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

using model chemistry: LSDA/aug-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 LSDA/aug-cc-pVTZ
 hartrees
Energy at 0K-224.972982
Energy at 298.15K-224.978943
HF Energy-224.972982
Nuclear repulsion energy167.397119
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/aug-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 3132 3103 10.74      
2 A1 2967 2939 5.95      
3 A1 1671 1656 18.05      
4 A1 1374 1361 0.74      
5 A1 1281 1269 55.01      
6 A1 1239 1227 4.09      
7 A1 1027 1017 0.95      
8 A1 915 906 10.54      
9 A2 1078 1068 0.00      
10 A2 896 888 0.00      
11 A2 543 538 0.00      
12 B1 3001 2973 9.30      
13 B1 940 931 20.83      
14 B1 796 789 4.08      
15 B1 378 374 40.63      
16 B2 3119 3090 1.61      
17 B2 1746 1729 0.67      
18 B2 1343 1331 38.63      
19 B2 1175 1164 0.16      
20 B2 1045 1035 24.94      
21 B2 913 904 79.25      

Unscaled Zero Point Vibrational Energy (zpe) 15288.8 cm-1
Scaled (by 0.9906) Zero Point Vibrational Energy (zpe) 15145.1 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/aug-cc-pVTZ
ABC
0.36524 0.30724 0.17236

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.187
N2 0.000 0.995 0.283
N3 0.000 -0.995 0.283
C4 0.000 0.720 -0.941
C5 0.000 -0.720 -0.941
H6 -0.894 0.000 1.837
H7 0.894 0.000 1.837
H8 0.000 1.471 -1.733
H9 0.000 -1.471 -1.733

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.34481.34482.24662.24661.10471.10473.26963.2696
N21.34481.99081.25462.10722.05012.05012.07123.1852
N31.34481.99082.10721.25462.05012.05013.18522.0712
C42.24661.25462.10721.43973.00533.00531.09132.3293
C52.24662.10721.25461.43973.00533.00532.32931.0913
H61.10472.05012.05013.00533.00531.78733.96273.9627
H71.10472.05012.05013.00533.00531.78733.96273.9627
H83.26962.07123.18521.09132.32933.96273.96272.9414
H93.26963.18522.07122.32931.09133.96273.96272.9414

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 119.564 C1 N3 C5 119.564
N2 C1 N3 95.497 N2 C1 H6 113.283
N2 C1 H7 113.283 N2 C4 C5 102.688
N2 C4 H8 123.838 N3 C1 H6 113.283
N3 C1 H7 113.283 N3 C5 C4 102.688
N3 C5 H9 123.838 C4 C5 H9 133.474
C5 C4 H8 133.474 H6 C1 H7 107.990
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.007      
2 N -0.423      
3 N -0.423      
4 C -0.245      
5 C -0.245      
6 H 0.250      
7 H 0.250      
8 H 0.422      
9 H 0.422      


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 -0.629 0.629
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.686 0.000 0.000
y 0.000 -36.154 0.000
z 0.000 0.000 -21.862
Traceless
 xyz
x 0.322 0.000 0.000
y 0.000 -10.880 0.000
z 0.000 0.000 10.558
Polar
3z2-r221.115
x2-y27.468
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.125 0.000 0.000
y 0.000 7.764 0.000
z 0.000 0.000 9.073


<r2> (average value of r2) Å2
<r2> 77.019
(<r2>)1/2 8.776