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All results from a given calculation for C3H4N2 (1H-Imidazole)

using model chemistry: B2PLYP/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B2PLYP/6-31G
 hartrees
Energy at 0K-225.822318
Energy at 298.15K-225.828342
HF Energy-225.656067
Nuclear repulsion energy161.347284
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 B2PLYP/6-31G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A' 3698 3698 51.56      
2 A' 3343 3343 1.89      
3 A' 3329 3329 2.15      
4 A' 3319 3319 2.07      
5 A' 1559 1559 18.69      
6 A' 1492 1492 10.91      
7 A' 1433 1433 16.30      
8 A' 1356 1356 10.80      
9 A' 1290 1290 2.64      
10 A' 1176 1176 0.83      
11 A' 1126 1126 12.35      
12 A' 1113 1113 13.14      
13 A' 1069 1069 32.51      
14 A' 956 956 3.10      
15 A' 921 921 8.40      
16 A" 866 866 8.03      
17 A" 803 803 32.97      
18 A" 738 738 27.27      
19 A" 678 678 0.85      
20 A" 651 651 91.12      
21 A" 622 622 91.46      

Unscaled Zero Point Vibrational Energy (zpe) 15768.8 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15768.8 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 B2PLYP/6-31G
ABC
0.31596 0.30776 0.15590

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/6-31G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.116 0.000
C2 -1.113 0.295 0.000
C3 1.134 0.294 0.000
N4 -0.750 -0.985 0.000
C5 0.652 -1.001 0.000
H6 -0.003 2.122 0.000
H7 -2.123 0.672 0.000
H8 2.135 0.691 0.000
H9 1.207 -1.924 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.38271.39982.23032.21521.00612.16882.17643.2709
C21.38272.24631.32972.18962.13741.07833.27133.2104
C31.39982.24632.27711.38242.15223.27831.07662.2200
N42.23031.32972.27711.40253.19492.15133.33622.1714
C52.21522.18961.38241.40253.19113.24052.24981.0771
H61.00612.13742.15223.19493.19112.56792.57254.2233
H72.16881.07833.27832.15133.24052.56794.25754.2226
H82.17643.27131.07663.33622.24982.57254.25752.7749
H93.27093.21042.22002.17141.07714.22334.22262.7749

picture of 1H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N4 110.605 N1 C2 H7 123.105
N1 C3 C5 105.536 N1 C3 H8 122.466
C2 N1 C3 107.661 C2 N1 H6 126.224
C2 N4 C5 106.496 C3 N1 H6 126.115
C3 C5 N4 109.701 C3 C5 H9 128.590
N4 C2 H7 126.289 N4 C5 H9 121.709
C5 C3 H8 131.998
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.689      
2 C 0.233      
3 C 0.091      
4 N -0.408      
5 C -0.079      
6 H 0.340      
7 H 0.178      
8 H 0.176      
9 H 0.158      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.350 3.797 0.000 4.030
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.648 -3.644 0.000
y -3.644 -26.042 0.000
z 0.000 0.000 -31.804
Traceless
 xyz
x 2.275 -3.644 0.000
y -3.644 3.183 0.000
z 0.000 0.000 -5.458
Polar
3z2-r2-10.917
x2-y2-0.606
xy-3.644
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.918 -0.201 0.000
y -0.201 6.719 0.000
z 0.000 0.000 2.322


<r2> (average value of r2) Å2
<r2> 81.405
(<r2>)1/2 9.022