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

using model chemistry: PBEPBE/cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at PBEPBE/cc-pVDZ
 hartrees
Energy at 0K-225.304298
Energy at 298.15K-225.308597
HF Energy-225.304298
Nuclear repulsion energy151.689194
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 PBEPBE/cc-pVDZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 3154 3136 0.64      
2 A1 3148 3130 15.47      
3 A1 1412 1404 20.28      
4 A1 1265 1257 38.44      
5 A1 1138 1131 25.76      
6 A1 960 954 2.13      
7 A1 880 875 3.65      
8 A2 849 844 0.00      
9 A2 543 540 0.00      
10 B1 841 836 0.10      
11 B1 706 702 21.72      
12 B1 468 465 20.48      
13 B2 3134 3116 1.88      
14 B2 1480 1471 17.61      
15 B2 1233 1226 0.01      
16 B2 1148 1142 2.43      
17 B2 988 982 76.00      
18 B2 776 771 0.26      

Unscaled Zero Point Vibrational Energy (zpe) 12060.6 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 11990.6 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 PBEPBE/cc-pVDZ
ABC
0.35155 0.29935 0.16168

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.097
N2 0.000 1.181 0.376
N3 0.000 -1.181 0.376
C4 0.000 0.741 -0.880
C5 0.000 -0.741 -0.880
H6 0.000 0.000 2.197
H7 0.000 1.420 -1.744
H8 0.000 -1.420 -1.744

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.38411.38412.11122.11121.09973.17703.1770
N21.38412.36261.33072.29582.17062.13393.3563
N31.38412.36262.29581.33072.17063.35632.1339
C42.11121.33072.29581.48143.16461.09992.3276
C52.11122.29581.33071.48143.16462.32761.0999
H61.09972.17062.17063.16463.16464.18964.1896
H73.17702.13393.35631.09992.32764.18962.8405
H83.17703.35632.13392.32761.09994.18962.8405

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 102.075 C1 N3 C5 102.075
N2 C1 N3 117.179 N2 C1 H6 121.410
N2 C4 C5 109.335 N2 C4 H7 122.506
N3 C1 H6 121.410 N3 C5 C4 109.335
N3 C5 H8 122.506 C4 C5 H8 128.158
C5 C4 H7 128.158
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.170      
2 N -0.183      
3 N -0.183      
4 C 0.064      
5 C 0.064      
6 H 0.032      
7 H 0.018      
8 H 0.018      


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 -1.446 1.446
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.949 0.000 0.000
y 0.000 -33.558 0.000
z 0.000 0.000 -22.662
Traceless
 xyz
x -0.838 0.000 0.000
y 0.000 -7.753 0.000
z 0.000 0.000 8.591
Polar
3z2-r217.182
x2-y24.610
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.906 0.000 0.000
y 0.000 6.196 0.000
z 0.000 0.000 7.723


<r2> (average value of r2) Å2
<r2> 77.288
(<r2>)1/2 8.791