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

using model chemistry: LSDA/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 LSDA/6-31+G**
 hartrees
Energy at 0K-224.313933
Energy at 298.15K-224.318229
HF Energy-224.313933
Nuclear repulsion energy153.219666
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/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 3174 3126 0.25      
2 A1 3165 3118 5.52      
3 A1 1452 1431 32.53      
4 A1 1291 1272 49.27      
5 A1 1185 1167 18.34      
6 A1 984 969 1.19      
7 A1 896 882 3.44      
8 A2 845 833 0.00      
9 A2 537 529 0.00      
10 B1 857 844 0.05      
11 B1 689 679 34.27      
12 B1 438 431 21.99      
13 B2 3153 3105 0.01      
14 B2 1509 1486 22.53      
15 B2 1251 1233 0.62      
16 B2 1174 1157 0.22      
17 B2 1036 1021 95.78      
18 B2 814 802 0.03      

Unscaled Zero Point Vibrational Energy (zpe) 12224.4 cm-1
Scaled (by 0.985) Zero Point Vibrational Energy (zpe) 12041.0 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/6-31+G**
ABC
0.35578 0.30796 0.16507

See section I.F.4 to change rotational constant units
Geometric Data calculated at LSDA/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 1.162 0.373
N3 0.000 -1.162 0.373
C4 0.000 0.733 -0.874
C5 0.000 -0.733 -0.874
H6 0.000 0.000 2.186
H7 0.000 1.411 -1.733
H8 0.000 -1.411 -1.733

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.36651.36652.09812.09811.09413.15803.1580
N21.36652.32431.31872.26882.15352.12103.3254
N31.36652.32432.26881.31872.15353.32542.1210
C42.09811.31872.26881.46633.14661.09452.3100
C52.09812.26881.31871.46633.14662.31001.0945
H61.09412.15352.15353.14663.14664.16564.1656
H73.15802.12103.32541.09452.31004.16562.8222
H83.15803.32542.12102.31001.09454.16562.8222

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 102.755 C1 N3 C5 102.755
N2 C1 N3 116.521 N2 C1 H6 121.740
N2 C4 C5 108.985 N2 C4 H7 122.745
N3 C1 H6 121.740 N3 C5 C4 108.985
N3 C5 H8 122.745 C4 C5 H8 128.270
C5 C4 H7 128.270
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.019      
2 N -0.217      
3 N -0.217      
4 C -0.048      
5 C -0.048      
6 H 0.183      
7 H 0.182      
8 H 0.182      


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 -1.709 1.709
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.784 0.000 0.000
y 0.000 -35.234 0.000
z 0.000 0.000 -22.504
Traceless
 xyz
x -0.915 0.000 0.000
y 0.000 -9.091 0.000
z 0.000 0.000 10.006
Polar
3z2-r220.011
x2-y25.451
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.108 0.000 0.000
y 0.000 7.354 0.000
z 0.000 0.000 8.115


<r2> (average value of r2) Å2
<r2> 76.618
(<r2>)1/2 8.753