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

using model chemistry: PBEPBEultrafine/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBEPBEultrafine/6-31+G**
 hartrees
Energy at 0K-225.861961
Energy at 298.15K-225.867856
HF Energy-225.861961
Nuclear repulsion energy165.821117
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 PBEPBEultrafine/6-31+G**
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 3166 3129 15.49      
2 A1 2993 2959 0.95      
3 A1 1659 1640 18.91      
4 A1 1371 1356 0.06      
5 A1 1329 1314 35.92      
6 A1 1234 1219 5.94      
7 A1 1013 1001 0.87      
8 A1 894 884 9.98      
9 A2 1098 1085 0.00      
10 A2 873 863 0.00      
11 A2 525 519 0.00      
12 B1 3030 2995 2.27      
13 B1 960 949 19.70      
14 B1 790 781 6.43      
15 B1 354 350 41.46      
16 B2 3151 3115 6.08      
17 B2 1724 1704 2.34      
18 B2 1340 1324 40.50      
19 B2 1193 1179 1.47      
20 B2 1054 1042 30.37      
21 B2 894 884 74.82      

Unscaled Zero Point Vibrational Energy (zpe) 15320.9 cm-1
Scaled (by 0.9886) Zero Point Vibrational Energy (zpe) 15146.3 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 PBEPBEultrafine/6-31+G**
ABC
0.36109 0.29918 0.16895

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

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 0.285
N3 0.000 -0.997 0.285
C4 0.000 0.729 -0.956
C5 0.000 -0.729 -0.956
H6 -0.899 0.000 1.852
H7 0.899 0.000 1.852
H8 0.000 1.490 -1.740
H9 0.000 -1.490 -1.740

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35831.35832.28302.28301.10541.10543.30243.3024
N21.35831.99401.26972.12572.06272.06272.08403.2067
N31.35831.99402.12571.26972.06272.06273.20672.0840
C42.28301.26972.12571.45763.03653.03651.09232.3527
C52.28302.12571.26971.45763.03653.03652.35271.0923
H61.10542.06272.06273.03653.03651.79713.99043.9904
H71.10542.06272.06273.03653.03651.79713.99043.9904
H83.30242.08403.20671.09232.35273.99043.99042.9790
H93.30243.20672.08402.35271.09233.99043.99042.9790

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 120.583 C1 N3 C5 120.583
N2 C1 N3 94.445 N2 C1 H6 113.301
N2 C1 H7 113.301 N2 C4 C5 102.194
N2 C4 H8 123.665 N3 C1 H6 113.301
N3 C1 H7 113.301 N3 C5 C4 102.194
N3 C5 H9 123.665 C4 C5 H9 134.141
C5 C4 H8 134.141 H6 C1 H7 108.755
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.210      
2 N -0.215      
3 N -0.215      
4 C -0.051      
5 C -0.051      
6 H 0.214      
7 H 0.214      
8 H 0.157      
9 H 0.157      


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 -0.647 0.647
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.819 0.000 0.000
y 0.000 -36.798 0.000
z 0.000 0.000 -21.789
Traceless
 xyz
x 0.474 0.000 0.000
y 0.000 -11.493 0.000
z 0.000 0.000 11.019
Polar
3z2-r222.038
x2-y27.978
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.744 0.000 0.000
y 0.000 7.498 0.000
z 0.000 0.000 8.931


<r2> (average value of r2) Å2
<r2> 78.303
(<r2>)1/2 8.849