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

using model chemistry: B3LYP/CEP-121G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B3LYP/CEP-121G
 hartrees
Energy at 0K-39.084297
Energy at 298.15K-39.090320
HF Energy-39.084297
Nuclear repulsion energy83.285461
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 B3LYP/CEP-121G
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' 3644 3551 32.01      
2 A' 3272 3188 6.06      
3 A' 3251 3168 4.19      
4 A' 3245 3162 3.99      
5 A' 1525 1486 14.85      
6 A' 1462 1425 12.81      
7 A' 1393 1358 12.75      
8 A' 1331 1297 7.99      
9 A' 1265 1232 1.17      
10 A' 1149 1120 0.70      
11 A' 1114 1085 8.67      
12 A' 1088 1060 20.34      
13 A' 1052 1025 45.14      
14 A' 934 910 3.76      
15 A' 896 873 8.48      
16 A" 876 854 5.98      
17 A" 807 786 51.01      
18 A" 752 733 41.82      
19 A" 669 652 0.62      
20 A" 645 628 84.38      
21 A" 608 592 65.31      

Unscaled Zero Point Vibrational Energy (zpe) 15488.2 cm-1
Scaled (by 0.9745) Zero Point Vibrational Energy (zpe) 15093.3 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 B3LYP/CEP-121G
ABC
0.31255 0.30327 0.15392

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-121G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.125 0.000
C2 -1.116 0.291 0.000
C3 1.140 0.303 0.000
N4 -0.756 -1.002 0.000
C5 0.655 -1.001 0.000
H6 -0.003 2.136 0.000
H7 -2.131 0.663 0.000
H8 2.142 0.706 0.000
H9 1.209 -1.928 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.39311.40532.25732.22511.01082.18032.18263.2841
C21.39312.25591.34242.19222.15431.08073.28413.2145
C31.40532.25592.30161.39222.15973.29031.07972.2327
N42.25731.34242.30161.41033.22682.15913.36332.1724
C52.22512.19221.39221.41033.20563.24462.26421.0801
H61.01082.15432.15973.22683.20562.58792.57814.2411
H72.18031.08073.29032.15913.24462.58794.27284.2271
H82.18263.28411.07973.36332.26422.57814.27282.7941
H93.28413.21452.23272.17241.08014.24114.22712.7941

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 111.205 N1 C2 H7 123.127
N1 C3 C5 105.385 N1 C3 H8 122.338
C2 N1 C3 107.442 C2 N1 H6 126.598
C2 N4 C5 105.549 C3 N1 H6 125.960
C3 C5 N4 110.419 C3 C5 H9 128.690
N4 C2 H7 125.668 N4 C5 H9 120.891
C5 C3 H8 132.277
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-121G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.233      
2 C -0.260      
3 C -0.142      
4 N 0.041      
5 C -0.249      
6 H 0.318      
7 H 0.174      
8 H 0.187      
9 H 0.165      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.355 3.901 0.000 4.129
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.832 -3.792 0.000
y -3.792 -26.057 0.000
z 0.000 0.000 -32.318
Traceless
 xyz
x 2.355 -3.792 0.000
y -3.792 3.517 0.000
z 0.000 0.000 -5.873
Polar
3z2-r2-11.746
x2-y2-0.775
xy-3.792
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.660 -0.151 0.000
y -0.151 7.372 0.000
z 0.000 0.000 3.593


<r2> (average value of r2) Å2
<r2> 68.364
(<r2>)1/2 8.268