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: B3LYP/6-31G(2df,p)

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/6-31G(2df,p)
 hartrees
Energy at 0K-265.557752
Energy at 298.15K-265.565525
Nuclear repulsion energy224.976107
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/6-31G(2df,p)
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 3664 3536 41.02      
2 A 3281 3166 3.60      
3 A 3249 3135 5.71      
4 A 3148 3038 3.83      
5 A 3077 2969 19.07      
6 A 3029 2923 31.92      
7 A 1597 1541 37.47      
8 A 1522 1469 3.74      
9 A 1494 1442 2.10      
10 A 1484 1432 5.94      
11 A 1441 1391 37.53      
12 A 1415 1365 0.39      
13 A 1388 1339 1.55      
14 A 1274 1229 14.21      
15 A 1185 1143 3.86      
16 A 1139 1099 1.23      
17 A 1104 1065 24.19      
18 A 1063 1026 1.34      
19 A 1007 972 10.23      
20 A 968 934 1.32      
21 A 928 896 3.41      
22 A 853 823 9.92      
23 A 730 704 28.13      
24 A 695 671 5.01      
25 A 680 656 1.26      
26 A 644 622 13.89      
27 A 523 504 63.29      
28 A 345 333 4.81      
29 A 255 246 5.11      
30 A 87 84 0.25      

Unscaled Zero Point Vibrational Energy (zpe) 21633.7 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 20876.5 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/6-31G(2df,p)
ABC
0.29791 0.12010 0.08699

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G(2df,p)

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.111 -0.024 0.000
H2 2.505 0.489 0.885
H3 2.489 -1.047 -0.001
H4 2.505 0.491 -0.884
N5 -0.166 1.050 0.000
H6 0.157 2.003 -0.001
C7 0.619 -0.071 -0.000
N8 -0.121 -1.159 -0.000
C9 -1.429 -0.726 0.000
H10 -2.252 -1.424 0.000
C11 -1.483 0.640 0.000
H12 -2.299 1.343 0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.09631.09071.09632.51692.81501.49212.50403.60834.58163.65464.6170
H21.09631.77341.76902.86852.93042.15693.22434.21095.20264.08764.9589
H31.09071.77341.77343.38293.83912.10902.61273.93114.75584.31575.3518
H41.09631.76901.77342.86792.92862.15693.22504.21125.20324.08744.9585
N52.51692.86853.38292.86791.00611.36852.20952.17893.23591.37962.1536
H62.81502.93043.83912.92861.00612.12493.17423.15574.18862.13212.5432
C71.49212.15692.10902.15691.36852.12491.31612.15013.17382.21953.2433
N82.50403.22432.61273.22502.20953.17421.31611.37762.14692.25683.3177
C93.60834.21093.93114.21122.17893.15572.15011.37761.07931.36702.2446
H104.58165.20264.75585.20323.23594.18863.17382.14691.07932.20272.7677
C113.65464.08764.31574.08741.37962.13212.21952.25681.36702.20271.0772
H124.61704.95895.35184.95852.15362.54323.24333.31772.24462.76771.0772

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 123.186 C1 C7 N8 126.053
H2 C1 H3 108.366 H2 C1 H4 107.563
H2 C1 C7 111.969 H3 C1 H4 108.368
H3 C1 C7 108.488 H4 C1 C7 111.970
N5 C7 N8 110.761 N5 C11 C9 104.990
N5 C11 H12 121.993 H6 N5 C7 126.291
H6 N5 C11 125.974 C7 N5 C11 107.735
C7 N8 C9 105.889 N8 C9 H10 121.335
N8 C9 C11 110.625 C9 C11 H12 133.017
H10 C9 C11 128.041
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.496      
2 H 0.130      
3 H 0.158      
4 H 0.129      
5 N -0.269      
6 H 0.261      
7 C 0.347      
8 N -0.290      
9 C -0.086      
10 H 0.104      
11 C -0.111      
12 H 0.123      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.514 3.455 -0.001 3.494
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.669 0.497 -0.001
y 0.497 -33.539 -0.003
z -0.001 -0.003 -36.967
Traceless
 xyz
x 4.584 0.497 -0.001
y 0.497 0.280 -0.003
z -0.001 -0.003 -4.864
Polar
3z2-r2-9.727
x2-y22.870
xy0.497
xz-0.001
yz-0.003


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.220 0.116 0.001
y 0.116 8.139 0.001
z 0.001 0.001 4.530


<r2> (average value of r2) Å2
<r2> 138.720
(<r2>)1/2 11.778