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

using model chemistry: B3PW91/cc-pVTZ

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-pVTZ
 hartrees
Energy at 0K-226.113834
Energy at 298.15K-226.119874
HF Energy-226.113834
Nuclear repulsion energy167.258777
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-pVTZ
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 3216 3092 16.33      
2 A1 3055 2937 0.07      
3 A1 1710 1644 19.95      
4 A1 1407 1353 0.05      
5 A1 1377 1324 31.97      
6 A1 1256 1207 5.50      
7 A1 1039 999 1.78      
8 A1 936 900 12.61      
9 A2 1140 1096 0.00      
10 A2 934 898 0.00      
11 A2 552 531 0.00      
12 B1 3089 2970 1.00      
13 B1 1000 962 21.29      
14 B1 831 799 4.78      
15 B1 377 363 37.72      
16 B2 3200 3077 6.76      
17 B2 1781 1713 0.30      
18 B2 1386 1333 34.56      
19 B2 1237 1189 1.04      
20 B2 1080 1039 32.51      
21 B2 935 899 76.95      

Unscaled Zero Point Vibrational Energy (zpe) 15768.0 cm-1
Scaled (by 0.9616) Zero Point Vibrational Energy (zpe) 15162.5 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-pVTZ
ABC
0.36372 0.30678 0.17184

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.195
N2 0.000 0.996 0.280
N3 0.000 -0.996 0.280
C4 0.000 0.725 -0.941
C5 0.000 -0.725 -0.941
H6 -0.890 0.000 1.831
H7 0.890 0.000 1.831
H8 0.000 1.468 -1.727
H9 0.000 -1.468 -1.727

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35261.35262.25552.25551.09411.09413.27003.2700
N21.35261.99271.25102.11032.04712.04712.06183.1784
N31.35261.99272.11031.25102.04712.04713.17842.0618
C42.25551.25102.11031.44933.00043.00041.08192.3294
C52.25552.11031.25101.44933.00043.00042.32941.0819
H61.09412.04712.04713.00043.00041.78003.95073.9507
H71.09412.04712.04713.00043.00041.78003.95073.9507
H83.27002.06183.17841.08192.32943.95073.95072.9363
H93.27003.17842.06182.32941.08193.95073.95072.9363

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 120.011 C1 N3 C5 120.011
N2 C1 N3 94.893 N2 C1 H6 113.162
N2 C1 H7 113.162 N2 C4 C5 102.543
N2 C4 H8 124.047 N3 C1 H6 113.162
N3 C1 H7 113.162 N3 C5 C4 102.543
N3 C5 H9 124.047 C4 C5 H9 133.410
C5 C4 H8 133.410 H6 C1 H7 108.873
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.023      
2 N -0.160      
3 N -0.160      
4 C -0.093      
5 C -0.093      
6 H 0.119      
7 H 0.119      
8 H 0.123      
9 H 0.123      


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 -0.696 0.696
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.147 0.000 0.000
y 0.000 -34.904 0.000
z 0.000 0.000 -21.663
Traceless
 xyz
x 0.137 0.000 0.000
y 0.000 -9.999 0.000
z 0.000 0.000 9.862
Polar
3z2-r219.724
x2-y26.757
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.243 0.000 0.000
y 0.000 5.992 0.000
z 0.000 0.000 8.317


<r2> (average value of r2) Å2
<r2> 76.695
(<r2>)1/2 8.758