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

using model chemistry: B3LYP/Def2TZVPP

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/Def2TZVPP
 hartrees
Energy at 0K-265.646954
Energy at 298.15K-265.654716
HF Energy-265.646954
Nuclear repulsion energy225.329284
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/Def2TZVPP
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 3655 3518 44.91      
2 A 3275 3152 2.30      
3 A 3246 3124 4.86      
4 A 3139 3022 3.64      
5 A 3070 2956 17.50      
6 A 3027 2914 31.96      
7 A 1594 1535 36.66      
8 A 1517 1460 4.04      
9 A 1494 1438 4.83      
10 A 1486 1430 7.14      
11 A 1439 1385 39.41      
12 A 1419 1366 0.20      
13 A 1385 1333 1.74      
14 A 1275 1227 14.76      
15 A 1178 1134 5.91      
16 A 1138 1095 1.82      
17 A 1098 1057 25.56      
18 A 1066 1026 0.79      
19 A 1010 972 10.13      
20 A 969 933 2.64      
21 A 932 897 2.63      
22 A 875 842 8.01      
23 A 736 708 50.05      
24 A 695 669 6.25      
25 A 679 654 0.81      
26 A 646 622 9.50      
27 A 525 506 66.82      
28 A 350 337 5.22      
29 A 254 244 6.11      
30 A 71 68 0.33      

Unscaled Zero Point Vibrational Energy (zpe) 21620.2 cm-1
Scaled (by 0.9626) Zero Point Vibrational Energy (zpe) 20811.6 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/Def2TZVPP
ABC
0.29952 0.12029 0.08722

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/Def2TZVPP

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.111 -0.025 0.000
H2 2.502 0.485 0.883
H3 2.487 -1.045 -0.001
H4 2.502 0.486 -0.882
N5 -0.167 1.046 -0.000
H6 0.155 1.997 -0.001
C7 0.622 -0.068 -0.000
N8 -0.122 -1.153 -0.000
C9 -1.429 -0.725 -0.000
H10 -2.250 -1.421 -0.000
C11 -1.483 0.638 0.000
H12 -2.302 1.334 0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.09231.08721.09232.51722.81381.48972.50213.60894.57983.65514.6178
H21.09231.76731.76552.86692.92902.14973.21734.20725.19654.08514.9580
H31.08721.76731.76733.37883.83362.10542.61183.92934.75264.31255.3477
H41.09231.76551.76732.86632.92742.14973.21794.20755.19704.08494.9577
N52.51722.86693.37882.86631.00461.36512.19892.17473.22931.37802.1544
H62.81382.92903.83362.92741.00462.11783.16233.14994.18022.12872.5447
C71.48972.14972.10542.14971.36512.11781.31542.15383.17542.22073.2431
N82.50213.21732.61183.21792.19893.16231.31541.37482.14502.24923.3070
C93.60894.20723.92934.20752.17473.14992.15381.37481.07681.36442.2371
H104.57985.19654.75265.19703.22934.18023.17542.14501.07682.19782.7565
C113.65514.08514.31254.08491.37802.12872.22072.24921.36442.19781.0748
H124.61784.95805.34774.95772.15442.54473.24313.30702.23712.75651.0748

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 123.650 C1 C7 N8 126.131
H2 C1 H3 108.362 H2 C1 H4 107.826
H2 C1 C7 111.803 H3 C1 H4 108.364
H3 C1 C7 108.571 H4 C1 C7 111.805
N5 C7 N8 110.219 N5 C11 C9 104.932
N5 C11 H12 122.404 H6 N5 C7 126.007
H6 N5 C11 125.891 C7 N5 C11 108.103
C7 N8 C9 106.356 N8 C9 H10 121.601
N8 C9 C11 110.391 C9 C11 H12 132.665
H10 C9 C11 128.008
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.283      
2 H 0.094      
3 H 0.114      
4 H 0.094      
5 N -0.170      
6 H 0.152      
7 C 0.190      
8 N -0.273      
9 C -0.101      
10 H 0.130      
11 C -0.094      
12 H 0.146      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.584 3.544 0.000 3.592
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.242 0.589 0.001
y 0.589 -34.639 -0.001
z 0.001 -0.001 -38.152
Traceless
 xyz
x 5.154 0.589 0.001
y 0.589 0.058 -0.001
z 0.001 -0.001 -5.212
Polar
3z2-r2-10.423
x2-y23.397
xy0.589
xz0.001
yz-0.001


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.085 0.026 0.000
y 0.026 9.075 -0.000
z 0.000 -0.000 5.908


<r2> (average value of r2) Å2
<r2> 138.999
(<r2>)1/2 11.790