5.177 0.000
z 0.000 0.000 8.027


<r2> (average value of r2) Å2
<r2> 76.960
(<r2>)1/2 8.773