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

using model chemistry: BLYP/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at BLYP/6-31G**
 hartrees
Energy at 0K-225.488037
Energy at 298.15K-225.492310
HF Energy-225.488037
Nuclear repulsion energy151.378423
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 BLYP/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 3161 3137 4.19      
2 A1 3151 3127 17.67      
3 A1 1385 1374 14.10      
4 A1 1275 1265 42.99      
5 A1 1115 1107 27.19      
6 A1 950 943 3.14      
7 A1 882 875 1.96      
8 A2 842 835 0.00      
9 A2 544 540 0.00      
10 B1 834 827 0.35      
11 B1 712 706 18.13      
12 B1 477 473 22.44      
13 B2 3137 3113 4.26      
14 B2 1474 1463 14.86      
15 B2 1262 1252 0.00      
16 B2 1160 1151 3.98      
17 B2 969 962 72.03      
18 B2 749 743 2.48      

Unscaled Zero Point Vibrational Energy (zpe) 12038.9 cm-1
Scaled (by 0.9923) Zero Point Vibrational Energy (zpe) 11946.2 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 BLYP/6-31G**
ABC
0.34951 0.29826 0.16093

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.103
N2 0.000 1.184 0.376
N3 0.000 -1.184 0.376
C4 0.000 0.743 -0.883
C5 0.000 -0.743 -0.883
H6 0.000 0.000 2.195
H7 0.000 1.415 -1.743
H8 0.000 -1.415 -1.743

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.38941.38942.12072.12071.09103.17883.1788
N21.38942.36751.33392.30142.16982.13183.3531
N31.38942.36752.30141.33392.16983.35312.1318
C42.12071.33392.30141.48573.16571.09162.3227
C52.12072.30141.33391.48573.16572.32271.0916
H61.09102.16982.16983.16573.16574.18414.1841
H73.17882.13183.35311.09162.32274.18412.8294
H83.17883.35312.13182.32271.09164.18412.8294

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 102.270 C1 N3 C5 102.270
N2 C1 N3 116.857 N2 C1 H6 121.572
N2 C4 C5 109.301 N2 C4 H7 122.709
N3 C1 H6 121.572 N3 C5 C4 109.301
N3 C5 H8 122.709 C4 C5 H8 127.990
C5 C4 H7 127.990
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.246      
2 N -0.375      
3 N -0.375      
4 C 0.103      
5 C 0.103      
6 H 0.108      
7 H 0.096      
8 H 0.096      


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 -1.532 1.532
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.772 0.000 0.000
y 0.000 -33.890 0.000
z 0.000 0.000 -22.557
Traceless
 xyz
x -0.548 0.000 0.000
y 0.000 -8.226 0.000
z 0.000 0.000 8.774
Polar
3z2-r217.549
x2-y25.118
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.630 0.000 0.000
y 0.000 6.141 0.000
z 0.000 0.000 7.548


<r2> (average value of r2) Å2
<r2> 77.516
(<r2>)1/2 8.804