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All results from a given calculation for C4H6N2 (1H-Imidazole, 2-methyl-)

using model chemistry: HF/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at HF/3-21G*
 hartrees
Energy at 0K-262.377004
Energy at 298.15K-262.385299
Nuclear repulsion energy225.476560
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 HF/3-21G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A 3853 3478 89.52      
2 A 3490 3150 4.27      
3 A 3463 3126 2.32      
4 A 3312 2989 3.16      
5 A 3244 2928 19.59      
6 A 3200 2888 21.38      
7 A 1729 1561 62.00      
8 A 1661 1500 0.10      
9 A 1660 1499 9.63      
10 A 1632 1473 9.81      
11 A 1579 1426 3.75      
12 A 1541 1390 29.06      
13 A 1475 1332 3.43      
14 A 1375 1241 27.73      
15 A 1250 1128 5.21      
16 A 1203 1086 9.34      
17 A 1172 1058 12.46      
18 A 1164 1051 19.02      
19 A 1097 990 18.44      
20 A 1070 966 2.38      
21 A 1060 957 8.20      
22 A 1024 924 2.11      
23 A 901 813 43.19      
24 A 782 705 52.29      
25 A 735 663 112.12      
26 A 710 641 1.80      
27 A 710 640 30.16      
28 A 359 324 6.14      
29 A 290 262 8.60      
30 A 123 111 0.09      

Unscaled Zero Point Vibrational Energy (zpe) 23431.5 cm-1
Scaled (by 0.9026) Zero Point Vibrational Energy (zpe) 21149.3 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 HF/3-21G*
ABC
0.30287 0.11962 0.08714

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/3-21G*

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.115 -0.027 -0.000
H2 2.490 0.484 0.881
H3 2.486 -1.040 -0.001
H4 2.490 0.486 -0.880
N5 -0.161 1.048 0.000
H6 0.156 1.990 0.000
C7 0.623 -0.075 -0.000
N8 -0.115 -1.147 0.000
C9 -1.442 -0.718 -0.000
H10 -2.249 -1.410 -0.000
C11 -1.485 0.631 -0.000
H12 -2.299 1.315 -0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.08501.07951.08502.51692.81131.49242.49513.62364.57803.65944.6132
H21.08501.76091.76032.85002.91382.13853.19684.20535.17914.07414.9399
H31.07951.76091.76093.37203.82272.09842.60353.94184.75014.30885.3337
H41.08501.76031.76092.84942.91252.13863.19764.20565.17964.07374.9393
N52.51692.85003.37202.84940.99461.36962.19492.18183.22491.38772.1545
H62.81132.91383.82272.91250.99462.11733.14863.14534.16522.13102.5467
C71.49242.13852.09842.13861.36962.11731.30122.16333.16752.22333.2360
N82.49513.19682.60353.19762.19493.14861.30121.39482.15062.24463.2909
C93.62364.20533.94184.20562.18183.14532.16331.39481.06271.35042.2065
H104.57805.17914.75015.17963.22494.16523.16752.15061.06272.17962.7253
C113.65944.07414.30884.07371.38772.13102.22332.24461.35042.17961.0631
H124.61324.93995.33374.93932.15452.54673.23603.29092.20652.72531.0631

picture of 1H-Imidazole, 2-methyl- state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C7 N5 123.088 C1 C7 N8 126.407
H2 C1 H3 108.882 H2 C1 H4 108.423
H2 C1 C7 111.156 H3 C1 H4 108.883
H3 C1 C7 108.286 H4 C1 C7 111.160
N5 C7 N8 110.505 N5 C11 C9 105.655
N5 C11 H12 122.510 H6 N5 C7 126.432
H6 N5 C11 126.095 C7 N5 C11 107.474
C7 N8 C9 106.673 N8 C9 H10 121.527
N8 C9 C11 109.693 C9 C11 H12 131.835
H10 C9 C11 128.780
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.637 -0.359    
2 H 0.223 0.094    
3 H 0.261 0.131    
4 H 0.223 0.094    
5 N -0.917 -0.335    
6 H 0.370 0.326    
7 C 0.665 0.538    
8 N -0.654 -0.640    
9 C -0.079 0.147    
10 H 0.243 0.104    
11 C 0.042 -0.313    
12 H 0.260 0.211    


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.461 3.806 -0.001 3.834
CHELPG 0.403 3.758 -0.000 3.779
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.740 0.599 0.000
y 0.599 -34.770 0.000
z 0.000 0.000 -38.652
Traceless
 xyz
x 6.970 0.599 0.000
y 0.599 -0.574 0.000
z 0.000 0.000 -6.397
Polar
3z2-r2-12.793
x2-y25.029
xy0.599
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.361 0.223 0.000
y 0.223 7.084 -0.000
z 0.000 -0.000 3.205


<r2> (average value of r2) Å2
<r2> 138.773
(<r2>)1/2 11.780