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All results from a given calculation for C3H4N2 (4H-Imidazole)

using model chemistry: mPW1PW91/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at mPW1PW91/6-31G*
 hartrees
Energy at 0K-226.136304
Energy at 298.15K-226.142238
HF Energy-226.136304
Nuclear repulsion energy161.165446
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 mPW1PW91/6-31G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A' 3264 3095 15.33      
2 A' 3244 3076 9.62      
3 A' 3081 2922 1.09      
4 A' 1698 1610 45.40      
5 A' 1599 1516 13.28      
6 A' 1432 1358 20.89      
7 A' 1348 1278 26.96      
8 A' 1329 1261 6.09      
9 A' 1284 1218 6.73      
10 A' 1068 1012 54.42      
11 A' 1030 977 18.37      
12 A' 963 913 2.93      
13 A' 895 849 2.77      
14 A' 888 843 13.92      
15 A" 3120 2959 1.02      
16 A" 1177 1117 0.24      
17 A" 1014 962 11.08      
18 A" 972 921 0.72      
19 A" 760 720 6.11      
20 A" 572 543 22.61      
21 A" 370 351 8.62      

Unscaled Zero Point Vibrational Energy (zpe) 15553.9 cm-1
Scaled (by 0.9483) Zero Point Vibrational Energy (zpe) 14749.8 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 mPW1PW91/6-31G*
ABC
0.32346 0.29436 0.15863

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.196 0.361 0.000
C2 0.000 1.128 0.000
N3 1.116 0.500 0.000
C4 0.729 -0.896 0.000
C5 -0.765 -0.851 0.000
H6 -0.070 2.211 0.000
H7 1.138 -1.410 0.879
H8 1.138 -1.410 -0.879
H9 -1.435 -1.705 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.42132.31672.29921.28582.16603.05873.05872.0790
C21.42131.28112.15162.12161.08472.91762.91763.1759
N32.31671.28111.44852.31572.08202.10302.10303.3722
C42.29922.15161.44851.49473.20791.09761.09762.3109
C51.28582.12162.31571.49473.13932.16922.16921.0859
H62.16601.08472.08203.20793.13933.91713.91714.1467
H73.05872.91762.10301.09762.16923.91711.75882.7351
H83.05872.91762.10301.09762.16923.91711.75882.7351
H92.07903.17593.37222.31091.08594.14672.73512.7351

picture of 4H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N3 117.928 N1 C2 H6 118.997
N1 C5 C4 111.337 N1 C5 H9 122.243
C2 N1 C5 103.092 C2 N3 C4 103.877
N3 C2 H6 123.075 N3 C4 C5 103.765
N3 C4 H7 110.623 N3 C4 H8 110.623
C4 C5 H9 126.420 C5 C4 H7 112.707
C5 C4 H8 112.707 H7 C4 H8 106.495
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.384      
2 C 0.158      
3 N -0.372      
4 C -0.286      
5 C 0.045      
6 H 0.194      
7 H 0.225      
8 H 0.225      
9 H 0.194      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.025 -2.115 0.000 2.115
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.572 -0.624 0.000
y -0.624 -23.494 0.000
z 0.000 0.000 -28.487
Traceless
 xyz
x -8.581 -0.624 0.000
y -0.624 8.036 0.000
z 0.000 0.000 0.546
Polar
3z2-r21.091
x2-y2-11.078
xy-0.624
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.069 -0.367 0.000
y -0.367 7.175 0.000
z 0.000 0.000 3.424


<r2> (average value of r2) Å2
<r2> 80.887
(<r2>)1/2 8.994