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

using model chemistry: B1B95/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B1B95/6-31G(2df,p)
 hartrees
Energy at 0K-226.112367
Energy at 298.15K-226.118299
HF Energy-226.112367
Nuclear repulsion energy161.635518
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 B1B95/6-31G(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 A' 3235 3099 13.93      
2 A' 3218 3081 9.81      
3 A' 3063 2933 1.33      
4 A' 1692 1621 46.12      
5 A' 1594 1526 13.04      
6 A' 1392 1333 19.67      
7 A' 1336 1279 28.94      
8 A' 1314 1259 5.11      
9 A' 1261 1208 6.17      
10 A' 1065 1020 49.60      
11 A' 1028 985 19.28      
12 A' 957 917 3.03      
13 A' 888 851 3.64      
14 A' 882 845 15.00      
15 A" 3102 2971 0.50      
16 A" 1160 1111 0.39      
17 A" 1011 969 8.52      
18 A" 975 934 2.44      
19 A" 750 718 3.89      
20 A" 568 544 20.52      
21 A" 365 349 6.99      

Unscaled Zero Point Vibrational Energy (zpe) 15428.4 cm-1
Scaled (by 0.9577) Zero Point Vibrational Energy (zpe) 14775.7 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 B1B95/6-31G(2df,p)
ABC
0.32518 0.29627 0.15957

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.193 0.358 0.000
C2 0.000 1.126 0.000
N3 1.113 0.500 0.000
C4 0.727 -0.892 0.000
C5 -0.761 -0.848 0.000
H6 -0.072 2.206 0.000
H7 1.134 -1.409 0.876
H8 1.134 -1.409 -0.876
H9 -1.428 -1.703 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.41852.30982.29141.28142.16133.05033.05032.0746
C21.41851.27672.14512.11581.08282.91192.91193.1687
N32.30981.27671.44422.30832.07742.10042.10043.3623
C42.29142.14511.44421.48923.19991.09551.09552.3025
C51.28142.11582.30831.48923.13122.16182.16181.0839
H62.16131.08282.07743.19993.13123.91053.91054.1376
H73.05032.91192.10041.09552.16183.91051.75252.7230
H83.05032.91192.10041.09552.16183.91051.75252.7230
H92.07463.16873.36232.30251.08394.13762.72302.7230

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 117.868 N1 C2 H6 118.944
N1 C5 C4 111.377 N1 C5 H9 122.375
C2 N1 C5 103.076 C2 N3 C4 103.898
N3 C2 H6 123.189 N3 C4 C5 103.781
N3 C4 H7 110.840 N3 C4 H8 110.840
C4 C5 H9 126.248 C5 C4 H7 112.629
C5 C4 H8 112.629 H7 C4 H8 106.229
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B1B95/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.231      
2 C 0.074      
3 N -0.235      
4 C -0.229      
5 C 0.005      
6 H 0.142      
7 H 0.166      
8 H 0.166      
9 H 0.142      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.023 -1.984 0.000 1.984
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.077 -0.599 0.000
y -0.599 -23.555 0.000
z 0.000 0.000 -28.266
Traceless
 xyz
x -8.167 -0.599 0.000
y -0.599 7.617 0.000
z 0.000 0.000 0.550
Polar
3z2-r21.100
x2-y2-10.522
xy-0.599
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.223 -0.329 0.000
y -0.329 7.331 0.000
z 0.000 0.000 3.795


<r2> (average value of r2) Å2
<r2> 80.393
(<r2>)1/2 8.966