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

using model chemistry: B3LYP/CEP-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 B3LYP/CEP-31G*
 hartrees
Energy at 0K-46.006565
Energy at 298.15K-46.014209
Nuclear repulsion energy116.619250
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-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 3642 3517 38.28      
2 A 3267 3155 4.91      
3 A 3236 3125 5.76      
4 A 3158 3049 11.18      
5 A 3096 2990 33.15      
6 A 3044 2939 42.30      
7 A 1588 1534 33.84      
8 A 1519 1467 6.52      
9 A 1492 1441 2.31      
10 A 1483 1432 11.01      
11 A 1426 1377 44.62      
12 A 1411 1362 1.98      
13 A 1374 1327 0.35      
14 A 1258 1215 18.55      
15 A 1179 1138 6.62      
16 A 1121 1082 3.24      
17 A 1089 1052 28.21      
18 A 1045 1010 1.49      
19 A 992 958 9.96      
20 A 953 920 2.03      
21 A 903 872 3.16      
22 A 855 826 19.22      
23 A 729 704 84.46      
24 A 679 656 0.73      
25 A 666 643 1.20      
26 A 628 606 15.36      
27 A 525 507 70.10      
28 A 335 323 4.90      
29 A 251 242 7.72      
30 A 70 68 0.27      

Unscaled Zero Point Vibrational Energy (zpe) 21505.9 cm-1
Scaled (by 0.9657) Zero Point Vibrational Energy (zpe) 20768.3 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-31G*
ABC
0.28965 0.11720 0.08479

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-31G*

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -2.110 -0.044 -0.000
H2 -2.501 0.474 -0.895
H3 -2.488 -1.077 -0.001
H4 -2.502 0.472 0.895
N5 0.196 1.045 -0.001
H6 -0.131 2.008 0.003
C7 -0.594 -0.093 0.000
N8 0.155 -1.193 0.000
C9 1.475 -0.755 0.000
H10 2.305 -1.460 -0.000
C11 1.531 0.637 -0.000
H12 2.356 1.347 0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.10521.10011.10522.55052.85121.51722.53993.65484.63723.70464.6776
H21.10521.79021.78972.89862.96282.18203.26134.25695.25804.13385.0154
H31.10011.79021.79013.42143.88262.13442.64503.97544.80834.36935.4163
H41.10521.78971.79012.90042.96312.18223.26104.25725.25824.13495.0166
N52.55052.89863.42142.90041.01741.38502.23822.20783.27461.39562.1806
H62.85122.96283.88262.96311.01742.15133.21393.19584.23832.15412.5727
C71.51722.18202.13442.18221.38502.15131.33092.17203.20552.24703.2823
N82.53993.26132.64503.26102.23823.21391.33091.39062.16712.29023.3611
C93.65484.25693.97544.25722.20783.19582.17201.39061.08951.39382.2796
H104.63725.25804.80835.25823.27464.23833.20552.16711.08952.23592.8078
C113.70464.13384.36934.13491.39562.15412.24702.29021.39382.23591.0880
H124.67765.01545.41635.01662.18062.57273.28233.36112.27962.80781.0880

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 122.937 C1 C7 N8 126.079
H2 C1 H3 108.542 H2 C1 H4 108.128
H2 C1 C7 111.658 H3 C1 H4 108.530
H3 C1 C7 108.218 H4 C1 C7 111.676
N5 C7 N8 110.984 N5 C11 C9 104.644
N5 C11 H12 122.313 H6 N5 C7 126.472
H6 N5 C11 125.710 C7 N5 C11 107.818
C7 N8 C9 105.879 N8 C9 H10 121.330
N8 C9 C11 110.675 C9 C11 H12 133.043
H10 C9 C11 127.995
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.361      
2 H 0.146      
3 H 0.187      
4 H 0.146      
5 N 0.075      
6 H 0.328      
7 C -0.645      
8 N 0.221      
9 C -0.297      
10 H 0.303      
11 C -0.415      
12 H 0.310      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.586 3.669 0.005 3.716
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.080 -0.497 -0.001
y -0.497 -33.697 0.014
z -0.001 0.014 -37.838
Traceless
 xyz
x 5.688 -0.497 -0.001
y -0.497 0.262 0.014
z -0.001 0.014 -5.950
Polar
3z2-r2-11.899
x2-y23.617
xy-0.497
xz-0.001
yz0.014


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.150 -0.068 -0.000
y -0.068 8.360 -0.002
z -0.000 -0.002 4.686


<r2> (average value of r2) Å2
<r2> 116.068
(<r2>)1/2 10.773