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All results from a given calculation for C3H3N2 (imidazolyl radical)

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

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at ROHF/6-31+G**
 hartrees
Energy at 0K-224.210258
Energy at 298.15K-224.214912
HF Energy-224.210258
Nuclear repulsion energy154.359105
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 ROHF/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 3457 2959 5.37      
2 A1 3434 2939 10.67      
3 A1 1595 1365 28.46      
4 A1 1404 1202 76.51      
5 A1 1235 1057 22.88      
6 A1 1049 897 0.17      
7 A1 990 848 3.08      
8 A2 927 794 0.00      
9 A2 598 512 0.00      
10 B1 911 779 0.15      
11 B1 833 713 28.84      
12 B1 607 519 38.84      
13 B2 3421 2928 1.16      
14 B2 1647 1410 27.47      
15 B2 1409 1206 0.00      
16 B2 1243 1064 17.67      
17 B2 1134 971 44.00      
18 B2 902 772 4.36      

Unscaled Zero Point Vibrational Energy (zpe) 13397.3 cm-1
Scaled (by 0.8559) Zero Point Vibrational Energy (zpe) 11466.7 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 ROHF/6-31+G**
ABC
0.36012 0.31229 0.16725

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.092
N2 0.000 1.148 0.367
N3 0.000 -1.148 0.367
C4 0.000 0.739 -0.869
C5 0.000 -0.739 -0.869
H6 0.000 0.000 2.162
H7 0.000 1.401 -1.713
H8 0.000 -1.401 -1.713

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.35761.35762.09542.09541.07013.13483.1348
N21.35762.29641.30252.25622.13032.09563.2899
N31.35762.29642.25621.30252.13033.28992.0956
C42.09541.30252.25621.47793.11971.07222.2998
C52.09542.25621.30251.47793.11972.29981.0722
H61.07012.13032.13033.11973.11974.12004.1200
H73.13482.09563.28991.07222.29984.12002.8010
H83.13483.28992.09562.29981.07224.12002.8010

picture of imidazolyl radical state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 N2 C4 103.929 C1 N3 C5 103.929
N2 C1 N3 115.514 N2 C1 H6 122.243
N2 C4 C5 108.314 N2 C4 H7 123.587
N3 C1 H6 122.243 N3 C5 C4 108.314
N3 C5 H8 123.587 C4 C5 H8 128.099
C5 C4 H7 128.099
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at ROHF/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.012      
2 N -0.320      
3 N -0.320      
4 C -0.053      
5 C -0.053      
6 H 0.235      
7 H 0.250      
8 H 0.250      


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 -2.127 2.127
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.856 0.000 0.000
y 0.000 -35.640 0.000
z 0.000 0.000 -22.259
Traceless
 xyz
x -0.906 0.000 0.000
y 0.000 -9.582 0.000
z 0.000 0.000 10.489
Polar
3z2-r220.977
x2-y25.784
xy0.000
xz0.000
yz0.000


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


<r2> (average value of r2) Å2
<r2> 75.849
(<r2>)1/2 8.709