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

using model chemistry: LSDA/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 LSDA/6-31G
 hartrees
Energy at 0K-224.785397
Energy at 298.15K-224.791408
HF Energy-224.785397
Nuclear repulsion energy165.811301
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 LSDA/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 3211 3146 10.07      
2 A1 3021 2960 5.33      
3 A1 1674 1640 21.01      
4 A1 1367 1339 32.78      
5 A1 1353 1325 12.48      
6 A1 1245 1219 14.21      
7 A1 1040 1019 6.78      
8 A1 918 899 9.64      
9 A2 1111 1089 0.00      
10 A2 904 886 0.00      
11 A2 559 548 0.00      
12 B1 3065 3003 4.62      
13 B1 987 967 11.74      
14 B1 817 801 10.09      
15 B1 402 394 56.73      
16 B2 3194 3129 5.78      
17 B2 1736 1701 0.05      
18 B2 1303 1276 12.76      
19 B2 1213 1188 0.66      
20 B2 1071 1050 33.50      
21 B2 928 910 92.41      

Unscaled Zero Point Vibrational Energy (zpe) 15559.3 cm-1
Scaled (by 0.9797) Zero Point Vibrational Energy (zpe) 15243.4 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 LSDA/6-31G
ABC
0.36169 0.29867 0.16887

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.208
N2 0.000 0.997 0.286
N3 0.000 -0.997 0.286
C4 0.000 0.729 -0.956
C5 0.000 -0.729 -0.956
H6 -0.894 0.000 1.857
H7 0.894 0.000 1.857
H8 0.000 1.477 -1.748
H9 0.000 -1.477 -1.748

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35831.35832.28352.28351.10441.10443.30473.3047
N21.35831.99401.27002.12622.06422.06422.08963.2027
N31.35831.99402.12621.27002.06422.06423.20272.0896
C42.28351.27002.12621.45833.03983.03981.08962.3443
C52.28352.12621.27001.45833.03983.03982.34431.0896
H61.10442.06422.06423.03983.03981.78803.99683.9968
H71.10442.06422.06423.03983.03981.78803.99683.9968
H83.30472.08963.20271.08962.34433.99683.99682.9546
H93.30473.20272.08962.34431.08963.99683.99682.9546

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 120.603 C1 N3 C5 120.603
N2 C1 N3 94.445 N2 C1 H6 113.500
N2 C1 H7 113.500 N2 C4 C5 102.175
N2 C4 H8 124.462 N3 C1 H6 113.500
N3 C1 H7 113.500 N3 C5 C4 102.175
N3 C5 H9 124.462 C4 C5 H9 133.363
C5 C4 H8 133.363 H6 C1 H7 108.093
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.203      
2 N -0.312      
3 N -0.312      
4 C -0.044      
5 C -0.044      
6 H 0.270      
7 H 0.270      
8 H 0.189      
9 H 0.189      


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 -0.324 0.324
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.049 0.000 0.000
y 0.000 -35.917 0.000
z 0.000 0.000 -21.310
Traceless
 xyz
x 0.564 0.000 0.000
y 0.000 -11.237 0.000
z 0.000 0.000 10.673
Polar
3z2-r221.346
x2-y27.868
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.281 0.000 0.000
y 0.000 4.995 0.000
z 0.000 0.000 8.043


<r2> (average value of r2) Å2
<r2> 77.880
(<r2>)1/2 8.825