return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: wB97X-D/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 wB97X-D/6-31G*
 hartrees
Energy at 0K-265.450057
Energy at 298.15K-265.457812
HF Energy-265.450057
Nuclear repulsion energy 
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 wB97X-D/6-31G*
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 3709 3518 49.82      
2 A 3328 3156 3.73      
3 A 3296 3126 7.81      
4 A 3197 3032 3.98      
5 A 3137 2975 19.23      
6 A 3075 2917 28.74      
7 A 1642 1557 42.36      
8 A 1562 1481 5.25      
9 A 1539 1460 3.62      
10 A 1518 1440 9.20      
11 A 1487 1410 45.06      
12 A 1452 1377 0.32      
13 A 1427 1354 1.00      
14 A 1303 1236 14.78      
15 A 1216 1153 3.40      
16 A 1157 1097 4.14      
17 A 1127 1069 28.74      
18 A 1083 1027 2.15      
19 A 1023 971 8.12      
20 A 985 935 1.56      
21 A 937 889 2.93      
22 A 882 837 8.88      
23 A 747 709 42.14      
24 A 700 663 3.28      
25 A 688 652 1.26      
26 A 651 617 14.69      
27 A 523 496 85.49      
28 A 349 331 5.30      
29 A 254 241 6.40      
30 A 64 60 0.34      

Unscaled Zero Point Vibrational Energy (zpe) 22027.1 cm-1
Scaled (by 0.9485) Zero Point Vibrational Energy (zpe) 20892.7 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 wB97X-D/6-31G*
ABC
0.29828 0.12050 0.08723

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-31G*

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.108 -0.022 0.000
H2 2.499 0.489 0.887
H3 2.485 -1.046 -0.001
H4 2.499 0.491 -0.886
N5 -0.167 1.047 -0.000
H6 0.158 2.000 -0.001
C7 0.617 -0.070 -0.000
N8 -0.120 -1.158 -0.000
C9 -1.424 -0.725 -0.000
H10 -2.247 -1.425 -0.000
C11 -1.482 0.639 0.000
H12 -2.302 1.339 0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.09591.09121.09592.51432.80951.49212.50133.60134.57573.65054.6159
H21.09591.77381.77332.86512.92462.15453.21884.20115.19384.08134.9560
H31.09121.77381.77383.37873.83342.10772.60703.92174.74674.30985.3485
H41.09591.77331.77382.86452.92302.15453.21944.20145.19434.08114.9557
N52.51432.86513.37872.86451.00721.36452.20572.17183.23031.37612.1547
H62.80952.92463.83342.92301.00722.12003.17063.15054.18502.13072.5470
C71.49212.15452.10772.15451.36452.12001.31472.14333.16852.21533.2415
N82.50133.21882.60703.21942.20573.17061.31471.37412.14362.25523.3169
C93.60134.20113.92174.20142.17183.15052.14331.37411.08081.36522.2435
H104.57575.19384.74675.19433.23034.18503.16852.14361.08082.20162.7654
C113.65054.08134.30984.08111.37612.13072.21532.25521.36522.20161.0787
H124.61594.95605.34854.95572.15472.54703.24153.31692.24352.76541.0787

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 123.264 C1 C7 N8 125.922
H2 C1 H3 108.391 H2 C1 H4 108.013
H2 C1 C7 111.796 H3 C1 H4 108.391
H3 C1 C7 108.346 H4 C1 C7 111.797
N5 C7 N8 110.814 N5 C11 C9 104.794
N5 C11 H12 122.281 H6 N5 C7 126.068
H6 N5 C11 126.070 C7 N5 C11 107.862
C7 N8 C9 105.696 N8 C9 H10 121.204
N8 C9 C11 110.832 C9 C11 H12 132.924
H10 C9 C11 127.964
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.583      
2 H 0.181      
3 H 0.216      
4 H 0.181      
5 N -0.623      
6 H 0.355      
7 C 0.476      
8 N -0.472      
9 C -0.069      
10 H 0.167      
11 C -0.014      
12 H 0.185      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.505 3.647 -0.000 3.681
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.962 0.528 0.001
y 0.528 -33.285 -0.001
z 0.001 -0.001 -37.274
Traceless
 xyz
x 5.317 0.528 0.001
y 0.528 0.333 -0.001
z 0.001 -0.001 -5.650
Polar
3z2-r2-11.301
x2-y23.323
xy0.528
xz0.001
yz-0.001


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.593 0.137 0.000
y 0.137 7.842 -0.000
z 0.000 -0.000 4.045


<r2> (average value of r2) Å2
<r2> 138.270
(<r2>)1/2 11.759